Search a number
-
+
314515049 is a prime number
BaseRepresentation
bin10010101111110…
…001111001101001
3210220211000112112
4102233301321221
51121003440144
651113052105
710536222332
oct2257617151
9726730475
10314515049
111515988a2
12893b7035
13502107a4
142dab1289
151c92999e
hex12bf1e69

314515049 has 2 divisors, whose sum is σ = 314515050. Its totient is φ = 314515048.

The previous prime is 314515039. The next prime is 314515093. The reversal of 314515049 is 940515413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301265449 + 13249600 = 17357^2 + 3640^2 .

It is a cyclic number.

It is not a de Polignac number, because 314515049 - 212 = 314510953 is a prime.

It is a super-3 number, since 3×3145150493 (a number of 26 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (314515039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157257524 + 157257525.

It is an arithmetic number, because the mean of its divisors is an integer number (157257525).

Almost surely, 2314515049 is an apocalyptic number.

It is an amenable number.

314515049 is a deficient number, since it is larger than the sum of its proper divisors (1).

314515049 is an equidigital number, since it uses as much as digits as its factorization.

314515049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 314515049 is about 17734.5721403140. The cubic root of 314515049 is about 680.0598628095.

The spelling of 314515049 in words is "three hundred fourteen million, five hundred fifteen thousand, forty-nine".