User:JrandWP/sandbox/List of googolisms

List of googolisms

• Class 0 and 1
• Class 2
• Class 3
• Class 4
• Class 5
• Tetration level
• Up-arrow notation level
• Linear omega level
• Quadratic omega level
• Polynomial omega level
• Exponentiated linear omega level
• Exponentiated polynomial omega level
• Double exponentiated polynomial omega level
• Triple exponentiated polynomial omega level
• Iterated Cantor normal form level
• Epsilon level
• Binary phi level
• Bachmann's collapsing level
• Higher computable level
• Uncomputable numbers

This is a list of googolisms in ascending order.

This list contains ill-defined large numbers, e.g. BEAF numbers beyond tetrational arrays, BIG FOOT, Little Bigeddon, Sasquatch, and large numbers whose well-definedness is not known, e.g. large numbers defined by Taranovsky's ordinal notation and Bashicu matrix number with respect to Bashicu matrix system version 2.3.

This page (the main list) lists the more notable googolisms on each class; click the "More..." link at the end of each section to see more googolisms in that class.

Class 0 (0 - 6)

Name	Value	Approximation (Fast-growing hierarchy)
Zero	0	N/A
Googolplexianminex	\(10^{-(10^{10^{10^{100}}})}\)	N/A
Googolplexminex	\(10^{-(10^{10^{100}})}\)	N/A
Googolminex	\(10^{-(10^{100})}\) or 1/googolplex	N/A
One	1	f0(0)
Two	2	f0(1)
Three	3	f0(2)
Four	4	f0(3)
Five	5	f0(4)
Six	6	f0(5)

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Class 1 (7 - 1,000,000)

Name	Value	Approximation (Fast-growing hierarchy)
Seven	7	f0(6)
Eight	8	f0(7)
Nine	9	f0(8)
Ten	10	f1(5)
Dozen	12	f1(6)
Hundred	100 (102)	f1(50)
Eleventy	110	f1(55)
Twelfty (or long hundred)	120	f1(60)
Gross	144 (122)	f1(72)
Baker's gross	169 (132)	f2(5)
Poulter's gross	196 (142)	f1(98)
Short ream	480	f2(6)
Ream	500	f2(6)
Beast number	666	f2(7)
Thousand / Niloogol	1,000 (103)	f2(7)
Great gross	1,728 (123)	f2(8)
Great Baker's gross	2,197 (133)	f2(8)
Poulter's great gross	2,744 (143)	f2(8)
Myriad	10,000	f2(10)
Lakh	100,000	f2(13)

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Class 2 (1,000,000 - \(10^{1,000,000}\))

Name	Value
Million	1,000,000	f2(16)
Crore	10,000,000	f2(19)
Myllion	100,000,000	f2(22)
Billion(S) / Milliard	1,000,000,000	f2(25)
Dialogue	1010	f2(29)
Trillion(S) / Billion(L)	1012	f2(35)
Quadrillion(S) / Billiard	1015	f2(45)
Byllion	1016	f2(48)
Quintillion(S) / Trillion(L)	1018	f2(54)
Sextillion(S) / Trilliard	1021	f2(64)
Avogadro's number	~6.02214076*1023	f2(73)
Septillion(S) / Quadrillion(L)	1024	f2(74)
Octillion(S) / Quadrilliard	1027	f2(83)
Nonillion(S) / Quintillion(L)	1030	f2(93)
Belphegor's prime	~1.00000000000007*1030	f2(93)
Tryllion	1032	f2(100)
Decillion(S) / Quintilliard	1033	f2(103)
Undecillion(S) / Sextillion(L)	1036	f2(113)
Duodecillion(S) / Sextilliard	1039	f2(123)
Tredecillion(S) / Septillion(L)	1042	f2(133)
Quattuordecillion(S) / Septilliard	1045	f2(143)
Quindecillion(S) / Octillion(L)	1048	f2(151)
Sexdecillion(S) / Octilliard	1051	f2(162)
Septendecillion(S) / Nonillion(L)	1054	f2(171)
Octodecillion(S) / Nonilliard	1057	f2(182)
Novemdecillion(S) / Decillion(L)	1060	f2(192)
Vigintillion(S) / Decilliard	1063	f2(202)
Quadryllion	1064	f2(205)
Eddington number	136*2256 ~ 1.5747724136275*1079	f2(256)
Trigintillion(S)	1093	f2(301)
Googol	10100	f2(323)
Vigintillion(L)	10120	f2(390)
Quadragintillion(S)	10123	f2(400)
Googolex	12060 ~ 5.6347514353165*10124	f2(405)
Quintyllion	10128	f2(417)
Quinquagintillion(S)	10153	f2(499)
Trigintillion(L)	10180	f2(589)
Sexagintillion(S)	10183	f2(599)
Number of Planck volumes in the observable universe	~4.6*10185	f2(607)
Gargoogol	10200	f2(656)
Septuagintillion(S)	10213	f2(698)
Hundertime	4.71193079990*10219	f2(721)
Googoc	200100 ~ 1.2676506002282*10230	f2(754)
Quadragintillion(L)	10240	f2(787)
Octogintillion(S)	10243	f2(797)
Nonagintillion(S)	10273	f2(897)
Quinquagintillion(L)	10300	f2(996)
Centillion(S)	10303	f2(997)
Sexagintillion(L)	10360	f2(1,185)
Primo-vigesimo-centillion(S)	10366	f2(1,205)
Faxul	200! ~ 7.88657867364*10374	f2(1,235)
Septuagintillion(L)	10420	f2(1,384)
Octogintillion(L)	10480	f2(1,584)
Googocci	402201 ~ 2.814729533583*10523	f2(1,728)
Nonagintillion(L)	10540	f2(1,783)
Centillion(L)	10600	f2(1,982)
Primo-vigesimo-centillion(L)	10726	f2(2,400)
Googolchime	101,000	f2(3,310)
Millillion(S)	103,003	f2(9,962)
Decyllion	104,096	f2(13,592)
Millillion(L)	106,000	f2(19,917)
Googoltoll	1010,000	f2(33,204)
Hitchhiker's number	2276,709 ~ 5.117645330517*1083,297	f2(f2(14))
Googolgong	10100,000	f2(f2(15))

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Class 3 (\(10^{1,000,000} - 10^{10^{1,000,000}}\))

Name	Value	Approximation (fast-growing hierarchy)
Maximusmillion	101,000,000	f2(f2(17))
Milli-millillion(S)	103,000,003	f2(f2(19))
Vigintyllion	104,194,304	f2(f2(19))
Milli-millillion(L)	106,000,000	f2(f2(20))
Largest known prime	282,589,933-1 ~ 1.488944*1024,862,047	f2(f2(22))
Nanillion	103,000,000,003	f2(f2(28))
Trialogue	101010	f2(f2(30))
Ballium's number	~ 2.03542*10138,732,019,349	f2(f2(33))
Picillion	103*1012+3	f2(f2(37))
Femtillion	103*1015+3	f2(f2(48))
Attillion	103*1018+3	f2(f2(57))
Zeptillion	103*1021+3	f2(f2(67))
Yoctillion	103*1024+3	f2(f2(76))
Xonillion	103*1027+3	f2(f2(86))
Vecillion	103*1030+3	f2(f2(96))
Mecillion	103*1033+3	f2(f2(106))
Duecillion	103*1036+3	f2(f2(116))
Trecillion	103*1039+3	f2(f2(125))
Tetrecillion	103*1042+3	f2(f2(135))
Icosillion	103*1060+3	f2(f2(195))
Triacontillion	103*1090+3	f2(f2(294))
Googolplex	1010100	f2(f2(325))
Gargoogolplex	googolplex2 = 102*10100	f2(f2(326))
Googolbang	(10100)! ~ 109.957*10101	f2(f2(332))
Tetracontillion	103*10120+3	f2(f2(393))
Pentacontillion	103*10150+3	f2(f2(492))
Hexacontillion	103*10180+3	f2(f2(592))
Heptacontillion	103*10210+3	f2(f2(691))
Octacontillion	103*10240+3	f2(f2(791))
Ennacontillion	103*10270+3	f2(f2(890))
Hectillion	103*10300+3	f2(f2(989))
Ecetonplex	1010303	f2(f2(998))
Kilofaxul	(200!)! ~ 1010379	f2(f2(1245))
Dohectillion	103*10600+3	f2(f2(1985))
Googolplexichime	10101,000	f2(f2(3311))
Killillion	103*103,000+3	f2(f2(9955))
Googolplexigong	1010100,000	f2(f2(f2(14)))

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Class 4

Name	Value	Approximation (fast-growing hierarchy)
Millionduplex	10101,000,000	f23(17)
Megillion	103*103,000,000+3	f23(21)
Gigillion	103*103,000,000,000+3	f23(32)
Tetralogue	10101010	f23(35)
Terillion	103*103*1012+3	f23(37)
Petillion	103*103*1015+3	f23(47)
Exillion	103*103*1018+3	f23(57)
Zettillion	103*103*1021+3	f23(67)
Yottillion	103*103*1024+3	f23(76)
Xennillion	103*103*1027+3	f23(86)
Dakillion	103*103*1030+3	f23(96)
Hendillion	103*103*1033+3	f23(106)
First Skewes number	eee79 ~ 10101034	f23(108)
Dokillion	103*103*1036+3	f23(116)
Tradakillion	103*103*1042+3	f23(126)
Ikillion	103*103*1060+3	f23(195)
Trakillion	103*103*1090+3	f23(294)
Googolduplex	101010100	f23(324)
Fzgoogolplex	(1010100)1010100 = 101010100+100	f23(326)
Tekillion	103*103*10120+3	f23(393)
Hotillion	103*103*10300+3	f23(990)
Ecetonduplex	101010303
Megafaxul	((200!)!)! ~ 101010379	f23(1235)
Botillion	103*103*10600+3	f23(1986)
Trotillion	103*103*10900+3	f23(2982)
Second Skewes number	eeee7.705 ~ 101010963
Totillion	103*103*101,200+3	f23(3978)
Kalillion	103*103*103,000+3	f23(9956)
Dalillion	103*103*106,000+3	f23(19921)
Tralillion	103*103*109,000+3	f23(29886)
Talillion	103*103*1012,000+3	f23(39851)
Dakalillion	103*103*1030,000+3	f23(99645)
Googolduplexigong	101010100,000	f24(14)
Hotalillion	103*103*10300,000+3	f24(16)

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Class 5

Name	Value
Mejillion	103*103*103,000,000+3
Gijillion	103*103*10300,000,0000+3
Pentalogue	1010101010
Astillion	103*103*103*1012+3
Lunillion	103*103*103*1015+3
Fermillion	103*103*103*1018+3
Multillion	103*103*103*1042+3
Googoltriplex	10101010100
Fzgargoogolplex	googolduplexgoogolduplex
Ecetontriplex	10101010303
Gigafaxul	(((200!)!)!)! ~ 10101010379
Googoltriplexigong	10101010100,000

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Tetration level

Name	Value
Hexalogue	10↑↑6
Googolquadriplex	E100#5
Fzgargantugoogolplex	googoltriplexgoogoltriplex
Heptalogue	10↑↑7
Googolquinplex	E100#6
Octalogue	10↑↑8
Googolsextiplex	E100#7
Ennalogue	10↑↑9
Bentley's Number	\(\sum^{9}_{i = 0} 10 \uparrow\uparrow i\)
Googolseptiplex	E100#8
Decker	{10,10,2} = 10↑↑10
Googoloctiplex	E100#9
Endekalogue	10↑↑11
Equinoxal	10(≡) = 10(10)(10)
Googolnoniplex	E100#10
Dodekalogue	10↑↑12
Googoldeciplex	E100#11
Triadekalogue	10↑↑13
Tetradekalogue	10↑↑14
Giggol	{10,100,2} = 10↑↑100
Grangol	E100#100
Expofaxul	200!1
Mega	2[5] = 256[4] ~ 10↑↑258
Chilialogue	10↑↑1,000
Grangolgong	E100,000#100,000
Tritri	{3,3,3} = {3,7625597484987,2} = 3↑↑7,625,597,484,987
Googolgoogolplex	10↑↑(10100)
Googoldex	E100#(10100) = E100#1#2
Ecetondex	E303#1#2
Grand Faxul	~ 10↑↑10379

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Up-arrow notation level

Name	Value
Zootzootplex	Exponential factorial of googolplex = googolplexgoogolplex-1googolplex-2...432.
Googolplexstack	10↑↑(1010100)
Googolplexidex	E100#(1010100) = E100#2#2
Grand Kilofaxul	~ 10↑↑1010379
Tria-teraksys	E1#1#3 = 10↑↑↑3 = 10↑↑10↑↑10
Equiduoxal	10(≡≡) = 10(10(≡))(10(≡))
Giggolplex	{10,giggol,2} = 10↑↑10↑↑100
Grangoldex	E100#100#2
Kiloexpofaxul	(200!1)!1
Grangoldexigong	E100,000#100,000#2
Googolgoogolduplex	10↑↑10↑↑(10100)
Ecetondudex	E303#1#3
Bigrand Faxul	~ 10↑↑10↑↑(10379)
Tetra-teraksys	E1#1#4 = 10↑↑↑4
Giggolduplex	{10,giggolplex,2} = 10↑↑10↑↑10↑↑100
Grangoldudex	E100#100#3
Megaexpofaxul	((200!1)!1)!1
Grangoldudexigong	E100,000#100,000#3
Googolgoogoltriplex	10↑↑10↑↑10↑↑(10100)
Deka-teraksys	E1#1#10 = 10↑↑↑10
Megiston	10[5] ~ 10↑↑↑11
Gaggol	{10,100,3} = 10↑↑↑100
Greagol	E100#100#100
Tetrofaxul	200!2
Greagolgong	E100,000#100,000#100,000
Googol-3-flex	10↑↑↑(10100)
Ecetonthrex	E303#1#1#2
Folkman's number	2↑↑↑(2901)
Grand expofaxul	~ 10↑↑↑10↑↑198
A-ooga	2[6]
Grahal	g1 = 3↑↑↑↑3
Tria-petaksys	10↑↑↑↑3
Gaggolplex	{10,gaggol,3}
Greagolthrex	E100#100#100#2
Kilotetrofaxul	(200!2)!2
Greagolthrexigong	E100,000#100,000#100,000#2
Ecetonduthrex	E303#1#1#3
Tritet	{4,4,4} = 4↑↑↑↑4
Greagolduthrex	E100#100#100#3
Greagolduthrexigong	E100,000#100,000#100,000#3
Equitrioxal	10(≡≡≡) = 10(10(≡≡))(10(≡≡))
Hexar	\(Q_{1,0}(6)\) = 6↑↑↑↑6
Geegol	{10,100,4} = 10↑↑↑↑100
Gigangol	E100#100#100#100
Pentofaxul	200!3
Geegolplex	{10,geegol,4}
Gigangoltetrex	E100#100#100#100#2
Tripent	{5,5,5} = 5↑↑↑↑↑5
Gigol	{10,100,5} = 10↑↑↑↑↑100
Gorgegol	E100#100#100#100#100
Hexofaxul	200!4
Gigolplex	{10,gigol,5}
Gorgegolpentex	E100#100#100#100#100#2
Goggol	{10,100,6}= 10↑↑↑↑↑↑100
Gulgol	E100#100#100#100#100#100
Goggolplex	{10,goggol,6}
Gulgolhex	E100#100#100#100#100#100#2
Trisept	{7,7,7} = 7↑77
Gagol	{10,100,7} = 10↑7100
Gaspgol	E100#100#100#100#100#100#100
Gagolplex	{10,gagol,7}
Gaspgolheptex	E100#100#100#100#100#100#100#2
Ginorgol	E100#100#100#100#100#100#100#100
Ginorgoloctex	E100#100#100#100#100#100#100#100#2
Tridecal	{10,10,10}
Boogol	{10,10,100}
Gugold	E100##100
Hyperfaxul	200![1]
Gugoldagong	E100,000##100,000
Gongol	hyper(10,10100,100)
Googoldiflux	\(10 \underbrace{\uparrow\uparrow\ldots\uparrow\uparrow}_{10^{100}} (10^{100})\)
Equiquioxal	10(≡{≡}≡)

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Linear omega level

Name	Value
\(q(6)\) (lower bound)
Moser	2[2[5]] using Steinhaus-Moser notation, ~ 3 ↑Mega 3
Boogolplex	{10,10,{10,10,100}}
Gugolda-suplex	E100##100#2
Kilohyperfaxul	(200![1])![1]
Gongolplex	hyper(10,gongol,100)
Dihexar	\(Q_{1,1}(6) \approx 6\rightarrow 6\rightarrow 6\rightarrow 2\)
Graham's number	g64, where g1 = 3 ↑4 3 and gn = 3 ↑gn-1 3, ~ {3,65,1,2}
xkcd number	A(G,G), where G is Graham's number, ~ {3,66,1,2}
Corporal	{10,100,1,2}
Graatagold	E100##100#100
Forcal	g1,000,000
Conway's Tetratri	3→3→3→3 ~ {33,3,2,2}
Corporalplex	{10,{10,100,1,2},1,2}
Graatagolda-sudex	E100##100#100#2
Force forcal	gforcal
Trihexar	\(Q_{1,2}(6)\)
Greegold	E100##100#100#100
Suporcal	Forcal(1,000,000)
Greegolda-suthrex	E100##100#100#100#2
Grinningold	E100##100##4
Megocal	Forcal2(1,000,000)
Golaagold	E100##100##5
Gruelohgold	E100##100##6
Gaspgold	E100##100##7
Ginorgold	E100##100##8
Grand tridecal	{10,10,10,2}
Gugolthra	E100##100##100
Biggol	{10,10,100,2}
Giaxul	200![200] = 200![1,2]
Ultron	\(\approx f_{\omega+200} (100)\)
Terribocal	Forcal1,2(1)
Biggolplex	{10,10,{10,10,100,2},2}
Graatagolthra	E100##100##100##2
Tetratri	{3,3,3,3}
Septasexahexar	\(Q_{3,0}(6)\)
Gugoltesla	E100##100##100##100
Baggol	{10,10,100,3}
Tribocal	Forcal1,3(1)
Baggolplex	{10,10,{10,10,100,3},3}
Graatagoltesla	E100##100##100##100##2
Supertet	{4,4,4,4}
Gugolpeta	E100##100##100##100##100
Beegol	{10,10,100,4}
Beegolplex	{10,10,{10,10,100,4},4}
Gugolhexa	E100###6
Bigol	{10,10,100,5}
Bigolplex	{10,10,{10,10,100,5},5}
Gugolhepta	E100###7
Boggol	{10,10,100,6}
Boggolplex	{10,10,{10,10,100,6},6}
Gugolocta	E100###8
Bagol	{10,10,100,7}
Bagolplex	{10,10,{10,10,100,7},7}
General	{10,10,10,10}
Kaboodol	\(\underbrace{10 \rightarrow\ldots\rightarrow 10}_{102} < \text{kaboodol} < \underbrace{10 \rightarrow\ldots\rightarrow 10}_{103}\)
Throogol	E100###100
Troogol	{10,10,10,100}
Giabixul	200![200,200]

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Quadratic omega level

Name	Value
Generalplex	{10,10,10,{10,10,10,10}} = {10,3,1,1,2}
Kaboodolplex	\(\underbrace{10 \rightarrow\ldots\rightarrow 10}_{\text{kaboodol}+2} < \text{kaboodolplex} < \underbrace{10 \rightarrow\ldots\rightarrow 10}_{\text{kaboodol}+3}\)
Troogolplex	{10,10,10,{10,10,10,100}}
BOX_M̃
Thrangol	E100###100#100
Threagol	E100###100##3
Thrugold	E100###100##100
Thrugolthra	E100###100###3
Thrugoltesla	E100###100###4
Throotrigol	E100###100###100
Triggol	{10,10,10,100,2}
Triggolplex	{10,10,10,{10,10,10,100,2},2}
Thrantrigol	E100###100###100#100
Thrutrigold	E100###100###100##100
Pentatri	{3,3,3,3,3}
Throotergol	E100###100###100###100
Traggol	{10,10,10,100,3}
Throopetol	E100###100###100###100###100
Treegol	{10,10,10,100,4}
Superpent	{5,5,5,5,5}
Throohexol	E100####6
Trigol	{10,10,10,100,5}
Throoheptgol	E100####7
Troggol	{10,10,10,100,6}
Throogogdol	E100####8
Tragol	{10,10,10,100,7}
Pentadecal	{10,10,10,10,10}
Tetroogol	E100####100
Quadroogol	{10,10,10,10,100}

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Polynomial omega level

Name	Value
Pentadecalplex	{10,10,10,10,{10,10,10,10,10}}
Quadroogolplex	{10,10,10,10,{10,10,10,10,100}}
Tetrangol	E100####100#100
Tetrugold	E100####100##100
Tetrithroogol	E100####100###100
Tetrootrigol	E100####100####100
Quadriggol	{10,10,10,10,100,2}
Hexatri	{3,3,3,3,3,3}
Tetrootergol	E100####100####100####100
Quadraggol	{10,10,10,10,100,3}
Tetroopetol	E100####100####100####100####100
Quadreegol	{10,10,10,10,100,4}
Tetroohexol	E100#####6
Quadrigol	{10,10,10,10,100,5}
Superhex	{6,6,6,6,6,6}
Tetrooheptgol	E100#####7
Quadroggol	{10,10,10,10,100,6}
Tetroogogdol	E100#####8
Quadragol	{10,10,10,10,100,7}
Hexadecal	{10,10,10,10,10,10}
Pentoogol	E100#####100
Quintoogol	{10,10,10,10,10,100}
Quintiggol	{10,10,10,10,10,100,2}
Quintaggol	{10,10,10,10,10,100,3}
Quinteegol	{10,10,10,10,10,100,4}
Quintigol	{10,10,10,10,10,100,5}
Quintoggol	{10,10,10,10,10,100,6}
Supersept	{7,7,7,7,7,7,7}
Quintagol	{10,10,10,10,10,100,7}
Heptadecal	{10,10,10,10,10,10,10}
Hexoogol	E100######100
Sextoogol	{10,10,10,10,10,10,100}
Superoct	{8,8,8,8,8,8,8,8}
Octadecal	{10,10,10,10,10,10,10,10}
Heptoogol	E100#######100
Septoogol	{10,10,10,10,10,10,10,100}
Superenn	{9,9,9,9,9,9,9,9,9}
Ennadecal	{10,10,10,10,10,10,10,10,10}
Ogdoogol	E100########100
Octoogol	{10,10,10,10,10,10,10,10,100}
Iteral	{10,10,10,10,10,10,10,10,10,10} = {10,10 (1) 2} = {10,2,2 (1) 2}
Ultatri	{3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3} = {3,27 (1) 2}
Goobol	{10,100(1)2}
Godgahlah	E100#100100 = E100#^#100
Giatrixul	200![200,200,200]
Godgahlahgong	E100,000#100,000100,000

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Exponentiated linear omega level

Name	Value
Dupertri	{3,{3,3,3}(1)2} = {3,3,2 (1) 2}
Duperdecal	{10,{10,10(1)2}(1)2}
Goobolplex	{10,{10,100(1)2}(1)2}
Grand godgahlah	E100#godgahlah100 = E100#^#100#2
Grand godgahlahgong	E100,000#godgahlahgong100,000
Grand grand godgahlah	E100#^#100#3
Gibbol	{10,100,2(1)2}
Grandgahlah	E100#^#100#100
Latri	{3,3,3(1)2}
Gabbol	{10,100,3(1)2}
Greagahlah	E100#^#100#100#100
Boobol	{10,10,100(1)2}
Gugoldgahlah	E100#^#100##100
Bibbol	{10,10,100,2(1)2}
Gugolthragahlah	E100#^#100##100##100
Troobol	{10,10,10,100(1)2}
Throogahlah	E100#^#100###100
Quadroobol	{10,10,10,10,100(1)2}
Tetroogahlah	E100#^#100####100
Gootrol	{10,100(1)3}
Gotrigahlah	E100#^#100#^#100
Bootrol	{10,10,100(1)3}
Gooquadrol	{10,100(1)4}
Gotergahlah	E100#^#100#^#100#^#100
Emperal	{10,10(1)10}
Gossol	{10,10(1)100}
Godgoldgahlah	E100#^#*#100
Emperalplex	{10,10(1){10,10(1)10}}
Gossolplex	{10,10(1){10,10(1)100}}
Gotrigoldgahlah	E100#^#*##3
Gissol	{10,10(1)100,2}
Gassol	{10,10(1)100,3}
Hyperal	{10,10(1)10,10}
Mossol	{10,10(1)10,100}
Godthroogahlah	E100#^#*##100
Mossolplex	{10,10(1)10,{10,10(1)10,100}}
Bossol	{10,10(1)10,10,100}
Godtetroogahlah	E100#^#*###100
Trossol	{10,10(1)10,10,10,100}
Godpentoogahlah	E100#^#*####100
Quadrossol	{10,10(1)10,10,10,10,100}
Quintossol	{10,10(1)10,10,10,10,10,100}
Diteral	{10,10 (1)(1) 2}
Dubol	{10,100 (1)(1) 2}
Deutero-godgahlah	E100#^#*#^#100
Diteralplex	{10,diteral (1)(1) 2}
Dutrol	{10,100 (1)(1) 3}
Duquadrol	{10,100 (1)(1) 4}
Admiral	{10,10 (1)(1) 10}
Dossol	{10,10 (1)(1) 100}
Deutero-godgoldgahlah	E100#^#*#^#*#100
Dossolplex	{10,10 (1)(1) dossol}
Dutritri	{3,3,3 (1) 3,3,3 (1) 3,3,3}
Dutridecal	{10,10,10 (1) 10,10,10 (1) 10,10,10}
Trito-godgahlah	E100#^#*#^#*#^#100
Teterto-godgahlah	E100#^#*#^#*#^#*#^#100
Xappol	{10,10 (2) 2}
Gridgahlah	E100#^##100

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Exponentiated polynomial omega level

Name	Number
Xappolplex	{10,xappol (2) 2}
Grand xappol	{10,10 (2) 3}
Dimentri	{3,3 (3) 2}
Colossol	{10,10 (3) 2}
Kubikahlah	E100#^###100
Colossolplex	{10,colossol (3) 2}
Terossol	{10,10 (4) 2}
Quarticahlah	E100#^####100
Terossolplex	{10,terossol (4) 2}
Petossol	{10,10 (5) 2}
Quinticahlah	E100#^#^#5
Petossolplex	{10,petossol (5) 2}
Ectossol	{10,10 (6) 2}
Sexticahlah	E100#^#^#6
Ectossolplex	{10,ectossol (6) 2}
Zettossol	{10,10 (7) 2}
Septicahlah	E100#^#^#7
Zettossolplex	{10,zettossol (7) 2}
Yottossol	{10,10 (8) 2}
Octicahlah	E100#^#^#8
Yottossolplex	{10,yottossol (8) 2}
Xennossol	{10,10 (9) 2}
Xennossolplex	{10,xennossol (9) 2}
Dimendecal	{10,10 (10) 2}
Gongulus	{10,10 (100) 2}
Godgathor	E100#^#^#100

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Double exponentiated polynomial omega level

Name	Value
Gongulusplex	{10,10 (gongulus) 2}
Gongulusduplex	{10,10 (gongulusplex) 2}
Deutero-godgathor	E100#^#^#*#^#^#100
Trito-godgathor	E100#^#^#*#^#^#*#^#^#100
Hecato-godgathor	E100#^(#^#*#)100
Godgridgathor	E100#^(#^#*##)100
Dulatri	{3,3 (0,2) 2}
Godkubikgathor	E100#^(#^#*###)100
Gingulus	{10,100 (0,2) 2}
Godgathordeus	E100#^(#^#*#^#)100
Trilatri	{3,3 (0,3) 2}
Gangulus	{10,100 (0,3) 2}
Godgathortruce	E100#^(#^#*#^#*#^#)100
Geengulus	{10,100 (0,4) 2}
Godgathorquad	E100#^(#^#*#^#*#^#*#^#)100
Gowngulus	{10,100 (0,5) 2}
Gungulus	{10,100 (0,6) 2}
Bongulus	{10,100 (0,0,1) 2}
Gralgathor	E100#^#^##100
Bingulus	{10,100 (0,0,2) 2}
Gralgathordeus	E100#^(#^##*#^##)100
Trimentri	{3,3 (0,0,0,1) 2} = {3,3 ((1)1) 2}
Bangulus	{10,100 (0,0,3) 2}
Gralgathortruce	E100#^(#^##*#^##*#^##)100
Beengulus	{10,100 (0,0,4) 2}
Gralgathorquad	E100#^(#^##*#^##*#^##*#^##)100
Trongulus	{10,100 (0,0,0,1) 2}
Thraelgathor	E100#^#^###100
Quadrongulus	{10,100 (0,0,0,0,1) 2}
Terinngathor	E100#^#^####100
Pentaelgathor	E100#^#^#####100
Quintongulus	{10,100 (0,0,0,0,0,1) 2}
Sextongulus	{10,100 (0,0,0,0,0,0,1) 2}
Septongulus	{10,100 (0,0,0,0,0,0,0,1) 2}
Octongulus	{10,100 (0,0,0,0,0,0,0,0,1) 2}
Goplexulus	\(\lbrace10,100 (\underbrace{0,0,\ldots ,0,0,}_{100 \text{ zeroes}}1) 2\rbrace\) = {10,100 ((1)1) 2}
Godtothol	E100#^#^#^#100

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Triple exponentiated polynomial omega level

Name	Value
Extendol	s(3,3{1`2}2)
Graltothol	E100#^#^#^##100
Goduplexulus	{10,100 ((100)1) 2}
Thraeltothol	E100#^#^#^###100
Terinntothol	E100#^#^#^####100
Pentaeltothol	E100#^#^#^#####100
Godtertol	E100#^#^#^#^#100
Gotriplexulus	\(\lbrace 10,100 ((\underbrace{0,0,\ldots ,0,0,}_{100 \text{ zeroes}}1)1) 2\rbrace\) = {10,100 (((1)1)1) 2}

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Iterated Cantor normal form level

Name	Value
Graltertol	E100#^#^#^#^##100
Thraeltertol	E100#^#^#^#^###100
Godtopol	E100#^#^#^#^#^#100
Graltopol	E100#^#^#^#^#^##100
Godhathor	E100#^#^#^#^#^#^#100
Godheptol	E100#^#^#^#^#^#^#^#100
Godoctol	E100#^#^#^#^#^#^#^#^#100
Godentol	E100#^#^#^#^#^#^#^#^#^#100
Goddekathol	E100#^#^#^#^#^#^#^#^#^#^#100
Tethrathoth	E100#^^#100
Goppatoth	10↑↑100 & 10
Nucleaxul	200![200200]
Giaquaxul	200![200,200,200,200]

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Epsilon level

Name	Value
Grand tethrathoth	E100#^^#100#2
Goppatothplex	10↑↑(goppatoth) & 10
Grantethrathoth	E100#^^#100#100
Tethratrithoth	E100#^^#100#^^#100
Deutero-tethrathoth	E100#^^#*#^^#100
Hecato-tethrathoth	E100(#^^#)^#100
Monster-Giant	E100(#^^#)^(#^^#)^#100
Super Monster-Giant	E100(#^^#)^(#^^#)^(#^^#)^#100
Terrible tethrathoth	E100(#^^#)^^#100
Terrible terrible tethrathoth	E100((#^^#)^^#)^^#100
Tethrathoth ba'al	E100#^^#>#100
Great and Terrible Tethrathoth	E100#^^#>#100#2
Gippatoth	100↑↑(2 × 100) & 10
Gappatoth	100↑↑(3 × 100) & 10
Geepatoth	100↑↑(4 × 100) & 10
Grangol-carta-tethriterator	E100#^^#>#100#100
Tethriterhecate	E100#^^#>#*#100
Deutero-tethriterator	E100#^^#>#*#^^#>#100
Tethriterfact	E100(#^^#>#)^#100
Terrible tethriterator	E100(#^^#>#)^^#100
Tethriditerator	E100#^^#>(#+#)100
Tethrigriditerator	E100#^^#>##100
Tethrispatialator	E100#^^#>#^#100
Dustaculated-tethrathoth	E100#^^#>#^^#100
Tristaculated-tethrathoth	E100#^^#>#^^#>#^^#100
Tethracross	E100#^^##100
Boppatoth	100↑↑(1002) & 10

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Binary phi level

Name	Value
Terrible tethracross	E100(#^^##)^^#100
Secundotethrated-tethracross	E100(#^^##)^^##100
Tethritercross	E100#^^##>#100
Dustaculated-tethracross	E100#^^##>#^^##100
Tethracubor	E100#^^###100
Troppatoth	100↑↑(1003) & 10
Terrible tethracubor	E100(#^^###)^^#100
Tethraducubor	E100(#^^###)^^###100
Tethritercubor	E100#^^###>#100
Dustaculated-tethracubor	E100#^^###>#^^###100
Tethrateron	E100#^^####100
Quadroppatoth	100↑↑(1004) & 10
Terrible tethrateron	E100(#^^####)^^#100
Tethraduteron	E100(#^^####)^^####100
Tethra-hectateron	E100#^^####>#100
Dustaculated-tethrateron	E100#^^####>#^^####100
Tethrapeton	E100#^^#^#5
Tethrahexon	E100#^^#^#6
Tethrahepton	E100#^^#^#7
Tethra-ogdon	E100#^^#^#8
Tethrennon	E100#^^#^#9
Tethradekon	E100#^^#^#10
Tethrafact	E100#^^#^#100
Tethrato-tethrathoth	E100#^^#^^#100
Tethrarxitet	E100#^^#^^#^^#100
Pentacthulhum	E100#^^^#100

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Bachmann's collapsing level

Name	Value
Pentacthuldugon	E100(#^^^#)^^^#100
Pentacthuliterator	E100#^^^#>#100
Hugexul	200![200(1)200]
Superior Hugexul	200![200(1)200,200]
Dustaculated-pentacthulhum	E100#^^^#>#^^^#100
Pentacthulcross	E100#^^^##100
Bisuperior Hugexul	200![200(1)200,200,200]
Pentacthulcubor	E100#^^^###100
Pentacthulteron	E100#^^^####100
Pentacthultope	E100#^^^#^#100
Pentacthularxitri	E100#^^^#^^^#100
Hexacthulhum	E100#^^^^#100
Hugebixul	200![200(1)200(1)200]
Hexacthuliterator	E100#^^^^#>#100
Superior Hugebixul	200![200(1)200(1)200,200]
Hexacthulcross	E100#^^^^##100
Heptacthulhum	E100#{5}#100
Hugetrixul	200![200(1)200(1)200(1)200]
Ogdacthulhum	E100#{6}#100
Hugequaxul	200![200(1)200(1)200(1)200(1)200]
Ennacthulhum	E100#{7}#100
Dekacthulhum	E100#{8}#100
Goliath	E100#{10}#100
Godsgodgulus	E100#{#}#100
Godsgodgulcross	E100#{#}##100
Godsgodeus	E100#{#+#}#100
The centurion	E100#{#^#}#100
Ohmygosh-ohmygosh-ohmygooosh	E100#{#{#}#}#100
Blasphemorgulus	E100{#,#,1,2}100
Hundrelasphemorgue	E100{#,#+1,1,2}100
Enormaxul	200![200(2)200]
Superior Enormaxul	200![200(2)200,200]
Bisuperior Enormaxul	200![200(2)200,200,200]
Enormabixul	200![200(2)200(2)200]
Enormatrixul	200![200(2)200(2)200(2)200]
Enormaquaxul	200![200(2)200(2)200(2)200(2)200]
Destruxul	200![200(200)200]
Great Destruxul	200![200(200)200(200)200]
Bigreat Destruxul	200![200(200)200(200)200(200)200]
Bird's number	\(f_{\vartheta(\Omega^{\omega})+2}(f_{\vartheta(\Omega^{\omega})+1}(f_{\vartheta(\Omega^{\omega})}(f_{\vartheta(\Omega^{\omega})}(7))))\)
TREE[3] (lower bound)
Destrubixul	200![200([200(200)200])200]
Destrutrixul	200![200([200([200(200)200])200])200]
Destruquaxul	200![200([200([200([200(200)200])200])200])200]
Golapulus	10100&10&10
Extremexul	200![1(1)[2200,200,200,200]]

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Higher computable level

Since the comparison (or even the well-definedness) of numbers of this level is unknown, the order of entries does not necessarily imply the order of the sizes. Also, several numbers are defined by an OCF, which is uncomputable, and are not known to be computable.

Name	Value
Extremebixul	200![1(1)[2200,200,200,200,200]]
Extremetrixul	200![1(1)[2200,200,200,200,200,200]]
Extremequaxul	200![1(1)[2200,200,200,200,200,200,200]]
Gigantixul	200![1(1)[3200,200,200]]
Gigantibixul	200![1(1)[3200,200,200,200]]
Gigantitrixul	200!1(1)[3200,200,200,200,200]]
Gigantiquaxul	200![1(1)[3200,200,200,200,200,200]]
Nucleabixul	200![[200200]200]
SCG(13) (lower bound)
段階配列数	g100(100)
Nucleatrixul	200![[[200200]200]200]
Nucleaquaxul	200![[[[200200]200]200]200]
BIGG	200?
Kumakuma 3 variables ψ number	F10100(10100)
グラハム数ver ε.0.1.0	G64(4)
Loader's number	D5(99)
Bashicu matrix number with respect to Bashicu matrix system version 2.3
６ (N primitive)
Y sequence number	f2000(1)
the least transcendental integer

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Uncomputable numbers

The term "uncomputable number" here refers to the numbers defined in terms of uncomputably fast-growing functions. This table contains large numbers which are known to be ill-defined. For more details on the ill-definedness, click the "More..." link below.

Name	Value	Ill-defined?
1919-th busy beaver	\(\Sigma(1919)\)	No
Fish number 4	F463(3)	No
\(\Xi(10^6)\)		No
\(\Sigma_\infty(10^9)\)		No
Rayo's number	Rayo(10100)	Partially
Fish number 7	F763(10100)	Partially
BIG FOOT	FOOT10(10100)	Yes
Little Bigeddon		Yes
Sasquatch		Yes
Large Number Garden Number	\(f^{10}(10 \uparrow^{10} 10)\)	Not determined yet

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Notes

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