Для перевода 6-ого числа 10000000000000000000000000000000000000000000 в десятичное необходимо записать его в виде многочлена, состоящего из произведений цифр вида:
A6 = an-1 ∙ 6n-1 + an-2 ∙ 6n-2 + ∙∙∙ + a0 ∙ 60
В результате преобразований получим:
100000000000000000000000000000000000000000006=1 ∙ 643 + 0 ∙ 642 + 0 ∙ 641 + 0 ∙ 640 + 0 ∙ 639 + 0 ∙ 638 + 0 ∙ 637 + 0 ∙ 636 + 0 ∙ 635 + 0 ∙ 634 + 0 ∙ 633 + 0 ∙ 632 + 0 ∙ 631 + 0 ∙ 630 + 0 ∙ 629 + 0 ∙ 628 + 0 ∙ 627 + 0 ∙ 626 + 0 ∙ 625 + 0 ∙ 624 + 0 ∙ 623 + 0 ∙ 622 + 0 ∙ 621 + 0 ∙ 620 + 0 ∙ 619 + 0 ∙ 618 + 0 ∙ 617 + 0 ∙ 616 + 0 ∙ 615 + 0 ∙ 614 + 0 ∙ 613 + 0 ∙ 612 + 0 ∙ 611 + 0 ∙ 610 + 0 ∙ 69 + 0 ∙ 68 + 0 ∙ 67 + 0 ∙ 66 + 0 ∙ 65 + 0 ∙ 64 + 0 ∙ 63 + 0 ∙ 62 + 0 ∙ 61 + 0 ∙ 60 = 1 ∙ 2.8873788203902E+33 + 0 ∙ 4.8122980339837E+32 + 0 ∙ 8.0204967233062E+31 + 0 ∙ 1.3367494538844E+31 + 0 ∙ 2.227915756474E+30 + 0 ∙ 3.7131929274566E+29 + 0 ∙ 6.1886548790943E+28 + 0 ∙ 1.0314424798491E+28 + 0 ∙ 1.7190707997484E+27 + 0 ∙ 2.8651179995807E+26 + 0 ∙ 4.7751966659678E+25 + 0 ∙ 7.9586611099464E+24 + 0 ∙ 1.3264435183244E+24 + 0 ∙ 2.2107391972073E+23 + 0 ∙ 3.6845653286789E+22 + 0 ∙ 6.1409422144648E+21 + 0 ∙ 1.0234903690775E+21 + 0 ∙ 1.7058172817958E+20 + 0 ∙ 2.843028802993E+19 + 0 ∙ 4738381338321616896 + 0 ∙ 789730223053602816 + 0 ∙ 131621703842267136 + 0 ∙ 21936950640377856 + 0 ∙ 3656158440062976 + 0 ∙ 609359740010496 + 0 ∙ 101559956668416 + 0 ∙ 16926659444736 + 0 ∙ 2821109907456 + 0 ∙ 470184984576 + 0 ∙ 78364164096 + 0 ∙ 13060694016 + 0 ∙ 2176782336 + 0 ∙ 362797056 + 0 ∙ 60466176 + 0 ∙ 10077696 + 0 ∙ 1679616 + 0 ∙ 279936 + 0 ∙ 46656 + 0 ∙ 7776 + 0 ∙ 1296 + 0 ∙ 216 + 0 ∙ 36 + 0 ∙ 6 + 0 ∙ 1 = 2.8873788203902E+33 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 2.8873788203902E+3310
Таким образом:
100000000000000000000000000000000000000000006 = 2.8873788203902E+3310.