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34072335841 is a prime number
BaseRepresentation
bin11111101110110111…
…101001010111100001
310020221120002222221111
4133232313221113201
51024240004221331
623352544223321
72314226035045
oct375667512741
9106846088844
1034072335841
11134a4a44245
12672a90ab41
13329cc9258b
14191322c025
15d463dbdb1
hex7eede95e1

34072335841 has 2 divisors, whose sum is σ = 34072335842. Its totient is φ = 34072335840.

The previous prime is 34072335823. The next prime is 34072335851. The reversal of 34072335841 is 14853327043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32636229025 + 1436106816 = 180655^2 + 37896^2 .

It is an emirp because it is prime and its reverse (14853327043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34072335841 - 213 = 34072327649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34072335794 and 34072335803.

It is not a weakly prime, because it can be changed into another prime (34072335851) 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, 17036167920 + 17036167921.

It is an arithmetic number, because the mean of its divisors is an integer number (17036167921).

Almost surely, 234072335841 is an apocalyptic number.

It is an amenable number.

34072335841 is a deficient number, since it is larger than the sum of its proper divisors (1).

34072335841 is an equidigital number, since it uses as much as digits as its factorization.

34072335841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 34072335841 in words is "thirty-four billion, seventy-two million, three hundred thirty-five thousand, eight hundred forty-one".