Numbers 990,000,000,000s

992,346,699,556                       

[Math.]   Sum of the first 1411 cube numbers:

13+…+14113 = 992,346,699,556 = (1+…+1411)2 = 996,1662 

 

992,817,266,176                       

[Math.]  (Sequence of numbers (10n–24), n ³ 3).

99762 = 99,520,576;

99763 = 992,817,266,176 and

99764 = 9,904,345,047,371,776...

 

997,983,018,081 

[Math.]  Sum of the first 1413 cube numbers:

13+23+…+14133 =  997,983,018,081 = (1+…+1413)2 = 998,9912.

 

997,901,469,657

[Math.]  997,901,469,657 = (9979+014)3 = 99933.

 

999,100,269,973                   

[Math.]   (Sequence of numbers (10n–3), n ³ 2)

999,100,269,973 = (9991+0+0+269+9+7+3)3 = 9,9973.

 

999,250,140,625                   

[Math.]  (Sequence of numbers 9…9625).

 999,6252 = 999,250,140,6252.

 

999,400,119,992                   

[Math.]   (Sequence of numbers (10n–2), n ³ 2).

999,400,119,992 = (9994–00+11–99+92)3 99982.

 

999,700,029,999       

[Math.]  The largest 12-digit cube number.

999,700,029,999 = (9997+0002)3 = 99993.

 

999,792,898,511       

[Math.]  The largest 12-digit pyramidal number (sum of all squares of integers from 1 to 14421):  999,792,898,511 = 12+22+…+144202+144212.

 

999,818,008,281  

[Math.]  (Sequence of numbers (10n–91), n ³ 3)

999,9092 = 999,818,008,281 = (999818+00+82+8+1)2 = (999818+0+0+8+2+81)2.

 

999,850,005,000       

[Math.]  Two consecutive sums of consecutive numbers (largest 12-digit):

99,980,001+…+99990000 = 99,990,001+…+99,999,999 = 999,850,005,000.

 

999,890,003,025                       

[Math.]  (Sequence of numbers (10n–55), n ³ 4).

9999452 = 999,890,003,025 = (999890+00+30+25)2.

 

999,952,000,576                       

[Math.]   (Sequence of numbers (10n–24), n ³ 3).

999,9762 = 999,952,000,576 (and the 3rd and 4th powers).

 

999,978,000,121                       

[Math.]   (Sequence of numbers (10n–11), n ³ 3).

999,978,000,121 = (999978+00012–1)2 = 9999892.

 

999,802,009,801

[Math.]  999,802,009,801 = (999802+00+98+01)2 = 9999012.

 

999,982,000,081                       

[Math.]   (Sequence of numbers (10n–9), n ³ 2)

999,982,000,081 = (999982+0000+8+1)2 = 999,9912.

 

999,990,000,025

[Math.]  999,9952 = 999,990,000,025.

 

999,992,000,016

[Math.]   999,9962 = 999,992,000,016.

 

999,998,000,001                       

[Math.]    The largest 12-digit square number.

999,998,000,001 = (999998+000001)2 = 999,9992.

 

999,998,999,999 

[Math.]  The reciprocal of numbers in the series 89, 9899, 998999… (i.e, of the form (102n–10n–1), for n ³ 1) contains n rightmost digit of the first nth Fibonacci numbers up to the second biggest n-digit Fibonacci number:

1/999,998,999,999 = 0.0000000000001000001000002000003000005000008…

 

999,999,000,000s (separate page)     &   999,999,999,990s (separate page)