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10442414433 = 3111039304559
BaseRepresentation
bin10011011100110101…
…01001100101100001
3222221202020121122010
421232122221211201
5132341224230213
64444105103133
7516526025643
oct115632514541
928852217563
1010442414433
11447951a580
122035187aa9
13ca555c569
14710c08893
15411b4dac3
hex26e6a9961

10442414433 has 16 divisors (see below), whose sum is σ = 15203635200. Its totient is φ = 6322624080.

The previous prime is 10442414431. The next prime is 10442414443. The reversal of 10442414433 is 33441424401.

10442414433 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 10442414433 - 21 = 10442414431 is a prime.

It is a super-2 number, since 2×104424144332 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10442414433.

It is not an unprimeable number, because it can be changed into a prime (10442414431) 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 15 ways as a sum of consecutive naturals, for example, 117993 + ... + 186566.

It is an arithmetic number, because the mean of its divisors is an integer number (950227200).

Almost surely, 210442414433 is an apocalyptic number.

It is an amenable number.

10442414433 is a deficient number, since it is larger than the sum of its proper divisors (4761220767).

10442414433 is a wasteful number, since it uses less digits than its factorization.

10442414433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305612.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10442414433 its reverse (33441424401), we get a palindrome (43883838834).

The spelling of 10442414433 in words is "ten billion, four hundred forty-two million, four hundred fourteen thousand, four hundred thirty-three".

Divisors: 1 3 11 33 1039 3117 11429 34287 304559 913677 3350149 10050447 316436801 949310403 3480804811 10442414433