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14042132224 = 28232982237
BaseRepresentation
bin11010001001111100…
…11110111100000000
31100020121202020010021
431010332132330000
5212224241212344
610241215343224
71004656104001
oct150476367400
940217666107
1014042132224
115a5646585a
12287a821b14
13142a2710a3
14972d231a8
15572ba6b84
hex344f9ef00

14042132224 has 72 divisors (see below), whose sum is σ = 30257004960. Its totient is φ = 6484144128.

The previous prime is 14042132207. The next prime is 14042132233. The reversal of 14042132224 is 42223124041.

14042132224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 129634 + ... + 211870.

It is an arithmetic number, because the mean of its divisors is an integer number (420236180).

Almost surely, 214042132224 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 14042132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15128502480).

14042132224 is an abundant number, since it is smaller than the sum of its proper divisors (16214872736).

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

14042132224 is an equidigital number, since it uses as much as digits as its factorization.

14042132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82305 (or 82291 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14042132224 its reverse (42223124041), we get a palindrome (56265256265).

The spelling of 14042132224 in words is "fourteen billion, forty-two million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 256 368 464 667 736 928 1334 1472 1856 2668 2944 3712 5336 5888 7424 10672 21344 42688 82237 85376 164474 170752 328948 657896 1315792 1891451 2384873 2631584 3782902 4769746 5263168 7565804 9539492 10526336 15131608 19078984 21052672 30263216 38157968 54852079 60526432 76315936 109704158 121052864 152631872 219408316 242105728 305263744 438816632 484211456 610527488 877633264 1755266528 3510533056 7021066112 14042132224