Search a number
-
+
8004244117 is a prime number
BaseRepresentation
bin1110111010001011…
…10001001010010101
3202122211101201201211
413131011301022111
5112343041302432
63402130421421
7402231644452
oct73505611225
922584351654
108004244117
113438207091
121674731871
139a739ab2c
1455d090829
1531ca87d47
hex1dd171295

8004244117 has 2 divisors, whose sum is σ = 8004244118. Its totient is φ = 8004244116.

The previous prime is 8004243991. The next prime is 8004244121. The reversal of 8004244117 is 7114424008.

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., 8004165156 + 78961 = 89466^2 + 281^2 .

It is a cyclic number.

It is not a de Polignac number, because 8004244117 - 211 = 8004242069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8004244187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4002122058 + 4002122059.

It is an arithmetic number, because the mean of its divisors is an integer number (4002122059).

Almost surely, 28004244117 is an apocalyptic number.

It is an amenable number.

8004244117 is a deficient number, since it is larger than the sum of its proper divisors (1).

8004244117 is an equidigital number, since it uses as much as digits as its factorization.

8004244117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 8004244117 is about 89466.4412894578. The cubic root of 8004244117 is about 2000.3536138916.

The spelling of 8004244117 in words is "eight billion, four million, two hundred forty-four thousand, one hundred seventeen".