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42317239824 = 243211310392503
BaseRepresentation
bin100111011010010011…
…011101011000010000
311001020011100111221200
4213122103131120100
51143131203133244
631235033151200
73025442414016
oct473223353020
9131204314850
1042317239824
1116a45a84682
12824bb5b500
133cb51826a2
1420962468b6
15117a161669
hex9da4dd610

42317239824 has 120 divisors (see below), whose sum is σ = 119640318720. Its totient is φ = 13961880576.

The previous prime is 42317239813. The next prime is 42317239837. The reversal of 42317239824 is 42893271324.

42317239824 is a `hidden beast` number, since 4 + 231 + 7 + 2 + 398 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42317239824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16905357 + ... + 16907859.

It is an arithmetic number, because the mean of its divisors is an integer number (997002656).

Almost surely, 242317239824 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 42317239824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59820159360).

42317239824 is an abundant number, since it is smaller than the sum of its proper divisors (77323078896).

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

42317239824 is a wasteful number, since it uses less digits than its factorization.

42317239824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3660 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 42317239824 in words is "forty-two billion, three hundred seventeen million, two hundred thirty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1039 1356 1808 2034 2078 2503 2712 3117 4068 4156 5006 5424 6234 7509 8136 8312 9351 10012 12468 15018 16272 16624 18702 20024 22527 24936 30036 37404 40048 45054 49872 60072 74808 90108 117407 120144 149616 180216 234814 282839 352221 360432 469628 565678 704442 848517 939256 1056663 1131356 1408884 1697034 1878512 2113326 2262712 2545551 2600617 2817768 3394068 4226652 4525424 5091102 5201234 5635536 6788136 7801851 8453304 10182204 10402468 13576272 15603702 16906608 20364408 20804936 23405553 31207404 40728816 41609872 46811106 62414808 93622212 124829616 187244424 293869721 374488848 587739442 881609163 1175478884 1763218326 2350957768 2644827489 3526436652 4701915536 5289654978 7052873304 10579309956 14105746608 21158619912 42317239824