# size of multiplication table

I learned multiplication tables when I was young. But I still don’t know their size. Great work of Ford shows that $$|(n)cdot(n)|$$ is $$n^2/((log n)^delta (loglog n)^{3/2})$$ up to multiplicative constants, where $$delta := 1-frac{1+loglog2}{log 2}$$. I wonder if the limit of the ratio exists.