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40404442422101 is a prime number
BaseRepresentation
bin10010010111111011001000…
…11100000001101101010101
312022001121221001200210210012
421023331210130001231111
520243441244230001401
6221533313345010005
711340060514646462
oct1113754434015525
9168047831623705
1040404442422101
111196847845099a
12464679a023905
13197117939cc24
149d982a67a669
154a102b62d8bb
hex24bf64701b55

40404442422101 has 2 divisors, whose sum is σ = 40404442422102. Its totient is φ = 40404442422100.

The previous prime is 40404442422079. The next prime is 40404442422131. The reversal of 40404442422101 is 10122424440404.

40404442422101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21640592283025 + 18763850139076 = 4651945^2 + 4331726^2 .

It is a cyclic number.

It is not a de Polignac number, because 40404442422101 - 230 = 40403368680277 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40404442422131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20202221211050 + 20202221211051.

It is an arithmetic number, because the mean of its divisors is an integer number (20202221211051).

Almost surely, 240404442422101 is an apocalyptic number.

It is an amenable number.

40404442422101 is a deficient number, since it is larger than the sum of its proper divisors (1).

40404442422101 is an equidigital number, since it uses as much as digits as its factorization.

40404442422101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 40404442422101 its reverse (10122424440404), we get a palindrome (50526866862505).

The spelling of 40404442422101 in words is "forty trillion, four hundred four billion, four hundred forty-two million, four hundred twenty-two thousand, one hundred one".