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41178180041 is a prime number
BaseRepresentation
bin100110010110011010…
…010010100111001001
310221021210000021200022
4212112122102213021
51133313103230131
630530023150225
72655301520015
oct462632224711
9127253007608
1041178180041
1116511011159
127b925a5375
133b631a710b
141dc8c5b545
15111016237b
hex9966929c9

41178180041 has 2 divisors, whose sum is σ = 41178180042. Its totient is φ = 41178180040.

The previous prime is 41178180037. The next prime is 41178180083. The reversal of 41178180041 is 14008187114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30366547600 + 10811632441 = 174260^2 + 103979^2 .

It is a cyclic number.

It is not a de Polignac number, because 41178180041 - 22 = 41178180037 is a prime.

It is a super-2 number, since 2×411781800412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41178179983 and 41178180010.

It is not a weakly prime, because it can be changed into another prime (41178180031) 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, 20589090020 + 20589090021.

It is an arithmetic number, because the mean of its divisors is an integer number (20589090021).

Almost surely, 241178180041 is an apocalyptic number.

It is an amenable number.

41178180041 is a deficient number, since it is larger than the sum of its proper divisors (1).

41178180041 is an equidigital number, since it uses as much as digits as its factorization.

41178180041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7168, while the sum is 35.

The spelling of 41178180041 in words is "forty-one billion, one hundred seventy-eight million, one hundred eighty thousand, forty-one".