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34580131420408 = 237773981781373
BaseRepresentation
bin1111101110011010100000…
…11100110001100011111000
311112102211100211000002120021
413313031100130301203320
514013030102120423113
6201313520522540224
710166221615201330
oct767152034614370
9145384324002507
1034580131420408
1110022395759302
123a65a40067674
13163ab7a7b26c2
14877989cd80c0
153ee79669548d
hex1f73507318f8

34580131420408 has 64 divisors (see below), whose sum is σ = 74204612084160. Its totient is φ = 14799194643456.

The previous prime is 34580131420399. The next prime is 34580131420459. The reversal of 34580131420408 is 80402413108543.

It is a congruent number.

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, 424917610 + ... + 424998982.

It is an arithmetic number, because the mean of its divisors is an integer number (1159447063815).

Almost surely, 234580131420408 is an apocalyptic number.

It is an amenable number.

34580131420408 is an abundant number, since it is smaller than the sum of its proper divisors (39624480663752).

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

34580131420408 is a wasteful number, since it uses less digits than its factorization.

34580131420408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91976 (or 91972 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 34580131420408 in words is "thirty-four trillion, five hundred eighty billion, one hundred thirty-one million, four hundred twenty thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 56 773 1546 3092 5411 6184 9817 10822 19634 21644 39268 43288 68719 78536 81373 137438 162746 274876 325492 549752 569611 650984 1139222 2278444 4556888 7588541 15177082 30354164 53119787 60708328 62901329 106239574 125802658 212479148 251605316 424958296 440309303 503210632 798838741 880618606 1597677482 1761237212 3195354964 3522474424 5591871187 6390709928 11183742374 22367484748 44734969496 617502346793 1235004693586 2470009387172 4322516427551 4940018774344 8645032855102 17290065710204 34580131420408