Numbers 38,000,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

31,000,000,00032,000,000,000 – 33,000,000,00034,000,000,000

35,000,000,00036,000,000,00037,000,000,00038,000,000,00039,000,000,000

– [1B] –  [10B] –  [20B] – [30B] – [40B] – [50B] – [60B] – [70B] – [80B] – [90B] & [100B]

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

38,025,000,000

[Math.]  Sum of the first 624 cube numbers:

13+…+6243 = 38,025,000,000 = (1+…+624)2 = 195,0002.

38,034,750,625

[Math.]  The 7th square number that is the sum of squares of 2 consecutive numbers: 38,034,750,625 = 195,0252 = 1379032+1379042. Each root number in the series is 6 times the previous root number minus the earlier root number: 1, 52, 292, 1692, 9852...

Or in other words:

(137,903, 137,904, 195,025) is the 7th Pythagorean triple (lengths of 3 sides of a right triangle), where two sides are consecutive integers.

38,269,140,625

[Math.]  Sum of the first 625 cube numbers:

13+…+6253 = 38,269,140,625 = (1+…+625)2 = 195,6252.

38,514,455,001

[Math.]  Sum of the first 626 cube numbers:

13+…+6263 = 38,514,455,001 = (1+…+626)2 = 196,2512.

38,580,208,939

[Math.]  The square and cube of number 3379 use different digits: 33792 = 11,417,641 and 33793 = 38,580,208,939.

38,760,946,884

[Math.]  Sum of the first 627 cube numbers:

13+…+6273 = 38,760,946,884 = (1+…+627)2 = 196,8782.

xy,zwv,abc,def

[Math.]  For any xy,zwv = 10,000 to 99,999, there are always six 6-digit numbers abc,edf such that xy,zwv +abc,def is equal to one of 6 digit-rotations of 142,857 and the number xy,zwv,abc,def is a multiple of 142,857.

For any xy,zwv  = 10,000 to 76,922, there are always twelve 6-digit numbers abc,edf such that xy,zwv +abc,def is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number xy,zwv,abc,def is a multiple of 76,923.