Search a number
-
+
40414846817 is a prime number
BaseRepresentation
bin100101101000111010…
…011001111101100001
310212022120122221100102
4211220322121331201
51130232200044232
630322154232145
72630342346512
oct455072317541
9125276587312
1040414846817
111615a144654
1279baa25655
133a70cc1857
141d55718a09
1510b812e662
hex968e99f61

40414846817 has 2 divisors, whose sum is σ = 40414846818. Its totient is φ = 40414846816.

The previous prime is 40414846807. The next prime is 40414846859. The reversal of 40414846817 is 71864841404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26400075361 + 14014771456 = 162481^2 + 118384^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40414846817 is a prime.

It is not a weakly prime, because it can be changed into another prime (40414846807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20207423408 + 20207423409.

It is an arithmetic number, because the mean of its divisors is an integer number (20207423409).

Almost surely, 240414846817 is an apocalyptic number.

It is an amenable number.

40414846817 is a deficient number, since it is larger than the sum of its proper divisors (1).

40414846817 is an equidigital number, since it uses as much as digits as its factorization.

40414846817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 688128, while the sum is 47.

The spelling of 40414846817 in words is "forty billion, four hundred fourteen million, eight hundred forty-six thousand, eight hundred seventeen".