Search a number
-
+
114807167929 is a prime number
BaseRepresentation
bin110101011101100001…
…0100101101110111001
3101222100002221102001201
41222323002211232321
53340111113333204
6124424112014201
711203012553206
oct1527302455671
9358302842051
10114807167929
1144764720573
121a300831361
13aa98410c7c
1457b180acad
152ebe15d9a4
hex1abb0a5bb9

114807167929 has 2 divisors, whose sum is σ = 114807167930. Its totient is φ = 114807167928.

The previous prime is 114807167927. The next prime is 114807167983. The reversal of 114807167929 is 929761708411.

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., 71916757929 + 42890410000 = 268173^2 + 207100^2 .

It is a cyclic number.

It is not a de Polignac number, because 114807167929 - 21 = 114807167927 is a prime.

It is a super-2 number, since 2×1148071679292 (a number of 23 digits) contains 22 as substring.

Together with 114807167927, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 114807167929.

It is not a weakly prime, because it can be changed into another prime (114807167921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57403583964 + 57403583965.

It is an arithmetic number, because the mean of its divisors is an integer number (57403583965).

Almost surely, 2114807167929 is an apocalyptic number.

It is an amenable number.

114807167929 is a deficient number, since it is larger than the sum of its proper divisors (1).

114807167929 is an equidigital number, since it uses as much as digits as its factorization.

114807167929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 55.

The spelling of 114807167929 in words is "one hundred fourteen billion, eight hundred seven million, one hundred sixty-seven thousand, nine hundred twenty-nine".