# What does BigInteger having no limit mean?

JavaBigintegerInteger Overflow## Java Problem Overview

I looked into this stackoverflow question relating to Big Integer and specifically I do not understand this line (the words in italics):

> In the BigInteger class, *I have no limits* and there are some helpful
> functions there but it is pretty depressing to convert your beautiful
> code to work with the BigInteger class, specially when primitive
> operators don't work there and you must use functions from this class.

I don't know what I am missing but to represent something that has no limit you would require infinite memory ? Whats is the trick here ?

## Java Solutions

## Solution 1 - Java

There is no *theoretical* limit. The `BigInteger`

class allocates as much memory as it needs for all the bits of data it is asked to hold.

There are, however, some practical limits, dictated by the memory available. And there are further technical limits, although you're very unlikely to be affected: some methods assume that the bits are addressable by `int`

indexes, so things will start to break when you go above `Integer.MAX_VALUE`

bits.

## Solution 2 - Java

Graham gave great answer to this question. I would like only to add that you have to be carefull with `valueOf`

method because it is created using `long`

parameter so the maximum value is `Long.MAX_VALUE`

.

## Solution 3 - Java

Yes its used when we need very big numbers with arbitrary precision. It's important to note that "arbitrary" precision or number of digits does not mean "unlimited": it means that the number of digits in a number or number of digits of precision in a calculation is limited by memory and/or defined limits to precision that we specify.

## Solution 4 - Java

Look at the BigInteger class source code, you will see (it can be done with NetBean). A number will be represented as an int arrays. Example, 10113 will be [1, 0, 1, 1, 3] (this is not exactly what the BigInteger class does, just an example how big number module work). So, technically, its only limit will be your memory.