Numbers 980,000,000,000s

981,145,718,784

[Math.]    Sum of the first 1407 cube numbers:

13+…+14073 =981,145,718,784 = (1+…+1407)2 = 990,5282.

 

983,937,028,096   

[Math.]    Sum of the first 1408 cube numbers:

13+…+14083 =983,937,028,096 = (1+…+1408)2 = 991,9362.

 

986,734,289,025   

[Math.]    Sum of the first 1409 cube numbers:

13+…+14093 =986,734,289,025 = (1+…+1409)2 = 993,3452.

  

987,654,321,098

[Math.]

1×8+1 = 9

12×8+2 = 98

123×8+3 = 987

1,234×8+4 = 9,876

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 a new cycle)

12,345,678,901×8+901 = 98,765,432,109

123,456,789,012×8+9,002 = 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)

 

987,654,320,988

[Math.]

9×9+(9–2) = 88

98×9+(9–3) = 888

987×9+(9–4) = 8,888

9,876×9+(9–5) = 88,888

98,765×9+(9–6) = 888,888

987,654×9+(9–7) = 8,888,888

9,876,543×9+(9–8) = 88,888,888

98,765,432×9+(9–9) = 888,888,888

987,654,321×9+(9–10) = 8,888,888,888

9,876,543,210×9+(9–11) = 88,888,888,888

98,765,432,099×9+(9–12) = 888,888,888,888  = 98,765,432,100×9–12.

987,654,320,988×9+(9–13) = 8,888,888,888,888

9,876,543,209,877×9+(9–14) = 88,888,888,888,888

 

 

989,444,005,264   

[Math.]    28,005,264 = (28+005264)2 = 52922 and

989,444,005,264 = (989444+005264)2 = 994,7082 and 5292+994708 = 1,000,000.

 

989,537,510,025   

[Math.]    Sum of the first 1410 cube numbers:

13+…+14103 = 989,537,510,025 = (1+…+1410)2 = 994,7552.

 

980,198,019,801, 989,901,989,901 & 989,999,999,901

[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

 

(***)   109999999989×9 = 989999999901 &

109999999989×989999999901 = 3299999999672

109999999989…10999999989×9 = 989999999901…989999999901 &

109999999989…109999999989×989999999901...989999999901 =

                       = 3299999967…3299999999672

 

(****)  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.