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14430332301224 = 2372109753744809
BaseRepresentation
bin1101000111111101001011…
…0101001010111110101000
31220002112012200001212201012
43101333102311022332220
53342411310032114344
650405111513443052
73016362041511500
oct321772265127650
956075180055635
1014430332301224
114663962427924
121750841110488
13808a0b754708
1437c608c5aa00
151a05756b029e
hexd1fd2d4afa8

14430332301224 has 96 divisors (see below), whose sum is σ = 31768000209000. Its totient is φ = 6126740508672.

The previous prime is 14430332301199. The next prime is 14430332301227. The reversal of 14430332301224 is 42210323303441.

It can be written as a sum of positive squares in 4 ways, for example, as 13736793117124 + 693539184100 = 3706318^2 + 832790^2 .

It is not an unprimeable number, because it can be changed into a prime (14430332301227) 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, 322018532 + ... + 322063340.

Almost surely, 214430332301224 is an apocalyptic number.

14430332301224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430332301224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15884000104500).

14430332301224 is an abundant number, since it is smaller than the sum of its proper divisors (17337667907776).

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

14430332301224 is a wasteful number, since it uses less digits than its factorization.

14430332301224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52475 (or 52464 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 14430332301224 its reverse (42210323303441), we get a palindrome (56640655604665).

The spelling of 14430332301224 in words is "fourteen trillion, four hundred thirty billion, three hundred thirty-two million, three hundred one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 109 196 218 392 436 763 872 1526 3052 5341 6104 7537 10682 15074 21364 30148 42728 44809 52759 60296 89618 105518 179236 211036 313663 358472 369313 422072 627326 738626 821533 1254652 1477252 1643066 2195641 2509304 2954504 3286132 4391282 4884181 5750731 6572264 8782564 9768362 11501462 17565128 19536724 23002924 34189267 39073448 40255117 46005848 68378534 80510234 136757068 161020468 239324869 273514136 322040936 337725433 478649738 675450866 957299476 1350901732 1914598952 2364078031 2701803464 4728156062 9456312124 16548546217 18912624248 33097092434 36812072197 66194184868 73624144394 132388369736 147248288788 257684505379 294496577576 515369010758 1030738021516 1803791537653 2061476043032 3607583075306 7215166150612 14430332301224