What’s the cardinality of the set of solutions [math]<a,b,c,d> \in \mathbb{N}^4:a^2 + b^3 + c^4 + d^5=2^{46} \cdot 3^{43} \cdot 5^{38} \cdot 7^{31} \cdot 11^{20} \cdot 13^{7}[/math]?
insincere question