Search a number
-
+
138000388789 is a prime number
BaseRepresentation
bin1000000010000101110…
…1101101001010110101
3111012012111002002211201
42000201131231022311
54230111044420124
6143221351132501
712653530644004
oct2004135551265
9435174062751
10138000388789
115358669269a
12228b4074131
13100235228b3
146971c34c3b
1538ca3d9144
hex202176d2b5

138000388789 has 2 divisors, whose sum is σ = 138000388790. Its totient is φ = 138000388788.

The previous prime is 138000388739. The next prime is 138000388891. The reversal of 138000388789 is 987883000831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136499213764 + 1501175025 = 369458^2 + 38745^2 .

It is a cyclic number.

It is not a de Polignac number, because 138000388789 - 27 = 138000388661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138000388739) 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, 69000194394 + 69000194395.

It is an arithmetic number, because the mean of its divisors is an integer number (69000194395).

Almost surely, 2138000388789 is an apocalyptic number.

It is an amenable number.

138000388789 is a deficient number, since it is larger than the sum of its proper divisors (1).

138000388789 is an equidigital number, since it uses as much as digits as its factorization.

138000388789 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2322432, while the sum is 55.

The spelling of 138000388789 in words is "one hundred thirty-eight billion, three hundred eighty-eight thousand, seven hundred eighty-nine".