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42313003392 = 2731122744129
BaseRepresentation
bin100111011010000011…
…010011000110000000
311001012212101021122210
4213122003103012000
51143124112102032
631234402302120
73025361410632
oct473203230600
9131185337583
1042313003392
1116a436507a0
12824a657940
133cb432b31a
142095862a52
151179ac62cc
hex9da0d3180

42313003392 has 128 divisors (see below), whose sum is σ = 123154473600. Its totient is φ = 12765347840.

The previous prime is 42313003367. The next prime is 42313003399. The reversal of 42313003392 is 29330031324.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42313003399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936784 + ... + 980912.

It is an arithmetic number, because the mean of its divisors is an integer number (962144325).

Almost surely, 242313003392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42313003392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61577236800).

42313003392 is an abundant number, since it is smaller than the sum of its proper divisors (80841470208).

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

42313003392 is a wasteful number, since it uses less digits than its factorization.

42313003392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44384 (or 44372 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The spelling of 42313003392 in words is "forty-two billion, three hundred thirteen million, three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 227 264 352 384 454 528 681 704 908 1056 1362 1408 1816 2112 2497 2724 3632 4224 4994 5448 7264 7491 9988 10896 14528 14982 19976 21792 29056 29964 39952 43584 44129 59928 79904 87168 88258 119856 132387 159808 176516 239712 264774 319616 353032 479424 485419 529548 706064 958848 970838 1059096 1412128 1456257 1941676 2118192 2824256 2912514 3883352 4236384 5648512 5825028 7766704 8472768 10017283 11650056 15533408 16945536 20034566 23300112 30051849 31066816 40069132 46600224 60103698 62133632 80138264 93200448 110190113 120207396 160276528 186400896 220380226 240414792 320553056 330570339 440760452 480829584 641106112 661140678 881520904 961659168 1282212224 1322281356 1763041808 1923318336 2644562712 3526083616 3846636672 5289125424 7052167232 10578250848 14104334464 21156501696 42313003392