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14113262880 = 253356535003
BaseRepresentation
bin11010010010011011…
…10100110100100000
31100102120121001001000
431021031310310200
5212400443403010
610252240112000
71006511520003
oct151115646440
940376531030
1014113262880
115a92629322
12289a605600
13143bc17432
1497c55b53a
155790577c0
hex349374d20

14113262880 has 192 divisors, whose sum is σ = 49481953920. Its totient is φ = 3757022208.

The previous prime is 14113262857. The next prime is 14113262897. The reversal of 14113262880 is 8826231141.

14113262880 is a `hidden beast` number, since 14 + 1 + 13 + 2 + 628 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2818459 + ... + 2823461.

It is an arithmetic number, because the mean of its divisors is an integer number (257718510).

Almost surely, 214113262880 is an apocalyptic number.

14113262880 is a gapful number since it is divisible by the number (10) 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 14113262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24740976960).

14113262880 is an abundant number, since it is smaller than the sum of its proper divisors (35368691040).

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

14113262880 is a wasteful number, since it uses less digits than its factorization.

14113262880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5666 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14113262880 in words is "fourteen billion, one hundred thirteen million, two hundred sixty-two thousand, eight hundred eighty".