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232138113417 = 32719199974539
BaseRepresentation
bin1101100000110010000…
…0101000000110001001
3211012012002211000002100
43120030200220012021
512300404324112132
6254350501224013
722525412256450
oct3301440500611
9735162730070
10232138113417
118a4a3a05511
1238ba6702009
1318b76658032
14b342497b97
156089b4337c
hex360c828189

232138113417 has 48 divisors (see below), whose sum is σ = 405408640000. Its totient is φ = 125037123552.

The previous prime is 232138113407. The next prime is 232138113433. The reversal of 232138113417 is 714311831232.

232138113417 is a `hidden beast` number, since 23 + 213 + 8 + 1 + 1 + 3 + 417 = 666.

It is not a de Polignac number, because 232138113417 - 212 = 232138109321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232138113407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249067 + ... + 725472.

Almost surely, 2232138113417 is an apocalyptic number.

It is an amenable number.

232138113417 is a deficient number, since it is larger than the sum of its proper divisors (173270526583).

232138113417 is a wasteful number, since it uses less digits than its factorization.

232138113417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974770 (or 974767 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

Adding to 232138113417 its reverse (714311831232), we get a palindrome (946449944649).

The spelling of 232138113417 in words is "two hundred thirty-two billion, one hundred thirty-eight million, one hundred thirteen thousand, four hundred seventeen".

Divisors: 1 3 7 9 19 21 57 63 133 171 199 399 597 1197 1393 1791 3781 4179 11343 12537 26467 34029 79401 238203 974539 2923617 6821773 8770851 18516241 20465319 55548723 61395957 129613687 166646169 193933261 388841061 581799783 1166523183 1357532827 1745399349 3684731959 4072598481 11054195877 12217795443 25793123713 33162587631 77379371139 232138113417