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145520431392 = 25371712738133
BaseRepresentation
bin1000011110000110110…
…0011001000100100000
3111220121120100211222010
42013201230121010200
54341011212301032
6150503503512520
713341063154320
oct2074154310440
9456546324863
10145520431392
1156795542a36
12242525b8740
13109514aa54b
147086883280
153bba6c9ccc
hex21e1b19120

145520431392 has 96 divisors (see below), whose sum is σ = 462241406592. Its totient is φ = 39131541504.

The previous prime is 145520431321. The next prime is 145520431393. The reversal of 145520431392 is 293134025541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 145520431392.

It is not an unprimeable number, because it can be changed into a prime (145520431393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6357643 + ... + 6380490.

It is an arithmetic number, because the mean of its divisors is an integer number (4815014652).

Almost surely, 2145520431392 is an apocalyptic number.

145520431392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145520431392 is an abundant number, since it is smaller than the sum of its proper divisors (316720975200).

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

145520431392 is a wasteful number, since it uses less digits than its factorization.

145520431392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12738170 (or 12738162 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 145520431392 in words is "one hundred forty-five billion, five hundred twenty million, four hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 12738133 25476266 38214399 50952532 76428798 89166931 101905064 152857596 178333862 203810128 216548261 267500793 305715192 356667724 407620256 433096522 535001586 611430384 649644783 713335448 866193044 1070003172 1222860768 1299289566 1426670896 1515837827 1732386088 2140006344 2598579132 2853341792 3031675654 3464772176 4280012688 4547513481 5197158264 6063351308 6929544352 8560025376 9095026962 10394316528 12126702616 18190053924 20788633056 24253405232 36380107848 48506810464 72760215696 145520431392