Search a number
-
+
12404043314334 = 235723158526229
BaseRepresentation
bin1011010010000000101010…
…0110000111010010011110
31121220211000002212010100000
42310200022212013102132
53111211440042024314
642214201104315130
72420106520350660
oct264401246072236
947824002763300
1012404043314334
113a525860950a1
121483ba1012aa6
136bc9089068c9
1430c504b6c530
151679ce798209
hexb480a98749e

12404043314334 has 96 divisors (see below), whose sum is σ = 33237243486720. Its totient is φ = 3389924859552.

The previous prime is 12404043314309. The next prime is 12404043314389. The reversal of 12404043314334 is 43341334040421.

12404043314334 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 4 + 0 + 4 + 3 + 314 + 334 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79184869 + ... + 79341360.

It is an arithmetic number, because the mean of its divisors is an integer number (346221286320).

Almost surely, 212404043314334 is an apocalyptic number.

12404043314334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12404043314334 is an abundant number, since it is smaller than the sum of its proper divisors (20833200172386).

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

12404043314334 is a wasteful number, since it uses less digits than its factorization.

12404043314334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158526276 (or 158526264 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 12404043314334 its reverse (43341334040421), we get a palindrome (55745377354755).

The spelling of 12404043314334 in words is "twelve trillion, four hundred four billion, forty-three million, three hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 243 322 378 414 483 486 567 621 966 1134 1242 1449 1701 1863 2898 3402 3726 4347 5589 8694 11178 13041 26082 39123 78246 158526229 317052458 475578687 951157374 1109683603 1426736061 2219367206 2853472122 3329050809 3646103267 4280208183 6658101618 7292206534 8560416366 9987152427 10938309801 12840624549 19974304854 21876619602 25522722869 25681249098 29961457281 32814929403 38521873647 51045445738 59922914562 65629858806 76568168607 77043747294 89884371843 98444788209 153136337214 179768743686 196889576418 229704505821 269653115529 295334364627 459409011642 539306231058 590668729254 689113517463 886003093881 1378227034926 1772006187762 2067340552389 4134681104778 6202021657167 12404043314334