Powers of Two (Math Lair)

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Powers of two appear frequently in calculation and in computer programming. Here is a list of the first few powers of two:

2⁰ = 1
2¹ = 2
2² = 4
2³ = 8
2⁴ = 16
2⁵ = 32
2⁶ = 64
2⁷ = 128
2⁸ = 256
2⁹ = 512
2¹⁰ = 1,024
2¹¹ = 2,048
2¹² = 4,096
2¹³ = 8,192
2¹⁴ = 16,384
2¹⁵ = 32,768
2¹⁶ = 65,536
2¹⁷ = 131,072
2¹⁸ = 262,144
2¹⁹ = 524,288
2²⁰ = 1,048,576
2²¹ = 2,097,152
2²² = 4,194,304
2²³ = 8,388,608
2²⁴ = 16,777,216
2²⁵ = 33,554,432
2²⁶ = 67,108,864
2²⁷ = 134,217,728
2²⁸ = 268,435,456
2²⁹ = 536,870,912
2³⁰ = 1,073,741,824
2³¹ = 2,147,483,648
2³² = 4,294,967,296
2³³ = 8,589,934,592
2³⁴ = 17,179,869,184
2³⁵ = 34,359,738,368
2³⁶ = 68,719,476,736
2³⁷ = 137,438,953,472
2³⁸ = 274,877,906,944
2³⁹ = 549,755,813,888
2⁴⁰ = 1,099,511,627,776
2⁴¹ = 2,199023255552
2⁴² = 4,398,046,511,104
2⁴³ = 8,796,093,022,208
2⁴⁴ = 17,592,186,044,416
2⁴⁵ = 35,184,372,088,832
2⁴⁶ = 70,368,744,177,664
2⁴⁷ = 140,737,488,355,328
2⁴⁸ = 281,474,976,710,656
2⁴⁹ = 562,949,953,421,312
2⁵⁰ = 1,125,899,906,842,624
2⁵¹ = 2,251,799,813,685,248
2⁵² = 4,503,599,627,370,496
2⁵³ = 9,007,199,254,740,992
2⁵⁴ = 18,014,398,509,481,984
2⁵⁵ = 36,028,797,018,963,968
2⁵⁶ = 72,057,594,037,927,936
2⁵⁷ = 144,115,188,075,855,872
2⁵⁸ = 288,230,376,151,711,744
2⁵⁹ = 576,460,752,303,423,488
2⁶⁰ = 1,152,921,504,606,846,976
2⁶¹ = 2,305,843,009,213,693,952
2⁶² = 4,611,686,018,427,387,904
2⁶³ = 9,223,372,036,854,775,808
2⁶⁴ = 18,446,744,073,709,551,616
2⁶⁵ = 36,893,488,147,419,103,232
2⁶⁶ = 73,786,976,294,838,206,464
2⁶⁷ = 147,573,952,589,676,412,928
2⁶⁸ = 295,147,905,179,352,825,856
2⁶⁹ = 590,295,810,358,705,651,712
2⁷⁰ = 1,180,591,620,717,411,303,424
2⁷¹ = 2,361,183,241,434,822,606,848
2⁷² = 4,722,366,482,869,645,213,696
2⁷³ = 9,444,732,965,739,290,427,392
2⁷⁴ = 18,889,465,931,478,580,854,784
2⁷⁵ = 37,778,931,862,957,161,709,568
2⁷⁶ = 75,557,863,725,914,323,419,136
2⁷⁷ = 151,115,727,451,828,646,838,272
2⁷⁸ = 302,231,454,903,657,293,676,544
2⁷⁹ = 604,462,909,807,314,587,353,088
2⁸⁰ = 1,208,925,819,614,629,174,706,176
2⁸¹ = 2,417,851,639,229,258,349,412,352
2⁸² = 4,835,703,278,458,516,698,824,704
2⁸³ = 9,671,406,556,917,033,397,649,408
2⁸⁴ = 19,342,813,113,834,066,795,298,816
2⁸⁵ = 38,685,626,227,668,133,590,597,632
2⁸⁶ = 77,371,252,455,336,267,181,195,264
2⁸⁷ = 154,742,504,910,672,534,362,390,528
2⁸⁸ = 309,485,009,821,345,068,724,781,056
2⁸⁹ = 618,970,019,642,690,137,449,562,112
2⁹⁰ = 1,237,940,039,285,380,274,899,124,224
2⁹¹ = 2,475,880,078,570,760,549,798,248,448
2⁹² = 4,951,760,157,141,521,099,596,496,896
2⁹³ = 9,903,520,314,283,042,199,192,993,792
2⁹⁴ = 19,807,040,628,566,084,398,385,987,584
2⁹⁵ = 39,614,081,257,132,168,796,771,975,168
2⁹⁶ = 79,228,162,514,264,337,593,543,950,336
2⁹⁷ = 158,456,325,028,528,675,187,087,900,672
2⁹⁸ = 316,912,650,057,057,350,374,175,801,344
2⁹⁹ = 633,825,300,114,114,700,748,351,602,688
2¹⁰⁰ = 1,267,650,600,228,229,401,496,703,205,376

2⁰	=	1
2¹	=	2
2²	=	4
2³	=	8
2⁴	=	16
2⁵	=	32
2⁶	=	64
2⁷	=	128
2⁸	=	256
2⁹	=	512
2¹⁰	=	1,024
2¹¹	=	2,048
2¹²	=	4,096
2¹³	=	8,192
2¹⁴	=	16,384
2¹⁵	=	32,768
2¹⁶	=	65,536
2¹⁷	=	131,072
2¹⁸	=	262,144
2¹⁹	=	524,288
2²⁰	=	1,048,576
2²¹	=	2,097,152
2²²	=	4,194,304
2²³	=	8,388,608
2²⁴	=	16,777,216
2²⁵	=	33,554,432
2²⁶	=	67,108,864
2²⁷	=	134,217,728
2²⁸	=	268,435,456
2²⁹	=	536,870,912
2³⁰	=	1,073,741,824
2³¹	=	2,147,483,648
2³²	=	4,294,967,296
2³³	=	8,589,934,592
2³⁴	=	17,179,869,184
2³⁵	=	34,359,738,368
2³⁶	=	68,719,476,736
2³⁷	=	137,438,953,472
2³⁸	=	274,877,906,944
2³⁹	=	549,755,813,888
2⁴⁰	=	1,099,511,627,776
2⁴¹	=	2,199023255552
2⁴²	=	4,398,046,511,104
2⁴³	=	8,796,093,022,208
2⁴⁴	=	17,592,186,044,416
2⁴⁵	=	35,184,372,088,832
2⁴⁶	=	70,368,744,177,664
2⁴⁷	=	140,737,488,355,328
2⁴⁸	=	281,474,976,710,656
2⁴⁹	=	562,949,953,421,312
2⁵⁰	=	1,125,899,906,842,624
2⁵¹	=	2,251,799,813,685,248
2⁵²	=	4,503,599,627,370,496
2⁵³	=	9,007,199,254,740,992
2⁵⁴	=	18,014,398,509,481,984
2⁵⁵	=	36,028,797,018,963,968
2⁵⁶	=	72,057,594,037,927,936
2⁵⁷	=	144,115,188,075,855,872
2⁵⁸	=	288,230,376,151,711,744
2⁵⁹	=	576,460,752,303,423,488
2⁶⁰	=	1,152,921,504,606,846,976
2⁶¹	=	2,305,843,009,213,693,952
2⁶²	=	4,611,686,018,427,387,904
2⁶³	=	9,223,372,036,854,775,808
2⁶⁴	=	18,446,744,073,709,551,616
2⁶⁵	=	36,893,488,147,419,103,232
2⁶⁶	=	73,786,976,294,838,206,464
2⁶⁷	=	147,573,952,589,676,412,928
2⁶⁸	=	295,147,905,179,352,825,856
2⁶⁹	=	590,295,810,358,705,651,712
2⁷⁰	=	1,180,591,620,717,411,303,424
2⁷¹	=	2,361,183,241,434,822,606,848
2⁷²	=	4,722,366,482,869,645,213,696
2⁷³	=	9,444,732,965,739,290,427,392
2⁷⁴	=	18,889,465,931,478,580,854,784
2⁷⁵	=	37,778,931,862,957,161,709,568
2⁷⁶	=	75,557,863,725,914,323,419,136
2⁷⁷	=	151,115,727,451,828,646,838,272
2⁷⁸	=	302,231,454,903,657,293,676,544
2⁷⁹	=	604,462,909,807,314,587,353,088
2⁸⁰	=	1,208,925,819,614,629,174,706,176
2⁸¹	=	2,417,851,639,229,258,349,412,352
2⁸²	=	4,835,703,278,458,516,698,824,704
2⁸³	=	9,671,406,556,917,033,397,649,408
2⁸⁴	=	19,342,813,113,834,066,795,298,816
2⁸⁵	=	38,685,626,227,668,133,590,597,632
2⁸⁶	=	77,371,252,455,336,267,181,195,264
2⁸⁷	=	154,742,504,910,672,534,362,390,528
2⁸⁸	=	309,485,009,821,345,068,724,781,056
2⁸⁹	=	618,970,019,642,690,137,449,562,112
2⁹⁰	=	1,237,940,039,285,380,274,899,124,224
2⁹¹	=	2,475,880,078,570,760,549,798,248,448
2⁹²	=	4,951,760,157,141,521,099,596,496,896
2⁹³	=	9,903,520,314,283,042,199,192,993,792
2⁹⁴	=	19,807,040,628,566,084,398,385,987,584
2⁹⁵	=	39,614,081,257,132,168,796,771,975,168
2⁹⁶	=	79,228,162,514,264,337,593,543,950,336
2⁹⁷	=	158,456,325,028,528,675,187,087,900,672
2⁹⁸	=	316,912,650,057,057,350,374,175,801,344
2⁹⁹	=	633,825,300,114,114,700,748,351,602,688
2¹⁰⁰	=	1,267,650,600,228,229,401,496,703,205,376