# 2 to the 31st Power

Welcome to 2 to the 31st power, our post about the mathematical operation exponentiation of 2 to the power of 31. If you have been looking for 2 to the thirty-first power, or if you have been wondering about 2 exponent 31, then you also have come to the right place. The number 2 is called the base, and the number 31 is called the exponent. In this post we are going to answer the question what is 2 to the 31st power. Keep reading to learn everything about two to the thirty-first power.

## What is 2 to the 31st Power

2 to the 31st power is conventionally written as 231, with superscript for the exponent, but the notation using the caret symbol ^ can also be seen frequently: 2^31.

231 stands for the mathematical operation exponentiation of two by the power of thirty-one. As the exponent is a positive integer, exponentiation means a repeated multiplication:

2 to the 31st power = $\underbrace{ {\rm 2\hspace{3px} \times\hspace{7px} …\hspace{5px} \times\hspace{3px} 2} }_{\rm 31\hspace{3px} times}$

The exponent of the number 2, 31, also called index or power, denotes how many times to multiply the base (2).

Thus, we can answer what is 2 to the 31st power as

2 to the power of 31 = 231 = 2147483648.

If you have come here in search of an exponentiation different to 2 to the thirty-first power, or if you like to experiment with bases and indices, then use our calculator below.

To stick with 2 to the power of 31 as an example, insert 2 for the base and enter 31 as the index, also known as exponent or power. Next, hit the convert button, then check the result.

2 to the 31st power is an exponentiation which belongs to the category powers of 2. Similar exponentiations on our site in this category include, but are not limited, to:

Ahead is more info related to 2 to the 31 power, along with instructions how to use the search form, located in the sidebar or at the bottom, to obtain a number like 2^31.

## 2 to the Power of 31

Reading all of the above, you already know most about 2 to the power of 31, except for its inverse which is discussed a bit further below in this section.

Using the aforementioned search form you can look up many numbers, including, for instance, 2 to the power 31, and you will be taken to a result page with relevant posts.

Now, we would like to show you what the inverse operation of 2 to the 31st power, (231)−1, is. The inverse is 31st root of 231, and the math goes as follows:

(231)−1
= $\sqrt{2^{31}}$
= $2^{31/31}$
= $2^{1}$
= 2

Because the index of 31 is not a multiple of 2, which means odd, in contrast to even numbers, the operation produces only one value: (231)−1$\hspace{3px} = \hspace{3px}2$.

Make sure to understand that exponentiation is not commutative, which means that 231 ≠ 312, and also note that (231)-1 ≠ 2-31, the inverse and reciprocal of 231, respectively.

You already know what 2 to the power of 31 equals, but you may also be interested in learning what 2 to the negative 31st power stands for. Next is the summary of our content.

## Two to the Thirty-first Power

You have reached the concluding section of two to the thirty-first power = 231. Two to the thirty-first power is, for example, the same as 2 to the power 31 or 2 to the 31 power.

Exponentiations like 231 make it easier to write multiplications and to conduct math operations as numbers get either big or small, such as in case of decimal fractions with lots of trailing zeroes.

If you have been looking for 2 power 31, what is 2 to the 31 power, 2 exponent 31 or 31 power of 2, then it’s safe to assume that you have found your answer as well.

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If you like to learn more about exponentiation, the mathematical operation conducted in 231, then check out the articles which you can locate in the header menu of our site.

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Posted in Powers of 2