Search a number
-
+
31014250392 = 23319791276779
BaseRepresentation
bin11100111000100101…
…111110011110011000
32222001102210011100110
4130320211332132120
51002004122003032
622125303004320
72145363531036
oct347045763630
988042704313
1031014250392
11121758103a4
1260167396a0
132c03551668
141703025556
15c17bc27cc
hex73897e798

31014250392 has 128 divisors (see below), whose sum is σ = 83312640000. Its totient is φ = 9592442496.

The previous prime is 31014250331. The next prime is 31014250417. The reversal of 31014250392 is 29305241013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4571659 + ... + 4578437.

It is an arithmetic number, because the mean of its divisors is an integer number (650880000).

Almost surely, 231014250392 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 31014250392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41656320000).

31014250392 is an abundant number, since it is smaller than the sum of its proper divisors (52298389608).

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

31014250392 is a wasteful number, since it uses less digits than its factorization.

31014250392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 31014250392 in words is "thirty-one billion, fourteen million, two hundred fifty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 79 114 127 152 158 228 237 254 316 381 456 474 508 632 762 948 1016 1501 1524 1896 2413 3002 3048 4503 4826 6004 6779 7239 9006 9652 10033 12008 13558 14478 18012 19304 20066 20337 27116 28956 30099 36024 40132 40674 54232 57912 60198 80264 81348 120396 128801 162696 190627 240792 257602 381254 386403 515204 535541 571881 762508 772806 860933 1030408 1071082 1143762 1525016 1545612 1606623 1721866 2142164 2287524 2582799 3091224 3213246 3443732 4284328 4575048 5165598 6426492 6887464 10175279 10331196 12852984 16357727 20350558 20662392 30525837 32715454 40701116 49073181 61051674 65430908 68013707 81402232 98146362 122103348 130861816 136027414 196292724 204041121 244206696 272054828 392585448 408082242 544109656 816164484 1292260433 1632328968 2584520866 3876781299 5169041732 7753562598 10338083464 15507125196 31014250392