Based on the authors' article [5] and the work of Hrbácek [11], we prove that every unlimited natural number ω is of the form ω = ω1 · ω2 + ω3 · ω4 in at least k different ways (k ≥ 1 is limited), where ωi ∈ N is unlimited and ωi/ωj is appreciable for 1 ≤ i, j ≤4. Other similar representations of unlimited natural numbers are also presented.