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14934451200 = 2103521631193
BaseRepresentation
bin11011110100010100…
…11010010000000000
31102112210210201122020
431322022122100000
5221041204414300
610505533041440
71036042512024
oct157212322000
942483721566
1014934451200
116374121259
122a89626280
1315400a8596
14a19640384
155c61b78a0
hex37a29a400

14934451200 has 264 divisors, whose sum is σ = 49703583648. Its totient is φ = 3954769920.

The previous prime is 14934451183. The next prime is 14934451211. The reversal of 14934451200 is 215443941.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12517804 + ... + 12518996.

Almost surely, 214934451200 is an apocalyptic number.

14934451200 is a gapful number since it is divisible by the number (10) 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 14934451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24851791824).

14934451200 is an abundant number, since it is smaller than the sum of its proper divisors (34769132448).

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

14934451200 is a wasteful number, since it uses less digits than its factorization.

14934451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 14934451200 in words is "fourteen billion, nine hundred thirty-four million, four hundred fifty-one thousand, two hundred".