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232445981313 = 3472134505029
BaseRepresentation
bin1101100001111011011…
…1000011001010000001
3211012222120010022110000
43120132313003022001
512302022132400223
6254441220030213
722536141145500
oct3303667031201
9735876108400
10232445981313
118a641773197
1239071832369
1318bc537c0a0
14b371318837
1560a6ba8543
hex361edc3281

232445981313 has 60 divisors (see below), whose sum is σ = 434996686740. Its totient is φ = 122608842048.

The previous prime is 232445981293. The next prime is 232445981347. The reversal of 232445981313 is 313189544232.

It is a happy number.

232445981313 is a `hidden beast` number, since 2 + 3 + 2 + 44 + 598 + 1 + 3 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83838044304 + 148607937009 = 289548^2 + 385497^2 .

It is not a de Polignac number, because 232445981313 - 25 = 232445981281 is a prime.

It is a super-2 number, since 2×2324459813132 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232445981393) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2200918 + ... + 2304111.

It is an arithmetic number, because the mean of its divisors is an integer number (7249944779).

Almost surely, 2232445981313 is an apocalyptic number.

It is an amenable number.

232445981313 is a deficient number, since it is larger than the sum of its proper divisors (202550705427).

232445981313 is a wasteful number, since it uses less digits than its factorization.

232445981313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505068 (or 4505052 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 232445981313 in words is "two hundred thirty-two billion, four hundred forty-five million, nine hundred eighty-one thousand, three hundred thirteen".

Divisors: 1 3 7 9 13 21 27 39 49 63 81 91 117 147 189 273 351 441 567 637 819 1053 1323 1911 2457 3969 5733 7371 17199 51597 4505029 13515087 31535203 40545261 58565377 94605609 121635783 175696131 220746421 283816827 364907349 409957639 527088393 662239263 851450481 1229872917 1581265179 1986717789 2554351443 2869703473 3689618751 4743795537 5960153367 8609110419 11068856253 17880460101 25827331257 33206568759 77481993771 232445981313