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12401355504342 = 23723121712918171
BaseRepresentation
bin1011010001110110101001…
…1000111011101011010110
31121220120001210021020011210
42310131222120323223112
53111140434002114332
642213034251242250
72416653102345150
oct264355230735326
947816053236153
1012401355504342
113a51426974722
121483570a49386
136bc59aaca7ac
1430c32bbcdad0
151678c381eecc
hexb476a63bad6

12401355504342 has 128 divisors (see below), whose sum is σ = 29629248380928. Its totient is φ = 3383368243200.

The previous prime is 12401355504287. The next prime is 12401355504359. The reversal of 12401355504342 is 24340555310421.

It is a self number, because there is not a number n which added to its sum of digits gives 12401355504342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1517723917 + ... + 1517732087.

It is an arithmetic number, because the mean of its divisors is an integer number (231478502976).

Almost surely, 212401355504342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12401355504342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14814624190464).

12401355504342 is an abundant number, since it is smaller than the sum of its proper divisors (17227892876586).

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

12401355504342 is a wasteful number, since it uses less digits than its factorization.

12401355504342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10714.

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 12401355504342 in words is "twelve trillion, four hundred one billion, three hundred fifty-five million, five hundred four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 1217 1291 2434 2582 3651 3873 7302 7746 8171 8519 9037 16342 17038 18074 24513 25557 27111 27991 29693 49026 51114 54222 55982 57197 59386 83973 89079 114394 167946 171591 178158 187933 195937 207851 343182 375866 391874 415702 563799 587811 623553 1127598 1175622 1247106 1315531 1571147 2631062 3142294 3946593 4713441 7893186 9426882 9944107 10548761 10998029 19888214 21097522 21996058 29832321 31646283 32994087 36136381 59664642 63292566 65988174 69608749 72272762 73841327 108409143 139217498 147682654 208826247 216818286 221523981 228714461 242621503 252954667 417652494 443047962 457428922 485243006 505909334 686143383 727864509 758864001 1372286766 1455729018 1517728002 1601001227 1698350521 3202002454 3396701042 4803003681 5095051563 9606007362 10190103126 12837842137 25675684274 38513526411 77027052822 89864894959 179729789918 269594684877 295270369151 539189369754 590540738302 885811107453 1771622214906 2066892584057 4133785168114 6200677752171 12401355504342