Search a number
-
+
138364907041 is a prime number
BaseRepresentation
bin1000000011011100110…
…0001110111000100001
3111020010212222112212201
42000313030032320201
54231332404011131
6143321452053201
712665545206304
oct2006714167041
9436125875781
10138364907041
1153753423649
1222996164201
1310080bc007a
1469a8400b3b
1538ec3de761
hex203730ee21

138364907041 has 2 divisors, whose sum is σ = 138364907042. Its totient is φ = 138364907040.

The previous prime is 138364907003. The next prime is 138364907113. The reversal of 138364907041 is 140709463831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132394099600 + 5970807441 = 363860^2 + 77271^2 .

It is a cyclic number.

It is not a de Polignac number, because 138364907041 - 219 = 138364382753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138364906982 and 138364907000.

It is not a weakly prime, because it can be changed into another prime (138364907741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69182453520 + 69182453521.

It is an arithmetic number, because the mean of its divisors is an integer number (69182453521).

Almost surely, 2138364907041 is an apocalyptic number.

It is an amenable number.

138364907041 is a deficient number, since it is larger than the sum of its proper divisors (1).

138364907041 is an equidigital number, since it uses as much as digits as its factorization.

138364907041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 138364907041 in words is "one hundred thirty-eight billion, three hundred sixty-four million, nine hundred seven thousand, forty-one".