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14131231254 = 23271794331447
BaseRepresentation
bin11010010100100100…
…10111101000010110
31100110211101221000100
431022102113220112
5212420043400004
610254121154530
71010120324640
oct151222275026
940424357010
1014131231254
115aa1791218
1228a462ba46
131442868bca
14980ab7890
1557a906739
hex34a497a16

14131231254 has 96 divisors (see below), whose sum is σ = 35292741120. Its totient is φ = 4002898176.

The previous prime is 14131231243. The next prime is 14131231271. The reversal of 14131231254 is 45213213141.

14131231254 is a `hidden beast` number, since 1 + 413 + 123 + 125 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9765159 + ... + 9766605.

It is an arithmetic number, because the mean of its divisors is an integer number (367632720).

Almost surely, 214131231254 is an apocalyptic number.

14131231254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14131231254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17646370560).

14131231254 is an abundant number, since it is smaller than the sum of its proper divisors (21161509866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14131231254 is a wasteful number, since it uses less digits than its factorization.

14131231254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2071 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 14131231254 its reverse (45213213141), we get a palindrome (59344444395).

The spelling of 14131231254 in words is "fourteen billion, one hundred thirty-one million, two hundred thirty-one thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 179 358 433 537 866 1074 1253 1299 1447 1611 2506 2598 2894 3031 3222 3759 3897 4341 6062 7518 7794 8682 9093 10129 11277 13023 18186 20258 22554 26046 27279 30387 54558 60774 77507 91161 155014 182322 232521 259013 465042 518026 542549 626551 697563 777039 1085098 1253102 1395126 1554078 1627647 1813091 1879653 2331117 3255294 3626182 3759306 4385857 4662234 4882941 5439273 5638959 8771714 9765882 10878546 11277918 13157571 16317819 26315142 32635638 39472713 78945426 112152629 224305258 336457887 672915774 785068403 1009373661 1570136806 2018747322 2355205209 4710410418 7065615627 14131231254