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14197800960 = 21433572131
BaseRepresentation
bin11010011100100000…
…10100000000000000
31100122110200000111000
431032100110000000
5213034114112320
610304500052000
71011556213500
oct151620240000
940573600430
1014197800960
11602631a002
122902994000
1314535a6275
14989885a00
155816a5c90
hex34e414000

14197800960 has 720 divisors, whose sum is σ = 59169337920. Its totient is φ = 3220439040.

The previous prime is 14197800943. The next prime is 14197800983. The reversal of 14197800960 is 6900879141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108380095 + ... + 108380225.

It is an arithmetic number, because the mean of its divisors is an integer number (82179636).

Almost surely, 214197800960 is an apocalyptic number.

14197800960 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 14197800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29584668960).

14197800960 is an abundant number, since it is smaller than the sum of its proper divisors (44971536960).

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

14197800960 is an equidigital number, since it uses as much as digits as its factorization.

14197800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 14197800960 in words is "fourteen billion, one hundred ninety-seven million, eight hundred thousand, nine hundred sixty".