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114803264232 = 23321679719833
BaseRepresentation
bin110101011101011001…
…1101100101011101000
3101222022211121002012100
41222322303230223220
53340104113423412
6124423452213400
711202634434156
oct1527263545350
9358284532170
10114803264232
11447624a4678
121a2bb46a260
13aa976751a7
1457b10b23d6
152ebdb3bedc
hex1abacecae8

114803264232 has 96 divisors (see below), whose sum is σ = 313141308480. Its totient is φ = 37995567360.

The previous prime is 114803264231. The next prime is 114803264243. The reversal of 114803264232 is 232462308411.

114803264232 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 0 + 3 + 2 + 642 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114803264231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11670388 + ... + 11680220.

It is an arithmetic number, because the mean of its divisors is an integer number (3261888630).

Almost surely, 2114803264232 is an apocalyptic number.

114803264232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114803264232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156570654240).

114803264232 is an abundant number, since it is smaller than the sum of its proper divisors (198338044248).

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

114803264232 is a wasteful number, since it uses less digits than its factorization.

114803264232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10983 (or 10976 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 114803264232 in words is "one hundred fourteen billion, eight hundred three million, two hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 971 1002 1336 1503 1942 2004 2913 3006 3884 4008 5826 6012 7768 8739 9833 11652 12024 17478 19666 23304 29499 34956 39332 58998 69912 78664 88497 117996 162157 176994 235992 324314 353988 486471 648628 707976 972942 1297256 1459413 1642111 1945884 2918826 3284222 3891768 4926333 5837652 6568444 9547843 9852666 11675304 13136888 14778999 19095686 19705332 28643529 29557998 38191372 39410664 57287058 59115996 76382744 85930587 114574116 118231992 171861174 229148232 343722348 687444696 1594489781 3188979562 4783469343 6377959124 9566938686 12755918248 14350408029 19133877372 28700816058 38267754744 57401632116 114803264232