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14441130020 = 22517317892333
BaseRepresentation
bin11010111001100001…
…00010100000100100
31101021102112102012102
431130300202200210
5214033412130040
610344551311232
71020602402612
oct153460424044
941242472172
1014441130020
1161407067a9
12297037b518
131491b21465
149add066b2
15597c1d515
hex35cc22824

14441130020 has 48 divisors (see below), whose sum is σ = 30531800880. Its totient is φ = 5737391616.

The previous prime is 14441130017. The next prime is 14441130031. The reversal of 14441130020 is 2003114441.

It can be written as a sum of positive squares in 8 ways, for example, as 1821753124 + 12619376896 = 42682^2 + 112336^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14441129974 and 14441130001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6188774 + ... + 6191106.

It is an arithmetic number, because the mean of its divisors is an integer number (636079185).

Almost surely, 214441130020 is an apocalyptic number.

14441130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14441130020 is an abundant number, since it is smaller than the sum of its proper divisors (16090670860).

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

14441130020 is a wasteful number, since it uses less digits than its factorization.

14441130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14441130020 its reverse (2003114441), we get a palindrome (16444244461).

The spelling of 14441130020 in words is "fourteen billion, four hundred forty-one million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 1789 2333 3460 3578 4666 7156 8945 9332 11665 17890 23330 35780 46660 309497 403609 618994 807218 1237988 1547485 1614436 2018045 3094970 4036090 4173737 6189940 8072180 8347474 16694948 20868685 41737370 83474740 722056501 1444113002 2888226004 3610282505 7220565010 14441130020