131464320
131,464,320 is an even composite number composed of six prime numbers multiplied together.
131464320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 131464320:
27 × 3 × 5 × 13 × 23 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 23 × 229)See below for interesting mathematical facts about the number 131464320 from the Numbermatics database.
Names of 131464320
- Cardinal: 131464320 can be written as One hundred thirty-one million, four hundred sixty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3146432 × 108
Factors of 131464320
Divisors of 131464320
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 32 39 40 46 48 52 60 64 65 69 78 80 92 96 104 115 120 128 130 138 156 160 184 192 195 208 229 230 240 260 276 299 312 320 345 368 384 390 416 458 460 480 520 552 598 624 640 687 690 736 780 832 897 916 920 960 1040 1104 1145 1196 1248 1374 1380 1472 1495 1560 1664 1794 1832 1840 1920 2080 2208 2290 2392 2496 2748 2760 2944 2977 2990 3120 3435 3588 3664 3680 4160 4416 4485 4580 4784 4992 5267 5496 5520 5954 5980 6240 6870 7176 7328 7360 8320 8832 8931 8970 9160 9568 10534 10992 11040 11908 11960 12480 13740 14352 14656 14720 14885 15801 17862 17940 18320 19136 21068 21984 22080 23816 23920 24960 26335 27480 28704 29312 29770 31602 35724 35880 36640 38272 42136 43968 44160 44655 47632 47840 52670 54960 57408 59540 63204 68471 71448 71760 73280 79005 84272 87936 89310 95264 95680 105340 109920 114816 119080 126408 136942 142896 143520 146560 158010 168544 178620 190528 191360 205413 210680 219840 238160 252816 273884 285792 287040 316020 337088 342355 357240 381056 410826 421360 439680 476320 505632 547768 571584 574080 632040 674176 684710 714480 821652 842720 952640 1011264 1027065 1095536 1143168 1264080 1369420 1428960 1643304 1685440 1905280 2022528 2054130 2191072 2528160 2738840 2857920 3286608 3370880 4108260 4382144 5056320 5477680 5715840 6573216 8216520 8764288 10112640 10955360 13146432 16433040 21910720 26292864 32866080 43821440 65732160 131464320
- Sum of all divisors σ(n): 472953600
- Sum of proper divisors (its aliquot sum) s(n): 341489280
- 131464320 is an abundant number, because the sum of its proper divisors (341489280) is greater than itself. Its abundance is 210024960
Bases of 131464320
- Binary: 1111101010111111100100000002
- Hexadecimal: 0x7D5FC80
- Base-36: 269QIO
Squares and roots of 131464320
- 131464320 squared (1314643202) is 17282867433062400
- 131464320 cubed (1314643203) is 2272080414737693933568000
-
The
square root of 131464320 is 11465.7891137069 -
The
cube root of 131464320 is 508.4746426697
Scales and comparisons
How big is 131464320?- 131,464,320 seconds is equal to 4 years, 9 weeks, 2 days, 13 hours, 52 minutes.
-
To count from 1 to 131,464,320 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 131464320 cubic inches would be around 42.4 feet tall.
Recreational maths with 131464320
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 131464320 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 131464320 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/131464320/
Chicago style:
Numbermatics. 2024. "Number 131464320 - Facts about the integer". https://numbermatics.com/n/131464320/
The information we have on file for 131464320 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 131464320, math, Factors of 131464320, curriculum, school, college, exams, university, Prime factorization of 131464320, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one million, four hundred sixty-four thousand, three hundred twenty.