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131430994128 = 24327314206061
BaseRepresentation
bin111101001100111100…
…1011101000011010000
3110120020122121021112100
41322121321131003100
54123132313303003
6140213434200400
712331661005620
oct1723171350320
9416218537470
10131430994128
1150815408205
122157bb83100
13c5174b5915
14650b568880
1536437cbba3
hex1e99e5d0d0

131430994128 has 120 divisors (see below), whose sum is σ = 433931004416. Its totient is φ = 36340358400.

The previous prime is 131430994091. The next prime is 131430994183. The reversal of 131430994128 is 821499034131.

131430994128 is a `hidden beast` number, since 1 + 3 + 1 + 430 + 9 + 94 + 128 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2071783 + ... + 2134278.

Almost surely, 2131430994128 is an apocalyptic number.

131430994128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131430994128 is an abundant number, since it is smaller than the sum of its proper divisors (302500010288).

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

131430994128 is a wasteful number, since it uses less digits than its factorization.

131430994128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206113 (or 4206104 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 131430994128 in words is "one hundred thirty-one billion, four hundred thirty million, nine hundred ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 31248 4206061 8412122 12618183 16824244 25236366 29442427 33648488 37854549 50472732 58884854 67296976 75709098 88327281 100945464 117769708 130387891 151418196 176654562 201890928 235539416 260775782 264981843 302836392 353309124 391163673 471078832 521551564 529963686 605672784 706618248 782327346 912715237 1043103128 1059927372 1173491019 1413236496 1564654692 1825430474 2086206256 2119854744 2346982038 2738145711 3129309384 3650860948 4239709488 4693964076 5476291422 6258618768 7301721896 8214437133 9387928152 10952582844 14603443792 16428874266 18775856304 21905165688 32857748532 43810331376 65715497064 131430994128