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41540335181 is a prime number
BaseRepresentation
bin100110101011111111…
…110011011001001101
310222020000110200010122
4212223333303121031
51140033311211211
631030001314325
73000260010632
oct465377633115
9128200420118
1041540335181
1116687488724
1280739359a5
133bc0227ab7
142020db0189
151131d4c6db
hex9abff364d

41540335181 has 2 divisors, whose sum is σ = 41540335182. Its totient is φ = 41540335180.

The previous prime is 41540335163. The next prime is 41540335211. The reversal of 41540335181 is 18153304514.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40749881956 + 790453225 = 201866^2 + 28115^2 .

It is a cyclic number.

It is not a de Polignac number, because 41540335181 - 226 = 41473226317 is a prime.

It is a super-3 number, since 3×415403351813 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41540334181) 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, 20770167590 + 20770167591.

It is an arithmetic number, because the mean of its divisors is an integer number (20770167591).

Almost surely, 241540335181 is an apocalyptic number.

It is an amenable number.

41540335181 is a deficient number, since it is larger than the sum of its proper divisors (1).

41540335181 is an equidigital number, since it uses as much as digits as its factorization.

41540335181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 41540335181 its reverse (18153304514), we get a palindrome (59693639695).

The spelling of 41540335181 in words is "forty-one billion, five hundred forty million, three hundred thirty-five thousand, one hundred eighty-one".