Pennies On A Chessboard

Imagine you have a choice of gifts: $1000.00 or a some pennies on a chessboard. The pennies are arranged on the squares of the chessboard in a pattern. The first square has 1 penny. The second square has 2 pennies. The third square has 4 pennies, etc. Which would you choose?

The table below shows the number of pennies on each square:

Square	Pennies
1	1
2	2
3	4
4	8
5	16
6	32
7	64
8	128
9	256
10	512
11	1024
12	2048
13	4096
14	8192
15	16384
16	32768
17	65536
18	131072
19	262144
20	524288
21	1048576
22	2097152
23	4194304
24	8388608
25	16777216
26	33554432
27	67108864
28	134217728
29	268435456
30	536870912
31	1073741824
32	2147483648
33	4294967296
34	8589934592
35	17179869184
36	34359738368
37	68719476736
38	137438953472
39	274877906944
40	549755813888
41	1099511627776
42	2199023255552
43	4398046511104
44	8796093022208
45	17592186044416
46	35184372088832
47	70368744177664
48	140737488355328
49	281474976710656
50	562949953421312
51	1125899906842624
52	2251799813685248
53	4503599627370496
54	9007199254740992
55	18014398509481984
56	36028797018963968
57	72057594037927936
58	144115188075855872
59	288230376151711744
60	576460752303423488
61	1152921504606846976
62	2305843009213693952
63	4611686018427387904
64	9223372036854775808

That implies a total sum of 1.84 x 10¹⁹ pennies or 184,000 trillion dollars!