Draft:1,978,419,655,660,313,589,123,979

  • Comment: It is unlikely that this number is notable. Please see WP:NUMBER for our notability guideline for numbers. gobonobo + c 17:12, 31 May 2024 (UTC)

1978419655660313589123979
Cardinalone septillion nine-hundred seventy-eight sextillion four-hundred nineteen quintillion six-hundred fifty-five quadrillion six-hundred sixty trillion three-hundred thirteen billion five-hundred eighty-nine million one-hundred twenty-three thousand nine-hundred seventy-nine
Ordinal1,978,419,655,660,313,589,123,979th
Factorization19^19
Divisors1,978,419,655,660,313,589,123,979, 104,127,350,297,911,241,532,841, 5,480,386,857,784,802,185,939, 288,441,413,567,621,167,681, 15,181,127,029,874,798,299, 15,181,127,029,874,798,299, 799,006,685,782,884,121, 42,052,983,462,257,059, 2,213,314,919,066,161, 116,490,258,898,219, 6,131,066,257,801, 322,687,697,779, 16,983,563,041, 893,871,739, 47,045,881, 2,476,099, 130,321, 6,859, 361, 19, 1
Greek numeral͵γϡοθ´
Roman numeralN/A

1,978,419,655,660,313,589,123,979 is the interger following 1,978,419,655,660,313,589,123,978 and preceding 1,978,419,655,660,313,589,123,980.

Properties

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Here are some properties of this number:.[1]

  • 1,978,419,655,660,313,589,123,979 is equal to 19^19, or 19^^2[2]
  • It is a power of 19.
  • It is a solution for n in which:
    •   where   is the prime factorization of n
    •  
    •  
    •   where   is the prime decomposition of n
    •  
    •   with k as an integer
    •  where is the prime factorization of n (with multiplicity).
    • n to the power of the smallest prime divisor of n
    • Möbius transform of  
    • n to the power of the largest prime divisor of nw
  • It is a perfect-4 composite.
  • It is a number of the form n^n which contain n as a substring in base 10.
  • It is a tetration that isn't a pentation
  • It is derived from the von Mangoldt matrix sequence.
  • It is the smallest pandigital number of the form p^p where p is prime[3].
  • There are 1,978,419,655,660,313,589,123,979 possible baseball bat models[4]

References

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  1. ^ https://oeis.org/search?q=1978419655660313589123979
  2. ^ "What is 19 to the 19th Power? | 19 to the Power of 19". visualfractions.com.
  3. ^ "Prime Curios! 19784...23979 (25-digits)". t5k.org.
  4. ^ "Old Time Family Baseball". Tumblr.