Search a number
-
+
114241187993 is a prime number
BaseRepresentation
bin110101001100101001…
…1100011000010011001
3101220212122221122112212
41222121103203002121
53332431221003433
6124252013044505
711153001035012
oct1523123430231
9356778848485
10114241187993
11444a4199459
121a183186735
13aa080970ba
14575a59c009
152e89610d48
hex1a994e3099

114241187993 has 2 divisors, whose sum is σ = 114241187994. Its totient is φ = 114241187992.

The previous prime is 114241187981. The next prime is 114241188037. The reversal of 114241187993 is 399781142411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113631690649 + 609497344 = 337093^2 + 24688^2 .

It is a cyclic number.

It is not a de Polignac number, because 114241187993 - 218 = 114240925849 is a prime.

It is not a weakly prime, because it can be changed into another prime (114241187923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57120593996 + 57120593997.

It is an arithmetic number, because the mean of its divisors is an integer number (57120593997).

Almost surely, 2114241187993 is an apocalyptic number.

It is an amenable number.

114241187993 is a deficient number, since it is larger than the sum of its proper divisors (1).

114241187993 is an equidigital number, since it uses as much as digits as its factorization.

114241187993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 435456, while the sum is 50.

The spelling of 114241187993 in words is "one hundred fourteen billion, two hundred forty-one million, one hundred eighty-seven thousand, nine hundred ninety-three".