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14243313003424 = 2529101295351461
BaseRepresentation
bin1100111101000100011110…
…0111001010101110100000
31212102122110222021012001221
43033101013213022232200
53331330301112102144
650143142045104424
73000021400636351
oct317210747125640
955378428235057
1014243313003424
1145a161196038a
121720548858114
137c41a580b61b
14373546b1dd28
1519a77bb29d84
hexcf4479caba0

14243313003424 has 96 divisors (see below), whose sum is σ = 29306174239440. Its totient is φ = 6805564416000.

The previous prime is 14243313003421. The next prime is 14243313003431. The reversal of 14243313003424 is 42430031334241.

14243313003424 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 8 ways, for example, as 12572839472400 + 1670473531024 = 3545820^2 + 1292468^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14243313003424.

It is not an unprimeable number, because it can be changed into a prime (14243313003421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276753054 + ... + 276804514.

Almost surely, 214243313003424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14243313003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14653087119720).

14243313003424 is an abundant number, since it is smaller than the sum of its proper divisors (15062861236016).

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

14243313003424 is a wasteful number, since it uses less digits than its factorization.

14243313003424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54554 (or 54546 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 14243313003424 its reverse (42430031334241), we get a palindrome (56673344337665).

The spelling of 14243313003424 in words is "fourteen trillion, two hundred forty-three billion, three hundred thirteen million, three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 101 116 202 232 404 464 808 928 1616 2929 2953 3232 5858 5906 11716 11812 23432 23624 46864 47248 51461 85637 93728 94496 102922 171274 205844 298253 342548 411688 596506 685096 823376 1193012 1370192 1492369 1646752 2386024 2740384 2984738 4772048 5197561 5969476 8649337 9544096 10395122 11938952 17298674 20790244 23877904 34597348 41580488 47755808 69194696 83160976 138389392 150729269 151964333 166321952 276778784 301458538 303928666 602917076 607857332 1205834152 1215714664 2411668304 2431429328 4406965657 4823336608 4862858656 8813931314 15348397633 17627862628 30696795266 35255725256 61393590532 70511450512 122787181064 141022901024 245574362128 445103531357 491148724256 890207062714 1780414125428 3560828250856 7121656501712 14243313003424