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238314413832 = 233112931127797
BaseRepresentation
bin1101110111110010100…
…1010101111100001000
3211210010112121120110120
43131330221111330020
512401031442220312
6301251412543240
723134440044265
oct3357451257410
9753115546416
10238314413832
1192083301420
123a22b021b20
131961c100a71
14b76a87a26c
1562ebea328c
hex377ca55f08

238314413832 has 64 divisors (see below), whose sum is σ = 672360436800. Its totient is φ = 69726263040.

The previous prime is 238314413791. The next prime is 238314413863.

238314413832 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15556243 + ... + 15571554.

It is an arithmetic number, because the mean of its divisors is an integer number (10505631825).

Almost surely, 2238314413832 is an apocalyptic number.

238314413832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

238314413832 is an abundant number, since it is smaller than the sum of its proper divisors (434046022968).

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

238314413832 is a wasteful number, since it uses less digits than its factorization.

238314413832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31127846 (or 31127842 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 238314413832 in words is "two hundred thirty-eight billion, three hundred fourteen million, four hundred thirteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 31127797 62255594 93383391 124511188 186766782 249022376 342405767 373533564 684811534 747067128 902706113 1027217301 1369623068 1805412226 2054434602 2708118339 2739246136 3610824452 4108869204 5416236678 7221648904 8217738408 9929767243 10832473356 19859534486 21664946712 29789301729 39719068972 59578603458 79438137944 119157206916 238314413832