Numbers 9,800,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

9,100,000,0009,200,000,0009,300,000,0009,400,000,000

9,500,000,0009,600,000,0009,700,000,0009,800,000,000 – 9,900,000,000

[1B] – [2B] – [3B] – [4B] – [5B] – [6B] – [7B] – [8B]  – [9B] & [10B]

1  - 10 - 100  - 1000 - 10,000 - 100,000 - 1M - 10M - 100M1B10B - 100B - 1T - 10T - 100T - 1Q ...

9,812,123,450

[Math.]   Two consecutive sums of consecutive square numbers:

9,812,123,450 = 113252+…+114002 = 114012+…+114752.

9,814,072,356

[Math.]   990662 = 9,814,072,356, a square number using each of 10 digits 0-9 once. (The largest of 87 such numbers).

9,847,585,225

[Math.]   Sum of the first 445 cube numbers:

13+…+4453 = 9,847,585,225 = (1+2+…+445)2 = 99,2352.

9,876,543,120

[Math.]   One of 27 special permutations of the pan-digital number 1,234,567,890: 123,456,789×80 = 9,876,543,120.

9,876,543,120

[Math.]  1,234,567,890×4,938,271,560 = 2,469,135,7802

2,469,135,780×9,876,543,120 = 4,938,271,5602Each number consists of all 10 digits from 0 to 9.

9,876,543,210

[Math.]   The largest number of 10 different digits.

9,876,543,210

[Math.]   One of six permutations of the pan-digital number 1,234,567,890:

987,654,321×10 = 9,876,543,210.

[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+90000000009 = 9,876,543,210,987,654,321

12,345,678,901,234,567,890×8+ 900000000090 = 98,765,432,109,876,543,210

...  (end of cycle) ...

[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

...

9,890,198,901 & 9,899,999,901

[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

(***)   1099999989×9 = 9899999901 & 1099999989×9899999901 = 32999999672

1099999989…1099999989×9 = 9899999901…9899999901 &

1099999989…1099999989×9899999901...9899999901 = 329999967…32999999672

(****)  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.

9,899,999,987

[Phone]   The largest possible telephone number in the U.S, that is a prime number: (989) 999-9987.

9,899,999,999

[Phone]   The largest possible telephone number in the U.S. (989) 999-9999.

x,yzw,abc,def

[Math.]  For any x,yzw = 1000 to 9999, there are always six 6-digit numbers abc,edf such that x,yzw +abc,def is equal to one of 6 digit-rotations of 142,857 and the number x,yzw,abc,def is a multiple of 142,857.

For any x,yzw = 1000 to 9999, there are always twelve 6-digit numbers abc,edf such that x,yzw +abc,def is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number x,yzw,abc,def is a multiple of 76,923.