Search a number
-
+
431163312032393 is a prime number
BaseRepresentation
bin110001000001001000000100…
…0000011011100101010001001
32002112121210212112210010102022
41202002100020003130222021
5423003134430340014033
64125001405140214225
7156550343545422113
oct14202201003345211
92075553775703368
10431163312032393
11115422374268756
124043640899a375
13156776ab428415
1478685b67803b3
1534ca831c89098
hex18824080dca89

431163312032393 has 2 divisors, whose sum is σ = 431163312032394. Its totient is φ = 431163312032392.

The previous prime is 431163312032363. The next prime is 431163312032423. The reversal of 431163312032393 is 393230213361134.

It is a balanced prime because it is at equal distance from previous prime (431163312032363) and next prime (431163312032423).

It can be written as a sum of positive squares in only one way, i.e., 349935686338624 + 81227625693769 = 18706568^2 + 9012637^2 .

It is a cyclic number.

It is not a de Polignac number, because 431163312032393 - 26 = 431163312032329 is a prime.

It is not a weakly prime, because it can be changed into another prime (431163312032363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215581656016196 + 215581656016197.

It is an arithmetic number, because the mean of its divisors is an integer number (215581656016197).

Almost surely, 2431163312032393 is an apocalyptic number.

It is an amenable number.

431163312032393 is a deficient number, since it is larger than the sum of its proper divisors (1).

431163312032393 is an equidigital number, since it uses as much as digits as its factorization.

431163312032393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 629856, while the sum is 44.

The spelling of 431163312032393 in words is "four hundred thirty-one trillion, one hundred sixty-three billion, three hundred twelve million, thirty-two thousand, three hundred ninety-three".