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14006123568 = 2432361726891
BaseRepresentation
bin11010000101101010…
…00111110000110000
31100011002222210112100
431002311013300300
5212141031423233
610233451500400
71004041041333
oct150265076060
940132883470
1014006123568
115a38100a38
12286a757700
1314229741a8
1496c22c61a
1556e942813
hex342d47c30

14006123568 has 60 divisors (see below), whose sum is σ = 39209988168. Its totient is φ = 4667243520.

The previous prime is 14006123531. The next prime is 14006123569. The reversal of 14006123568 is 86532160041.

It is a happy number.

14006123568 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 612 + 35 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14006123569) 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, 507403 + ... + 534293.

Almost surely, 214006123568 is an apocalyptic number.

14006123568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14006123568 is an abundant number, since it is smaller than the sum of its proper divisors (25203864600).

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

14006123568 is a wasteful number, since it uses less digits than its factorization.

14006123568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30522 (or 30513 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14006123568 in words is "fourteen billion, six million, one hundred twenty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3617 7234 10851 14468 21702 26891 28936 32553 43404 53782 57872 65106 80673 86808 107564 130212 161346 173616 215128 242019 260424 322692 430256 484038 520848 645384 968076 1290768 1936152 3872304 97264747 194529494 291794241 389058988 583588482 778117976 875382723 1167176964 1556235952 1750765446 2334353928 3501530892 4668707856 7003061784 14006123568