Search a number
-
+
114094307489 is a prime number
BaseRepresentation
bin110101001000010001…
…1001111100010100001
3101220111102120100101012
41222100203033202201
53332131120314424
6124225244550305
711146235416661
oct1522043174241
9356442510335
10114094307489
1144429297a08
121a141b52395
13a9b381b066
145744c861a1
152e7b79ab0e
hex1a908cf8a1

114094307489 has 2 divisors, whose sum is σ = 114094307490. Its totient is φ = 114094307488.

The previous prime is 114094307477. The next prime is 114094307491. The reversal of 114094307489 is 984703490411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75900250000 + 38194057489 = 275500^2 + 195433^2 .

It is a cyclic number.

It is not a de Polignac number, because 114094307489 - 28 = 114094307233 is a prime.

It is a super-3 number, since 3×1140943074893 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 114094307491, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (114094307189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57047153744 + 57047153745.

It is an arithmetic number, because the mean of its divisors is an integer number (57047153745).

Almost surely, 2114094307489 is an apocalyptic number.

It is an amenable number.

114094307489 is a deficient number, since it is larger than the sum of its proper divisors (1).

114094307489 is an equidigital number, since it uses as much as digits as its factorization.

114094307489 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 114094307489 in words is "one hundred fourteen billion, ninety-four million, three hundred seven thousand, four hundred eighty-nine".