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14944382208 = 283272196967
BaseRepresentation
bin11011110101100000…
…10010110100000000
31102120111111021102100
431322300102310000
5221101230212313
610510525550400
71036223103300
oct157260226400
942514437370
1014944382208
1163797945a8
122a90a15400
131542174912
14a1aaa7600
155c6eca173
hex37ac12d00

14944382208 has 324 divisors, whose sum is σ = 52768803360. Its totient is φ = 4044515328.

The previous prime is 14944382203. The next prime is 14944382209. The reversal of 14944382208 is 80228344941.

14944382208 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 438 + 2 + 208 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14944382203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2141541 + ... + 2148507.

Almost surely, 214944382208 is an apocalyptic number.

14944382208 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 14944382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26384401680).

14944382208 is an abundant number, since it is smaller than the sum of its proper divisors (37824421152).

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

14944382208 is a wasteful number, since it uses less digits than its factorization.

14944382208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 14944382208 in words is "fourteen billion, nine hundred forty-four million, three hundred eighty-two thousand, two hundred eight".