Search a number
-
+
31420040417 is a prime number
BaseRepresentation
bin11101010000110001…
…111100010011100001
310000002201100102121122
4131100301330103201
51003322012243132
622233440302025
72161421636243
oct352061742341
9100081312548
1031420040417
1112363880457
12610a611915
132c6963c4bc
141740c96093
15c3d62b912
hex750c7c4e1

31420040417 has 2 divisors, whose sum is σ = 31420040418. Its totient is φ = 31420040416.

The previous prime is 31420040413. The next prime is 31420040419. The reversal of 31420040417 is 71404002413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17310401761 + 14109638656 = 131569^2 + 118784^2 .

It is a cyclic number.

It is not a de Polignac number, because 31420040417 - 22 = 31420040413 is a prime.

Together with 31420040419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31420040413) 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, 15710020208 + 15710020209.

It is an arithmetic number, because the mean of its divisors is an integer number (15710020209).

Almost surely, 231420040417 is an apocalyptic number.

It is an amenable number.

31420040417 is a deficient number, since it is larger than the sum of its proper divisors (1).

31420040417 is an equidigital number, since it uses as much as digits as its factorization.

31420040417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 26.

The spelling of 31420040417 in words is "thirty-one billion, four hundred twenty million, forty thousand, four hundred seventeen".