Numbers 130,000,000,000s

130,194,680,625   

[Math.]   Sum of the first 849 cube numbers:

13+…+8493 =  130,194,680,625 = (1+…+849)2 = 360,8252.

 

30,808,805,625   

[Math.]  Sum of the first 850 cube numbers:

13+…+8503 = 147,552,783,876 = (1+…+850)2 = 361,6752.

 

131,425,100,676   

[Math.]   Sum of the first 851 cube numbers:

13+…+8513 = 131,425,100,676 = (1+…+851)2 = 362,5262.

 

132,043,570,884   

[Math.]  Sum of the first 852 cube numbers:

13+…+8523 = 132,043,570,884 = (1+…+852)2 = 363,3782.

 

132,664,221,361   

[Math.]  Sum of the first 853 cube numbers:

13+…+8533 = 132,664,221,361 = (1+…+853)2 = 364,2312.

 

133,287,057,225   

[Math.]  Sum of the first 854 cube numbers:

13+…+8543 = 133,287,057,225 = (1+…+854)2 = 365,0852.

 

 133,333,333,334        

[Math.]  13,333,333,333,466,666,666,667 = 133,333,333,3342–66,666,666,6672 =

= (13333333334+66666666667)×66666666667. (Generalizable)

 

133,333,531,817 & 133,333,531,818        

[Math.]  133,333,531,817 = 1!2+2!2+3!2+4!2+5!2+6!2+7!2+8!2+9!2.

133,333,531,818 = 0!2+1!2+2!2+3!2+4!2+5!2+6!2+7!2+8!2+9!2.

 

133,912,083,600   

[Math.]  Sum of the first 855 cube numbers:

13+…+8553 = 133,912,083,600 = (1+…+855)2 = 365,9402.

 

133,974,300,625        

[Math.]  133,974,300,625 = (01+3397+43+00+625)4 = 6054.

 

134,539,305,616   

[Math.]  Sum of the first 856 cube numbers:

13+…+8563 =  134,539,305,616 = (1+…+856)2 = 366,7962.

 

134,772,034,240

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

134,772,034,240 = 323852+…+325122 = 325132+…+326392.

 

135,168,728,409   

[Math.]  Sum of the first 857 cube numbers:

13+…+8573 =  135,168,728,409 = (1+…+857)2 = 367,6532.

 

135,800,357,121   

[Math.]  Sum of the first 858 cube numbers:

13+…+8583 =  135,800,357,121 = (1+…+858)2 = 368,5112.

 

136,363,636,361   

[Math.]  Repeatedly inserting numbers 36 in the middle of the prime number 11 yields other prime numbers: 1361, 136,361, 13,636,361, 1,363,636,361 and 136,363,636,361.

 

136,434,196,900   

[Math.]  Sum of the first 859 cube numbers:

13+…+8593 =  136,434,196,900 = (1+…+859)2 = 369,3702

 

136,899,260,001 & 333,366,669,999 & 333,666,999,999 & 336,699,999,999

[Math.]

3692 = 136,161

36992 = 13682601

36,9992 = 1368926001                                                  

369,9992 = 136899260001

3,699,9992 = 13689992600001

36,999,9992 = 1368999926000001

369,999,9992 = 136899999260000001

3,699,999,9992 = 13689999992600000001                          

36,999,999,9992 = 1368999999926000000001

369,999,999,9992 = 136899999999260000000001

   

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


137,070,252,900   

[Math.]  Sum of the first 860 cube numbers:

13+…+8603 = 137,070,252,900 = (1+…+860)2 = 370,2302.  

 

137,438,691,328   

[Math.]  The 7th perfect number; i.e., a number equal to the sum of all of its proper divisors, including 1 (or also called aliquot divisors). The first perfect numbers are: 6, 28, 496, 8128, 212(213–1) = 33550336, 216(217–1) = 8,589,869,056, 218(219–1) = 137,438,691,328…

 

137,708,530,281   

[Math.]   Sum of the first 861 cube numbers:

13+…+8613 = 137,708,530,281 = (1+…+861)2 = 371,0912.  

 

137,858,491,849   

[Math.]   The 10th power of 13: 1310 = 137,858,491,849.

 

138,349,034,209   

[Math.]   Sum of the first 862 cube numbers:

13+…+8623 = 138,349,034,209 = (1+…+862)2 = 371,9532 

 

138,972,881,250   

[Math.]   138,972,881,250 = 21×33×55×77.

 

138,991,769,856   

[Math.]   Sum of the first 863 cube numbers:

13+…+8633 = 138,991,769,856 = (1+…+863)2 = 372,8162.  

 

139,149,151,157 & 157,151,149,139   

[Math.]   The numbers formed by 4 consecutive prime numbers 139, 149, 151 and 157 in increasing or decreasing orders are prime.

 

139,314,069,504        

[Math.]  139,314,069,504 = (1+39+3+1+4+0+6+9+5+0+4)6 = 726.

 

139,583,862,445   

[Math.]  The 55th Fibonacci number, the first greater than 1011. 

 

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.