16 to the 33th power is 5444517870735015415413993718908291383296
The calculation formula is as follows.
$16^{33}=$
5444517870735015415413993718908291383296
Also, $16^{33}$ has 40 digits.
On this page, I will introduce how to find $16^{33}$ and how to find the number of digits of $16^{33}$.
Calculating 16 to the 33th Power
16 to the 33th power is simply 16 multiplied by 33 times.
Basically, the only way to find it is by multiplication.
After that, a google search is convenient for finding the answer. .
For example, if you search for "14 to the 21st power" on google, a calculator will come up and tell you the answer.
>>search link<<
As you can see, calculating the exponentiation requires effort, so it may be obtained as step 1.
Next, let's find the number of digits in $16^{33}$.
Number of digits in 16 to the 33th power
Calculating $16^{33}$ gives us 40 digits.
Find the number of digits in 16 to the 33th power
Let's actually ask for it.
Let's calculate the common logarithm of 16 to the 33th power.
\begin{eqnarray}
\log_{10}16^{33}&=&33 \log_{10}16\\
&=&33\times 1.2041\cdots\\
&=&39.735
\end{eqnarray}
In other words,
We can say that $16^{33}=10^{39.735}$, so we know that $16^{33}$ has 40 digits.
How to find the number of digits
To find the number of digits in $16^{33}$, use common logarithms.
By using the common logarithm, we can calculate the power of 10, so we know the number of digits.
For example, $10^1=10$ is 2 digits.
On the other hand, $10^2=100$, so 3 digits.
So $10^a$ has $10+1$ digits.
If $a$ is a decimal, the number of digits is the integer part plus 1.
$a=11.34$ will be 12 digits.
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