Numbers 9,000,000,000s

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 ...

9,000,000,008

[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)

9,048,004,641

[Math.]   9,048,004,641 = (90480+04641)2 = 951212.

9,054,283,716

[Math.]   951542 = 9,054,283,716, a square number using each of 10 digits 0-9 once. (The 82nd of 87 such numbers).

9,075,610,756

[Math.]   Sum of the first 436 cube numbers:

13+…+4363 = 9,075,610,756 = (1+2+…+436)2 = 95,2662.

9,078,563,412

[Math.]   9,078,563,412 = 4,539,281,706×2.

9,095,224,500

[Math.]   Sum (in degrees) of all internal angles of a 50,529,027-side polygon. A regular 50529027-side polygon is constructible by using only straightedge and compass.

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.