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12140224144 = 241722625481
BaseRepresentation
bin10110100111001110…
…10001111010010000
31011100001222021201021
423103213101322100
5144330344133034
65324355045224
7606563126326
oct132347217220
934301867637
1012140224144
11516a9270a4
1224298a0814
1311b621cba9
148324bdd16
154b0c1d6b4
hex2d39d1e90

12140224144 has 30 divisors (see below), whose sum is σ = 24986712194. Its totient is φ = 5713044480.

The previous prime is 12140224069. The next prime is 12140224147. The reversal of 12140224144 is 44142204121.

It is a happy number.

12140224144 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 3 ways, for example, as 1840410000 + 10299814144 = 42900^2 + 101488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140224147) 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 5 ways as a sum of consecutive naturals, for example, 1308117 + ... + 1317364.

Almost surely, 212140224144 is an apocalyptic number.

It is an amenable number.

12140224144 is an abundant number, since it is smaller than the sum of its proper divisors (12846488050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12140224144 is a wasteful number, since it uses less digits than its factorization.

12140224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625523 (or 2625500 counting only the distinct ones).

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

Adding to 12140224144 its reverse (44142204121), we get a palindrome (56282428265).

The spelling of 12140224144 in words is "twelve billion, one hundred forty million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 2625481 5250962 10501924 21003848 42007696 44633177 89266354 178532708 357065416 714130832 758764009 1517528018 3035056036 6070112072 12140224144