Fun with numbers....

A friend of mine once said that if you put a checker on the first space on a checkerboard and doubled it, and kept this up, by the time you got to the last space, you would not have enough checkers in the world to place on that space. I thought I would find out. Here's what I found out:

A Checkerboard has 64 spaces.

So:

1: 1
2: 2
3: 4
4: 8
5: 16
6: 32
7: 64
8: 128
9: 256
10: 512
11: 1,024
12: 2,048
13: 4,096
14: 8,192
15: 16,384
16: 32,768
17: 65,536
18: 131,072
19: 262,144
20: 524,288
21: 1,048,576 (million)
22: 2,097,152
23: 4,194,304
24: 8,388,608
25: 16,777,216
26: 33,554,432
27: 67,108,864
28: 134,217,728
29: 268,435,456
30: 536,870,912
31: 1,073,741,824 (billion)
32: 2,147,483,648
33: 4,294,967,296
34: 8,589,934,592
35: 17,179,869,184
36: 34,359,738,368
37: 68,719,476,739
38: 137,438,953,472
39: 274,877,906,944
40: 549,755,813,888
41: 1,099,511,627,776 (trillion)
42: 2,199,023,255,552
43: 4,398,046,511,104
44: 8,796,093,022,208
45: 17,592,186,044,416
46: 35,184,372,088,832
47: 70,368,744,177,664
48: 140,737,488,355,328
49: 281,474,976,710,656
50: 562,949,953,421,312
51: 1,125,899,906,842,624 (quadrillion)
52: 2,251,799,813,685,248
53: 4,503,599,627,370,496
54: 9,007,199,254,740,992
55: 18,014,398,509,481,984
56: 36,028,797,018,963,968
57: 72,057,594,037,927,936
58: 144,115,188,075,855,872
59: 288,230,376,151,711,744
60: 576,460,752,303,423,488
61: 1,152,921,504,606,846,976 (quintillion)
62: 2,305,843,009,213,693,952
63: 4,611,686,018,427,387,904
64: 9,223,372,036,854,775,808

Now, here's the next question. If each space has that corresponding number, how many TOTAL checkers are on the board? Someone want to figure that out?

And if each checker is a half of an inch high, how high would the stack on the last square go?

If each checker is a half an ounce, how heavy much weight would the last square have to withstand?

Back to normal blogging soon.