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31071974544 = 243613204917
BaseRepresentation
bin11100111100000010…
…001011010010010000
32222012110101212000000
4130330002023102100
51002113411141134
622135124130000
72146664266032
oct347402132220
988173355000
1031071974544
11121a5357406
126031b36900
132c124b2770
14170a96dc52
15c1ccc5e99
hex73c08b490

31071974544 has 140 divisors (see below), whose sum is σ = 97205312316. Its totient is φ = 9560560896.

The previous prime is 31071974533. The next prime is 31071974567. The reversal of 31071974544 is 44547917013.

It is a happy number.

31071974544 is a `hidden beast` number, since 3 + 1 + 0 + 7 + 197 + 454 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8210534544 + 22861440000 = 90612^2 + 151200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31071974544.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 49174 + ... + 254090.

Almost surely, 231071974544 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 31071974544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48602656158).

31071974544 is an abundant number, since it is smaller than the sum of its proper divisors (66133337772).

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

31071974544 is a wasteful number, since it uses less digits than its factorization.

31071974544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204956 (or 204935 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 31071974544 in words is "thirty-one billion, seventy-one million, nine hundred seventy-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 1053 1296 1404 1458 1872 1944 2106 2808 2916 3159 3888 4212 5616 5832 6318 8424 9477 11664 12636 16848 18954 25272 37908 50544 75816 151632 204917 409834 614751 819668 1229502 1639336 1844253 2459004 2663921 3278672 3688506 4918008 5327842 5532759 7377012 7991763 9836016 10655684 11065518 14754024 15983526 16598277 21311368 22131036 23975289 29508048 31967052 33196554 42622736 44262072 47950578 49794831 63934104 66393108 71925867 88524144 95901156 99589662 127868208 132786216 143851734 149384493 191802312 199179324 215777601 265572432 287703468 298768986 383604624 398358648 431555202 575406936 597537972 647332803 796717296 863110404 1150813872 1195075944 1294665606 1726220808 1941998409 2390151888 2589331212 3452441616 3883996818 5178662424 7767993636 10357324848 15535987272 31071974544