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14099136480 = 25335111329787
BaseRepresentation
bin11010010000101111…
…11011111111100000
31100101121000100021000
431020113323333200
5212333334331410
610251013232000
71006250453112
oct151027737740
940347010230
1014099136480
115a8565aa10
122895932600
13143900c610
1497a7213b2
15577bb6dc0
hex3485fbfe0

14099136480 has 768 divisors, whose sum is σ = 60049382400. Its totient is φ = 3042385920.

The previous prime is 14099136461. The next prime is 14099136497. The reversal of 14099136480 is 8463199041.

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 127 ways as a sum of consecutive naturals, for example, 17914647 + ... + 17915433.

It is an arithmetic number, because the mean of its divisors is an integer number (78189300).

Almost surely, 214099136480 is an apocalyptic number.

14099136480 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 14099136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30024691200).

14099136480 is an abundant number, since it is smaller than the sum of its proper divisors (45950245920).

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

14099136480 is a wasteful number, since it uses less digits than its factorization.

14099136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 14099136480 in words is "fourteen billion, ninety-nine million, one hundred thirty-six thousand, four hundred eighty".