How many digits are there in the number $2^3 \cdot 3^1 \cdot 4^3 \cdot 5^8$ ?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many digits are there in the number $2^3 \cdot 3^1 \cdot 4^3 \cdot 5^8$ ?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
9
How many digits are there in the number $2^3 \cdot 3^1 \cdot 4^3 \cdot 5^8$ ?
train