Search a number
-
+
42424008217 is a prime number
BaseRepresentation
bin100111100000101010…
…101111111000011001
311001111121020220122121
4213200222233320121
51143341021230332
631253405421241
73031210056103
oct474052577031
9131447226577
1042424008217
1116aa0279318
12827b86a821
134001325b56
1420a64ba573
151184701797
hex9e0aafe19

42424008217 has 2 divisors, whose sum is σ = 42424008218. Its totient is φ = 42424008216.

The previous prime is 42424008149. The next prime is 42424008223. The reversal of 42424008217 is 71280042424.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27946143241 + 14477864976 = 167171^2 + 120324^2 .

It is a cyclic number.

It is not a de Polignac number, because 42424008217 - 211 = 42424006169 is a prime.

It is not a weakly prime, because it can be changed into another prime (42424008257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21212004108 + 21212004109.

It is an arithmetic number, because the mean of its divisors is an integer number (21212004109).

Almost surely, 242424008217 is an apocalyptic number.

It is an amenable number.

42424008217 is a deficient number, since it is larger than the sum of its proper divisors (1).

42424008217 is an equidigital number, since it uses as much as digits as its factorization.

42424008217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28672, while the sum is 34.

The spelling of 42424008217 in words is "forty-two billion, four hundred twenty-four million, eight thousand, two hundred seventeen".