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12004401042 = 234397186653
BaseRepresentation
bin10110010111000010…
…01001111110010010
31010222121101202110000
423023201021332102
5144041111313132
65303103550430
7603323503524
oct131341117622
933877352400
1012004401042
1151001981a7
1223b02bb416
131194045aaa
1481c445a14
154a3d3e87c
hex2cb849f92

12004401042 has 40 divisors (see below), whose sum is σ = 26966649996. Its totient is φ = 3991366368.

The previous prime is 12004401023. The next prime is 12004401089. The reversal of 12004401042 is 24010440021.

12004401042 is a `hidden beast` number, since 120 + 0 + 440 + 104 + 2 = 666.

12004401042 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 11975143761 + 29257281 = 109431^2 + 5409^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 29013 + ... + 157640.

Almost surely, 212004401042 is an apocalyptic number.

12004401042 is an abundant number, since it is smaller than the sum of its proper divisors (14962248954).

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

12004401042 is a wasteful number, since it uses less digits than its factorization.

12004401042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187064 (or 187055 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12004401042 its reverse (24010440021), we get a palindrome (36014841063).

The spelling of 12004401042 in words is "twelve billion, four million, four hundred one thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 397 794 1191 2382 3573 7146 10719 21438 32157 64314 186653 373306 559959 1119918 1679877 3359754 5039631 10079262 15118893 30237786 74101241 148202482 222303723 444607446 666911169 1333822338 2000733507 4001467014 6002200521 12004401042