131838720
131,838,720 is an even composite number composed of six prime numbers multiplied together.
131838720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131838720:
28 × 3 × 5 × 13 × 19 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 19 × 139)See below for interesting mathematical facts about the number 131838720 from the Numbermatics database.
Names of 131838720
- Cardinal: 131838720 can be written as One hundred thirty-one million, eight hundred thirty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3183872 × 108
Factors of 131838720
Divisors of 131838720
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 32 38 39 40 48 52 57 60 64 65 76 78 80 95 96 104 114 120 128 130 139 152 156 160 190 192 195 208 228 240 247 256 260 278 285 304 312 320 380 384 390 416 417 456 480 494 520 556 570 608 624 640 695 741 760 768 780 832 834 912 960 988 1040 1112 1140 1216 1235 1248 1280 1390 1482 1520 1560 1664 1668 1807 1824 1920 1976 2080 2085 2224 2280 2432 2470 2496 2641 2780 2964 3040 3120 3328 3336 3614 3648 3705 3840 3952 4160 4170 4448 4560 4864 4940 4992 5282 5421 5560 5928 6080 6240 6672 7228 7296 7410 7904 7923 8320 8340 8896 9035 9120 9880 9984 10564 10842 11120 11856 12160 12480 13205 13344 14456 14592 14820 15808 15846 16640 16680 17792 18070 18240 19760 21128 21684 22240 23712 24320 24960 26410 26688 27105 28912 29640 31616 31692 33360 34333 35584 36140 36480 39520 39615 42256 43368 44480 47424 49920 52820 53376 54210 57824 59280 63232 63384 66720 68666 72280 72960 79040 79230 84512 86736 88960 94848 102999 105640 106752 108420 115648 118560 126768 133440 137332 144560 158080 158460 169024 171665 173472 177920 189696 205998 211280 216840 231296 237120 253536 266880 274664 289120 316160 316920 338048 343330 346944 411996 422560 433680 462592 474240 507072 514995 533760 549328 578240 633840 676096 686660 693888 823992 845120 867360 948480 1014144 1029990 1098656 1156480 1267680 1373320 1387776 1647984 1690240 1734720 2028288 2059980 2197312 2312960 2535360 2746640 3295968 3380480 3469440 4119960 4394624 5070720 5493280 6591936 6938880 8239920 8789248 10141440 10986560 13183872 16479840 21973120 26367744 32959680 43946240 65919360 131838720
- Sum of all divisors σ(n): 480748800
- Sum of proper divisors (its aliquot sum) s(n): 348910080
- 131838720 is an abundant number, because the sum of its proper divisors (348910080) is greater than itself. Its abundance is 217071360
Bases of 131838720
- Binary: 1111101101110110011000000002
- Hexadecimal: 0x7DBB300
- Base-36: 26HREO
Squares and roots of 131838720
- 131838720 squared (1318387202) is 17381448091238400
- 131838720 cubed (1318387203) is 2291547868095313870848000
-
The
square root of 131838720 is 11482.1043367495 -
The
cube root of 131838720 is 508.9568837047
Scales and comparisons
How big is 131838720?- 131,838,720 seconds is equal to 4 years, 9 weeks, 6 days, 21 hours, 52 minutes.
-
To count from 1 to 131,838,720 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 131838720 cubic inches would be around 42.4 feet tall.
Recreational maths with 131838720
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 131838720 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 131838720 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/131838720/
Chicago style:
Numbermatics. 2024. "Number 131838720 - Facts about the integer". https://numbermatics.com/n/131838720/
The information we have on file for 131838720 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 131838720, math, Factors of 131838720, curriculum, school, college, exams, university, Prime factorization of 131838720, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one million, eight hundred thirty-eight thousand, seven hundred twenty.