122168970
122,168,970 is an even composite number composed of seven prime numbers multiplied together.
122168970 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 122168970:
2 × 32 × 5 × 7 × 11 × 172 × 61
(2 × 3 × 3 × 5 × 7 × 11 × 17 × 17 × 61)See below for interesting mathematical facts about the number 122168970 from the Numbermatics database.
Names of 122168970
- Cardinal: 122168970 can be written as One hundred twenty-two million, one hundred sixty-eight thousand, nine hundred seventy.
Scientific notation
- Scientific notation: 1.2216897 × 108
Factors of 122168970
Divisors of 122168970
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 5 6 7 9 10 11 14 15 17 18 21 22 30 33 34 35 42 45 51 55 61 63 66 70 77 85 90 99 102 105 110 119 122 126 153 154 165 170 183 187 198 210 231 238 255 289 305 306 315 330 357 366 374 385 427 462 495 510 549 561 578 595 610 630 671 693 714 765 770 854 867 915 935 990 1037 1071 1098 1122 1155 1190 1281 1309 1342 1386 1445 1530 1683 1734 1785 1830 1870 2013 2023 2074 2135 2142 2310 2562 2601 2618 2745 2805 2890 3111 3179 3355 3366 3465 3570 3843 3927 4026 4046 4270 4335 4697 5185 5202 5355 5490 5610 6039 6069 6222 6358 6405 6545 6710 6930 7259 7686 7854 8415 8670 9333 9394 9537 10065 10115 10370 10710 11407 11781 12078 12138 12810 13005 13090 14091 14518 15555 15895 16830 17629 18207 18666 19074 19215 19635 20130 20230 21777 22253 22814 23485 23562 26010 28182 28611 30195 30345 31110 31790 34221 35258 36295 36414 38430 39270 42273 43554 44506 46665 46970 47685 52887 57035 57222 58905 60390 60690 65331 66759 68442 70455 72590 79849 84546 88145 91035 93330 95370 102663 105774 108885 111265 114070 117810 123403 130662 133518 140910 143055 158661 159698 171105 176290 182070 193919 200277 205326 211365 217770 222530 239547 246806 264435 286110 317322 326655 333795 342210 370209 387838 399245 400554 422730 479094 513315 528870 581757 617015 653310 667590 718641 740418 793305 798490 969595 1001385 1026630 1110627 1163514 1197735 1234030 1357433 1437282 1586610 1745271 1851045 1939190 2002770 2221254 2395470 2714866 2908785 3490542 3593205 3702090 4072299 5553135 5817570 6787165 7186410 8144598 8726355 11106270 12216897 13574330 17452710 20361495 24433794 40722990 61084485 122168970
- Sum of all divisors σ(n): 427579776
- Sum of proper divisors (its aliquot sum) s(n): 305410806
- 122168970 is an abundant number, because the sum of its proper divisors (305410806) is greater than itself. Its abundance is 183241836
Bases of 122168970
- Binary: 1110100100000100110100010102
- Hexadecimal: 0x748268A
- Base-36: 20QI6I
Squares and roots of 122168970
- 122168970 squared (1221689702) is 14925257230860900
- 122168970 cubed (1221689703) is 1823403302879328366273000
-
The
square root of 122168970 is 11053.0072830881 -
The
cube root of 122168970 is 496.1964324501
Scales and comparisons
How big is 122168970?- 122,168,970 seconds is equal to 3 years, 45 weeks, 6 days, 23 hours, 49 minutes, 30 seconds.
-
To count from 1 to 122,168,970 would take you about five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 122168970 cubic inches would be around 41.3 feet tall.
Recreational maths with 122168970
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 122168970 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 122168970 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/122168970/
Chicago style:
Numbermatics. 2024. "Number 122168970 - Facts about the integer". https://numbermatics.com/n/122168970/
The information we have on file for 122168970 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 122168970, math, Factors of 122168970, curriculum, school, college, exams, university, Prime factorization of 122168970, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-two million, one hundred sixty-eight thousand, nine hundred seventy.