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13334340320 = 2557175931181
BaseRepresentation
bin11000110101100100…
…11110001011100000
31021102021220200011022
430122302132023200
5204302042342240
610043053105012
7651303010520
oct143262361340
937367820138
1013334340320
115722984274
122701788168
131346734202
14906d1b680
155309959b5
hex31ac9e2e0

13334340320 has 192 divisors, whose sum is σ = 38217142656. Its totient is φ = 4291952640.

The previous prime is 13334340307. The next prime is 13334340373. The reversal of 13334340320 is 2304343331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13334340320.

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, 11290130 + ... + 11291310.

It is an arithmetic number, because the mean of its divisors is an integer number (199047618).

Almost surely, 213334340320 is an apocalyptic number.

13334340320 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 13334340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108571328).

13334340320 is an abundant number, since it is smaller than the sum of its proper divisors (24882802336).

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

13334340320 is a wasteful number, since it uses less digits than its factorization.

13334340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 13334340320 its reverse (2304343331), we get a palindrome (15638683651).

The spelling of 13334340320 in words is "thirteen billion, three hundred thirty-four million, three hundred forty thousand, three hundred twenty".