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1316397312 = 2833172659
BaseRepresentation
bin100111001110110…
…1010000100000000
310101202000220122000
41032131222010000
510143444203222
6334342544000
744423123016
oct11635520400
93352026560
101316397312
1161608786a
12308a38000
1317c959629
14c6b8c8b6
157a87d9ac
hex4e76a100

1316397312 has 216 divisors, whose sum is σ = 4141552800. Its totient is φ = 412360704.

The previous prime is 1316397301. The next prime is 1316397317. The reversal of 1316397312 is 2137936131.

1316397312 is a `hidden beast` number, since 1 + 3 + 1 + 639 + 7 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (1316397317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1997239 + ... + 1997897.

Almost surely, 21316397312 is an apocalyptic number.

1316397312 is a gapful number since it is divisible by the number (12) 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 1316397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070776400).

1316397312 is an abundant number, since it is smaller than the sum of its proper divisors (2825155488).

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

1316397312 is an equidigital number, since it uses as much as digits as its factorization.

1316397312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 681 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 1316397312 is about 36282.1900110784. The cubic root of 1316397312 is about 1095.9624190144.

The spelling of 1316397312 in words is "one billion, three hundred sixteen million, three hundred ninety-seven thousand, three hundred twelve".