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14241013330024 = 2313178054871793
BaseRepresentation
bin1100111100111011111010…
…0010100111000001101000
31212102102112201000200020001
43033032332202213001220
53331311043403030044
650142121535112344
72666610405015235
oct317167642470150
955372481020201
1014241013330024
1145a0641842758
1217200066726b4
137c3bca24c030
143733a953878c
1519a694cc02d4
hexcf3be8a7068

14241013330024 has 32 divisors (see below), whose sum is σ = 30447415381320. Its totient is φ = 6186141536256.

The previous prime is 14241013330013. The next prime is 14241013330111. The reversal of 14241013330024 is 42003331014241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6571891144900 + 7669122185124 = 2563570^2 + 2769318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14241013329974 and 14241013330001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4027434129 + ... + 4027437664.

Almost surely, 214241013330024 is an apocalyptic number.

It is an amenable number.

14241013330024 is an abundant number, since it is smaller than the sum of its proper divisors (16206402051296).

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

14241013330024 is a wasteful number, since it uses less digits than its factorization.

14241013330024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054871829 (or 8054871825 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14241013330024 its reverse (42003331014241), we get a palindrome (56244344344265).

The spelling of 14241013330024 in words is "fourteen trillion, two hundred forty-one billion, thirteen million, three hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 8054871793 16109743586 32219487172 64438974344 104713333309 136932820481 209426666618 273865640962 418853333236 547731281924 837706666472 1095462563848 1780126666253 3560253332506 7120506665012 14241013330024