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14104123123104 = 2532743162699833
BaseRepresentation
bin1100110100111101111100…
…1111111010010110100000
31211221100012120221122121100
43031033133033322112200
53322040221004414404
645555202242554400
72653663214322120
oct315173717722640
954840176848540
1014104123123104
11454858589a143
1216b9582368a00
137b4022a336b1
1436a900d32c80
15196d320cdd39
hexcd3df3fa5a0

14104123123104 has 144 divisors (see below), whose sum is σ = 46904409744192. Its totient is φ = 3936034335744.

The previous prime is 14104123123073. The next prime is 14104123123133. The reversal of 14104123123104 is 40132132140141.

It is a happy number.

14104123123104 is a `hidden beast` number, since 1 + 4 + 10 + 412 + 3 + 1 + 231 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81263229 + ... + 81436604.

It is an arithmetic number, because the mean of its divisors is an integer number (325725067668).

Almost surely, 214104123123104 is an apocalyptic number.

14104123123104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14104123123104 is an abundant number, since it is smaller than the sum of its proper divisors (32800286621088).

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

14104123123104 is a wasteful number, since it uses less digits than its factorization.

14104123123104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162699899 (or 162699888 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14104123123104 its reverse (40132132140141), we get a palindrome (54236255263245).

The spelling of 14104123123104 in words is "fourteen trillion, one hundred four billion, one hundred twenty-three million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 72 84 86 96 112 126 129 144 168 172 224 252 258 288 301 336 344 387 504 516 602 672 688 774 903 1008 1032 1204 1376 1548 1806 2016 2064 2408 2709 3096 3612 4128 4816 5418 6192 7224 9632 10836 12384 14448 21672 28896 43344 86688 162699833 325399666 488099499 650799332 976198998 1138898831 1301598664 1464298497 1952397996 2277797662 2603197328 2928596994 3416696493 3904795992 4555595324 5206394656 5857193988 6833392986 6996092819 7809591984 9111190648 10250089479 11714387976 13666785972 13992185638 15619183968 18222381296 20500178958 20988278457 23428775952 27333571944 27984371276 36444762592 41000357916 41976556914 46857551904 48972649733 54667143888 55968742552 62964835371 82000715832 83953113828 97945299466 109334287776 111937485104 125929670742 146917949199 164001431664 167906227656 195890598932 223874970208 251859341484 293835898398 328002863328 335812455312 391781197864 440753847597 503718682968 587671796796 671624910624 783562395728 881507695194 1007437365936 1175343593592 1567124791456 1763015390388 2014874731872 2350687187184 3526030780776 4701374374368 7052061561552 14104123123104