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142939641672 = 233217116780753
BaseRepresentation
bin1000010100011111011…
…1011101011101001000
3111122221201011011000200
42011013313131131020
54320220022013142
6145355432332200
713220114623122
oct2050767353510
9448851134020
10142939641672
1155690779473
1223852244060
131062c902439
146cbdc02212
153ab8d4164c
hex2147ddd748

142939641672 has 48 divisors (see below), whose sum is σ = 409900446540. Its totient is φ = 44843808768.

The previous prime is 142939641661. The next prime is 142939641679. The reversal of 142939641672 is 276146939241.

142939641672 is a `hidden beast` number, since 142 + 9 + 396 + 41 + 6 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114713625636 + 28226016036 = 338694^2 + 168006^2 .

It is a super-2 number, since 2×1429396416722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142939641679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58389153 + ... + 58391600.

Almost surely, 2142939641672 is an apocalyptic number.

142939641672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142939641672 is an abundant number, since it is smaller than the sum of its proper divisors (266960804868).

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

142939641672 is a wasteful number, since it uses less digits than its factorization.

142939641672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116780782 (or 116780775 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 142939641672 in words is "one hundred forty-two billion, nine hundred thirty-nine million, six hundred forty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 116780753 233561506 350342259 467123012 700684518 934246024 1051026777 1401369036 1985272801 2102053554 2802738072 3970545602 4204107108 5955818403 7941091204 8408214216 11911636806 15882182408 17867455209 23823273612 35734910418 47646547224 71469820836 142939641672