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10444414011 = 323319415189
BaseRepresentation
bin10011011101000100…
…10001110000111011
3222221220000012112120
421232202101300323
5132342232222021
64444220012323
7516552024423
oct115642216073
928856005476
1010444414011
11447a665919
1220359910a3
13ca5aac745
147111a9483
15411de62c6
hex26e891c3b

10444414011 has 32 divisors (see below), whose sum is σ = 15018946560. Its totient is φ = 6437270400.

The previous prime is 10444414009. The next prime is 10444414031. The reversal of 10444414011 is 11041444401.

10444414011 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 10444414011 - 21 = 10444414009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10444414031) 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 31 ways as a sum of consecutive naturals, for example, 2010205 + ... + 2015393.

It is an arithmetic number, because the mean of its divisors is an integer number (469342080).

Almost surely, 210444414011 is an apocalyptic number.

10444414011 is a deficient number, since it is larger than the sum of its proper divisors (4574532549).

10444414011 is a wasteful number, since it uses less digits than its factorization.

10444414011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6187.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10444414011 its reverse (11041444401), we get a palindrome (21485858412).

The spelling of 10444414011 in words is "ten billion, four hundred forty-four million, four hundred fourteen thousand, eleven".

Divisors: 1 3 23 31 69 93 713 941 2139 2823 5189 15567 21643 29171 64929 87513 119347 160859 358041 482577 670933 2012799 3699757 4882849 11099271 14648547 112305527 151368319 336916581 454104957 3481471337 10444414011