Search a number
-
+
24114130319 is a prime number
BaseRepresentation
bin10110011101010100…
…000110110110001111
32022020112222202001202
4112131110012312033
5343341204132234
615024453300115
71512366503636
oct263524066617
968215882052
1024114130319
11a254886024
12480b93463b
132373b49686
14124a86851d
1596203777e
hex59d506d8f

24114130319 has 2 divisors, whose sum is σ = 24114130320. Its totient is φ = 24114130318.

The previous prime is 24114130253. The next prime is 24114130367. The reversal of 24114130319 is 91303141142.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 24114130319 - 220 = 24113081743 is a prime.

It is a super-2 number, since 2×241141303192 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24114130291 and 24114130300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (24114130399) 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, 12057065159 + 12057065160.

It is an arithmetic number, because the mean of its divisors is an integer number (12057065160).

Almost surely, 224114130319 is an apocalyptic number.

24114130319 is a deficient number, since it is larger than the sum of its proper divisors (1).

24114130319 is an equidigital number, since it uses as much as digits as its factorization.

24114130319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 24114130319 in words is "twenty-four billion, one hundred fourteen million, one hundred thirty thousand, three hundred nineteen".