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41145841729 is a prime number
BaseRepresentation
bin100110010100011110…
…111011100001000001
310221012112011022212001
4212110132323201001
51133231313413404
630522510104001
72654426612146
oct462436734101
9127175138761
1041145841729
11164a4833983
127b837ab001
133b59593a15
141dc48403cd
15110c3c57a4
hex9947bb841

41145841729 has 2 divisors, whose sum is σ = 41145841730. Its totient is φ = 41145841728.

The previous prime is 41145841721. The next prime is 41145841733. The reversal of 41145841729 is 92714854114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31880816704 + 9265025025 = 178552^2 + 96255^2 .

It is a cyclic number.

It is not a de Polignac number, because 41145841729 - 23 = 41145841721 is a prime.

It is not a weakly prime, because it can be changed into another prime (41145841721) 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, 20572920864 + 20572920865.

It is an arithmetic number, because the mean of its divisors is an integer number (20572920865).

Almost surely, 241145841729 is an apocalyptic number.

It is an amenable number.

41145841729 is a deficient number, since it is larger than the sum of its proper divisors (1).

41145841729 is an equidigital number, since it uses as much as digits as its factorization.

41145841729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 322560, while the sum is 46.

The spelling of 41145841729 in words is "forty-one billion, one hundred forty-five million, eight hundred forty-one thousand, seven hundred twenty-nine".