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14041330120 = 2351277274889
BaseRepresentation
bin11010001001110110…
…11011000111001000
31100020120020110211201
431010323123013020
5212224040030440
610241150233544
71004646223336
oct150473330710
940216213751
1014041330120
115a55a68164
12287a4b58b4
13142a04cc7c
14972b94b56
15572a9919a
hex344edb1c8

14041330120 has 32 divisors (see below), whose sum is σ = 31617847800. Its totient is φ = 5612113408.

The previous prime is 14041330117. The next prime is 14041330129. The reversal of 14041330120 is 2103314041.

14041330120 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 4 ways, for example, as 13842463716 + 198866404 = 117654^2 + 14102^2 .

It is not an unprimeable number, because it can be changed into a prime (14041330129) by changing a digit.

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, 86365 + ... + 188524.

Almost surely, 214041330120 is an apocalyptic number.

14041330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14041330120 is an abundant number, since it is smaller than the sum of its proper divisors (17576517680).

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

14041330120 is a wasteful number, since it uses less digits than its factorization.

14041330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276177 (or 276173 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 14041330120 its reverse (2103314041), we get a palindrome (16144644161).

The spelling of 14041330120 in words is "fourteen billion, forty-one million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1277 2554 5108 6385 10216 12770 25540 51080 274889 549778 1099556 1374445 2199112 2748890 5497780 10995560 351033253 702066506 1404133012 1755166265 2808266024 3510332530 7020665060 14041330120