Let $n=p_1^{\alpha_1}p_2^{\alpha_2}\cdots p_k^{\alpha_k}$, where $p_i$'s are distinct primes and $\alpha_i \geq 1$ for all $i$.
Is there any name & notation for the number $\alpha_1 + \alpha_2+ \cdots + \alpha_k$?
Let $n=p_1^{\alpha_1}p_2^{\alpha_2}\cdots p_k^{\alpha_k}$, where $p_i$'s are distinct primes and $\alpha_i \geq 1$ for all $i$.
Is there any name & notation for the number $\alpha_1 + \alpha_2+ \cdots + \alpha_k$?
Usually $\omega(n)$ denotes the number of distinct prime factors of n, and $\Omega(n)$ denotes the number of prime factors counting multiplicity, which is exactly what you are looking for.