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114646856112 = 24331151923039
BaseRepresentation
bin110101011000101111…
…1000011000110110000
3101221220221021201121000
41222301133003012300
53334244043343422
6124400144002000
711166025124625
oct1526137030660
9357827251530
10114646856112
1144692185968
121a277000300
13aa711415c9
1457983da34c
152eb0043cac
hex1ab17c31b0

114646856112 has 80 divisors (see below), whose sum is σ = 329121792000. Its totient is φ = 38210642496.

The previous prime is 114646856101. The next prime is 114646856131. The reversal of 114646856112 is 211658646411.

114646856112 is a `hidden beast` number, since 1 + 1 + 46 + 46 + 8 + 561 + 1 + 2 = 666.

It is a super-3 number, since 3×1146468561123 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4964689 + ... + 4987727.

It is an arithmetic number, because the mean of its divisors is an integer number (4114022400).

Almost surely, 2114646856112 is an apocalyptic number.

114646856112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114646856112 is an abundant number, since it is smaller than the sum of its proper divisors (214474935888).

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

114646856112 is a wasteful number, since it uses less digits than its factorization.

114646856112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34575 (or 34563 counting only the distinct ones).

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

The spelling of 114646856112 in words is "one hundred fourteen billion, six hundred forty-six million, eight hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 11519 23038 23039 34557 46076 46078 69114 69117 92152 92156 103671 138228 138234 184304 184312 207342 207351 276456 276468 311013 368624 414684 414702 552912 552936 622026 622053 829368 829404 1105872 1244052 1244106 1658736 1658808 2488104 2488212 3317616 4976208 4976424 9952848 265386241 530772482 796158723 1061544964 1592317446 2123089928 2388476169 3184634892 4246179856 4776952338 6369269784 7165428507 9553904676 12738539568 14330857014 19107809352 28661714028 38215618704 57323428056 114646856112