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316136016 = 243273167151
BaseRepresentation
bin10010110101111…
…101101001010000
3211000212101002100
4102311331221100
51121412323031
651211520400
710556053230
oct2265755120
9730771070
10316136016
111524a5739
1289a59100
135065a541
142ddb3cc0
151cb49de6
hex12d7da50

316136016 has 240 divisors, whose sum is σ = 1066344448. Its totient is φ = 85536000.

The previous prime is 316136011. The next prime is 316136059. The reversal of 316136016 is 610631613.

It is a happy number.

316136016 is a `hidden beast` number, since 31 + 613 + 6 + 0 + 16 = 666.

It is a super-2 number, since 2×3161360162 = 199883961224704512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316136011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2093541 + ... + 2093691.

Almost surely, 2316136016 is an apocalyptic number.

316136016 is a gapful number since it is divisible by the number (36) 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 316136016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533172224).

316136016 is an abundant number, since it is smaller than the sum of its proper divisors (750208432).

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

316136016 is a wasteful number, since it uses less digits than its factorization.

316136016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 316136016 is about 17780.2141719384. The cubic root of 316136016 is about 681.2261728782.

Adding to 316136016 its reverse (610631613), we get a palindrome (926767629).

The spelling of 316136016 in words is "three hundred sixteen million, one hundred thirty-six thousand, sixteen".