The calculated distance (air line) between Achkhoy-Martan and Makhachkala is approximately 113 miles respectively 182 kilometers.
By car or train, the actual journey to Makhachkala is certainly longer, as only the direct route (as the crow flies) between Achkhoy-Martan and Makhachkala has been calculated here.
Air line (approximately)
182 kilometers
98 nautical miles