The calculated distance (air line) between Alkhan-Churt and Makhachkala is approximately 139 miles respectively 224 kilometers.
By car or train, the actual journey to Makhachkala is certainly longer, as only the direct route (as the crow flies) between Alkhan-Churt and Makhachkala has been calculated here.
Air line (approximately)
224 kilometers
121 nautical miles