135142560
135,142,560 is an even composite number composed of six prime numbers multiplied together.
135142560 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135142560:
25 × 33 × 5 × 7 × 41 × 109
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 41 × 109)See below for interesting mathematical facts about the number 135142560 from the Numbermatics database.
Names of 135142560
- Cardinal: 135142560 can be written as One hundred thirty-five million, one hundred forty-two thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3514256 × 108
Factors of 135142560
Divisors of 135142560
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 41 42 45 48 54 56 60 63 70 72 80 82 84 90 96 105 108 109 112 120 123 126 135 140 144 160 164 168 180 189 205 210 216 218 224 240 246 252 270 280 287 288 315 327 328 336 360 369 378 410 420 432 436 480 492 504 540 545 560 574 615 630 654 656 672 720 738 756 763 820 840 861 864 872 945 981 984 1008 1080 1090 1107 1120 1148 1230 1260 1308 1312 1435 1440 1476 1512 1526 1635 1640 1680 1722 1744 1845 1890 1962 1968 2016 2160 2180 2214 2289 2296 2460 2520 2583 2616 2870 2943 2952 3024 3052 3270 3280 3360 3444 3488 3690 3780 3815 3924 3936 4305 4320 4360 4428 4469 4578 4592 4905 4920 5040 5166 5232 5535 5740 5886 5904 6048 6104 6540 6560 6867 6888 7380 7560 7630 7749 7848 8610 8720 8856 8938 9156 9184 9810 9840 10080 10332 10464 11070 11445 11480 11772 11808 12208 12915 13080 13407 13734 13776 14715 14760 15120 15260 15498 15696 17220 17440 17712 17876 18312 19620 19680 20601 20664 22140 22345 22890 22960 23544 24416 25830 26160 26814 27468 27552 29430 29520 30240 30520 30996 31283 31392 34335 34440 35424 35752 36624 38745 39240 40221 41202 41328 44280 44690 45780 45920 47088 51660 52320 53628 54936 58860 59040 61040 61992 62566 67035 68670 68880 71504 73248 77490 78480 80442 82404 82656 88560 89380 91560 93849 94176 103005 103320 107256 109872 117720 120663 122080 123984 125132 134070 137340 137760 143008 154980 156415 156960 160884 164808 177120 178760 183120 187698 201105 206010 206640 214512 219744 235440 241326 247968 250264 268140 274680 281547 309960 312830 321768 329616 357520 366240 375396 402210 412020 413280 429024 469245 470880 482652 500528 536280 549360 563094 603315 619920 625660 643536 659232 715040 750792 804420 824040 844641 938490 965304 1001056 1072560 1098720 1126188 1206630 1239840 1251320 1287072 1407735 1501584 1608840 1648080 1689282 1876980 1930608 2145120 2252376 2413260 2502640 2815470 3003168 3217680 3296160 3378564 3753960 3861216 4223205 4504752 4826520 5005280 5630940 6435360 6757128 7507920 8446410 9009504 9653040 11261880 13514256 15015840 16892820 19306080 22523760 27028512 33785640 45047520 67571280 135142560
- Sum of all divisors σ(n): 558835200
- Sum of proper divisors (its aliquot sum) s(n): 423692640
- 135142560 is an abundant number, because the sum of its proper divisors (423692640) is greater than itself. Its abundance is 288550080
Bases of 135142560
- Binary: 10000000111000011100101000002
- Hexadecimal: 0x80E1CA0
- Base-36: 28GKO0
Squares and roots of 135142560
- 135142560 squared (1351425602) is 18263511523353600
- 135142560 cubed (1351425603) is 2468177701855505289216000
-
The
square root of 135142560 is 11625.0832255085 -
The
cube root of 135142560 is 513.1732939383
Scales and comparisons
How big is 135142560?- 135,142,560 seconds is equal to 4 years, 15 weeks, 3 days, 3 hours, 36 minutes.
-
To count from 1 to 135,142,560 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 135142560 cubic inches would be around 42.8 feet tall.
Recreational maths with 135142560
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 135142560 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 135142560 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/135142560/
Chicago style:
Numbermatics. 2024. "Number 135142560 - Facts about the integer". https://numbermatics.com/n/135142560/
The information we have on file for 135142560 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 135142560, math, Factors of 135142560, curriculum, school, college, exams, university, Prime factorization of 135142560, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five million, one hundred forty-two thousand, five hundred sixty.