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12344205042 = 2321369176343
BaseRepresentation
bin10110111111100010…
…11001111011110010
31011212021210120220100
423133301121323302
5200240104030132
65400523053230
7614621003661
oct133761317362
934767716810
1012344205042
115264a88a54
122486071216
13121956c150
1485161add8
154c3ab237c
hex2dfc59ef2

12344205042 has 48 divisors (see below), whose sum is σ = 28845206208. Its totient is φ = 3792670560.

The previous prime is 12344205001. The next prime is 12344205043. The reversal of 12344205042 is 24050244321.

12344205042 is a `hidden beast` number, since 1 + 234 + 420 + 5 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12344204997 and 12344205015.

It is not an unprimeable number, because it can be changed into a prime (12344205043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123523 + ... + 199865.

It is an arithmetic number, because the mean of its divisors is an integer number (600941796).

Almost surely, 212344205042 is an apocalyptic number.

12344205042 is an abundant number, since it is smaller than the sum of its proper divisors (16501001166).

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

12344205042 is a wasteful number, since it uses less digits than its factorization.

12344205042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77055 (or 77052 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12344205042 its reverse (24050244321), we get a palindrome (36394449363).

The spelling of 12344205042 in words is "twelve billion, three hundred forty-four million, two hundred five thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 691 1382 2073 4146 6219 8983 12438 17966 26949 53898 76343 80847 152686 161694 229029 458058 687087 992459 1374174 1984918 2977377 5954754 8932131 17864262 52753013 105506026 158259039 316518078 474777117 685789169 949554234 1371578338 2057367507 4114735014 6172102521 12344205042