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413134304344434 = 232432693116380249
BaseRepresentation
bin101110111101111100101001…
…1011101000111100101110010
32000011210020212000002020120100
41131323321103131013211302
5413122243023403010214
64022355140155453230
7153006653123540361
oct13573712335074562
92004706760066510
10413134304344434
1110a701302460172
123a404242757216
131496a522a8b75a
147403b426737d8
1532b688846a309
hex177be53747972

413134304344434 has 96 divisors (see below), whose sum is σ = 922302398160000. Its totient is φ = 133577892967680.

The previous prime is 413134304344429. The next prime is 413134304344457. The reversal of 413134304344434 is 434443403431314.

413134304344434 is a `hidden beast` number, since 4 + 1 + 3 + 134 + 3 + 0 + 43 + 44 + 434 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 413134304344434.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61561942 + ... + 67942190.

It is an arithmetic number, because the mean of its divisors is an integer number (9607316647500).

Almost surely, 2413134304344434 is an apocalyptic number.

413134304344434 is an abundant number, since it is smaller than the sum of its proper divisors (509168093815566).

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

413134304344434 is a wasteful number, since it uses less digits than its factorization.

413134304344434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380880 (or 6380877 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 45.

Adding to 413134304344434 its reverse (434443403431314), we get a palindrome (847577707775748).

The spelling of 413134304344434 in words is "four hundred thirteen trillion, one hundred thirty-four billion, three hundred four million, three hundred forty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 43 86 129 258 269 311 387 538 622 774 807 933 1614 1866 2421 2799 4842 5598 11567 13373 23134 26746 34701 40119 69402 80238 83659 104103 120357 167318 208206 240714 250977 501954 752931 1505862 3597337 6380249 7194674 10792011 12760498 19140747 21584022 32376033 38281494 57422241 64752066 114844482 274350707 548701414 823052121 1646104242 1716286981 1984257439 2469156363 3432573962 3968514878 4938312726 5148860943 5952772317 10297721886 11905544634 15446582829 17858316951 30893165658 35716633902 73800340183 85323069877 147600680366 170646139754 221401020549 255969209631 442802041098 511938419262 533765251091 664203061647 767907628893 1067530502182 1328406123294 1535815257786 1601295753273 3202591506546 4803887259819 9607774519638 22951905796913 45903811593826 68855717390739 137711434781478 206567152172217 413134304344434