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10442041443 = 323313679551
BaseRepresentation
bin10011011100110010…
…01110100001100011
3222221201112122222200
421232121032201203
5132341130311233
64444053104243
7516522613341
oct115631164143
928851478880
1010442041443
114479295319
122035028083
13ca545b862
14710b4c991
15411ac8313
hex26e64e863

10442041443 has 24 divisors (see below), whose sum is σ = 15171326976. Its totient is φ = 6920694000.

The previous prime is 10442041369. The next prime is 10442041447. The reversal of 10442041443 is 34414024401.

10442041443 is a `hidden beast` number, since 10 + 4 + 4 + 204 + 1 + 443 = 666.

10442041443 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10442041443 - 210 = 10442040419 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10442041447) 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 in 23 ways as a sum of consecutive naturals, for example, 1088518 + ... + 1098068.

It is an arithmetic number, because the mean of its divisors is an integer number (632138624).

Almost surely, 210442041443 is an apocalyptic number.

10442041443 is a deficient number, since it is larger than the sum of its proper divisors (4729285533).

10442041443 is a wasteful number, since it uses less digits than its factorization.

10442041443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10255 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10442041443 its reverse (34414024401), we get a palindrome (44856065844).

The spelling of 10442041443 in words is "ten billion, four hundred forty-two million, forty-one thousand, four hundred forty-three".

Divisors: 1 3 9 331 367 993 1101 2979 3303 9551 28653 85959 121477 364431 1093293 3161381 3505217 9484143 10515651 28452429 31546953 1160226827 3480680481 10442041443