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14431411220 = 225809891929
BaseRepresentation
bin11010111000010110…
…11101110000010100
31101020202020122111212
431130023131300110
5214023420124340
610344003120552
71020423654122
oct153413356024
941222218455
1014431411220
116136178936
122969073158
13148caca8a5
149ac8d6912
15596e4da65
hex35c2ddc14

14431411220 has 24 divisors (see below), whose sum is σ = 30343458600. Its totient is φ = 5765422592.

The previous prime is 14431411133. The next prime is 14431411237. The reversal of 14431411220 is 2211413441.

14431411220 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 6232470916 + 8198940304 = 78946^2 + 90548^2 .

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, 429785 + ... + 462144.

It is an arithmetic number, because the mean of its divisors is an integer number (1264310775).

Almost surely, 214431411220 is an apocalyptic number.

14431411220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14431411220 is an abundant number, since it is smaller than the sum of its proper divisors (15912047380).

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

14431411220 is a wasteful number, since it uses less digits than its factorization.

14431411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892747 (or 892745 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 14431411220 its reverse (2211413441), we get a palindrome (16642824661).

The spelling of 14431411220 in words is "fourteen billion, four hundred thirty-one million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 809 1618 3236 4045 8090 16180 891929 1783858 3567716 4459645 8919290 17838580 721570561 1443141122 2886282244 3607852805 7215705610 14431411220