Search a number
-
+
135144442373 is a prime number
BaseRepresentation
bin111110111011100111…
…1001000101000000101
3110220211110002222212112
41331313033020220011
54203233434123443
6142030130230405
712523001543423
oct1756717105005
9426743088775
10135144442373
11523505728a6
1222237725405
13c989937785
14678080a113
1537ae7ecb18
hex1f773c8a05

135144442373 has 2 divisors, whose sum is σ = 135144442374. Its totient is φ = 135144442372.

The previous prime is 135144442339. The next prime is 135144442417. The reversal of 135144442373 is 373244441531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102795901924 + 32348540449 = 320618^2 + 179857^2 .

It is a cyclic number.

It is not a de Polignac number, because 135144442373 - 28 = 135144442117 is a prime.

It is a super-2 number, since 2×1351444423732 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135144442373.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135144442333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67572221186 + 67572221187.

It is an arithmetic number, because the mean of its divisors is an integer number (67572221187).

Almost surely, 2135144442373 is an apocalyptic number.

It is an amenable number.

135144442373 is a deficient number, since it is larger than the sum of its proper divisors (1).

135144442373 is an equidigital number, since it uses as much as digits as its factorization.

135144442373 is an evil number, because the sum of its binary digits is even.

The product of its digits is 483840, while the sum is 41.

The spelling of 135144442373 in words is "one hundred thirty-five billion, one hundred forty-four million, four hundred forty-two thousand, three hundred seventy-three".