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42577743041 is a prime number
BaseRepresentation
bin100111101001110101…
…001100110011000001
311001220022112110011222
4213221311030303001
51144144400234131
631320540444425
73035054562431
oct475165146301
9131808473158
1042577743041
111706a031599
128303249715
1340271319c2
1420bca982c1
151192e6c87b
hex9e9d4ccc1

42577743041 has 2 divisors, whose sum is σ = 42577743042. Its totient is φ = 42577743040.

The previous prime is 42577743001. The next prime is 42577743151. The reversal of 42577743041 is 14034777524.

42577743041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33527074816 + 9050668225 = 183104^2 + 95135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42577743041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42577742983 and 42577743001.

It is not a weakly prime, because it can be changed into another prime (42577743001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21288871520 + 21288871521.

It is an arithmetic number, because the mean of its divisors is an integer number (21288871521).

Almost surely, 242577743041 is an apocalyptic number.

It is an amenable number.

42577743041 is a deficient number, since it is larger than the sum of its proper divisors (1).

42577743041 is an equidigital number, since it uses as much as digits as its factorization.

42577743041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 658560, while the sum is 44.

The spelling of 42577743041 in words is "forty-two billion, five hundred seventy-seven million, seven hundred forty-three thousand, forty-one".