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31402165914 = 23373110632521
BaseRepresentation
bin11101001111101101…
…110000011010011010
310000001110201022102000
4131033231300122122
51003302423302124
622232001221430
72161114002060
oct351755603232
9100043638360
1031402165914
1112354782039
126104631876
132c65a21682
14173c762030
15c3bc9a6c9
hex74fb7069a

31402165914 has 128 divisors (see below), whose sum is σ = 82434293760. Its totient is φ = 8671017600.

The previous prime is 31402165871. The next prime is 31402165931. The reversal of 31402165914 is 41956120413.

It is a happy number.

31402165914 is a `hidden beast` number, since 3 + 1 + 40 + 21 + 6 + 591 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12454974 + ... + 12457494.

It is an arithmetic number, because the mean of its divisors is an integer number (644017920).

Almost surely, 231402165914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31402165914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41217146880).

31402165914 is an abundant number, since it is smaller than the sum of its proper divisors (51032127846).

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

31402165914 is a wasteful number, since it uses less digits than its factorization.

31402165914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 31402165914 in words is "thirty-one billion, four hundred two million, one hundred sixty-five thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1063 1302 1674 1953 2126 2521 3189 3906 5042 5859 6378 7441 7563 9567 11718 14882 15126 17647 19134 22323 22689 28701 32953 35294 44646 45378 52941 57402 65906 66969 68067 78151 98859 105882 133938 136134 156302 158823 197718 200907 230671 234453 296577 317646 401814 461342 468906 476469 547057 593154 692013 703359 889731 952938 1094114 1384026 1406718 1641171 1779462 2076039 2110077 2679823 3282342 4152078 4220154 4923513 5359646 6228117 8039469 9847026 12456234 14770539 16078938 18758761 24118407 29541078 37517522 48236814 56276283 72355221 83074513 112552566 144710442 166149026 168828849 249223539 337657698 498447078 506486547 581521591 747670617 1012973094 1163043182 1495341234 1744564773 2243011851 3489129546 4486023702 5233694319 10467388638 15701082957 31402165914