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31312414240 = 2551743267719
BaseRepresentation
bin11101001010010111…
…011000011000100000
32222211012211110020221
4131022113120120200
51003111434223430
622215033412424
72155644062302
oct351227303040
988735743227
1031312414240
11123090502a8
12609a56a114
132c50258783
14173087b972
15c33e6c57a
hex74a5d8620

31312414240 has 96 divisors (see below), whose sum is σ = 80148942720. Its totient is φ = 11514015744.

The previous prime is 31312414229. The next prime is 31312414297. The reversal of 31312414240 is 4241421313.

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, 16900 + ... + 250819.

It is an arithmetic number, because the mean of its divisors is an integer number (834884820).

Almost surely, 231312414240 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 31312414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40074471360).

31312414240 is an abundant number, since it is smaller than the sum of its proper divisors (48836528480).

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

31312414240 is a wasteful number, since it uses less digits than its factorization.

31312414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267794 (or 267786 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 31312414240 its reverse (4241421313), we get a palindrome (35553835553).

The spelling of 31312414240 in words is "thirty-one billion, three hundred twelve million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 43 68 80 85 86 136 160 170 172 215 272 340 344 430 544 680 688 731 860 1360 1376 1462 1720 2720 2924 3440 3655 5848 6880 7310 11696 14620 23392 29240 58480 116960 267719 535438 1070876 1338595 2141752 2677190 4283504 4551223 5354380 8567008 9102446 10708760 11511917 18204892 21417520 22756115 23023834 36409784 42835040 45512230 46047668 57559585 72819568 91024460 92095336 115119170 145639136 182048920 184190672 195702589 230238340 364097840 368381344 391405178 460476680 728195680 782810356 920953360 978512945 1565620712 1841906720 1957025890 3131241424 3914051780 6262482848 7828103560 15656207120 31312414240