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14012899296 = 25311293783149
BaseRepresentation
bin11010000110011101…
…11101111111100000
31100011120202001002020
431003032331333200
5212144300234141
610234253021440
71004152451544
oct150316757740
940146661066
1014012899296
115a40a09710
122870a84880
1314241a72b6
1496d0b3a24
15570330266
hex3433bdfe0

14012899296 has 384 divisors, whose sum is σ = 43436736000. Its totient is φ = 3914588160.

The previous prime is 14012899249. The next prime is 14012899319. The reversal of 14012899296 is 69299821041.

It is a super-2 number, since 2×140128992962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94046230 + ... + 94046378.

It is an arithmetic number, because the mean of its divisors is an integer number (113116500).

Almost surely, 214012899296 is an apocalyptic number.

14012899296 is a gapful number since it is divisible by the number (16) 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 14012899296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718368000).

14012899296 is an abundant number, since it is smaller than the sum of its proper divisors (29423836704).

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

14012899296 is a wasteful number, since it uses less digits than its factorization.

14012899296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 14012899296 in words is "fourteen billion, twelve million, eight hundred ninety-nine thousand, two hundred ninety-six".