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14002007136 = 25313193671609
BaseRepresentation
bin11010000101001010…
…11010110001100000
31100010211020122211220
431002211122301200
5212134003212021
610233223335040
71003661045145
oct150245326140
940124218756
1014002007136
115a3584a227
1228692b1480
131421b62630
1496b87a3cc
1556e3cccc6
hex34295ac60

14002007136 has 192 divisors, whose sum is σ = 41805388800. Its totient is φ = 4067905536.

The previous prime is 14002007113. The next prime is 14002007203. The reversal of 14002007136 is 63170020041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8701500 + ... + 8703108.

It is an arithmetic number, because the mean of its divisors is an integer number (217736400).

Almost surely, 214002007136 is an apocalyptic number.

14002007136 is a gapful number since it is divisible by the number (16) 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 14002007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20902694400).

14002007136 is an abundant number, since it is smaller than the sum of its proper divisors (27803381664).

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

14002007136 is a wasteful number, since it uses less digits than its factorization.

14002007136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 14002007136 its reverse (63170020041), we get a palindrome (77172027177).

The spelling of 14002007136 in words is "fourteen billion, two million, seven thousand, one hundred thirty-six".