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41228200417 is a prime number
BaseRepresentation
bin100110011001011001…
…000110100111100001
310221102021010120201211
4212121121012213201
51133413404403132
630535011230121
72656446631015
oct463131064741
9127367116654
1041228200417
1116537276208
127ba72a8341
133b7066b881
141dd175c545
151114743147
hex9996469e1

41228200417 has 2 divisors, whose sum is σ = 41228200418. Its totient is φ = 41228200416.

The previous prime is 41228200379. The next prime is 41228200427. The reversal of 41228200417 is 71400282214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41064590736 + 163609681 = 202644^2 + 12791^2 .

It is a cyclic number.

It is not a de Polignac number, because 41228200417 - 215 = 41228167649 is a prime.

It is not a weakly prime, because it can be changed into another prime (41228200427) 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, 20614100208 + 20614100209.

It is an arithmetic number, because the mean of its divisors is an integer number (20614100209).

Almost surely, 241228200417 is an apocalyptic number.

It is an amenable number.

41228200417 is a deficient number, since it is larger than the sum of its proper divisors (1).

41228200417 is an equidigital number, since it uses as much as digits as its factorization.

41228200417 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 31.

The spelling of 41228200417 in words is "forty-one billion, two hundred twenty-eight million, two hundred thousand, four hundred seventeen".