Search a number
-
+
242125729 is a prime number
BaseRepresentation
bin11100110111010…
…00101110100001
3121212121021001121
432123220232201
5443441010404
640005332241
76000014626
oct1633505641
9555537047
10242125729
1111474570a
1269107081
133b216581
142422a34d
15163cae54
hexe6e8ba1

242125729 has 2 divisors, whose sum is σ = 242125730. Its totient is φ = 242125728.

The previous prime is 242125703. The next prime is 242125753. The reversal of 242125729 is 927521242.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 226562704 + 15563025 = 15052^2 + 3945^2 .

It is a cyclic number.

It is not a de Polignac number, because 242125729 - 217 = 241994657 is a prime.

It is equal to p13271785 and since 242125729 and 13271785 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 242125694 and 242125703.

It is not a weakly prime, because it can be changed into another prime (242125789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121062864 + 121062865.

It is an arithmetic number, because the mean of its divisors is an integer number (121062865).

Almost surely, 2242125729 is an apocalyptic number.

It is an amenable number.

242125729 is a deficient number, since it is larger than the sum of its proper divisors (1).

242125729 is an equidigital number, since it uses as much as digits as its factorization.

242125729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 34.

The square root of 242125729 is about 15560.3897444762. The cubic root of 242125729 is about 623.2758702561.

The spelling of 242125729 in words is "two hundred forty-two million, one hundred twenty-five thousand, seven hundred twenty-nine".