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14137008768 = 273212271709
BaseRepresentation
bin11010010101010000…
…11010001010000000
31100111020021110021100
431022220122022000
5212423033240033
610254445054400
71010220410001
oct151250321200
940436243240
1014137008768
115aa4a77a23
1228a6557400
131443b0c85c
1498177d1a8
1557b198513
hex34aa1a280

14137008768 has 48 divisors (see below), whose sum is σ = 40680718650. Its totient is φ = 4712335872.

The previous prime is 14137008757. The next prime is 14137008793. The reversal of 14137008768 is 86780073141.

14137008768 is a `hidden beast` number, since 141 + 370 + 0 + 87 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11442153024 + 2694855744 = 106968^2 + 51912^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6134703 + ... + 6137006.

Almost surely, 214137008768 is an apocalyptic number.

14137008768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14137008768 is an abundant number, since it is smaller than the sum of its proper divisors (26543709882).

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

14137008768 is a wasteful number, since it uses less digits than its factorization.

14137008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12271729 (or 12271714 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 14137008768 in words is "fourteen billion, one hundred thirty-seven million, eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 12271709 24543418 36815127 49086836 73630254 98173672 110445381 147260508 196347344 220890762 294521016 392694688 441781524 589042032 785389376 883563048 1178084064 1570778752 1767126096 2356168128 3534252192 4712336256 7068504384 14137008768