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14014062720 = 2736572613
BaseRepresentation
bin11010000110100110…
…11010000010000000
31100011122221011000000
431003103122002000
5212200100001340
610234334000000
71004165365500
oct150323320200
940148834000
1014014062720
115a41633819
122871346000
1314244c3a08
1496d2d7a00
155704aed30
hex3434da080

14014062720 has 672 divisors, whose sum is σ = 58526805420. Its totient is φ = 3197988864.

The previous prime is 14014062703. The next prime is 14014062737. The reversal of 14014062720 is 2726041041.

14014062720 is a `hidden beast` number, since 1 + 4 + 0 + 14 + 0 + 627 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (14014062703) and next prime (14014062737).

It can be written as a sum of positive squares in 2 ways, for example, as 11524451904 + 2489610816 = 107352^2 + 49896^2 .

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22861134 + ... + 22861746.

Almost surely, 214014062720 is an apocalyptic number.

14014062720 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 14014062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29263402710).

14014062720 is an abundant number, since it is smaller than the sum of its proper divisors (44512742700).

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

14014062720 is an frugal number, since it uses more digits than its factorization.

14014062720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14014062720 in words is "fourteen billion, fourteen million, sixty-two thousand, seven hundred twenty".