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14381643276 = 223272112137173
BaseRepresentation
bin11010110010011011…
…00111011000001100
31101010021121011201200
431121031213120030
5213423200041101
610335024305500
71016250644100
oct153115473014
941107534650
1014381643276
116110076500
122954472290
1314826c3cc0
149a605d900
155928bc986
hex35936760c

14381643276 has 648 divisors, whose sum is σ = 51458857632. Its totient is φ = 3353011200.

The previous prime is 14381643209. The next prime is 14381643281. The reversal of 14381643276 is 67234618341.

14381643276 is a `hidden beast` number, since 143 + 8 + 1 + 6 + 432 + 76 = 666.

14381643276 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 215 ways as a sum of consecutive naturals, for example, 197008776 + ... + 197008848.

Almost surely, 214381643276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14381643276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25729428816).

14381643276 is an abundant number, since it is smaller than the sum of its proper divisors (37077214356).

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

14381643276 is a wasteful number, since it uses less digits than its factorization.

14381643276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 14381643276 in words is "fourteen billion, three hundred eighty-one million, six hundred forty-three thousand, two hundred seventy-six".