Search a number
-
+
13959939840 = 2835711311523
BaseRepresentation
bin11010000000001001…
…11100011100000000
31100000220002102100220
431000010330130000
5212042221033330
610225121543040
71002640350030
oct150004743400
940026072326
1013959939840
115a14027470
1228571a4a80
131416223b42
149660498c0
1556a86d710
hex34013c700

13959939840 has 576 divisors, whose sum is σ = 57416712192. Its totient is φ = 2805350400.

The previous prime is 13959939811. The next prime is 13959939857. The reversal of 13959939840 is 4893995931.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9165319 + ... + 9166841.

It is an arithmetic number, because the mean of its divisors is an integer number (99681792).

Almost surely, 213959939840 is an apocalyptic number.

13959939840 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 13959939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28708356096).

13959939840 is an abundant number, since it is smaller than the sum of its proper divisors (43456772352).

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

13959939840 is a wasteful number, since it uses less digits than its factorization.

13959939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 60.

The spelling of 13959939840 in words is "thirteen billion, nine hundred fifty-nine million, nine hundred thirty-nine thousand, eight hundred forty".