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114486016656 = 243111719671299
BaseRepresentation
bin110101010011111100…
…1011111101010010000
3101221111201122020100010
41222213321133222100
53333431410013111
6124332200354520
711162033041134
oct1524771375220
9357451566303
10114486016656
114460a40a8a0
121a231175a40
13aa46a18a2b
145780ccd3c4
152ea0d72aa6
hex1aa7e5fa90

114486016656 has 160 divisors (see below), whose sum is σ = 359601984000. Its totient is φ = 30933411840.

The previous prime is 114486016621. The next prime is 114486016669. The reversal of 114486016656 is 656610684411.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 165106 + ... + 506193.

It is an arithmetic number, because the mean of its divisors is an integer number (2247512400).

Almost surely, 2114486016656 is an apocalyptic number.

114486016656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114486016656 is an abundant number, since it is smaller than the sum of its proper divisors (245115967344).

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

114486016656 is a wasteful number, since it uses less digits than its factorization.

114486016656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671357 (or 671351 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 114486016656 in words is "one hundred fourteen billion, four hundred eighty-six million, sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 19 22 24 33 34 38 44 48 51 57 66 68 76 88 102 114 132 136 152 176 187 204 209 228 264 272 304 323 374 408 418 456 528 561 627 646 748 816 836 912 969 1122 1254 1292 1496 1672 1938 2244 2508 2584 2992 3344 3553 3876 4488 5016 5168 7106 7752 8976 10032 10659 14212 15504 21318 28424 42636 56848 85272 170544 671299 1342598 2013897 2685196 4027794 5370392 7384289 8055588 10740784 11412083 12754681 14768578 16111176 22152867 22824166 25509362 29537156 32222352 34236249 38264043 44305734 45648332 51018724 59074312 68472498 76528086 88611468 91296664 102037448 118148624 125532913 136944996 140301491 153056172 177222936 182593328 204074896 216829577 251065826 273889992 280602982 306112344 354445872 376598739 420904473 433659154 502131652 547779984 561205964 612224688 650488731 753197478 841808946 867318308 1004263304 1122411928 1300977462 1506394956 1683617892 1734636616 2008526608 2244823856 2385125347 2601954924 3012789912 3367235784 3469273232 4770250694 5203909848 6025579824 6734471568 7155376041 9540501388 10407819696 14310752082 19081002776 28621504164 38162005552 57243008328 114486016656