Search a number
-
+
242045410256413 is a prime number
BaseRepresentation
bin110111000010001110010110…
…101100101010011000011101
31011202000022111210210221220121
4313002032112230222120131
5223211133000011201123
62214442043150114541
7101661126622604461
oct6702162654523035
91152008453727817
10242045410256413
1170139977a84a35
12231920321aba51
13a509a26cc18ca
1443ab0bb8d24a1
151ceb25371475d
hexdc2396b2a61d

242045410256413 has 2 divisors, whose sum is σ = 242045410256414. Its totient is φ = 242045410256412.

The previous prime is 242045410256389. The next prime is 242045410256471. The reversal of 242045410256413 is 314652014540242.

242045410256413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187191049241284 + 54854361015129 = 13681778^2 + 7406373^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242045410256413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242045410256413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (242045410256483) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121022705128206 + 121022705128207.

It is an arithmetic number, because the mean of its divisors is an integer number (121022705128207).

Almost surely, 2242045410256413 is an apocalyptic number.

It is an amenable number.

242045410256413 is a deficient number, since it is larger than the sum of its proper divisors (1).

242045410256413 is an equidigital number, since it uses as much as digits as its factorization.

242045410256413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 921600, while the sum is 43.

Adding to 242045410256413 its reverse (314652014540242), we get a palindrome (556697424796655).

The spelling of 242045410256413 in words is "two hundred forty-two trillion, forty-five billion, four hundred ten million, two hundred fifty-six thousand, four hundred thirteen".