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116312314304 = 265379894877
BaseRepresentation
bin110110001010011000…
…0010001000111000000
3102010020000010202201202
41230110300101013000
53401201423024204
6125233320320332
711255220234104
oct1542460210700
9363200122652
10116312314304
11453672a629a
121a6609130a8
13ac781b5824
1458b568d904
15305b372e1e
hex1b14c111c0

116312314304 has 112 divisors (see below), whose sum is σ = 240863932800. Its totient is φ = 55692189696.

The previous prime is 116312314267. The next prime is 116312314337. The reversal of 116312314304 is 403413213611.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23846714 + ... + 23851590.

Almost surely, 2116312314304 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 116312314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120431966400).

116312314304 is an abundant number, since it is smaller than the sum of its proper divisors (124551618496).

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

116312314304 is an equidigital number, since it uses as much as digits as its factorization.

116312314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 116312314304 its reverse (403413213611), we get a palindrome (519725527915).

The spelling of 116312314304 in words is "one hundred sixteen billion, three hundred twelve million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 32 53 64 79 89 106 158 178 212 316 356 424 632 712 848 1264 1424 1696 2528 2848 3392 4187 4717 4877 5056 5696 7031 8374 9434 9754 14062 16748 18868 19508 28124 33496 37736 39016 56248 66992 75472 78032 112496 133984 150944 156064 224992 258481 267968 301888 312128 372643 385283 434053 449984 516962 745286 770566 868106 1033924 1490572 1541132 1736212 2067848 2981144 3082264 3472424 4135696 5962288 6164528 6944848 8271392 11924576 12329056 13889696 16542784 20419999 23004809 23849152 24658112 27779392 34290187 40839998 46009618 68580374 81679996 92019236 137160748 163359992 184038472 274321496 326719984 368076944 548642992 653439968 736153888 1097285984 1306879936 1472307776 1817379911 2194571968 3634759822 7269519644 14539039288 29078078576 58156157152 116312314304