Search a number
-
+
418039133713 is a prime number
BaseRepresentation
bin1100001010101010001…
…00101111011000010001
31110222000212101022101021
412011111010233120101
523322121004234323
6520013341235441
742126254002405
oct6052504573021
91428025338337
10418039133713
11151320213573
1269028562b81
13305619c1066
1416339c99105
15ad1a43205d
hex615512f611

418039133713 has 2 divisors, whose sum is σ = 418039133714. Its totient is φ = 418039133712.

The previous prime is 418039133669. The next prime is 418039133719. The reversal of 418039133713 is 317331930814.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214343072784 + 203696060929 = 462972^2 + 451327^2 .

It is a cyclic number.

It is not a de Polignac number, because 418039133713 - 221 = 418037036561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 418039133713.

It is not a weakly prime, because it can be changed into another prime (418039133719) 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, 209019566856 + 209019566857.

It is an arithmetic number, because the mean of its divisors is an integer number (209019566857).

Almost surely, 2418039133713 is an apocalyptic number.

It is an amenable number.

418039133713 is a deficient number, since it is larger than the sum of its proper divisors (1).

418039133713 is an equidigital number, since it uses as much as digits as its factorization.

418039133713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 418039133713 in words is "four hundred eighteen billion, thirty-nine million, one hundred thirty-three thousand, seven hundred thirteen".