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13904337237904 = 24232405312
BaseRepresentation
bin1100101001010101101100…
…0101001111011110010000
31211020020112011120010101201
43022111123011033132100
53310302040313103104
645323321522040544
72633361303320401
oct312253305173620
954206464503351
1013904337237904
114480883981623
1216869064a9154
1379b233ba1289
14360d8b4699a8
15191a3c8510a4
hexca55b14f790

13904337237904 has 45 divisors (see below), whose sum is σ = 28162563137499. Its totient is φ = 6649736348640.

The previous prime is 13904337237851. The next prime is 13904337237911. The reversal of 13904337237904 is 40973273340931.

The square root of 13904337237904 is 3728852.

It is a perfect power (a square), and thus also a powerful number.

13904337237904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×139043372379043 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 343034119 + ... + 343074649.

Almost surely, 213904337237904 is an apocalyptic number.

13904337237904 is the 3728852-nd square number.

It is an amenable number.

13904337237904 is an abundant number, since it is smaller than the sum of its proper divisors (14258225899595).

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

13904337237904 is an frugal number, since it uses more digits than its factorization.

13904337237904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81116 (or 40556 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 55.

The spelling of 13904337237904 in words is "thirteen trillion, nine hundred four billion, three hundred thirty-seven million, two hundred thirty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 40531 81062 162124 324248 648496 932213 1864426 3728852 7457704 14915408 21440899 42881798 85763596 171527192 343054384 1642761961 3285523922 6571047844 13142095688 26284191376 37783525103 75567050206 151134100412 302268200824 604536401648 869021077369 1738042154738 3476084309476 6952168618952 13904337237904