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316106636144 = 24131981198627
BaseRepresentation
bin1001001100110010110…
…11000111101101110000
31010012221000101220211112
410212121123013231300
520134341244324034
6401114542132452
731560263034245
oct4463133075560
91105830356745
10316106636144
11112072a56442
125131b581128
1323a68a10040
141142a3115cc
15835171a7ce
hex49996c7b70

316106636144 has 80 divisors (see below), whose sum is σ = 695145924480. Its totient is φ = 138044839680.

The previous prime is 316106636141. The next prime is 316106636161. The reversal of 316106636144 is 441636601613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316106636141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3155759 + ... + 3254385.

It is an arithmetic number, because the mean of its divisors is an integer number (8689324056).

Almost surely, 2316106636144 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 316106636144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347572962240).

316106636144 is an abundant number, since it is smaller than the sum of its proper divisors (379039288336).

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

316106636144 is a wasteful number, since it uses less digits than its factorization.

316106636144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99478 (or 99472 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 316106636144 in words is "three hundred sixteen billion, one hundred six million, six hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 811 988 1622 1976 3244 3952 6488 10543 12976 15409 21086 30818 42172 61636 84344 98627 123272 168688 197254 200317 246544 394508 400634 789016 801268 1282151 1578032 1602536 1873913 2564302 3205072 3747826 5128604 7495652 10257208 14991304 20514416 24360869 29982608 48721738 79986497 97443476 159972994 194886952 319945988 389773904 639891976 1039824461 1279783952 1519743443 2079648922 3039486886 4159297844 6078973772 8318595688 12157947544 16637191376 19756664759 24315895088 39513329518 79026659036 158053318072 316106636144