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316130363640 = 2332571359316273
BaseRepresentation
bin1001001100110101101…
…01101000100011111000
31010012222200001101211200
410212122311220203320
520134413333114030
6401121150454200
731561001516520
oct4463265504370
91105880041750
10316130363640
11112085392243
1251327504360
1323a708c9c90
141142d52a680
158353855d60
hex499ad688f8

316130363640 has 384 divisors, whose sum is σ = 1266731706240. Its totient is φ = 66583461888.

The previous prime is 316130363611. The next prime is 316130363669. The reversal of 316130363640 is 46363031613.

316130363640 is a `hidden beast` number, since 3 + 1 + 6 + 1 + 3 + 0 + 3 + 6 + 3 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (316130363611) and next prime (316130363669).

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 = 316130363595 and 316130363604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19418544 + ... + 19434816.

It is an arithmetic number, because the mean of its divisors is an integer number (3298780485).

Almost surely, 2316130363640 is an apocalyptic number.

316130363640 is a gapful number since it is divisible by the number (30) 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 316130363640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633365853120).

316130363640 is an abundant number, since it is smaller than the sum of its proper divisors (950601342600).

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

316130363640 is a wasteful number, since it uses less digits than its factorization.

316130363640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16903 (or 16896 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 316130363640 in words is "three hundred sixteen billion, one hundred thirty million, three hundred sixty-three thousand, six hundred forty".