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314322131231199 = 327131722575747413
BaseRepresentation
bin100011101110111111101001…
…0111110100010000111011111
31112012220220100202121121012100
41013131333102332202013133
5312144323211043344244
63032301332121340143
7123131011300341120
oct10735772276420737
91465826322547170
10314322131231199
11911752a379aa23
122b305899937653
13106505b0266630
1457893b5388047
15265138ed1cb69
hex11ddfd2fa21df

314322131231199 has 48 divisors (see below), whose sum is σ = 591665188226112. Its totient is φ = 156043566111744.

The previous prime is 314322131231189. The next prime is 314322131231261. The reversal of 314322131231199 is 991132131223413.

314322131231199 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 221 + 3 + 1 + 231 + 199 = 666.

It is not a de Polignac number, because 314322131231199 - 212 = 314322131227103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314322131231189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11287859784 + ... + 11287887629.

It is an arithmetic number, because the mean of its divisors is an integer number (12326358088044).

Almost surely, 2314322131231199 is an apocalyptic number.

314322131231199 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

314322131231199 is a deficient number, since it is larger than the sum of its proper divisors (277343056994913).

314322131231199 is a wasteful number, since it uses less digits than its factorization.

314322131231199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22575747456 (or 22575747453 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 314322131231199 in words is "three hundred fourteen trillion, three hundred twenty-two billion, one hundred thirty-one million, two hundred thirty-one thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 1071 1547 1989 4641 13923 22575747413 67727242239 158030231891 203181726717 293484716369 383787706021 474090695673 880454149107 1151363118063 1422272087019 2054393014583 2641362447321 2686513942147 3454089354189 4989240178273 6163179043749 8059541826441 14967720534819 18489537131247 24178625479323 34924681247911 44903161604457 104774043743733 314322131231199