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14390484000 = 253533732411
BaseRepresentation
bin11010110011011110…
…10101110000100000
31101010220020022220220
431121233111300200
5213432430442000
610335542003040
71016416044564
oct153157256040
941126208826
1014390484000
116115064692
122957416480
13148449acb9
149a72c16a4
155935671a0
hex359bd5c20

14390484000 has 192 divisors, whose sum is σ = 48418860672. Its totient is φ = 3733632000.

The previous prime is 14390483951. The next prime is 14390484019. The reversal of 14390484000 is 48409341.

It is a happy number.

14390484000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427795 + ... + 460205.

It is an arithmetic number, because the mean of its divisors is an integer number (252181566).

Almost surely, 214390484000 is an apocalyptic number.

14390484000 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 14390484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24209430336).

14390484000 is an abundant number, since it is smaller than the sum of its proper divisors (34028376672).

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

14390484000 is a wasteful number, since it uses less digits than its factorization.

14390484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32476 (or 32458 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 14390484000 in words is "fourteen billion, three hundred ninety million, four hundred eighty-four thousand".