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1308240413316 = 223236340011481
BaseRepresentation
bin10011000010011001001…
…101001000001010000100
311122001210112010211012100
4103002121031020022010
5132413234021211231
62440555232152100
7163342263015114
oct23023115101204
94561715124170
101308240413316
11464904675731
12191667098630
139649c3a4555
1447467b55044
152406c5ae1e6
hex13099348284

1308240413316 has 18 divisors (see below), whose sum is σ = 3306941044862. Its totient is φ = 436080137760.

The previous prime is 1308240413273. The next prime is 1308240413341. The reversal of 1308240413316 is 6133140428031.

1308240413316 is a `hidden beast` number, since 1 + 30 + 82 + 404 + 133 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1099981440000 + 208258973316 = 1048800^2 + 456354^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×13082404133162 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 36340011481 = 1308240413316 / (1 + 3 + 0 + 8 + 2 + 4 + 0 + 4 + 1 + 3 + 3 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18170005705 + ... + 18170005776.

Almost surely, 21308240413316 is an apocalyptic number.

It is an amenable number.

1308240413316 is an abundant number, since it is smaller than the sum of its proper divisors (1998700631546).

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

1308240413316 is a wasteful number, since it uses less digits than its factorization.

1308240413316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36340011491 (or 36340011486 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1308240413316 in words is "one trillion, three hundred eight billion, two hundred forty million, four hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 36340011481 72680022962 109020034443 145360045924 218040068886 327060103329 436080137772 654120206658 1308240413316