Search a number
-
+
314213041 is a prime number
BaseRepresentation
bin10010101110101…
…000001010110001
3210220020200021001
4102232220022301
51120414304131
651102402001
710533524002
oct2256501261
9726220231
10314213041
111514019aa
1289290301
135013619c
142da331a9
151c8ba261
hex12ba82b1

314213041 has 2 divisors, whose sum is σ = 314213042. Its totient is φ = 314213040.

The previous prime is 314212967. The next prime is 314213047. The reversal of 314213041 is 140312413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237036816 + 77176225 = 15396^2 + 8785^2 .

It is a cyclic number.

It is not a de Polignac number, because 314213041 - 217 = 314081969 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (314213047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157106520 + 157106521.

It is an arithmetic number, because the mean of its divisors is an integer number (157106521).

Almost surely, 2314213041 is an apocalyptic number.

It is an amenable number.

314213041 is a deficient number, since it is larger than the sum of its proper divisors (1).

314213041 is an equidigital number, since it uses as much as digits as its factorization.

314213041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 314213041 is about 17726.0554269696. The cubic root of 314213041 is about 679.8421209309.

Adding to 314213041 its reverse (140312413), we get a palindrome (454525454).

The spelling of 314213041 in words is "three hundred fourteen million, two hundred thirteen thousand, forty-one".