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314315041 is a prime number
BaseRepresentation
bin10010101111000…
…001000100100001
3210220102212011211
4102233001010201
51120431040131
651104510121
710534430245
oct2257010441
9726385154
10314315041
111514715a7
128931b341
1350170741
142da5c425
151c8da5b1
hex12bc1121

314315041 has 2 divisors, whose sum is σ = 314315042. Its totient is φ = 314315040.

The previous prime is 314315039. The next prime is 314315047. The reversal of 314315041 is 140513413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 273406225 + 40908816 = 16535^2 + 6396^2 .

It is a cyclic number.

It is not a de Polignac number, because 314315041 - 21 = 314315039 is a prime.

Together with 314315039, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (314315047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157157520 + 157157521.

It is an arithmetic number, because the mean of its divisors is an integer number (157157521).

Almost surely, 2314315041 is an apocalyptic number.

It is an amenable number.

314315041 is a deficient number, since it is larger than the sum of its proper divisors (1).

314315041 is an equidigital number, since it uses as much as digits as its factorization.

314315041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 314315041 is about 17728.9323141581. The cubic root of 314315041 is about 679.9156765393.

Adding to 314315041 its reverse (140513413), we get a palindrome (454828454).

The spelling of 314315041 in words is "three hundred fourteen million, three hundred fifteen thousand, forty-one".