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12344512524044 = 221719232851145709
BaseRepresentation
bin1011001110100010111001…
…0010001010111100001100
31121201010100022011122022012
42303220232102022330030
53104223030201232134
642130554001040352
72412601346110421
oct263505622127414
947633308148265
1012344512524044
113a2a307554258
1214745483260b8
136b710c440bcc
14309698737d48
1516619832a6ce
hexb3a2e48af0c

12344512524044 has 96 divisors (see below), whose sum is σ = 25133366361600. Its totient is φ = 5262273561600.

The previous prime is 12344512524023. The next prime is 12344512524059. The reversal of 12344512524044 is 44042521544321.

It is a super-2 number, since 2×123445125240442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12344512523992 and 12344512524010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84647462 + ... + 84793170.

It is an arithmetic number, because the mean of its divisors is an integer number (261805899600).

Almost surely, 212344512524044 is an apocalyptic number.

It is an amenable number.

12344512524044 is an abundant number, since it is smaller than the sum of its proper divisors (12788853837556).

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

12344512524044 is a wasteful number, since it uses less digits than its factorization.

12344512524044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148623 (or 148621 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 41.

The spelling of 12344512524044 in words is "twelve trillion, three hundred forty-four billion, five hundred twelve million, five hundred twenty-four thousand, forty-four".

Divisors: 1 2 4 17 19 23 34 38 46 68 76 92 323 391 437 646 782 874 1292 1564 1748 2851 5702 7429 11404 14858 29716 48467 54169 65573 96934 108338 131146 145709 193868 216676 262292 291418 582836 920873 1114741 1245887 1841746 2229482 2477053 2491774 2768471 3351307 3683492 4458964 4954106 4983548 5536942 6702614 9908212 11073884 13405228 21180079 42360158 47064007 56972219 63674833 84720316 94128014 113944438 127349666 188256028 227888876 254699332 415416359 830832718 1082472161 1661665436 2164944322 4329888644 7062078103 7892910821 9554576257 14124156206 15785821642 19109152514 28248312412 31571643284 38218305028 134179483957 162427796369 181536948883 268358967914 324855592738 363073897766 536717935828 649711185476 726147795532 3086128131011 6172256262022 12344512524044