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413331242203143 = 321137112839541961
BaseRepresentation
bin101110111111011000010110…
…1110111011011100000000111
32000012111002011221102000220100
41131332300231313123200013
5413134004341001000033
64023025430141335143
7153030124332655635
oct13576605567334007
92005432157360810
10413331242203143
1110a777882778290
123a4364448674b3
1314982c798798b4
14740d4a5bb4355
1532bba62b73513
hex177ec2dddb807

413331242203143 has 24 divisors (see below), whose sum is σ = 668912804750736. Its totient is φ = 243733410633600.

The previous prime is 413331242203043. The next prime is 413331242203183. The reversal of 413331242203143 is 341302242133314.

413331242203143 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 312 + 4 + 2 + 20 + 314 + 3 = 666.

It is not a de Polignac number, because 413331242203143 - 29 = 413331242202631 is a prime.

It is a super-2 number, since 2×4133312422031432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413331242203098 and 413331242203107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413331242203183) 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, 56419767318 + ... + 56419774643.

It is an arithmetic number, because the mean of its divisors is an integer number (27871366864614).

Almost surely, 2413331242203143 is an apocalyptic number.

413331242203143 is a deficient number, since it is larger than the sum of its proper divisors (255581562547593).

413331242203143 is a wasteful number, since it uses less digits than its factorization.

413331242203143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112839542015 (or 112839542012 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 413331242203143 its reverse (341302242133314), we get a palindrome (754633484336457).

The spelling of 413331242203143 in words is "four hundred thirteen trillion, three hundred thirty-one billion, two hundred forty-two million, two hundred three thousand, one hundred forty-three".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 112839541961 338518625883 1015555877649 1241234961571 3723704884713 4175063052557 11171114654139 12525189157671 37575567473013 45925693578127 137777080734381 413331242203143