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318119353344 = 2103413312307
BaseRepresentation
bin1001010000100010110…
…01000001110000000000
31010102010021200112210000
410220101121001300000
520203002023301334
6402050401440000
731661202613362
oct4502131016000
91112107615700
10318119353344
11112a06099691
12517a1640000
1323cc99ba970
141157b75ad32
15841d291299
hex4a11641c00

318119353344 has 660 divisors, whose sum is σ = 1060550159592. Its totient is φ = 94416814080.

The previous prime is 318119353337. The next prime is 318119353351. The reversal of 318119353344 is 443353911813.

318119353344 is a `hidden beast` number, since 3 + 18 + 11 + 93 + 533 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (318119353337) and next prime (318119353351).

It is a self number, because there is not a number n which added to its sum of digits gives 318119353344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1036219239 + ... + 1036219545.

Almost surely, 2318119353344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318119353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530275079796).

318119353344 is an abundant number, since it is smaller than the sum of its proper divisors (742430806248).

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

318119353344 is a wasteful number, since it uses less digits than its factorization.

318119353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 356 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 318119353344 in words is "three hundred eighteen billion, one hundred nineteen million, three hundred fifty-three thousand, three hundred forty-four".