1,000,000,000,000

[EECS]  FLOPS (FLoating Point Operations Per Second) is used for computer’s performance measurement. The standard units are: Megaflops (106 flops), Gigaflops (109 flops), Teraflops (1012 flops), Petaflops (1015 flops), Exaflops(1018 flops), Zettaflops (1021 flops) and Yottaflops (1024 flops)…

 

[Math.]  The smallest 13-digit square number = 1,000,0002.

The smallest 13-digit cube number = 10,0003.

 

[Science]   Prefix: T, Tera- = 1012.

 

[Science]  

American system

British system

Number

*****

septendecillion

10102

septendecillion

nonillion

1054

nonillion

quintillion

1030

quintillion

trillion

1018

trillion

billion

1012

billion

milliard

109

 

1,000,000,000,039

[Math.] The smallest prime number greater than 1012.

 

1,000,001,679,632

[Math.]  1,000,001,679,632 = 24+68+1012.

 

1,000,810,164,025

[Math.]  Sum of the first 1414 cube numbers:

13+23+…+14143 = 1,000,810,164,025 = (1+2+…+1414)2 = 1,000,4052.

 

1,012,658,227,848

[Math.]  8,101,265,822,784 = 8×1,012,658,227,848.

 

1,070,379,110,496 & 1,070,379,110,497 & 1,513,744,654,945

[Math.]  The 16th square number that is the sum of squares of 2 consecutive numbers: 1,070,379,110,4962+1,070,379,110,4972 = 1,513,744,654,9452. Each root number in the series is 6 times the previous root number minus the earlier root number: 1, 52, 292, 1692, 9852

Or in other words: (1,070,379,110,496, 1,070,379,110,497, 1,513,744,654,945) is the 16th Pythagorean triple (lengths of 3 sides of a right triangle), where 2 sides are consecutive integers.

 

1,099,999,999,989 & 3,299,999,999,967 & 9,899,999,999,901

[Math.]

(*)   332×9 = 1089×9 = 9,801 = 992 & 1089×9801 = 10,673,289 = 32672

1089…1089×9 = 9801…9801  & 1089…1089×9801…9801  = 3267…32672

 

(**)  10989×9 = 98901 & 10989×98901 = 1,086,823,089 = 329672

10989…10989×9 = 98901…98901 & 10989…10989×98901...98901 = 32967…329672

 ...

(***)   1,099,999,999,989×9 = 9,899,999,999,901 &

1,099,999,999,989×9,899,999,999,901 = 3,299,999,999,9672

1099999999989…109999999989×9 = 9899999999901…9899999999901 &

1099999999989…1099999999989×9899999999901...9899999999901 =

                       = 32999999967…32999999999672

 ...

(****)  109…989×9 = 989…901 & 109...989×989…901 = 329…9672

 109…989...109…989×9 = 989…901...989…901  &

  109…989…109…989×989…901...989…901 = 329…967…329…9672.

 

1,099,511,627,776

[Math.]  The 10th power of 16: 1610 = 1,099,511,627,776 = 240.

 

1,111,111,111,111 & 1234567654321

[Math.]

1×1 = 1

11×11 = 121

111×111 = 12321

1111×1111 = 1234321

11111×11111 = 123454321

111111×111111 = 12345654321         

1111111×1111111 = 1234567654321

11111111×11111111 = 123456787654321

111111111×111111111 = 12345678987654321

1111111111×1111111111 = 1234567900987654321

11111111111×11111111111 = 123456790120987654321

 

1,234,567,654,321

[Math.]  11111112 = 1,234,567,654,321.

 

[Math.]

121×(1+2+1) = 484 = 222

12,321×(1+2+3+2+1) = 110,889 = 3332

1,234,321×(1+2+3+4+3+2+1) = 19,749,136 = 4,4442

123,454,321×(1+2+3+4+5+4+3+2+1) = 3,086,358,025 = 55,5552

12,345,654,321×(1+2+3+4+5+6+5+4+3+2+1) = 444,443,555,556 = 666,6662

1,234,567,654,321×(1+2+3+4+5+6+7+6+5+4+3+2+1) =

= 60,493,815,061,729 = 7,777,7772

123,456,787,654,321×(1+2+3+4+5+6+7+8+7+6+5+4+3+2+1) =

= 7,901,234,409,876,544 = 88,888,8882

12,345,678,987,654,321×(1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1)

 = 999,999,998,000,000,001 = 999,999,9992.

 

1,234,567,890,123

[Math.]

1×8+1 = 9

12×8+2 = 98

123×8+3 = 987   

1234×8+4 = 9876

12,345×8+5 = 98,765

123,456×8+6 = 987,654

1,234,567×8+7 = 9,876,543

12,345,678×8+8 = 98,765,432

123,456,789×8+9 = 987,654,321

1,234,567,890×8+90 = 9,876,543,210

    (Start of new cycle)

12,345,678,901×8+901 = 98,765,432,109

123,456,789,012×8+9002 = 987,654,321,098

1,234,567,890,123×8+90,003 = 9,876,543,210,987

12,345,678,901,234×8+900,004 = 98,765,432,109,876

123,456,789,012,345×8+9,000,005 = 987,654,321,098,765

1,234,567,890,123,456×8+90,000,006 = 9,876,543,210,987,654

12,345,678,901,234,567×8+900,000,007 = 98,765,432,109,876,543

123,456,789,012,345,678×8+9,000,000,008 = 987,654,321,098,765,432

1,234,567,890,123,456,789×8+90,000,000,009 = 9,876,543,210,987,654,321

12,345,678,901,234,567,890×8+ 900,000,000,090 = 98,765,432,109,876,543,210

(end of cycle)  ...                                                                       

 

1,289,904,147,324

[Math.]  A Catalan number: C24 = 1,289,904,147,324.

 

1,292,061,882,721

[Math.]  The 8th square number that is the sum of squares of 2 consecutive numbers: 1,292,061,882,721 = 1,136,6892 = 8037602+8037612. Each root number in the series is 6 times the previous root number minus the earlier root number: 1, 52, 292, 1692, 9852...

Or in other words:  (803,760, 803,761 & 1,136,689) is the 8th Pythagorean triple (lengths of 3 sides of a right triangle), where 2 sides are consecutive integers.

 

1,428,571,428,571

[Math.]

1×7 + 3 = 10

14×7 + 2 = 100

142×7 + 6 = 1000

1428×7 + 4 = 10000

14285×7 + 5 = 100000

142857×7 + 1 = 1000000

 

1428571×7 + 3 = 10000000

14285714×7 + 2 = 100000000

142857142×7 + 6 = 1000000000

1428571428×7 + 4 = 10000000000

14285714285×7 + 5 = 100000000000

142857142857×7 + 1 = 1000000000000

 

1428571428571×7 + 3 = 10000000000000

14285714285714×7 + 2 = 100000000000000

142857142857142×7 + 6 = 1000000000000000

1428571428571428×7 + 4 = 10000000000000000

14285714285714285×7 + 5 = 100000000000000000

142857142857142857×7 + 1 = 1000000000000000000

 

 

1,513,744,654,945  

[Math.]  (See more above)

 

1,548,008,755,920

[Math.]  The 60th Fibonacci number. 

 

1,599,999,999,984 & 2,799,999,999,972 & 4,8999,999,999,951 & 7,839,843,200,784

[Math.]

7,683,984 = 1584×4851 = 27722                                                                    

782,432,784 = 15984×48951 = 279722

78,384,320,784 = 159984×489951 = 2799722

7,839,843,200,784 = 1599984×4899951 = 27999722

783,998,432,000,784 = 15999984×48999951 = 279999722

78,399,984,320,000,784 = 159999984×489999951 = 2799999722

7,839,999,843,200,000,784 = 1599999984×4899999951 = 27999999722

783,999,998,432,000,000,784 = 15999999984×48999999951 = 279999999722

78,399,999,984,320,000,000,784 = 159999999984×489999999951 = 2799999999722

 7839…9984320000784 = 159…999984×489…999951 = 279…9999722.

 

1,934,197,506,555

[Math.] The 48th Keith number: 1,934,197,506,555.