noodle master pulls out very thin noodles. Every time he makes ramen, the steps are as follows: First, knead a piece of dough into a 1.6-meter-long cylindrical noodle stick, then fold it in half and stretch it to 1.6 meters, then fold it in half and stretch it to 1.6 meters, and then fold it in half and stretch it to 1.6 meters. ...and so on. The thickness (diameter) of the noodle pulled out at last is only 1/64 of the original noodle stick. What is the total length of these thin noodles pulled out by the noodle master? (Assuming that during the ramen process, the noodles are always kept in a cylindrical shape with uniform thickness, and there is no waste.)
一位拉面师傅，拉出的面条很细很细．他每次做拉面的步骤是这样的：先将一个面团搓成长1.6米的圆柱形面棍，然后对折拉长到1.6米，再对折拉长到1.6米，又再对折拉长到1.6米，…，如此继续进行下去．最后拉出的面条的粗细(直径)只有原先面棍的(1/64)，这位拉面师傅拉出的这些细面条的长度总和有多少米．(假设拉面过程中，面条始终保持为粗细均匀的圆柱形，而且没有任何浪费．)
<gadget id="calculator">1 / 4_096</gadget>
<output>1/4_096 = around 0.000244</output>

<gadget id="calculator">1.6 / (1/4_096)</gadget>
<output>6_553.6</output>

<result>6_553.6</result>