Search a number
-
+
42109138177 is a prime number
BaseRepresentation
bin100111001101111001…
…100111010100000001
311000200122202212011021
4213031321213110001
51142214414410202
631202240545441
73020334524461
oct471571472401
9130618685137
1042109138177
1116949568847
1281b2322281
133c8101c912
142076755ba1
151166c56a37
hex9cde67501

42109138177 has 2 divisors, whose sum is σ = 42109138178. Its totient is φ = 42109138176.

The previous prime is 42109138153. The next prime is 42109138187. The reversal of 42109138177 is 77183190124.

42109138177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23174277361 + 18934860816 = 152231^2 + 137604^2 .

It is a cyclic number.

It is not a de Polignac number, because 42109138177 - 219 = 42108613889 is a prime.

It is not a weakly prime, because it can be changed into another prime (42109138187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21054569088 + 21054569089.

It is an arithmetic number, because the mean of its divisors is an integer number (21054569089).

Almost surely, 242109138177 is an apocalyptic number.

It is an amenable number.

42109138177 is a deficient number, since it is larger than the sum of its proper divisors (1).

42109138177 is an equidigital number, since it uses as much as digits as its factorization.

42109138177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 43.

The spelling of 42109138177 in words is "forty-two billion, one hundred nine million, one hundred thirty-eight thousand, one hundred seventy-seven".