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40404442417 is a prime number
BaseRepresentation
bin100101101000010010…
…101101110100110001
310212021212002100012021
4211220102231310301
51130222014124132
630321143231441
72630155044133
oct455022556461
9125255070167
1040404442417
1116154288679
1279b7448581
133a6bababc1
141d541ab053
1510b7276997
hex9684add31

40404442417 has 2 divisors, whose sum is σ = 40404442418. Its totient is φ = 40404442416.

The previous prime is 40404442373. The next prime is 40404442427. The reversal of 40404442417 is 71424440404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25326812736 + 15077629681 = 159144^2 + 122791^2 .

It is a cyclic number.

It is not a de Polignac number, because 40404442417 - 27 = 40404442289 is a prime.

It is not a weakly prime, because it can be changed into another prime (40404442427) 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, 20202221208 + 20202221209.

It is an arithmetic number, because the mean of its divisors is an integer number (20202221209).

Almost surely, 240404442417 is an apocalyptic number.

It is an amenable number.

40404442417 is a deficient number, since it is larger than the sum of its proper divisors (1).

40404442417 is an equidigital number, since it uses as much as digits as its factorization.

40404442417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57344, while the sum is 34.

The spelling of 40404442417 in words is "forty billion, four hundred four million, four hundred forty-two thousand, four hundred seventeen".