Search a number
-
+
42404224217 is a prime number
BaseRepresentation
bin100111011111011111…
…010001110011011001
311001110020000210002212
4213133133101303121
51143320440133332
631251421404505
73030546646565
oct473737216331
9131406023085
1042404224217
1116a90096303
128275109735
133cca1b9b44
1420a3a0a6a5
151182ae48b2
hex9df7d1cd9

42404224217 has 2 divisors, whose sum is σ = 42404224218. Its totient is φ = 42404224216.

The previous prime is 42404224199. The next prime is 42404224253. The reversal of 42404224217 is 71242240424.

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., 24057250816 + 18346973401 = 155104^2 + 135451^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42404224217 is a prime.

It is not a weakly prime, because it can be changed into another prime (42404224267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21202112108 + 21202112109.

It is an arithmetic number, because the mean of its divisors is an integer number (21202112109).

Almost surely, 242404224217 is an apocalyptic number.

It is an amenable number.

42404224217 is a deficient number, since it is larger than the sum of its proper divisors (1).

42404224217 is an equidigital number, since it uses as much as digits as its factorization.

42404224217 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 32.

The spelling of 42404224217 in words is "forty-two billion, four hundred four million, two hundred twenty-four thousand, two hundred seventeen".