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14430101220 = 2232580167229
BaseRepresentation
bin11010111000001100…
…11101111011100100
31101020122210002112100
431130012131323210
5214023101214340
610343515052100
71020406556643
oct153406357344
941218702470
1014430101220
116135463697
122968741030
13148c75c542
149ac67535a
15596c90830
hex35c19dee4

14430101220 has 36 divisors (see below), whose sum is σ = 43771307580. Its totient is φ = 3848026944.

The previous prime is 14430101201. The next prime is 14430101221. The reversal of 14430101220 is 2210103441.

14430101220 is a `hidden beast` number, since 1 + 4 + 430 + 10 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4017531456 + 10412569764 = 63384^2 + 102042^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14430101193 and 14430101202.

It is not an unprimeable number, because it can be changed into a prime (14430101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40083435 + ... + 40083794.

It is an arithmetic number, because the mean of its divisors is an integer number (1215869655).

Almost surely, 214430101220 is an apocalyptic number.

14430101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14430101220 is an abundant number, since it is smaller than the sum of its proper divisors (29341206360).

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

14430101220 is a wasteful number, since it uses less digits than its factorization.

14430101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80167244 (or 80167239 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14430101220 its reverse (2210103441), we get a palindrome (16640204661).

The spelling of 14430101220 in words is "fourteen billion, four hundred thirty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 80167229 160334458 240501687 320668916 400836145 481003374 721505061 801672290 962006748 1202508435 1443010122 1603344580 2405016870 2886020244 3607525305 4810033740 7215050610 14430101220