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316714318272 = 26361117311171
BaseRepresentation
bin1001001101111011010…
…01001111100111000000
31010021111100212101000000
410212331221033213000
520142112331141042
6401255131000000
731611322200252
oct4467551174700
91107440771000
10316714318272
11112354a80a80
125146ab99000
1323b34898471
1411486cd7cd2
158389c5474c
hex49bda4f9c0

316714318272 has 784 divisors, whose sum is σ = 1124489032704. Its totient is φ = 87340032000.

The previous prime is 316714318231. The next prime is 316714318279. The reversal of 316714318272 is 272813417613.

316714318272 is a `hidden beast` number, since 3 + 1 + 6 + 71 + 431 + 82 + 72 = 666.

316714318272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316714318279) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 270464247 + ... + 270465417.

Almost surely, 2316714318272 is an apocalyptic number.

316714318272 is a gapful number since it is divisible by the number (32) 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 316714318272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562244516352).

316714318272 is an abundant number, since it is smaller than the sum of its proper divisors (807774714432).

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

316714318272 is a wasteful number, since it uses less digits than its factorization.

316714318272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1235 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 316714318272 in words is "three hundred sixteen billion, seven hundred fourteen million, three hundred eighteen thousand, two hundred seventy-two".