401220820
401,220,820 is an even composite number composed of six prime numbers multiplied together.
401220820 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 401220820:
22 × 5 × 73 × 11 × 13 × 409
(2 × 2 × 5 × 7 × 7 × 7 × 11 × 13 × 409)See below for interesting mathematical facts about the number 401220820 from the Numbermatics database.
Names of 401220820
- Cardinal: 401220820 can be written as Four hundred one million, two hundred twenty thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 4.0122082 × 108
Factors of 401220820
Divisors of 401220820
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 343 364 385 409 455 490 539 572 637 686 715 770 818 910 980 1001 1078 1274 1372 1430 1540 1636 1715 1820 2002 2045 2156 2548 2695 2860 2863 3185 3430 3773 4004 4090 4459 4499 5005 5317 5390 5726 6370 6860 7007 7546 8180 8918 8998 10010 10634 10780 11452 12740 14014 14315 15092 17836 17996 18865 20020 20041 21268 22295 22495 26585 28028 28630 31493 35035 37219 37730 40082 44590 44990 49049 53170 57260 58487 62986 70070 74438 75460 80164 89180 89980 98098 100205 106340 116974 125972 140140 140287 148876 157465 186095 196196 200410 220451 233948 245245 260533 280574 292435 314930 372190 400820 409409 440902 490490 521066 561148 584870 629860 701435 744380 818818 881804 980980 1042132 1102255 1169740 1302665 1402870 1543157 1637636 1823731 2047045 2204510 2605330 2805740 2865863 3086314 3647462 4094090 4409020 5210660 5731726 6172628 7294924 7715785 8188180 9118655 11463452 14329315 15431570 18237310 20061041 28658630 30863140 36474620 40122082 57317260 80244164 100305205 200610410 401220820
- Sum of all divisors σ(n): 1157184000
- Sum of proper divisors (its aliquot sum) s(n): 755963180
- 401220820 is an abundant number, because the sum of its proper divisors (755963180) is greater than itself. Its abundance is 354742360
Bases of 401220820
- Binary: 101111110101000100100110101002
- Hexadecimal: 0x17EA24D4
- Base-36: 6MVJYS
Squares and roots of 401220820
- 401220820 squared (4012208202) is 160978146401472400
- 401220820 cubed (4012208203) is 64587783901278805535368000
-
The
square root of 401220820 is 20030.4972479467 -
The
cube root of 401220820 is 737.5551283123
Scales and comparisons
How big is 401220820?- 401,220,820 seconds is equal to 12 years, 39 weeks, 2 days, 18 hours, 13 minutes, 40 seconds.
-
To count from 1 to 401,220,820 would take you about nineteen 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 401220820 cubic inches would be around 61.5 feet tall.
Recreational maths with 401220820
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 401220820 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 401220820 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/401220820/
Chicago style:
Numbermatics. 2024. "Number 401220820 - Facts about the integer". https://numbermatics.com/n/401220820/
The information we have on file for 401220820 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 401220820, math, Factors of 401220820, curriculum, school, college, exams, university, Prime factorization of 401220820, STEM, science, technology, engineering, physics, economics, calculator, four hundred one million, two hundred twenty thousand, eight hundred twenty.