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40131713262168 = 233211142335608823
BaseRepresentation
bin10010001111111111001001…
…00000110110001001011000
312021002112222002122222210200
421013333210200312021120
520230004222043342133
6221204130552342200
711311264160230353
oct1107774440661130
9167075862588720
1040131713262168
11118728449a5450
1246019656a4960
1319515343b0198
149ca55731d29a
15498db81a3913
hex247fe4836258

40131713262168 has 96 divisors (see below), whose sum is σ = 118654298979840. Its totient is φ = 12152578772160.

The previous prime is 40131713262163. The next prime is 40131713262233. The reversal of 40131713262168 is 86126231713104.

40131713262168 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 1 + 7 + 13 + 2 + 621 + 6 + 8 = 666.

It is a super-2 number, since 2×401317132621682 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131713262163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16677396 + ... + 18931427.

It is an arithmetic number, because the mean of its divisors is an integer number (1235982281040).

Almost surely, 240131713262168 is an apocalyptic number.

It is an amenable number.

40131713262168 is an abundant number, since it is smaller than the sum of its proper divisors (78522585717672).

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

40131713262168 is a wasteful number, since it uses less digits than its factorization.

40131713262168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35610269 (or 35610262 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 40131713262168 in words is "forty trillion, one hundred thirty-one billion, seven hundred thirteen million, two hundred sixty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1423 2846 4269 5692 8538 11384 12807 15653 17076 25614 31306 34152 46959 51228 62612 93918 102456 125224 140877 187836 281754 375672 563508 1127016 35608823 71217646 106826469 142435292 213652938 284870584 320479407 391697053 427305876 640958814 783394106 854611752 1175091159 1281917628 1566788212 2350182318 2563835256 3133576424 3525273477 4700364636 7050546954 9400729272 14101093908 28202187816 50671355129 101342710258 152014065387 202685420516 304028130774 405370841032 456042196161 557384906419 608056261548 912084392322 1114769812838 1216112523096 1672154719257 1824168784644 2229539625676 3344309438514 3648337569288 4459079251352 5016464157771 6688618877028 10032928315542 13377237754056 20065856631084 40131713262168