Numbers 710,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

[1M] & [10M] & [100M- [200M] - [300M] - [400M] - [500M] - [600M] - [700M] - [800M] - [900M]  & [1B]

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711,111,117

[Math.]

8×8+13 = 77

88×8+13 = 717

888×8+13 = 7117

8888×8+13 = 71117

88,888×8+13 = 711,117

888,888×8+13 = 7,111,117

8,888,888×8+13 = 71,111,117

88,888,888×8+13 = 711,111,117

888,888,888×8+13 = 7,111,111,117

8,888,888,888×8+13 = 71,111,111,117

...

712,890,625

[Math.]  Its odd powers end with 712,890,625.  Its even powers end with 212,890,625.

714,653,289

[Math.]  267332 = 714,653,289, one of thirty 9-digit square numbers using all 9 digits 1-9 once.

716,049,382

[Math.] Multiples of 012345679 by 4, 13, 22, 31, 40, 49, 58, 67 and 76 will yield all 9 rotations of 049382716: 049382716, 160493827, 271604938, 382716049, 493827160, 604938271, 716049382, 827160493 and 938271604. All numbers are missing digit 5.

718,025,616

[Math.]  Sum of the first 231 cube numbers:

13+23+…+2313 = 718,025,616 = (1+2+…+231)2 = 26,7962.

xyz,abc,def

[Math.]  For any xyz = 100 to 999, there are always six 6-digit numbers abc,edf such that the sum (xyz+abc,def) is equal to one of 6 digit-rotations of 142,857 and the number  xyz,abc,def is a multiple of 142,857.

For any xyz = 100 to 999, there are always twelve 6-digit numbers abc,edf such that the sum (xyz+abc,def) is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number xyz,abc,def is a multiple of 76,923.