Numbers 110,000,000,000s

 110,028,207,025   

[Math.]  Sum of the first 814 cube numbers:

13+…+8143 = 110,028,207,025 = (1+…+814)2 = 331,7052.

 

110,338,830,385

[Math.]  Two consecutive sums of consecutive square numbers:

110,338,830,385 = 298902+…+300122 = 300132+…+301342.

 

110,569,550,400   

[Math.]  Sum of the first 815 cube numbers:

13+…+8153 = 110,569,550,400 = (1+…+815)2 = 332,5202.

  

111,000,000,000s (separate page)

 

112,205,570,841   

[Math.]   Sum of the first 818 cube numbers:

13+…+8183 = 112,205,570,841 = (1+…+818)2 = 334,9712.

 

112,754,924,100   

[Math.]   Sum of the first 819 cube numbers:

13+…+8193 = 112,754,924,100 = (1+…+819)2 = 335,7902.

 

113,306,292,100   

[Math.]   Sum of the first 820 cube numbers:

13+…+8203 =  113,306,292,100 = (1+…+820)2 = 336,6102.

 

 113,366,216,601 & 136,899,260,001

[Math.]

3692 = 136,161

36992 = 13682601

36,9992 = 1368926001                                                  

3699992 = 136899260001

36999992 = 13689992600001

369999992 = 1368999926000001

3699999992 = 136899999260000001

36999999992 = 13689999992600000001                          

369999999992 = 1368999999926000000001

3366992 = 113366,216601

336699992 = 11336688,32660001

33669999992 = 1133668899,3266000001                        

3366999999992 = 113366889999,326600000001

333,666,9992 = 111,333,666,221,666,001

333,666,999,9992 = 111,333,666,888,332,666,000,001

333,666,999,999,9992 = 111,333,666,888,999,332,666,000,000,001

3333,6666,99992 = 1111,3333,6666,2221,6666,0001

3333,6666,9999,99992 = 1111,3333,6666,8888,3332,6666,0000,0001

       

113,859,679,761   

[Math.]    Sum of the first 821 cube numbers:

13+…+8213 =  113,859,679,761 = (1+…+821)2 = 337,4312.

 

114,415,092,009   

[Math.]    Sum of the first 822 cube numbers:

13+…+8223 =  114,415,092,009 = (1+…+822)2 = 338,2532.

 

114,916,638,850

[Math.]   Two consecutive sums of consecutive square numbers:

114,916,638,850 = 303812+…+305042 = 305052+…+306272.

 

114,972,533,776   

[Math.]  Sum of the first 823 cube numbers:

13+…+8233 =  114,972,533,776 = (1+…+823)2 = 339,0762.

 

115,532,010,000   

[Math.]  Sum of the first 824 cube numbers:

13+…+8243 =  115,532,010,000 = (1+…+824)2 = 339,9002.

 

116,093,525,625   

[Math.]  Sum of the first 825 cube numbers:

13+…+8253 =  116,093,525,625 = (1+…+825)2 = 340,7252.

 

116,657,085,601   

[Math.]  Sum of the first 826 cube numbers:

13+…+8263 =  116,657,085,601 = (1+…+826)2 = 341,5512.

 

116,788,321,168   

[Math.]  116,788,321,168 = 116,7882+321,1682 and

883,212,321,168 = 883,2122+321,1682, where 883,212+116,788 = 1,000,000.

 

117,222,694,884   

[Math.]  Sum of the first 827 cube numbers:

13+…+8273 =  117,222,694,884 = (1+…+827)2 = 342,3782.

 

117,790,358,436   

[Math.]  Sum of the first 828 cube numbers:

13+…+8283 =  117,790,358,436 = (1+…+828)2 = 343,2062.

 

118,360,081,225    

[Math.]  Sum of the first 829 cube numbers:

13+…+8293 =  118,360,081,225 = (1+…+829)2 = 344,0352.

 

118,931,868,225   

[Math.]  Sum of the first 830 cube numbers:

13+…+8303 =  118,931,868,225 = (1+…+830)2 = 344,8652.

 

119,218,851,371   

[Math.]  The 53rd Lucas number, the first greater than 1011.

 

119,505,724,416   

[Math.]  Sum of the first 831 cube numbers:

13+…+8313 =  119,505,724,416 = (1+…+831)2 = 345,6962.

 

119,645,143,250

[Math.]  Two consecutive sums of consecutive square numbers:

119,645,143,250 = 308762+…+310002 = 310012+…+311242.

 

xyz,wvu,abc,def

[Math.]  For any xyz,wvu = 100,000 to 142,856, there are always six 6-digit numbers abc,edf such that xyz,wvu +abc,def is equal to one of 6 digit-rotations of 142,857 and the number xyz,wvu,abc,def is a multiple of 142,857.