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34041540041 is a prime number
BaseRepresentation
bin11111101101000010…
…001010110111001001
310020212102011102001022
4133231002022313021
51024204113240131
623345524202225
72313403213265
oct375502126711
9106772142038
1034041540041
111348961a973
126720539375
13329679c302
14190d0d30a5
15d4385737b
hex7ed08adc9

34041540041 has 2 divisors, whose sum is σ = 34041540042. Its totient is φ = 34041540040.

The previous prime is 34041540037. The next prime is 34041540047. The reversal of 34041540041 is 14004514043.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34003360000 + 38180041 = 184400^2 + 6179^2 .

It is a cyclic number.

It is not a de Polignac number, because 34041540041 - 22 = 34041540037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34041540047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17020770020 + 17020770021.

It is an arithmetic number, because the mean of its divisors is an integer number (17020770021).

Almost surely, 234041540041 is an apocalyptic number.

It is an amenable number.

34041540041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34041540041 is an equidigital number, since it uses as much as digits as its factorization.

34041540041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 34041540041 in words is "thirty-four billion, forty-one million, five hundred forty thousand, forty-one".