Search a number
-
+
34342314137 is a prime number
BaseRepresentation
bin11111111110111101…
…100010000010011001
310021122101010022112122
4133332331202002121
51030313113023022
623435430551025
72324014565555
oct377675420231
9107571108478
1034342314137
11136233829aa
1267a5208475
133313bab551
14193b028865
15d5ee6a742
hex7fef62099

34342314137 has 2 divisors, whose sum is σ = 34342314138. Its totient is φ = 34342314136.

The previous prime is 34342314133. The next prime is 34342314169. The reversal of 34342314137 is 73141324343.

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., 32509532416 + 1832781721 = 180304^2 + 42811^2 .

It is an emirp because it is prime and its reverse (73141324343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34342314137 - 22 = 34342314133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34342314097 and 34342314106.

It is not a weakly prime, because it can be changed into another prime (34342314133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17171157068 + 17171157069.

It is an arithmetic number, because the mean of its divisors is an integer number (17171157069).

Almost surely, 234342314137 is an apocalyptic number.

It is an amenable number.

34342314137 is a deficient number, since it is larger than the sum of its proper divisors (1).

34342314137 is an equidigital number, since it uses as much as digits as its factorization.

34342314137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 35.

The spelling of 34342314137 in words is "thirty-four billion, three hundred forty-two million, three hundred fourteen thousand, one hundred thirty-seven".