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10044124441 = 132113525953
BaseRepresentation
bin10010101101010110…
…10010110100011001
3221220222210101110221
421112223102310121
5131032243440231
64340400240041
7503621435431
oct112653226431
927828711427
1010044124441
11429471239a
121b43910021
13c40b99400
146b3d6b2c1
153dbbc6d11
hex256ad2d19

10044124441 has 12 divisors (see below), whose sum is σ = 10972452348. Its totient is φ = 9189433344.

The previous prime is 10044124379. The next prime is 10044124457. The reversal of 10044124441 is 14442144001.

10044124441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3466265625 + 6577858816 = 58875^2 + 81104^2 .

It is not a de Polignac number, because 10044124441 - 229 = 9507253529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10044124471) 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 11 ways as a sum of consecutive naturals, for example, 243880 + ... + 282073.

It is an arithmetic number, because the mean of its divisors is an integer number (914371029).

Almost surely, 210044124441 is an apocalyptic number.

It is an amenable number.

10044124441 is a deficient number, since it is larger than the sum of its proper divisors (928327907).

10044124441 is a wasteful number, since it uses less digits than its factorization.

10044124441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526092 (or 526079 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 10044124441 its reverse (14442144001), we get a palindrome (24486268442).

The spelling of 10044124441 in words is "ten billion, forty-four million, one hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 13 113 169 1469 19097 525953 6837389 59432689 88886057 772624957 10044124441