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1313437944 = 2337213531621
BaseRepresentation
bin100111001001001…
…0111100011111000
310101112110120010210
41032102113203320
510142220003234
6334155311120
744356016100
oct11622274370
93345416123
101313437944
11614446405
12307a4b4a0
1317c161620
14c661c200
157a496be9
hex4e4978f8

1313437944 has 192 divisors, whose sum is σ = 4193713440. Its totient is φ = 339655680.

The previous prime is 1313437933. The next prime is 1313437949. The reversal of 1313437944 is 4497343131.

1313437944 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313437949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809454 + ... + 811074.

Almost surely, 21313437944 is an apocalyptic number.

1313437944 is a gapful number since it is divisible by the number (14) 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 1313437944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096856720).

1313437944 is an abundant number, since it is smaller than the sum of its proper divisors (2880275496).

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

1313437944 is a wasteful number, since it uses less digits than its factorization.

1313437944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1699 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 1313437944 is about 36241.3844106430. The cubic root of 1313437944 is about 1095.1405319936.

The spelling of 1313437944 in words is "one billion, three hundred thirteen million, four hundred thirty-seven thousand, nine hundred forty-four".