131353200
131,353,200 is an even composite number composed of six prime numbers multiplied together.
131353200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 131353200:
24 × 32 × 52 × 11 × 31 × 107
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 31 × 107)See below for interesting mathematical facts about the number 131353200 from the Numbermatics database.
Names of 131353200
- Cardinal: 131353200 can be written as One hundred thirty-one million, three hundred fifty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.313532 × 108
Factors of 131353200
Divisors of 131353200
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 31 33 36 40 44 45 48 50 55 60 62 66 72 75 80 88 90 93 99 100 107 110 120 124 132 144 150 155 165 176 180 186 198 200 214 220 225 240 248 264 275 279 300 310 321 330 341 360 372 396 400 428 440 450 465 495 496 528 535 550 558 600 620 642 660 682 720 744 775 792 825 856 880 900 930 963 990 1023 1070 1100 1116 1177 1200 1240 1284 1320 1364 1395 1488 1550 1584 1605 1650 1705 1712 1800 1860 1926 1980 2046 2140 2200 2232 2325 2354 2475 2480 2568 2640 2675 2728 2790 3069 3100 3210 3300 3317 3410 3531 3600 3720 3852 3960 4092 4280 4400 4464 4650 4708 4815 4950 5115 5136 5350 5456 5580 5885 6138 6200 6420 6600 6634 6820 6975 7062 7440 7704 7920 8025 8184 8525 8560 9300 9416 9630 9900 9951 10230 10593 10700 11160 11770 12276 12400 12840 13200 13268 13640 13950 14124 15345 15408 16050 16368 16585 17050 17655 18600 18832 19260 19800 19902 20460 21186 21400 22320 23540 24075 24552 25575 25680 26536 27280 27900 28248 29425 29853 30690 32100 33170 34100 35310 36487 37200 38520 39600 39804 40920 42372 42800 47080 48150 49104 49755 51150 52965 53072 55800 56496 58850 59706 61380 64200 66340 68200 70620 72974 76725 77040 79608 81840 82925 84744 88275 94160 96300 99510 102300 105930 109461 111600 117700 119412 122760 128400 132680 136400 141240 145948 149265 153450 159216 165850 169488 176550 182435 192600 199020 204600 211860 218922 235400 238824 245520 248775 264825 265360 282480 291896 298530 306900 328383 331700 353100 364870 385200 398040 409200 423720 437844 470800 477648 497550 529650 547305 583792 597060 613800 656766 663400 706200 729740 746325 796080 847440 875688 912175 995100 1059300 1094610 1194120 1227600 1313532 1326800 1412400 1459480 1492650 1641915 1751376 1824350 1990200 2118600 2189220 2388240 2627064 2736525 2918960 2985300 3283830 3648700 3980400 4237200 4378440 5254128 5473050 5970600 6567660 7297400 8209575 8756880 10946100 11941200 13135320 14594800 16419150 21892200 26270640 32838300 43784400 65676600 131353200
- Sum of all divisors σ(n): 518109696
- Sum of proper divisors (its aliquot sum) s(n): 386756496
- 131353200 is an abundant number, because the sum of its proper divisors (386756496) is greater than itself. Its abundance is 255403296
Bases of 131353200
- Binary: 1111101010001001010011100002
- Hexadecimal: 0x7D44A70
- Base-36: 267CS0
Squares and roots of 131353200
- 131353200 squared (1313532002) is 17253663150240000
- 131353200 cubed (1313532003) is 2266323866506104768000000
-
The
square root of 131353200 is 11460.9423696309 -
The
cube root of 131353200 is 508.3313398351
Scales and comparisons
How big is 131353200?- 131,353,200 seconds is equal to 4 years, 9 weeks, 1 day, 7 hours.
-
To count from 1 to 131,353,200 would take you about six 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 131353200 cubic inches would be around 42.4 feet tall.
Recreational maths with 131353200
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 131353200 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 131353200 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/131353200/
Chicago style:
Numbermatics. 2024. "Number 131353200 - Facts about the integer". https://numbermatics.com/n/131353200/
The information we have on file for 131353200 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 131353200, math, Factors of 131353200, curriculum, school, college, exams, university, Prime factorization of 131353200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one million, three hundred fifty-three thousand, two hundred.