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345042406405160 = 23517736950894569
BaseRepresentation
bin100111001110100000111001…
…0000100001111010000101000
31200020200201202120010022101022
41032131001302010033100220
5330211133322014431120
63221502143201312012
7132451330326021242
oct11635016204172050
91606621676108338
10345042406405160
119aa397321a6992
1232847643935608
1311a6b489535269
14612c1da6b1092
1529d5528b73025
hex139d07210f428

345042406405160 has 64 divisors (see below), whose sum is σ = 833273241051600. Its totient is φ = 128118888677376.

The previous prime is 345042406405111. The next prime is 345042406405163. The reversal of 345042406405160 is 61504604240543.

It can be written as a sum of positive squares in 8 ways, for example, as 303842619690724 + 41199786714436 = 17431082^2 + 6418706^2 .

It is not an unprimeable number, because it can be changed into a prime (345042406405163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3475397645 + ... + 3475496924.

Almost surely, 2345042406405160 is an apocalyptic number.

It is an amenable number.

345042406405160 is an abundant number, since it is smaller than the sum of its proper divisors (488230834646440).

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

345042406405160 is a wasteful number, since it uses less digits than its factorization.

345042406405160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6950894670 (or 6950894666 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 345042406405160 in words is "three hundred forty-five trillion, forty-two billion, four hundred six million, four hundred five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 73 85 136 146 170 292 340 365 584 680 730 1241 1460 2482 2920 4964 6205 9928 12410 24820 49640 6950894569 13901789138 27803578276 34754472845 55607156552 69508945690 118165207673 139017891380 236330415346 278035782760 472660830692 507415303537 590826038365 945321661384 1014830607074 1181652076730 2029661214148 2363304153460 2537076517685 4059322428296 4726608306920 5074153035370 8626060160129 10148306070740 17252120320258 20296612141480 34504240640516 43130300800645 69008481281032 86260601601290 172521203202580 345042406405160