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14094639104 = 21372133773
BaseRepresentation
bin11010010000001101…
…10010000000000000
31100101021112212000112
431020012302000000
5212331211422404
610250333010452
71006164312200
oct151006620000
940337485015
1014094639104
115a83068a77
122894323a28
1314380c6550
14979cb0400
155775c956e
hex3481b2000

14094639104 has 336 divisors, whose sum is σ = 36763058808. Its totient is φ = 5350883328.

The previous prime is 14094639103. The next prime is 14094639121. The reversal of 14094639104 is 40193649041.

It can be written as a sum of positive squares in 4 ways, for example, as 12644552704 + 1450086400 = 112448^2 + 38080^2 .

It is not an unprimeable number, because it can be changed into a prime (14094639101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193077212 + ... + 193077284.

Almost surely, 214094639104 is an apocalyptic number.

14094639104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14094639104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18381529404).

14094639104 is an abundant number, since it is smaller than the sum of its proper divisors (22668419704).

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

14094639104 is an equidigital number, since it uses as much as digits as its factorization.

14094639104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 14094639104 in words is "fourteen billion, ninety-four million, six hundred thirty-nine thousand, one hundred four".