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41332000023314 = 27111361338448437
BaseRepresentation
bin10010110010111010110110…
…01011011110001100010010
312102100022010010222002010022
421121131123023132030102
520404140414001221224
6223523354135303442
711464065330323630
oct1131353313361422
9172308103862108
1041332000023314
1112195891543420
12477650321ab82
131a0a78b20bb30
14a2c69d972350
154ba21813565e
hex25975b2de312

41332000023314 has 64 divisors (see below), whose sum is σ = 84606694324992. Its totient is φ = 14620972435200.

The previous prime is 41332000023313. The next prime is 41332000023319.

41332000023314 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (41332000023311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169102097 + ... + 169346340.

It is an arithmetic number, because the mean of its divisors is an integer number (1321979598828).

Almost surely, 241332000023314 is an apocalyptic number.

41332000023314 is an abundant number, since it is smaller than the sum of its proper divisors (43274694301678).

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

41332000023314 is a wasteful number, since it uses less digits than its factorization.

41332000023314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338448531.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 413320000 and 23314, that added together give a palindrome (413343314).

The spelling of 41332000023314 in words is "forty-one trillion, three hundred thirty-two billion, twenty-three thousand, three hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 61 77 91 122 143 154 182 286 427 671 793 854 1001 1342 1586 2002 4697 5551 8723 9394 11102 17446 61061 122122 338448437 676896874 2369139059 3722932807 4399829681 4738278118 7445865614 8799659362 20645354657 26060529649 30798807767 41290709314 48398126491 52121059298 61597615534 96796252982 144517482599 227098901227 268389610541 289034965198 338786885437 454197802454 536779221082 677573770874 1589692308589 1878727273787 2952285715951 3179384617178 3757454547574 5904571431902 20666000011657 41332000023314