Hilbert-Waring Theorem/Variant Form/Particular Cases/4

Particular Case of the Hilbert-Waring Theorem -- Variant Form: $k = 4$
The Hilbert-Waring Theorem -- Variant Form states that:

The case where $k = 4$ is:

Every sufficiently large positive integer can be expressed as the sum of at most $16$ powers of $4$.

That is:
 * $\map G 4 = 16$

Also see

 * Numbers of form $31 \times 16^n$ are sum of $16$ Powers of $4$