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31406296688 = 24132112512851
BaseRepresentation
bin11101001111111101…
…100000111001110000
310000001202111011202122
4131033331200321300
51003310002443223
622232225533412
72161164055124
oct351775407160
9100052434678
1031406296688
11123570435a8
126105aa4268
132c66839910
14173d119584
15c3c3145c8
hex74ff60e70

31406296688 has 80 divisors (see below), whose sum is σ = 66126517632. Its totient is φ = 14364000000.

The previous prime is 31406296583. The next prime is 31406296693. The reversal of 31406296688 is 88669260413.

It is a super-3 number, since 3×314062966883 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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, 11014463 + ... + 11017313.

Almost surely, 231406296688 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 31406296688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33063258816).

31406296688 is an abundant number, since it is smaller than the sum of its proper divisors (34720220944).

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

31406296688 is a wasteful number, since it uses less digits than its factorization.

31406296688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 53.

The spelling of 31406296688 in words is "thirty-one billion, four hundred six million, two hundred ninety-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 211 251 422 502 844 1004 1688 2008 2743 2851 3263 3376 4016 5486 5702 6526 10972 11404 13052 21944 22808 26104 37063 43888 45616 52208 52961 74126 105922 148252 211844 296504 423688 593008 601561 688493 715601 847376 1203122 1376986 1431202 2406244 2753972 2862404 4812488 5507944 5724808 7820293 9302813 9624976 11015888 11449616 15640586 18605626 31281172 37211252 62562344 74422504 125124688 148845008 150991811 301983622 603967244 1207934488 1962893543 2415868976 3925787086 7851574172 15703148344 31406296688