Search a number
-
+
34124044081 is a prime number
BaseRepresentation
bin11111110001111100…
…111001011100110001
310021002011102001022111
4133301330321130301
51024341223402311
623402032405321
72315424405661
oct376174713461
9107064361274
1034124044081
1113521151426
1267440a6841
1332aa8c837a
14191a04c1a1
15d4ac02d21
hex7f1f39731

34124044081 has 2 divisors, whose sum is σ = 34124044082. Its totient is φ = 34124044080.

The previous prime is 34124044039. The next prime is 34124044151. The reversal of 34124044081 is 18044042143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25740993600 + 8383050481 = 160440^2 + 91559^2 .

It is an emirp because it is prime and its reverse (18044042143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34124044081 - 27 = 34124043953 is a prime.

It is a super-2 number, since 2×341240440812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34124044021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17062022040 + 17062022041.

It is an arithmetic number, because the mean of its divisors is an integer number (17062022041).

Almost surely, 234124044081 is an apocalyptic number.

It is an amenable number.

34124044081 is a deficient number, since it is larger than the sum of its proper divisors (1).

34124044081 is an equidigital number, since it uses as much as digits as its factorization.

34124044081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 34124044081 in words is "thirty-four billion, one hundred twenty-four million, forty-four thousand, eighty-one".