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14990931144 = 2334719312181
BaseRepresentation
bin11011111011000011…
…10111010011001000
31102200202002012120000
431331201313103020
5221200134244034
610515311403000
71040326545420
oct157541672310
942622065500
1014990931144
1163a2a984a2
122aa4523460
13154b9c2277
14a22d43480
155cb122599
hex37d8774c8

14990931144 has 480 divisors, whose sum is σ = 52482830400. Its totient is φ = 3905107200.

The previous prime is 14990931103. The next prime is 14990931149. The reversal of 14990931144 is 44113909941.

It is a self number, because there is not a number n which added to its sum of digits gives 14990931144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14990931149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 82822734 + ... + 82822914.

It is an arithmetic number, because the mean of its divisors is an integer number (109339230).

Almost surely, 214990931144 is an apocalyptic number.

14990931144 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 14990931144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26241415200).

14990931144 is an abundant number, since it is smaller than the sum of its proper divisors (37491899256).

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

14990931144 is a wasteful number, since it uses less digits than its factorization.

14990931144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 14990931144 in words is "fourteen billion, nine hundred ninety million, nine hundred thirty-one thousand, one hundred forty-four".