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114831531864 = 233271713402373
BaseRepresentation
bin110101011110001111…
…1100001111101011000
3101222101210210020002200
41222330133201331120
53340133333004424
6124430342130200
711203426626120
oct1527437417530
9358353706080
10114831531864
1144777451555
121a308a20960
13aaa04917ba
1457b4b4dc80
152ec13728c9
hex1abc7e1f58

114831531864 has 96 divisors (see below), whose sum is σ = 376338661920. Its totient is φ = 30879065088.

The previous prime is 114831531839. The next prime is 114831531907. The reversal of 114831531864 is 468135138411.

114831531864 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 31 + 531 + 86 + 4 = 666.

It is a congruent number.

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, 6692619 + ... + 6709754.

It is an arithmetic number, because the mean of its divisors is an integer number (3920194395).

Almost surely, 2114831531864 is an apocalyptic number.

114831531864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114831531864 is an abundant number, since it is smaller than the sum of its proper divisors (261507130056).

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

114831531864 is a wasteful number, since it uses less digits than its factorization.

114831531864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13402409 (or 13402402 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 114831531864 in words is "one hundred fourteen billion, eight hundred thirty-one million, five hundred thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 13402373 26804746 40207119 53609492 80414238 93816611 107218984 120621357 160828476 187633222 227840341 241242714 281449833 321656952 375266444 455680682 482485428 562899666 683521023 750532888 844349499 911361364 964970856 1125799332 1367042046 1594882387 1688698998 1822722728 2050563069 2251598664 2734084092 3189764774 3377397996 4101126138 4784647161 5468168184 6379529548 6754795992 8202252276 9569294322 12759059096 14353941483 16404504552 19138588644 28707882966 38277177288 57415765932 114831531864