Neil Biggs chessboard
to the moon theory:
If you put a £1 coin on a chessboard and double up every square you will
have a pile high enough to reach the moon!
Coins |
mm |
m |
miles |
1000 miles |
mil miles |
bil miles |
Light years |
In real terms |
1 |
3 |
0.003 |
0.0 |
1.875E-09 |
1.875E-12 |
1.875E-15 |
3.17108E-19 |
|
2 |
6 |
0.006 |
0.0 |
3.75E-09 |
3.75E-12 |
3.75E-15 |
6.34216E-19 |
|
4 |
12 |
0.012 |
0.0 |
7.5E-09 |
7.5E-12 |
7.5E-15 |
1.26843E-18 |
|
8 |
24 |
0.024 |
0.0 |
1.5E-08 |
1.5E-11 |
1.5E-14 |
2.53686E-18 |
|
16 |
48 |
0.048 |
0.0 |
3E-08 |
3E-11 |
3E-14 |
5.07373E-18 |
|
32 |
96 |
0.096 |
0.0 |
6E-08 |
6E-11 |
6E-14 |
1.01475E-17 |
|
64 |
192 |
0.192 |
0.0 |
1.2E-07 |
1.2E-10 |
1.2E-13 |
2.02949E-17 |
|
128 |
384 |
0.384 |
0.0 |
2.4E-07 |
2.4E-10 |
2.4E-13 |
4.05898E-17 |
|
256 |
768 |
0.768 |
0.0 |
4.8E-07 |
4.8E-10 |
4.8E-13 |
8.11796E-17 |
|
512 |
1536 |
1.536 |
0.0 |
9.6E-07 |
9.6E-10 |
9.6E-13 |
1.62359E-16 |
|
1024 |
3072 |
3.072 |
0.0 |
1.92E-06 |
1.92E-09 |
1.92E-12 |
3.24719E-16 |
|
2048 |
6144 |
6.144 |
0.0 |
3.84E-06 |
3.84E-09 |
3.84E-12 |
6.49437E-16 |
|
4096 |
12288 |
12.288 |
0.0 |
7.68E-06 |
7.68E-09 |
7.68E-12 |
1.29887E-15 |
|
8192 |
24576 |
24.576 |
0.0 |
1.536E-05 |
1.536E-08 |
1.536E-11 |
2.59775E-15 |
|
16384 |
49152 |
49.152 |
0.0 |
3.072E-05 |
3.072E-08 |
3.072E-11 |
5.1955E-15 |
|
32768 |
98304 |
98.304 |
0.1 |
6.144E-05 |
6.144E-08 |
6.144E-11 |
1.0391E-14 |
|
65536 |
196608 |
196.608 |
0.1 |
0.0001229 |
1.229E-07 |
1.229E-10 |
2.0782E-14 |
|
131072 |
393216 |
393.216 |
0.2 |
0.0002458 |
2.458E-07 |
2.458E-10 |
4.1564E-14 |
|
262144 |
786432 |
786.432 |
0.5 |
0.0004915 |
4.915E-07 |
4.915E-10 |
8.3128E-14 |
|
524288 |
1572864 |
1572.864 |
1.0 |
0.000983 |
9.83E-07 |
9.83E-10 |
1.66256E-13 |
|
1048576 |
3145728 |
3145.728 |
2.0 |
0.0019661 |
1.966E-06 |
1.966E-09 |
3.32512E-13 |
|
2097152 |
6291456 |
6291.456 |
3.9 |
0.0039322 |
3.932E-06 |
3.932E-09 |
6.65024E-13 |
|
4194304 |
12582912 |
12582.91 |
7.9 |
0.0078643 |
7.864E-06 |
7.864E-09 |
1.33005E-12 |
|
8388608 |
25165824 |
25165.82 |
15.7 |
0.0157286 |
1.573E-05 |
1.573E-08 |
2.66009E-12 |
|
16777216 |
50331648 |
50331.65 |
31.5 |
0.0314573 |
3.146E-05 |
3.146E-08 |
5.32019E-12 |
|
33554432 |
1.01E+08 |
100663.3 |
62.9 |
0.0629146 |
6.291E-05 |
6.291E-08 |
1.06404E-11 |
London |
67108864 |
2.01E+08 |
201326.6 |
125.8 |
0.1258291 |
0.0001258 |
1.258E-07 |
2.12808E-11 |
|
1.34E+08 |
4.03E+08 |
402653.2 |
251.7 |
0.2516582 |
0.0002517 |
2.517E-07 |
4.25615E-11 |
|
2.68E+08 |
8.05E+08 |
805306.4 |
503.3 |
0.5033165 |
0.0005033 |
5.033E-07 |
8.5123E-11 |
|
5.37E+08 |
1.61E+09 |
1610613 |
1,006.6 |
1.006633 |
0.0010066 |
1.007E-06 |
4.29E+09 |
1.29E+10 |
8.59E+09 |
2.58E+10 |
25769804 |
16,106.1 |
16.106127 |
0.0161061 |
1.611E-05 |
2.72394E-09 |
|
1.72E+10 |
5.15E+10 |
51539608 |
32,212.3 |
32.212255 |
0.0322123 |
3.221E-05 |
5.44787E-09 |
|
3.44E+10 |
1.03E+11 |
1.03E+08 |
64,424.5 |
64.424509 |
0.0644245 |
6.442E-05 |
1.08957E-08 |
|
6.87E+10 |
2.06E+11 |
2.06E+08 |
128,849.0 |
128.84902 |
0.128849 |
0.0001288 |
2.17915E-08 |
|
1.37E+11 |
4.12E+11 |
4.12E+08 |
257,698.0 |
257.69804 |
0.257698 |
0.0002577 |
4.3583E-08 |
moon |
2.75E+11 |
8.25E+11 |
8.25E+08 |
515,396.1 |
515.39608 |
0.5153961 |
0.0005154 |
8.7166E-08 |
|
5.5E+11 |
1.65E+12 |
1.65E+09 |
1,030,792.2 |
1030.7922 |
1.0307922 |
0.0010308 |
1.74332E-07 |
|
1.1E+12 |
3.3E+12 |
3.3E+09 |
2,061,584.3 |
2061.5843 |
2.0615843 |
0.0020616 |
3.48664E-07 |
|
2.2E+12 |
6.6E+12 |
6.6E+09 |
4,123,168.6 |
4123.1686 |
4.1231686 |
0.0041232 |
6.97328E-07 |
|
4.4E+12 |
1.32E+13 |
1.32E+10 |
8,246,337.2 |
8246.3372 |
8.2463372 |
0.0082463 |
1.39466E-06 |
|
8.8E+12 |
2.64E+13 |
2.64E+10 |
16,492,674.4 |
16492.674 |
16.492674 |
0.0164927 |
2.78931E-06 |
|
1.76E+13 |
5.28E+13 |
5.28E+10 |
32,985,348.8 |
32985.349 |
32.985349 |
0.0329853 |
5.57862E-06 |
|
3.52E+13 |
1.06E+14 |
1.06E+11 |
65,970,697.7 |
65970.698 |
65.970698 |
0.0659707 |
1.11572E-05 |
|
7.04E+13 |
2.11E+14 |
2.11E+11 |
131,941,395.3 |
131941.4 |
131.9414 |
0.1319414 |
2.23145E-05 |
sun |
1.41E+14 |
4.22E+14 |
4.22E+11 |
263,882,790.7 |
263882.79 |
263.88279 |
0.2638828 |
4.4629E-05 |
|
2.81E+14 |
8.44E+14 |
8.44E+11 |
527,765,581.3 |
527765.58 |
527.76558 |
0.5277656 |
8.9258E-05 |
|
5.63E+14 |
1.69E+15 |
1.69E+12 |
1,055,531,162.7 |
1055531.2 |
1055.5312 |
1.0555312 |
0.000178516 |
|
1.13E+15 |
3.38E+15 |
3.38E+12 |
2,111,062,325.3 |
2111062.3 |
2111.0623 |
2.1110623 |
0.000357032 |
|
2.25E+15 |
6.76E+15 |
6.76E+12 |
4,222,124,650.7 |
4222124.7 |
4222.1247 |
4.2221247 |
0.000714064 |
|
4.5E+15 |
1.35E+16 |
1.35E+13 |
8,444,249,301.3 |
8444249.3 |
8444.2493 |
8.4442493 |
0.001428127 |
|
9.01E+15 |
2.7E+16 |
2.7E+13 |
16,888,498,602.6 |
16888499 |
16888.499 |
16.888499 |
0.002856255 |
|
1.8E+16 |
5.4E+16 |
5.4E+13 |
33,776,997,205.3 |
33776997 |
33776.997 |
33.776997 |
0.005712509 |
|
3.6E+16 |
1.08E+17 |
1.08E+14 |
67,553,994,410.6 |
67553994 |
67553.994 |
67.553994 |
0.011425019 |
|
7.21E+16 |
2.16E+17 |
2.16E+14 |
135,107,988,821.1 |
135107989 |
135107.99 |
135.10799 |
0.022850038 |
|
1.44E+17 |
4.32E+17 |
4.32E+14 |
270,215,977,642.2 |
270215978 |
270215.98 |
270.21598 |
0.045700075 |
|
2.88E+17 |
8.65E+17 |
8.65E+14 |
540,431,955,284.5 |
540431955 |
540431.96 |
540.43196 |
0.091400151 |
|
5.76E+17 |
1.73E+18 |
1.73E+15 |
1,080,863,910,568.9 |
1.081E+09 |
1080863.9 |
1080.8639 |
0.182800302 |
|
1.15E+18 |
3.46E+18 |
3.46E+15 |
2,161,727,821,137.8 |
2.162E+09 |
2161727.8 |
2161.7278 |
0.365600604 |
|
2.31E+18 |
6.92E+18 |
6.92E+15 |
4,323,455,642,275.7 |
4.323E+09 |
4323455.6 |
4323.4556 |
0.731201208 |
|
4.61E+18 |
1.38E+19 |
1.38E+16 |
8,646,911,284,551.4 |
8.647E+09 |
8646911.3 |
8646.9113 |
1.462402416 |
|
9.22E+18 |
2.77E+19 |
2.77E+16 |
17,293,822,569,102.7 |
1.729E+10 |
17293823 |
17293.823 |
2.924804832 |
Alpha Centauri |
|
|