Numbers 5,000,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

5,100,000,0005,200,000,0005,300,000,0005,400,000,000

5,500,000,0005,600,000,0005,700,000,0005,800,000,000 – 5,900,000,000

[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 ...

5,000,000,000

[Math.]   166,666,666,650,000,000,003,333,333,333 =

= 1,666,666,6663+5,000,000,0003+3,333,333,3333.

1,000,000,000,000,000,166,666,666,650,000,000,003,333,333,333

= (1015)3+1,666,666,6663+5,000,000,0003+3,333,333,3333.

= (1015)3+1,666,666,6663+5,000,000,0003+3,333,333,3333. (Generalizable)

5,000,050,000

[Math.]  (Sequence of numbers 49…950…0 and 50…050…0).

24,999,500,002,500,000,000 = (2,499,950,000+2,500,000,000)2 = 4,999,950,0002 and 25,000,500,002,500,000,000 = (2,500,050,000+2,500,000,000)2 = 5,000,050,0002 and 4,999,950,000+5,000,050,000 = 10,000,000,000.

5,023,407,376

[Math.]   Sum of the first 376 cube numbers:

13+…+3763 = 5,023,407,376 = (1+2+…+376)2 = 70,8762.

5,061,728,349

[Math.]   One of 27 special permutations of the pan-digital number 1,234,567,890: 123,456,789×41 = 5,061,728,349.

5,076,990,009

[Math.]   Sum of the first 377 cube numbers:

13+…+3773 = 5,076,990,009 = (1+2+…+377)2 = 71,2532

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.