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40444400137597 is a prime number
BaseRepresentation
bin10010011001000101100100…
…00110100111010101111101
312022012110001210012001211221
421030202302012213111331
520300120112413400342
6222003522333313341
711343003636636031
oct1114426206472575
9168173053161757
1040444400137597
1111983412548a65
12465248b935851
131974b76768b71
149db73b39c1c1
154a20b9561a67
hex24c8b21a757d

40444400137597 has 2 divisors, whose sum is σ = 40444400137598. Its totient is φ = 40444400137596.

The previous prime is 40444400137541. The next prime is 40444400137613. The reversal of 40444400137597 is 79573100444404.

40444400137597 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20873101926681 + 19571298210916 = 4568709^2 + 4423946^2 .

It is a cyclic number.

It is not a de Polignac number, because 40444400137597 - 27 = 40444400137469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40444400137507) 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, 20222200068798 + 20222200068799.

It is an arithmetic number, because the mean of its divisors is an integer number (20222200068799).

Almost surely, 240444400137597 is an apocalyptic number.

It is an amenable number.

40444400137597 is a deficient number, since it is larger than the sum of its proper divisors (1).

40444400137597 is an equidigital number, since it uses as much as digits as its factorization.

40444400137597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 40444400137597 in words is "forty trillion, four hundred forty-four billion, four hundred million, one hundred thirty-seven thousand, five hundred ninety-seven".