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40444400399993 is a prime number
BaseRepresentation
bin10010011001000101100100…
…00111100111011001111001
312022012110001210200101210022
421030202302013213121321
520300120113000244433
6222003522343100225
711343003642111032
oct1114426207473171
9168173053611708
1040444400399993
1111983412708117
12465248ba41675
131974b7682b425
149db73b429a89
154a20b95b4698
hex24c8b21e7679

40444400399993 has 2 divisors, whose sum is σ = 40444400399994. Its totient is φ = 40444400399992.

The previous prime is 40444400399987. The next prime is 40444400400023. The reversal of 40444400399993 is 39999300444404.

40444400399993 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., 39471904632889 + 972495767104 = 6282667^2 + 986152^2 .

It is a cyclic number.

It is not a de Polignac number, because 40444400399993 - 218 = 40444400137849 is a prime.

It is not a weakly prime, because it can be changed into another prime (40444400399983) 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, 20222200199996 + 20222200199997.

It is an arithmetic number, because the mean of its divisors is an integer number (20222200199997).

Almost surely, 240444400399993 is an apocalyptic number.

It is an amenable number.

40444400399993 is a deficient number, since it is larger than the sum of its proper divisors (1).

40444400399993 is an equidigital number, since it uses as much as digits as its factorization.

40444400399993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60466176, while the sum is 62.

The spelling of 40444400399993 in words is "forty trillion, four hundred forty-four billion, four hundred million, three hundred ninety-nine thousand, nine hundred ninety-three".