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14994456048 = 24331113218671
BaseRepresentation
bin11011111011011110…
…10011110111110000
31102200222201021211000
431331233103313300
5221202040043143
610515515122000
71040401526205
oct157557236760
942628637730
1014994456048
1163a4a85840
122aa5743300
13154c657800
14a235bdcac
155cb5bbbd3
hex37dbd3df0

14994456048 has 240 divisors, whose sum is σ = 50844602880. Its totient is φ = 4194028800.

The previous prime is 14994456047. The next prime is 14994456067. The reversal of 14994456048 is 84065449941.

14994456048 is a `hidden beast` number, since 14 + 99 + 445 + 60 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14994455985 and 14994456003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14994456047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793753 + ... + 812423.

It is an arithmetic number, because the mean of its divisors is an integer number (211852512).

Almost surely, 214994456048 is an apocalyptic number.

14994456048 is a gapful number since it is divisible by the number (18) 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 14994456048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25422301440).

14994456048 is an abundant number, since it is smaller than the sum of its proper divisors (35850146832).

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

14994456048 is a wasteful number, since it uses less digits than its factorization.

14994456048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18725 (or 18700 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 14994456048 in words is "fourteen billion, nine hundred ninety-four million, four hundred fifty-six thousand, forty-eight".