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342237454125 = 35373123917597
BaseRepresentation
bin1001111101011101111…
…00010001111100101101
31012201101010011000021220
410332232330101330231
521101400242013000
6421115520213553
733503651235120
oct4765674217455
91181333130256
10342237454125
11122162136786
12563b276a2b9
13263715c7608
14127c893a3b7
158d808101a0
hex4faef11f2d

342237454125 has 128 divisors (see below), whose sum is σ = 674681978880. Its totient is φ = 150762528000.

The previous prime is 342237454067. The next prime is 342237454147. The reversal of 342237454125 is 521454732243.

It is not a de Polignac number, because 342237454125 - 28 = 342237453869 is a prime.

It is a super-4 number, since 4×3422374541254 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19439827 + ... + 19457423.

It is an arithmetic number, because the mean of its divisors is an integer number (5270952960).

Almost surely, 2342237454125 is an apocalyptic number.

342237454125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

342237454125 is a deficient number, since it is larger than the sum of its proper divisors (332444524755).

342237454125 is a wasteful number, since it uses less digits than its factorization.

342237454125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17892 (or 17882 counting only the distinct ones).

The product of its digits is 806400, while the sum is 42.

The spelling of 342237454125 in words is "three hundred forty-two billion, two hundred thirty-seven million, four hundred fifty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 31 35 75 93 105 125 155 175 217 239 375 465 525 651 717 775 875 1085 1195 1673 2325 2625 3255 3585 3875 5019 5425 5975 7409 8365 11625 16275 17597 17925 22227 25095 27125 29875 37045 41825 51863 52791 81375 87985 89625 111135 123179 125475 155589 185225 209125 259315 263955 369537 439925 545507 555675 615895 627375 777945 926125 1296575 1319775 1636521 1847685 2199625 2727535 2778375 3079475 3818549 3889725 4205683 6482875 6598875 8182605 9238425 11455647 12617049 13637675 15397375 19092745 19448625 21028415 29439781 40913025 46192125 57278235 63085245 68188375 88319343 95463725 105142075 130376173 147198905 204565125 286391175 315426225 391128519 441596715 477318625 525710375 651880865 735994525 912633211 1431955875 1577131125 1955642595 2207983575 2737899633 3259404325 3679972625 4563166055 9778212975 11039917875 13689498165 16297021625 22815830275 48891064875 68447490825 114079151375 342237454125