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40288904196757 is a prime number
BaseRepresentation
bin10010010100100011111011…
…10100101011001010010101
312021122120201000010211110221
421022101331310223022111
520240043133433244012
6221404244515514341
711325530414150446
oct1112217564531225
9167576630124427
1040288904196757
11119234790a9147
1246283145b89b1
1319632c5697508
149d3dc9b2d2cd
1549d018215507
hex24a47dd2b295

40288904196757 has 2 divisors, whose sum is σ = 40288904196758. Its totient is φ = 40288904196756.

The previous prime is 40288904196719. The next prime is 40288904196763. The reversal of 40288904196757 is 75769140988204.

40288904196757 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., 32167851932241 + 8121052264516 = 5671671^2 + 2849746^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40288904196757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40288904196797) 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, 20144452098378 + 20144452098379.

It is an arithmetic number, because the mean of its divisors is an integer number (20144452098379).

Almost surely, 240288904196757 is an apocalyptic number.

It is an amenable number.

40288904196757 is a deficient number, since it is larger than the sum of its proper divisors (1).

40288904196757 is an equidigital number, since it uses as much as digits as its factorization.

40288904196757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243855360, while the sum is 70.

The spelling of 40288904196757 in words is "forty trillion, two hundred eighty-eight billion, nine hundred four million, one hundred ninety-six thousand, seven hundred fifty-seven".