Search a number
-
+
314342031041 is a prime number
BaseRepresentation
bin1001001001100000011…
…11101011111011000001
31010001101000222200200222
410210300033223323001
520122233024443131
6400223504352425
731465455115043
oct4446017537301
91101330880628
10314342031041
11111347977515
1250b08615715
13238472636cc
14112ddc0da93
15829b85487b
hex49303ebec1

314342031041 has 2 divisors, whose sum is σ = 314342031042. Its totient is φ = 314342031040.

The previous prime is 314342031011. The next prime is 314342031043. The reversal of 314342031041 is 140130243413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228384586816 + 85957444225 = 477896^2 + 293185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314342031041 is a prime.

Together with 314342031043, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314342031041.

It is not a weakly prime, because it can be changed into another prime (314342031043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157171015520 + 157171015521.

It is an arithmetic number, because the mean of its divisors is an integer number (157171015521).

Almost surely, 2314342031041 is an apocalyptic number.

It is an amenable number.

314342031041 is a deficient number, since it is larger than the sum of its proper divisors (1).

314342031041 is an equidigital number, since it uses as much as digits as its factorization.

314342031041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 314342031041 its reverse (140130243413), we get a palindrome (454472274454).

The spelling of 314342031041 in words is "three hundred fourteen billion, three hundred forty-two million, thirty-one thousand, forty-one".