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34411819009 is a prime number
BaseRepresentation
bin100000000011000110…
…101011000000000001
310021211012220112022011
4200003012223000001
51030433411202014
623450352412521
72325520430641
oct400306530001
9107735815264
1034411819009
1113659635a47
126804547141
1333254058a9
14194635c521
15d660e97c4
hex8031ab001

34411819009 has 2 divisors, whose sum is σ = 34411819010. Its totient is φ = 34411819008.

The previous prime is 34411818893. The next prime is 34411819051. The reversal of 34411819009 is 90091811443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32725895409 + 1685923600 = 180903^2 + 41060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34411819009 is a prime.

It is not a weakly prime, because it can be changed into another prime (34411819069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17205909504 + 17205909505.

It is an arithmetic number, because the mean of its divisors is an integer number (17205909505).

Almost surely, 234411819009 is an apocalyptic number.

It is an amenable number.

34411819009 is a deficient number, since it is larger than the sum of its proper divisors (1).

34411819009 is an equidigital number, since it uses as much as digits as its factorization.

34411819009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 34411819009 in words is "thirty-four billion, four hundred eleven million, eight hundred nineteen thousand, nine".