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31406442516 = 223213164310357
BaseRepresentation
bin11101001111111110…
…000100100000010100
310000001202202120210200
4131033332010200110
51003310022130031
622232233020500
72161165233231
oct351776044024
9100052676720
1031406442516
1112357133119
126105b54730
132c6688b0c7
14173d156788
15c3c3428e6
hex74ff84814

31406442516 has 72 divisors (see below), whose sum is σ = 80126670624. Its totient is φ = 10371741120.

The previous prime is 31406442503. The next prime is 31406442547. The reversal of 31406442516 is 61524460413.

31406442516 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 644 + 2 + 5 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3027210 + ... + 3037566.

Almost surely, 231406442516 is an apocalyptic number.

31406442516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31406442516 is an abundant number, since it is smaller than the sum of its proper divisors (48720228108).

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

31406442516 is a wasteful number, since it uses less digits than its factorization.

31406442516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11141 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 31406442516 in words is "thirty-one billion, four hundred six million, four hundred forty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 643 786 1179 1286 1572 1929 2358 2572 3858 4716 5787 7716 10357 11574 20714 23148 31071 41428 62142 84233 93213 124284 168466 186426 252699 336932 372852 505398 758097 1010796 1356767 1516194 2713534 3032388 4070301 5427068 6659551 8140602 12210903 13319102 16281204 19978653 24421806 26638204 39957306 48843612 59935959 79914612 119871918 239743836 872401181 1744802362 2617203543 3489604724 5234407086 7851610629 10468814172 15703221258 31406442516