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14963421312 = 2732753157223
BaseRepresentation
bin11011110111110001…
…11011000010000000
31102121211022120011100
431323320323002000
5221121113440222
610512450014400
71036543661010
oct157370730200
942554276140
1014963421312
1163895089a4
122a97277400
1315460ac868
14a1d421c40
155c89db4ac
hex37be3b080

14963421312 has 384 divisors, whose sum is σ = 50684175360. Its totient is φ = 4149190656.

The previous prime is 14963421293. The next prime is 14963421331. The reversal of 14963421312 is 21312436941.

14963421312 is a `hidden beast` number, since 1 + 4 + 9 + 634 + 2 + 1 + 3 + 12 = 666.

14963421312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14963421293) and next prime (14963421331).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 67100433 + ... + 67100655.

It is an arithmetic number, because the mean of its divisors is an integer number (131990040).

Almost surely, 214963421312 is an apocalyptic number.

14963421312 is a gapful number since it is divisible by the number (12) 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 14963421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25342087680).

14963421312 is an abundant number, since it is smaller than the sum of its proper divisors (35720754048).

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

14963421312 is a wasteful number, since it uses less digits than its factorization.

14963421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 445 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 14963421312 in words is "fourteen billion, nine hundred sixty-three million, four hundred twenty-one thousand, three hundred twelve".