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13343840640 = 2733513191311
BaseRepresentation
bin11000110110101101…
…01101100110000000
31021102221210100011000
430123112231212000
5204312010400030
610044032452000
7651446526324
oct143326554600
937387710130
1013343840640
115728282a79
1227049aa000
1313486ac4c0
149082b1984
15531720860
hex31b5ad980

13343840640 has 512 divisors, whose sum is σ = 51325747200. Its totient is φ = 3256934400.

The previous prime is 13343840569. The next prime is 13343840659. The reversal of 13343840640 is 4604834331.

It is a happy number.

13343840640 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 3 + 8 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13343840595 and 13343840604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42906085 + ... + 42906395.

It is an arithmetic number, because the mean of its divisors is an integer number (100245600).

Almost surely, 213343840640 is an apocalyptic number.

13343840640 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 13343840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662873600).

13343840640 is an abundant number, since it is smaller than the sum of its proper divisors (37981906560).

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

13343840640 is a wasteful number, since it uses less digits than its factorization.

13343840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 13343840640 in words is "thirteen billion, three hundred forty-three million, eight hundred forty thousand, six hundred forty".