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314079931368 = 233271314757057
BaseRepresentation
bin1001001001000001001…
…11110110101111101000
31010000200202210122112200
410210200213312233220
520121213430300433
6400141502540200
731456123240050
oct4444047665750
91100622718480
10314079931368
11111222a2a115
1250a54897660
1323804b75848
14112b70a4560
158283830613
hex49209f6be8

314079931368 has 96 divisors (see below), whose sum is σ = 979573383360. Its totient is φ = 89052088320.

The previous prime is 314079931367. The next prime is 314079931379. The reversal of 314079931368 is 863139970413.

It is a happy number.

314079931368 is a `hidden beast` number, since 314 + 0 + 7 + 9 + 9 + 313 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (314079931367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2312505 + ... + 2444552.

It is an arithmetic number, because the mean of its divisors is an integer number (10203889410).

Almost surely, 2314079931368 is an apocalyptic number.

It is an amenable number.

314079931368 is an abundant number, since it is smaller than the sum of its proper divisors (665493451992).

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

314079931368 is a wasteful number, since it uses less digits than its factorization.

314079931368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757207 (or 4757200 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 314079931368 in words is "three hundred fourteen billion, seventy-nine million, nine hundred thirty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 131 168 252 262 393 504 524 786 917 1048 1179 1572 1834 2358 2751 3144 3668 4716 5502 7336 8253 9432 11004 16506 22008 33012 66024 4757057 9514114 14271171 19028228 28542342 33299399 38056456 42813513 57084684 66598798 85627026 99898197 114169368 133197596 171254052 199796394 266395192 299694591 342508104 399592788 599389182 623174467 799185576 1198778364 1246348934 1869523401 2397556728 2492697868 3739046802 4362221269 4985395736 5608570203 7478093604 8724442538 11217140406 13086663807 14956187208 17448885076 22434280812 26173327614 34897770152 39259991421 44868561624 52346655228 78519982842 104693310456 157039965684 314079931368