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12041434242 = 234731018217
BaseRepresentation
bin10110011011011100…
…11011010010000010
31011002012002020110000
423031232123102002
5144130101343432
65310505420430
7604253334165
oct131556332202
934065066400
1012041434242
11511a091852
12240079a716
13119b911126
14823325adc
154a720757c
hex2cdb9b482

12041434242 has 40 divisors (see below), whose sum is σ = 27351371916. Its totient is φ = 3958823808.

The previous prime is 12041434217. The next prime is 12041434247. The reversal of 12041434242 is 24243414021.

12041434242 is a `hidden beast` number, since 1 + 2 + 0 + 414 + 3 + 4 + 242 = 666.

12041434242 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 2 ways, for example, as 10803731481 + 1237702761 = 103941^2 + 35181^2 .

It is a super-2 number, since 2×120414342422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12041434247) 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 19 ways as a sum of consecutive naturals, for example, 497283 + ... + 520934.

Almost surely, 212041434242 is an apocalyptic number.

12041434242 is an abundant number, since it is smaller than the sum of its proper divisors (15309937674).

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

12041434242 is a wasteful number, since it uses less digits than its factorization.

12041434242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018304 (or 1018295 counting only the distinct ones).

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

Adding to 12041434242 its reverse (24243414021), we get a palindrome (36284848263).

The spelling of 12041434242 in words is "twelve billion, forty-one million, four hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 1314 1971 3942 5913 11826 1018217 2036434 3054651 6109302 9163953 18327906 27491859 54983718 74329841 82475577 148659682 164951154 222989523 445979046 668968569 1337937138 2006905707 4013811414 6020717121 12041434242