Search a number
-
+
40320412004317 is a prime number
BaseRepresentation
bin10010010101011110100111…
…10101011010111111011101
312021202121000211122021222111
421022233103311122333131
520241102200433114232
6221430535213314021
711331024253122634
oct1112572365327735
9167677024567874
1040320412004317
1111935877475325
124632448495911
131966277256523
149d573851051b
1549dc5e3cc047
hex24abd3d5afdd

40320412004317 has 2 divisors, whose sum is σ = 40320412004318. Its totient is φ = 40320412004316.

The previous prime is 40320412004251. The next prime is 40320412004359. The reversal of 40320412004317 is 71340021402304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40214038834116 + 106373170201 = 6341454^2 + 326149^2 .

It is a cyclic number.

It is not a de Polignac number, because 40320412004317 - 231 = 40318264520669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40320412044317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20160206002158 + 20160206002159.

It is an arithmetic number, because the mean of its divisors is an integer number (20160206002159).

Almost surely, 240320412004317 is an apocalyptic number.

It is an amenable number.

40320412004317 is a deficient number, since it is larger than the sum of its proper divisors (1).

40320412004317 is an equidigital number, since it uses as much as digits as its factorization.

40320412004317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 40320412004317 in words is "forty trillion, three hundred twenty billion, four hundred twelve million, four thousand, three hundred seventeen".