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40255407761329 is a prime number
BaseRepresentation
bin10010010011100101100010…
…10001111010011110110001
312021112101020120200121101101
421021302301101322132301
520234021033341330304
6221341025023004401
711323233350146345
oct1111626121723661
9167471216617341
1040255407761329
111191024a252462
124621926739701
1319600b7b13417
149d252d1b3625
1549c2076858a4
hex249cb147a7b1

40255407761329 has 2 divisors, whose sum is σ = 40255407761330. Its totient is φ = 40255407761328.

The previous prime is 40255407761263. The next prime is 40255407761399. The reversal of 40255407761329 is 92316770455204.

40255407761329 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., 31634460300304 + 8620947461025 = 5624452^2 + 2936145^2 .

It is a cyclic number.

It is not a de Polignac number, because 40255407761329 - 229 = 40254870890417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40255407761329.

It is not a weakly prime, because it can be changed into another prime (40255407761399) 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, 20127703880664 + 20127703880665.

It is an arithmetic number, because the mean of its divisors is an integer number (20127703880665).

Almost surely, 240255407761329 is an apocalyptic number.

It is an amenable number.

40255407761329 is a deficient number, since it is larger than the sum of its proper divisors (1).

40255407761329 is an equidigital number, since it uses as much as digits as its factorization.

40255407761329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 40255407761329 in words is "forty trillion, two hundred fifty-five billion, four hundred seven million, seven hundred sixty-one thousand, three hundred twenty-nine".