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3354415434504 = 2332143141325477
BaseRepresentation
bin110000110100000010101…
…111011000101100001000
3102212200022222102210021100
4300310002233120230020
5414424320322401004
611044555220141400
7464230353513201
oct60640257305410
912780288383240
103354415434504
111083666077352
12462136b37860
131b4421106864
14b84d6d405a8
155c3c922e739
hex30d02bd8b08

3354415434504 has 48 divisors (see below), whose sum is σ = 9084966515820. Its totient is φ = 1118127231360.

The previous prime is 3354415434467. The next prime is 3354415434527. The reversal of 3354415434504 is 4054345144533.

3354415434504 is a `hidden beast` number, since 3 + 3 + 5 + 44 + 154 + 3 + 450 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2906990900100 + 447424534404 = 1704990^2 + 668898^2 .

It is a super-2 number, since 2×33544154345042 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3354415434504.

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 11 ways as a sum of consecutive naturals, for example, 10143414 + ... + 10468890.

Almost surely, 23354415434504 is an apocalyptic number.

It is an amenable number.

3354415434504 is an abundant number, since it is smaller than the sum of its proper divisors (5730551081316).

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

3354415434504 is a wasteful number, since it uses less digits than its factorization.

3354415434504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468630 (or 468623 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 3354415434504 in words is "three trillion, three hundred fifty-four billion, four hundred fifteen million, four hundred thirty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 143141 286282 325477 429423 572564 650954 858846 976431 1145128 1288269 1301908 1717692 1952862 2576538 2603816 2929293 3435384 3905724 5153076 5858586 7811448 10306152 11717172 23434344 46589103257 93178206514 139767309771 186356413028 279534619542 372712826056 419301929313 559069239084 838603858626 1118138478168 1677207717252 3354415434504