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40444400137649 is a prime number
BaseRepresentation
bin10010011001000101100100…
…00110100111010110110001
312022012110001210012001220212
421030202302012213112301
520300120112413401044
6222003522333313505
711343003636636134
oct1114426206472661
9168173053161825
1040444400137649
1111983412549002
12465248b935895
131974b76768bb1
149db73b39c21b
154a20b9561a9e
hex24c8b21a75b1

40444400137649 has 2 divisors, whose sum is σ = 40444400137650. Its totient is φ = 40444400137648.

The previous prime is 40444400137613. The next prime is 40444400137679. The reversal of 40444400137649 is 94673100444404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29065652040049 + 11378748097600 = 5391257^2 + 3373240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40444400137649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40444400137597 and 40444400137606.

It is not a weakly prime, because it can be changed into another prime (40444400137679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20222200068824 + 20222200068825.

It is an arithmetic number, because the mean of its divisors is an integer number (20222200068825).

Almost surely, 240444400137649 is an apocalyptic number.

It is an amenable number.

40444400137649 is a deficient number, since it is larger than the sum of its proper divisors (1).

40444400137649 is an equidigital number, since it uses as much as digits as its factorization.

40444400137649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4644864, while the sum is 50.

The spelling of 40444400137649 in words is "forty trillion, four hundred forty-four billion, four hundred million, one hundred thirty-seven thousand, six hundred forty-nine".