Search a number
-
+
414701244137 is a prime number
BaseRepresentation
bin1100000100011100001…
…11101100111011101001
31110122102020112221200102
412002032013230323221
523243302004303022
6514302222515145
741650453262045
oct6021607547351
91418366487612
10414701244137
1114a96804a744
1268456735ab5
133014c30397b
1416100859025
15abc2397a92
hex608e1ecee9

414701244137 has 2 divisors, whose sum is σ = 414701244138. Its totient is φ = 414701244136.

The previous prime is 414701244077. The next prime is 414701244163. The reversal of 414701244137 is 731442107414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 233930864896 + 180770379241 = 483664^2 + 425171^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414701244137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414701244137.

It is not a weakly prime, because it can be changed into another prime (414701247137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207350622068 + 207350622069.

It is an arithmetic number, because the mean of its divisors is an integer number (207350622069).

Almost surely, 2414701244137 is an apocalyptic number.

It is an amenable number.

414701244137 is a deficient number, since it is larger than the sum of its proper divisors (1).

414701244137 is an equidigital number, since it uses as much as digits as its factorization.

414701244137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 414701244137 in words is "four hundred fourteen billion, seven hundred one million, two hundred forty-four thousand, one hundred thirty-seven".