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232041313104 = 24311083436181
BaseRepresentation
bin1101100000011010111…
…1010111001101010000
3211011221100200001000120
43120012233113031100
512300210034004404
6254333122350240
722523125422006
oct3300657271520
9734840601016
10232041313104
118a4542a9a57
1238b7a1bb380
1318b5c594a43
14b33369aa76
1560813c19d9
hex3606bd7350

232041313104 has 40 divisors (see below), whose sum is σ = 599495519712. Its totient is φ = 77339948160.

The previous prime is 232041313103. The next prime is 232041313123. The reversal of 232041313104 is 401313140232.

It is a happy number.

232041313104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2320413131042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232041313103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313894 + ... + 750074.

Almost surely, 2232041313104 is an apocalyptic number.

232041313104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232041313104 is an abundant number, since it is smaller than the sum of its proper divisors (367454206608).

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

232041313104 is a wasteful number, since it uses less digits than its factorization.

232041313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447275 (or 447269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 232041313104 its reverse (401313140232), we get a palindrome (633354453336).

The spelling of 232041313104 in words is "two hundred thirty-two billion, forty-one million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 11083 22166 33249 44332 66498 88664 132996 177328 265992 436181 531984 872362 1308543 1744724 2617086 3489448 5234172 6978896 10468344 20936688 4834194023 9668388046 14502582069 19336776092 29005164138 38673552184 58010328276 77347104368 116020656552 232041313104