Number Cruncher

2 digits: 14 18 26 27 3 digits: 210 220 265 302 378 877 4 digits: 1227 2261 2392 3608 5778 6709 8332 9598 5 digits: 26276 68981 6 digits: 311727 368638 7 digits: 2718406 6108582 8261920 8510707 9 digits: 689316850 901138805

Can you correctly fit all the numbers into the grid? Cross the numbers off the list as their positions are found.