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443343102211441 = 41211310212285957
BaseRepresentation
bin110010011001101111101110…
…0000111101111010101110001
32011010202012001001210122020001
41210303133130013233111301
5431102213133131231231
64210525002013550001
7162245324236644625
oct14463373407572561
92133665031718201
10443343102211441
111192988322a4093
1241882a43aa5301
131604c0c9147023
147b69cc633b185
15363c588c68b61
hex19337dc1ef571

443343102211441 has 24 divisors (see below), whose sum is σ = 458890716006072. Its totient is φ = 428282086041600.

The previous prime is 443343102211411. The next prime is 443343102211453. The reversal of 443343102211441 is 144112201343344.

It can be written as a sum of positive squares in 12 ways, for example, as 443308645570816 + 34456640625 = 21054896^2 + 185625^2 .

It is not a de Polignac number, because 443343102211441 - 29 = 443343102210929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 443343102211441.

It is not an unprimeable number, because it can be changed into a prime (443343102211411) 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 in 23 ways as a sum of consecutive naturals, for example, 192799035 + ... + 195084991.

It is an arithmetic number, because the mean of its divisors is an integer number (19120446500253).

Almost surely, 2443343102211441 is an apocalyptic number.

443343102211441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

443343102211441 is a deficient number, since it is larger than the sum of its proper divisors (15547613794631).

443343102211441 is a wasteful number, since it uses less digits than its factorization.

443343102211441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287173 (or 2287132 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 443343102211441 its reverse (144112201343344), we get a palindrome (587455303554785).

The spelling of 443343102211441 in words is "four hundred forty-three trillion, three hundred forty-three billion, one hundred two million, two hundred eleven thousand, four hundred forty-one".

Divisors: 1 41 113 1021 1681 4633 41861 115373 189953 1716301 2285957 4730293 93724237 193942013 258313141 2333962097 3842693717 10590838781 95692445977 263737716961 434224390021 3923390285057 10813246395401 443343102211441