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14227318560 = 25357213193179
BaseRepresentation
bin11010100000000001…
…11010011100100000
31100201112012200000110
431100000322130200
5213114143143220
610311432451320
71012365132600
oct152000723440
940645180013
1014227318560
116040a50014
122910849b40
13145973c7c0
1498d76ac00
15584086be0
hex35003a720

14227318560 has 1152 divisors, whose sum is σ = 61776691200. Its totient is φ = 2717245440.

The previous prime is 14227318519. The next prime is 14227318571. The reversal of 14227318560 is 6581372241.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180092601 + ... + 180092679.

It is an arithmetic number, because the mean of its divisors is an integer number (53625600).

Almost surely, 214227318560 is an apocalyptic number.

14227318560 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 14227318560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30888345600).

14227318560 is an abundant number, since it is smaller than the sum of its proper divisors (47549372640).

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

14227318560 is a wasteful number, since it uses less digits than its factorization.

14227318560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 14227318560 in words is "fourteen billion, two hundred twenty-seven million, three hundred eighteen thousand, five hundred sixty".