Numbers 61,000,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

60,000,000,00061,000,000,00062,000,000,000 – 63,000,000,00064,000,000,000

65,000,000,00066,000,000,00067,000,000,00068,000,000,00069,000,000,000

All Numbers  – [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 ...

61,234,471,936

[Math.]  Sum of the first 703 cube numbers:

13+…+7033 = 61,234,471,936 = (1+…+703)2 = 247,4562.

 

61,583,385,600

[Math.]  Sum of the first 704 cube numbers:

13+…+7043 = 61,583,385,600 = (1+…+704)2 = 248,1602.

 

61,917,364,224

[Math.]  The 10th power of 12: 1210 = 61,917,364,224.

 

[Math.]  The first counter-example to disprove Euler’s conjecture that it always requires at least n terms (of nth power) to sum to an nth power, nontrivially. (Fermat’s Last Theorem is a special case for only 2 terms): 61,917,364,224 = 1445 = 1335+1105+845+275, (Lander & Parkin, 1966).

 

61,917,626,384

[Math.]  61,917,626,384 = 1210+86+42.

 

61,933,788,225

[Math.]  Sum of the first 705 cube numbers:

13+…+7053 = 61,933,788,225 = (1+…+705)2 = 248,8652.

 

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.