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31424310008 = 237131719712889
BaseRepresentation
bin11101010001000010…
…001110101011111000
310000010000101100101122
4131101002032223320
51003324110410013
622234112004412
72161503141110
oct352102165370
9100100340348
1031424310008
1112366227243
12610bb30708
132c6a4a59a0
141741688040
15c3dbc1a08
hex75108eaf8

31424310008 has 128 divisors (see below), whose sum is σ = 77179132800. Its totient is φ = 11640029184.

The previous prime is 31424309971. The next prime is 31424310011. The reversal of 31424310008 is 80001342413.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2431628 + ... + 2444516.

It is an arithmetic number, because the mean of its divisors is an integer number (602961975).

Almost surely, 231424310008 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 31424310008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38589566400).

31424310008 is an abundant number, since it is smaller than the sum of its proper divisors (45754822792).

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

31424310008 is a wasteful number, since it uses less digits than its factorization.

31424310008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13129 (or 13125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 31424310008 in words is "thirty-one billion, four hundred twenty-four million, three hundred ten thousand, eight".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 197 221 238 364 394 442 476 728 788 884 952 1379 1547 1576 1768 2561 2758 3094 3349 5122 5516 6188 6698 10244 11032 12376 12889 13396 17927 20488 23443 25778 26792 35854 43537 46886 51556 71708 87074 90223 93772 103112 143416 167557 174148 180446 187544 219113 304759 335114 348296 360892 438226 609518 670228 721784 876452 1172899 1219036 1340456 1533791 1752904 2345798 2438072 2539133 2848469 3067582 4691596 5078266 5696938 6135164 9383192 10156532 11393876 12270328 17773931 19939283 20313064 22787752 33008729 35547862 39878566 43165261 66017458 71095724 79757132 86330522 132034916 142191448 159514264 172661044 231061103 264069832 302156827 345322088 462122206 561148393 604313654 924244412 1122296786 1208627308 1848488824 2244593572 2417254616 3928038751 4489187144 7856077502 15712155004 31424310008