Numbers 160,000,000,000s

160,052,004,225   

[Math.]  Sum of the first 894 cube numbers:

13+…+8943 = 160,052,004,225 = (1+…+894)2 = 400,0652.  

 

160,768,921,600   

[Math.]  Sum of the first 895 cube numbers:

13+…+8953 = 160,768,921,600 = (1+…+895)2 = 400,9602.  

 

160,961,094,577   

[Math.]  A number that is the sum of two 4th powers in 2 ways:

160,961,094,577 = 2224+6314 = 5034+5584.

 

161,338,248,820        

[Math.]   161,338,248,820 = 119+317+515+713+911+119+137+155+173+191.

 

161,488,244,736   

[Math.]  Sum of the first 896 cube numbers:

13+…+8963 = 161,488,244,736 = (1+…+896)2 = 401,8562.  

 

161,816,447,364        

[Math.]  161,816,447,364 = 218+416+614+812+1010+128+146+164+182.

 

161,816,447,365        

[Math.]  161,816,447,365 = 020+218+416+614+812+1010+128+146+164+182+200.

 

162,209,979,009   

[Math.]    Sum of the first 897 cube numbers:

13+…+8973 = 162,209,979,009 = (1+…+897)2 = 402,7532 

 

162,536,496,481   

[Math.]  A prime number formed by 6 consecutive square numbers.

 

162,590,400,625   

[Math.]  6354 = 16,25,9,0400,625 is a concatenation of square numbers.

 

162,934,129,801   

[Math.]  Sum of the first 898 cube numbers:

13+…+8983 = 162,934,129,801 = (1+…+898)2 = 403,6512.  

 

163,353,737,470

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

163,353,737,470 = 349802+…+351122 = 351132+…+352442.

 

163,574,218,751        

[Math.]  Its odd powers end with 163,574,218,751. Its even powers end with 000,000,000,001.

 

163,660,702,500   

[Math.]    Sum of the first 899 cube numbers:

13+…+8993 = 163,660,702,500 = (1+…+899)2 = 404,5502 

 

163,840,000,000 

[Math.]  407 = 17+37+57+97+127+147+167+177+187+207+217+227+257+287+397 =

= 163,840,000,000. The smallest 7th power that can be expressed as the sum of 7th powers.

 

164,389,702,500   

[Math.]  Sum of the first 900 cube numbers:

13+…+9003 = 164,389,702,500 = (1+…+900)2 = 405,4502.

 

165,121,135,201   

[Math.]  Sum of the first 901 cube numbers:

13+…+9013 = 165,121,135,201 = (1+…+901)2 = 406,3512.

 

165,252,006,144

[Math.]  165,252,006,144 = 406,5122, each digit is duplicated. (References [15])

 

165,855,006,009   

[Math.]  Sum of the first 902 cube numbers:

13+…+9023 = 165,855,006,009 = (1+…+902)2 = 407,2532.

 

166,591,320,336   

[Math.]  Sum of the first 903 cube numbers:

13+…+9033 = 166,591,320,336 = (1+…+903)2 = 408,1562.

 

166,650,003,333   

[Math.]  166,650,003,333 = 16663+50003+33333. (Generalizable)

 

166,666,666,665   

[Math.]  Inserting 72 between 2 digits 2 in the square number 225 = 152 and repeatedly inserting numbers 72 between the digits 7 and 2 yields other squares 27225 = 1652, 2772225 = 16652, 277722225 = 166652, 27777222225 = 1666652

 

166,666,666,666        

[Math.]   166,666,666,666,500,000,000,000,333,333,333,333 =

= 166,666,666,6663+500,000,000,0003+333,333,333,3333.

1,000,000,000,000,000,000,166,666,666,666,500,000,000,000,333,333,333,333 =

= (1018)3+166,666,666,6663+500,000,000,0003+333,333,333,3333.

(Generalizable)

 

167,330,083,600   

[Math.]  Sum of the first 904 cube numbers:

13+…+9043 = 167,330,083,600 = (1+…+904)2 = 409,0602.

 

168,071,301,225   

[Math.]    Sum of the first 905 cube numbers:

13+…+9053 = 168,071,301,225 = (1+…+905)2 = 409,9652.

 

168,814,978,641   

[Math.]    Sum of the first 906 cube numbers:

13+…+9063 = 168,814,978,641 = (1+…+906)2 = 410,8712.

 

169,561,121,284   

[Math.]  Sum of the first 907 cube numbers:

13+…+9073 = 169,561,121,284 = (1+…+907)2 = 411,7782.

 

169,611,840,335

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

169,611,840,335 = 355112+…+356442 = 356452+…+357772.