Search a number
-
+
114153845837 is a prime number
BaseRepresentation
bin110101001010000011…
…0010111010001001101
3101220122120121012122012
41222110012113101031
53332241341031322
6124235213031005
711150560452113
oct1522406272115
9356576535565
10114153845837
1144459962a59
121a159a85465
13a9c2c65b55
14574cb43ab3
152e81b0bae2
hex1a9419744d

114153845837 has 2 divisors, whose sum is σ = 114153845838. Its totient is φ = 114153845836.

The previous prime is 114153845833. The next prime is 114153845881. The reversal of 114153845837 is 738548351411.

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., 95919664681 + 18234181156 = 309709^2 + 135034^2 .

It is a cyclic number.

It is not a de Polignac number, because 114153845837 - 22 = 114153845833 is a prime.

It is a super-2 number, since 2×1141538458372 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114153845833) 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, 57076922918 + 57076922919.

It is an arithmetic number, because the mean of its divisors is an integer number (57076922919).

Almost surely, 2114153845837 is an apocalyptic number.

It is an amenable number.

114153845837 is a deficient number, since it is larger than the sum of its proper divisors (1).

114153845837 is an equidigital number, since it uses as much as digits as its factorization.

114153845837 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1612800, while the sum is 50.

The spelling of 114153845837 in words is "one hundred fourteen billion, one hundred fifty-three million, eight hundred forty-five thousand, eight hundred thirty-seven".