Search a number
-
+
40749567441097 is a prime number
BaseRepresentation
bin10010100001111101111110…
…11111011111100011001001
312100021121202102022022102011
421100332333133133203021
520320120103231103342
6222400032015535521
711404026161134234
oct1120767737374311
9170247672268364
1040749567441097
1111a90881532919
1246a165782a5a1
13199788aca31b8
14a0c40a8b241b
154a9eca6c3717
hex250fbf7df8c9

40749567441097 has 2 divisors, whose sum is σ = 40749567441098. Its totient is φ = 40749567441096.

The previous prime is 40749567441083. The next prime is 40749567441119. The reversal of 40749567441097 is 79014476594704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26442745347001 + 14306822094096 = 5142251^2 + 3782436^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40749567441097 is a prime.

It is not a weakly prime, because it can be changed into another prime (40749567441007) 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, 20374783720548 + 20374783720549.

It is an arithmetic number, because the mean of its divisors is an integer number (20374783720549).

Almost surely, 240749567441097 is an apocalyptic number.

It is an amenable number.

40749567441097 is a deficient number, since it is larger than the sum of its proper divisors (1).

40749567441097 is an equidigital number, since it uses as much as digits as its factorization.

40749567441097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 213373440, while the sum is 67.

The spelling of 40749567441097 in words is "forty trillion, seven hundred forty-nine billion, five hundred sixty-seven million, four hundred forty-one thousand, ninety-seven".