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14860969344 = 27331353792
BaseRepresentation
bin11011101011100100…
…00110010110000000
31102100200112110111000
431311302012112000
5220413402004334
610454350052000
71034161104144
oct156562062600
942320473430
1014860969344
1163366a2251
122a68aaa000
13152aabacb0
14a0d993224
155bea00299
hex375c86580

14860969344 has 384 divisors, whose sum is σ = 48742495200. Its totient is φ = 4429541376.

The previous prime is 14860969337. The next prime is 14860969349. The reversal of 14860969344 is 44396906841.

It is a happy number.

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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14860969349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188113497 + ... + 188113575.

Almost surely, 214860969344 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 14860969344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24371247600).

14860969344 is an abundant number, since it is smaller than the sum of its proper divisors (33881525856).

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

14860969344 is an equidigital number, since it uses as much as digits as its factorization.

14860969344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 14860969344 in words is "fourteen billion, eight hundred sixty million, nine hundred sixty-nine thousand, three hundred forty-four".