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

{{AFC submission|d|nn|u=I Drink Water n Cats|ns=118|decliner=KylieTastic|declinets=20240531175754|ts=20240531173718}} <!-- Do not remove this line! -->
{{AFC submission|d|nn|u=I Drink Water n Cats|ns=118|decliner=Gobonobo|declinets=20240531171253|small=yes|ts=20240531165520}} <!-- Do not remove this line! -->

{{AFC comment|1=It is unlikely that this number is notable. Please see [[WP:NUMBER]] for our notability guideline for numbers. [[User:Gobonobo|<span style="font-family:DejaVu Sans; color: #333300">gobonobo</span>]] [[User talk:Gobonobo|<sup>+</sup>]] [[Special:Contributions/Gobonobo|<sup>c</sup>]] 17:12, 31 May 2024 (UTC)}}

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{{Draft topics|mathematics}}
{{AfC topic|other}}

{{Infobox number|factorization=19^19|divisor=1,978,419,655,660,313,589,123,979, 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|number=1978419655660313589123979|cardinal=one 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|ordinal=1,978,419,655,660,313,589,123,979th|ordinal text=one 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-ninth}}
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 ==
Here are some properties of this number:.<ref>https://oeis.org/search?q=1978419655660313589123979</ref>
* 1,978,419,655,660,313,589,123,979 is equal to 19^19, or 19^^2<ref>{{Cite web|url=https://visualfractions.com/calculator/exponent/what-is-19-to-the-19th-power/|title=What is 19 to the 19th Power? &#124; 19 to the Power of 19|website=visualfractions.com}}</ref>
* It is a power of [[19]].
* It is a solution for n in which:
** <math>a^n + b^n + c^n + ...,</math> where <math>a*b*c* ...</math> is the [[prime factorization]] of n
** <math>a(n) = (2n+1)^{(2n+1)}</math>
** <math>a(n) = n^{rad(n)}</math>
** <math>a({p_1}^{e_1}*{p_2}^{e_2}*.....*{p_m}^{e_m}) = {p_1}^{{p_1}^{e_1}}*{p_2}^{{p}^{{2}^{e_2}}}*.....*{p_m}^{{p_m}^{e_m}}</math> where <math>{p_1}^{e_1}*{p_2}^{e_2}*.....*{p_m}^{e_m}</math> is the [[prime decomposition]] of n
** <math>a(n) = n^{phi(n)+1}, phi(n)</math>
** <math>n = (tau(n) - 1)^k</math> with k as an integer
** <math>n^(p1) + n^(p2) + n^(p3) + ... </math>where<math> (p1)*(p2)*(p3)*.... </math>is the prime factorization of n (with multiplicity).
** n to the power of the [[prime divisor|smallest prime divisor]] of n
** Möbius transform of <math>sigma_n(n)</math>
** n to the power of the [[prime divisor|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<ref>{{Cite web|url=https://t5k.org/curios/page.php?number_id=5752|title=Prime Curios! 19784...23979 (25-digits)|website=t5k.org}}</ref>.
* There are 1,978,419,655,660,313,589,123,979 possible [[baseball|baseball bat]] models<ref>{{Cite web|url=https://oldtimefamilybaseball.com/post/4750133665/from-eephus-league-the-baseball-bat-seems-to|title=Old Time Family Baseball|website=Tumblr}}</ref>
== References ==
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