Search a number
-
+
114654414401 is a prime number
BaseRepresentation
bin110101011000111101…
…1111000011001000001
3101221221110111201121122
41222301323320121001
53334303012230101
6124401014002025
711166146304512
oct1526173703101
9357843451548
10114654414401
114469647858a
121a279646315
13aa72889977
145799406a09
152eb0a3851b
hex1ab1ef8641

114654414401 has 2 divisors, whose sum is σ = 114654414402. Its totient is φ = 114654414400.

The previous prime is 114654414377. The next prime is 114654414431. The reversal of 114654414401 is 104414456411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94433290000 + 20221124401 = 307300^2 + 142201^2 .

It is an emirp because it is prime and its reverse (104414456411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114654414401 - 214 = 114654398017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (114654414431) 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, 57327207200 + 57327207201.

It is an arithmetic number, because the mean of its divisors is an integer number (57327207201).

Almost surely, 2114654414401 is an apocalyptic number.

It is an amenable number.

114654414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

114654414401 is an equidigital number, since it uses as much as digits as its factorization.

114654414401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 114654414401 in words is "one hundred fourteen billion, six hundred fifty-four million, four hundred fourteen thousand, four hundred one".