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413322144441181 is a prime number
BaseRepresentation
bin101110111111010100000111…
…1100110001110001101011101
32000012110012200220100211200121
41131332220033212032031131
5413133332222434104211
64023021323304554541
7153026353022163403
oct13576501746161535
92005405626324617
10413322144441181
1110a773a34284048
123a434725a82a51
1314982159a8a6b1
14740cc817d1473
1532bb6ce0d5271
hex177ea0f98e35d

413322144441181 has 2 divisors, whose sum is σ = 413322144441182. Its totient is φ = 413322144441180.

The previous prime is 413322144441067. The next prime is 413322144441211. The reversal of 413322144441181 is 181144441223314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 409126472265625 + 4195672175556 = 20226875^2 + 2048334^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413322144441181 is a prime.

It is a super-2 number, since 2×4133221444411812 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413322144411181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206661072220590 + 206661072220591.

It is an arithmetic number, because the mean of its divisors is an integer number (206661072220591).

Almost surely, 2413322144441181 is an apocalyptic number.

It is an amenable number.

413322144441181 is a deficient number, since it is larger than the sum of its proper divisors (1).

413322144441181 is an equidigital number, since it uses as much as digits as its factorization.

413322144441181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 294912, while the sum is 43.

Adding to 413322144441181 its reverse (181144441223314), we get a palindrome (594466585664495).

The spelling of 413322144441181 in words is "four hundred thirteen trillion, three hundred twenty-two billion, one hundred forty-four million, four hundred forty-one thousand, one hundred eighty-one".