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42042213394177 is a prime number
BaseRepresentation
bin10011000111100101101110…
…01100011110011100000001
312111212012022010201110210011
421203302313030132130001
521002304423112103202
6225225532020504521
711566310145345613
oct1143626714363401
9174765263643704
1042042213394177
111243a003471787
12487009024b141
131a5c743622489
14a54bd549cdb3
154cd933b96bd7
hex263cb731e701

42042213394177 has 2 divisors, whose sum is σ = 42042213394178. Its totient is φ = 42042213394176.

The previous prime is 42042213394133. The next prime is 42042213394199. The reversal of 42042213394177 is 77149331224024.

42042213394177 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., 35751502313536 + 6290711080641 = 5979256^2 + 2508129^2 .

It is a cyclic number.

It is not a de Polignac number, because 42042213394177 - 223 = 42042205005569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42042213394177.

It is not a weakly prime, because it can be changed into another prime (42042213398177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21021106697088 + 21021106697089.

It is an arithmetic number, because the mean of its divisors is an integer number (21021106697089).

Almost surely, 242042213394177 is an apocalyptic number.

It is an amenable number.

42042213394177 is a deficient number, since it is larger than the sum of its proper divisors (1).

42042213394177 is an equidigital number, since it uses as much as digits as its factorization.

42042213394177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 42042213394177 in words is "forty-two trillion, forty-two billion, two hundred thirteen million, three hundred ninety-four thousand, one hundred seventy-seven".