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12342434112 = 2632171260461
BaseRepresentation
bin10110111111010101…
…01001100101000000
31011212011110121122100
423133222221211000
5200234130342422
65400421110400
7614566646631
oct133752514500
934764417570
1012342434112
115263a89478
122485558400
13121909c068
148512b9888
154c38627ac
hex2dfaa9940

12342434112 has 84 divisors (see below), whose sum is σ = 37458409716. Its totient is φ = 3872133120.

The previous prime is 12342434099. The next prime is 12342434119. The reversal of 12342434112 is 21143424321.

12342434112 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 243 + 411 + 2 = 666.

12342434112 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 9640097856 + 2702336256 = 98184^2 + 51984^2 .

It is a super-2 number, since 2×123424341122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342434119) 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, 620439 + ... + 640022.

It is an arithmetic number, because the mean of its divisors is an integer number (445933449).

Almost surely, 212342434112 is an apocalyptic number.

12342434112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12342434112 is an abundant number, since it is smaller than the sum of its proper divisors (25115975604).

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

12342434112 is a wasteful number, since it uses less digits than its factorization.

12342434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260496 (or 1260483 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12342434112 its reverse (21143424321), we get a palindrome (33485858433).

The spelling of 12342434112 in words is "twelve billion, three hundred forty-two million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 1260461 2520922 3781383 5041844 7562766 10083688 11344149 15125532 20167376 21427837 22688298 30251064 40334752 42855674 45376596 60502128 64283511 80669504 85711348 90753192 121004256 128567022 171422696 181506384 192850533 242008512 257134044 342845392 363012768 385701066 514268088 685690784 726025536 771402132 1028536176 1371381568 1542804264 2057072352 3085608528 4114144704 6171217056 12342434112