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314000330337 = 32141769246097
BaseRepresentation
bin1001001000110111110…
…00001100111001100001
31010000111020000111110100
410210123320030321201
520121033041032322
6400125540453013
731454135525061
oct4443370147141
91100436014410
10314000330337
11111192000741
1250a320aa169
13237c1524c45
14112aa6a33a1
15827b859dac
hex491be0ce61

314000330337 has 12 divisors (see below), whose sum is σ = 453561074980. Its totient is φ = 209331226368.

The previous prime is 314000330291. The next prime is 314000330351. The reversal of 314000330337 is 733033000413.

It can be written as a sum of positive squares in 2 ways, for example, as 288846053136 + 25154277201 = 537444^2 + 158601^2 .

It is not a de Polignac number, because 314000330337 - 27 = 314000330209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314000330337.

It is not an unprimeable number, because it can be changed into a prime (314000330837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1152873 + ... + 1398969.

Almost surely, 2314000330337 is an apocalyptic number.

It is an amenable number.

314000330337 is a deficient number, since it is larger than the sum of its proper divisors (139560744643).

314000330337 is a wasteful number, since it uses less digits than its factorization.

314000330337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387872 (or 387869 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 27.

The spelling of 314000330337 in words is "three hundred fourteen billion, three hundred thirty thousand, three hundred thirty-seven".

Divisors: 1 3 9 141769 246097 425307 738291 1275921 2214873 34888925593 104666776779 314000330337