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14143713696 = 2533719123083
BaseRepresentation
bin11010010110000011…
…11111000110100000
31100111200220002201000
431023001333012200
5212431242314241
610255244512000
71010331403620
oct151301770640
940450802630
1014143713696
115aa8837492
1228a884b600
131445319678
14982606880
1557ba6eeb6
hex34b07f1a0

14143713696 has 192 divisors, whose sum is σ = 49627468800. Its totient is φ = 3828342528.

The previous prime is 14143713691. The next prime is 14143713739. The reversal of 14143713696 is 69631734141.

14143713696 is a `hidden beast` number, since 141 + 437 + 13 + 69 + 6 = 666.

It is a super-2 number, since 2×141437136962 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14143713691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53371 + ... + 176453.

It is an arithmetic number, because the mean of its divisors is an integer number (258476400).

Almost surely, 214143713696 is an apocalyptic number.

14143713696 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 14143713696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24813734400).

14143713696 is an abundant number, since it is smaller than the sum of its proper divisors (35483755104).

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

14143713696 is a wasteful number, since it uses less digits than its factorization.

14143713696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123128 (or 123114 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 14143713696 in words is "fourteen billion, one hundred forty-three million, seven hundred thirteen thousand, six hundred ninety-six".