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232314323413232 = 24191993840160067
BaseRepresentation
bin110100110100100111100100…
…101110010010100011110000
31010110120000212122010110220002
4310310213210232102203300
5220422214213243210412
62142031420555205132
766635104334315624
oct6464474456224360
91113500778113802
10232314323413232
1168027a51165885
12220800a4a467a8
139c821ba3a7928
144152104dc5184
151bcd066c1ddc2
hexd349e4b928f0

232314323413232 has 40 divisors (see below), whose sum is σ = 476179848432000. Its totient is φ = 109490643801792.

The previous prime is 232314323413187. The next prime is 232314323413259.

232314323413232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1920019538 + ... + 1920140529.

It is an arithmetic number, because the mean of its divisors is an integer number (11904496210800).

Almost surely, 2232314323413232 is an apocalyptic number.

It is an amenable number.

232314323413232 is an abundant number, since it is smaller than the sum of its proper divisors (243865525018768).

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

232314323413232 is a wasteful number, since it uses less digits than its factorization.

232314323413232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840160293 (or 3840160287 counting only the distinct ones).

The product of its digits is 373248, while the sum is 38.

The spelling of 232314323413232 in words is "two hundred thirty-two trillion, three hundred fourteen billion, three hundred twenty-three million, four hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 199 304 398 796 1592 3184 3781 7562 15124 30248 60496 3840160067 7680320134 15360640268 30721280536 61442561072 72963041273 145926082546 291852165092 583704330184 764191853333 1167408660368 1528383706666 3056767413332 6113534826664 12227069653328 14519645213327 29039290426654 58078580853308 116157161706616 232314323413232