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14427045360 = 24325713317103
BaseRepresentation
bin11010110111110101…
…10011110111110000
31101020110000211200100
431123322303313300
5214021310422420
610343325352400
71020341601510
oct153372636760
941213024610
1014427045360
116133766792
122967708700
13148bc2c640
149ac0bb840
1559688a190
hex35beb3df0

14427045360 has 480 divisors, whose sum is σ = 61564059648. Its totient is φ = 2945341440.

The previous prime is 14427045349. The next prime is 14427045377. The reversal of 14427045360 is 6354072441.

14427045360 is a `hidden beast` number, since 14 + 42 + 70 + 4 + 536 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2027569 + ... + 2034671.

Almost surely, 214427045360 is an apocalyptic number.

14427045360 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 14427045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30782029824).

14427045360 is an abundant number, since it is smaller than the sum of its proper divisors (47137014288).

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

14427045360 is a wasteful number, since it uses less digits than its factorization.

14427045360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7173 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 14427045360 in words is "fourteen billion, four hundred twenty-seven million, forty-five thousand, three hundred sixty".