Numbers 8,100,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

8,000,000,000 8,100,000,0008,200,000,0008,300,000,0008,400,000,000

8,500,000,0008,600,000,0008,700,000,0008,800,000,000 – 8,900,000,000

All Numbers[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 ...

8,100,000,000

[Math.]   (1+2+…+24)4 = [(15+25+…+245)+(17+27+…+247)]/2.

 

8,118,010,000

[Math.]   Sum of the first 424 cube numbers:

13+…+4243 = 8,118,010,000 = (1+2+…+424)2 = 90,1002.

 

8,125,940,736

[Math.]   901442 = 8,125,940,736, a square number using each of 10 digits 0-9 once. (The 75th of 87 such numbers).

 

8,127,563,409

[Math.]   901532 = 8,127,563,409, a square number using each of 10 digits 0-9 once. (The 76th of 87 such numbers).

 

8,135,679,204

[Math.]   901982 = 8,135,679,204, a square number using each of 10 digits 0-9 once. (The 77th of 87 such numbers).

 

8,194,775,625

[Math.]   Sum of the first 425 cube numbers:

13+…+4253 = 8,194,775,625 = (1+2+…+425)2 = 90,5252.

 

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.