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14934772944 = 24327133730803
BaseRepresentation
bin11011110100010111…
…01000110011010000
31102112211102001222200
431322023220303100
5221041300213234
610505544003200
71036045322040
oct157213506320
942484361880
1014934772944
116374320a63
122a89760500
13154018bb70
14a196c5720
155c622cd99
hex37a2e8cd0

14934772944 has 240 divisors, whose sum is σ = 52834035072. Its totient is φ = 3832261632.

The previous prime is 14934772933. The next prime is 14934772973. The reversal of 14934772944 is 44927743941.

It is a happy number.

14934772944 is a `hidden beast` number, since 1 + 4 + 9 + 347 + 7 + 294 + 4 = 666.

14934772944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 469447 + ... + 500249.

Almost surely, 214934772944 is an apocalyptic number.

14934772944 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 14934772944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417017536).

14934772944 is an abundant number, since it is smaller than the sum of its proper divisors (37899262128).

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

14934772944 is a wasteful number, since it uses less digits than its factorization.

14934772944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30874 (or 30865 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 14934772944 in words is "fourteen billion, nine hundred thirty-four million, seven hundred seventy-two thousand, nine hundred forty-four".