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144440675856 = 24325393185993
BaseRepresentation
bin1000011010000101010…
…1011100111000010000
3111210211022121120211100
42012201111130320100
54331303303111411
6150204412544400
713302242326101
oct2064125347020
9453738546740
10144440675856
1156290aa5694
1223bb0a82100
131080b897349
146dc32d43a8
153b559e2456
hex21a155ce10

144440675856 has 60 divisors (see below), whose sum is σ = 404310409308. Its totient is φ = 48137705472.

The previous prime is 144440675851. The next prime is 144440675857. The reversal of 144440675856 is 658576044441.

144440675856 is a `hidden beast` number, since 1 + 44 + 440 + 67 + 58 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136781625600 + 7659050256 = 369840^2 + 87516^2 .

It is a super-2 number, since 2×1444406758562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144440675851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 683596 + ... + 869588.

Almost surely, 2144440675856 is an apocalyptic number.

144440675856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144440675856 is an abundant number, since it is smaller than the sum of its proper divisors (259869733452).

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

144440675856 is a wasteful number, since it uses less digits than its factorization.

144440675856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191400 (or 191391 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 144440675856 in words is "one hundred forty-four billion, four hundred forty million, six hundred seventy-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 5393 10786 16179 21572 32358 43144 48537 64716 86288 97074 129432 185993 194148 258864 371986 388296 557979 743972 776592 1115958 1487944 1673937 2231916 2975888 3347874 4463832 6695748 8927664 13391496 26782992 1003060249 2006120498 3009180747 4012240996 6018361494 8024481992 9027542241 12036722988 16048963984 18055084482 24073445976 36110168964 48146891952 72220337928 144440675856