Search a number
-
+
24141322332209 is a prime number
BaseRepresentation
bin1010111110100110101101…
…11100010010100000110001
310011110212222021001112010002
411133103112330102200301
511131012412004112314
6123202212000115345
75041103321026205
oct537232674224061
9104425867045102
1024141322332209
117768306103585
12285a900005b55
1310616948c8244
145d6636680b05
152bce87bb4ade
hex15f4d6f12831

24141322332209 has 2 divisors, whose sum is σ = 24141322332210. Its totient is φ = 24141322332208.

The previous prime is 24141322332167. The next prime is 24141322332221. The reversal of 24141322332209 is 90223322314142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16671093150625 + 7470229181584 = 4083025^2 + 2733172^2 .

It is a cyclic number.

It is not a de Polignac number, because 24141322332209 - 212 = 24141322328113 is a prime.

It is a super-2 number, since 2×241413223322092 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (24141322332229) 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, 12070661166104 + 12070661166105.

It is an arithmetic number, because the mean of its divisors is an integer number (12070661166105).

Almost surely, 224141322332209 is an apocalyptic number.

It is an amenable number.

24141322332209 is a deficient number, since it is larger than the sum of its proper divisors (1).

24141322332209 is an equidigital number, since it uses as much as digits as its factorization.

24141322332209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 24141322332209 in words is "twenty-four trillion, one hundred forty-one billion, three hundred twenty-two million, three hundred thirty-two thousand, two hundred nine".