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34714106544 = 24313321717293
BaseRepresentation
bin100000010101000111…
…110011101010110000
310022121021201022211210
4200111013303222300
51032043302402134
623540351440120
72336151015465
oct402507635260
9108537638753
1034714106544
11137a4232057
126889826040
133372c24960
14197456966c
15d8290b2e9
hex8151f3ab0

34714106544 has 80 divisors (see below), whose sum is σ = 96612031712. Its totient is φ = 10677325824.

The previous prime is 34714106509. The next prime is 34714106599. The reversal of 34714106544 is 44560141743.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1998762 + ... + 2016054.

Almost surely, 234714106544 is an apocalyptic number.

It is an amenable number.

34714106544 is an abundant number, since it is smaller than the sum of its proper divisors (61897925168).

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

34714106544 is a wasteful number, since it uses less digits than its factorization.

34714106544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20534 (or 20528 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 34714106544 in words is "thirty-four billion, seven hundred fourteen million, one hundred six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3217 6434 9651 12868 17293 19302 25736 34586 38604 41821 51472 51879 69172 77208 83642 103758 125463 138344 154416 167284 207516 224809 250926 276688 334568 415032 449618 501852 669136 674427 830064 899236 1003704 1348854 1798472 2007408 2697708 3596944 5395416 10790832 55631581 111263162 166894743 222526324 333789486 445052648 667578972 723210553 890105296 1335157944 1446421106 2169631659 2670315888 2892842212 4339263318 5785684424 8678526636 11571368848 17357053272 34714106544