13142332624118040
13,142,332,624,118,040 is an even composite number composed of five prime numbers multiplied together.
What does the number 13142332624118040 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1280 divisors.
13142332624118040 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 13142332624118040:
23 × 37 × 5 × 74 × 3973
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 397 × 397 × 397)See below for interesting mathematical facts about the number 13142332624118040 from the Numbermatics database.
Names of 13142332624118040
- Cardinal: 13142332624118040 can be written as Thirteen quadrillion, one hundred forty-two trillion, three hundred thirty-two billion, six hundred twenty-four million, one hundred eighteen thousand and forty.
Scientific notation
- Scientific notation: 1.314233262411804 × 1016
Factors of 13142332624118040
Divisors of 13142332624118040
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 49 54 56 60 63 70 72 81 84 90 98 105 108 120 126 135 140 147 162 168 180 189 196 210 216 243 245 252 270 280 294 315 324 343 360 378 392 397 405 420 441 486 490 504 540 567 588 630 648 686 729 735 756 794 810 840 882 945 972 980 1029 1080 1134 1176 1191 1215 1260 1323 1372 1458 1470 1512 1588 1620 1701 1715 1764 1890 1944 1960 1985 2058 2187 2205 2268 2382 2401 2430 2520 2646 2744 2779 2835 2916 2940 3087 3176 3240 3402 3430 3528 3573 3645 3780 3969 3970 4116 4374 4410 4536 4764 4802 4860 5103 5145 5292 5558 5670 5832 5880 5955 6174 6615 6804 6860 7146 7203 7290 7560 7938 7940 8232 8337 8505 8748 8820 9261 9528 9604 9720 10206 10290 10584 10719 10935 11116 11340 11907 11910 12005 12348 13230 13608 13720 13895 14292 14406 14580 15309 15435 15876 15880 16674 17010 17496 17640 17865 18522 19208 19453 19845 20412 20580 21438 21609 21870 22232 22680 23814 23820 24010 24696 25011 25515 26460 27783 27790 28584 28812 29160 30618 30870 31752 32157 33348 34020 35721 35730 36015 37044 38906 39690 40824 41160 41685 42876 43218 43740 46305 47628 47640 48020 50022 51030 52920 53595 55566 55580 57624 58359 59535 61236 61740 64314 64827 66696 68040 71442 71460 72030 74088 75033 76545 77812 79380 83349 83370 85752 86436 87480 92610 95256 96040 96471 97265 100044 102060 107163 107190 108045 111132 111160 116718 119070 122472 123480 125055 128628 129654 136171 138915 142884 142920 144060 150066 153090 155624 157609 158760 160785 166698 166740 172872 175077 178605 185220 192942 194481 194530 200088 204120 214326 214380 216090 222264 225099 233436 238140 250047 250110 257256 259308 272342 277830 285768 288120 289413 291795 300132 306180 315218 321570 324135 333396 333480 350154 357210 370440 375165 385884 388962 389060 408513 416745 428652 428760 432180 450198 466872 472827 476280 482355 500094 500220 518616 525231 535815 544684 555660 578826 583443 583590 600264 612360 630436 643140 648270 666792 675297 680855 700308 714420 750141 750330 771768 777924 778120 788045 817026 833490 857304 864360 868239 875385 900396 945654 953197 964710 972405 1000188 1000440 1050462 1071630 1089368 1103263 1111320 1125495 1157652 1166886 1167180 1225539 1250235 1260872 1286280 1296540 1350594 1361710 1400616 1418481 1428840 1447065 1500282 1500660 1555848 1575693 1576090 1634052 1666980 1736478 1750329 1750770 1800792 1891308 1906394 1929420 1944810 2000376 2025891 2042565 2100924 2143260 2206526 2250990 2315304 2333772 2334360 2364135 2451078 2500470 2593080 2626155 2701188 2723420 2836962 2859591 2894130 2917215 3000564 3001320 3151386 3152180 3268104 3309789 3333960 3376485 3472956 3500658 3501540 3676617 3750705 3782616 3812788 3858840 3889620 4051782 4085130 4201848 4255443 4286520 4341195 4413052 4501980 4667544 4727079 4728270 4765985 4902156 5000940 5250987 5252310 5402376 5446840 5516315 5673924 5719182 5788260 5834430 6001128 6077673 6127695 6302772 6304360 6619578 6752970 6945912 7001316 7003080 7092405 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65682762705 67559413068 67576434840 68115457620 70955256582 73583229048 75066014520 76023489195 78819315246 78839173980 81738549144 82781132679 83385673560 84449266335 85847100556 87577016940 91228187034 91955867787 91979036310 94607008776 96513447240 101364652260 102173186430 105092420328 106432884873 107308875695 110374843572 112599021780 118228972869 118258760970 121637582712 122607823716 122638715080 128770650834 131365525410 135118826136 136230915240 136842280551 137968554465 141910513164 150232425973 152046978390 153259779645 157638630492 157678347960 165562265358 168898532670 171694201112 175154033880 177388141455 182456374068 183911735574 183958072620 193155976251 197048288115 202729304520 204346372860 212865769746 214617751390 220749687144 225198043560 228070467585 236457945738 236517521940 245215647432 248343398037 257541301668 262731050820 273684561102 275867603361 275937108930 283821026328 300464851946 304093956780 306519559290 315277260984 319298654619 321926627085 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1824563740680 1839117355740 1915791927714 1931559762510 1986747184296 2128657697460 2206940826888 2235090582333 2253486389595 2317871715012 2364579457380 2483433980370 2554389236952 2575413016680 2704183667514 2736845611020 2758676033610 2897339643765 2980120776444 3004648519460 3192986546190 3310411240332 3311245307160 3476807572518 3605578223352 3678234711480 3725150970555 3831583855428 3863119525020 4056275501271 4138014050415 4257315394920 4470181164666 4506972779190 4635743430024 4729158914760 4789479819285 4966867960740 5215211358777 5408367335028 5473691222040 5517352067220 5794679287530 5960241552888 6009297038920 6385973092380 6620822480664 6705271746999 6760459168785 6953615145036 7450301941110 7663167710856 7726239050040 8112551002542 8276028100830 8692018931295 8940362329332 9013945558380 9578959638570 9933735921480 10430422717554 10816734670056 11034704134440 11175452911665 11589358575060 12168826503813 12771946184760 13410543493998 13520918337570 13907230290072 14900603882220 15645634076331 16225102005084 16552056201660 17384037862590 17880724658664 18027891116760 19157919277140 20281377506355 20860845435108 22350905823330 23178717150120 24337653007626 26076056793885 26821086987996 27041836675140 29801207764440 31291268152662 32450204010168 33104112403320 33526358734995 34768075725180 36506479511439 38315838554280 40562755012710 41721690870216 44701811646660 46936902228993 48675306015252 52152113587770 53642173975992 54083673350280 60844132519065 62582536305324 67052717469990 69536151450360 73012959022878 78228170381655 81125510025420 89403623293320 93873804457986 97350612030504 104304227175540 109519438534317 121688265038130 125165072610648 134105434939980 146025918045756 156456340763310 162251020050840 182532397557195 187747608915972 208608454351080 219038877068634 234684511144965 243376530076260 268210869879960 292051836091512 312912681526620 328558315602951 365064795114390 375495217831944 438077754137268 469369022289930 486753060152520 547597192671585 625825363053240 657116631205902 730129590228780 876155508274536 938738044579860 1095194385343170 1314233262411804 1460259180457560 1642791578014755 1877476089159720 2190388770686340 2628466524823608 3285583156029510 4380777541372680 6571166312059020 13142332624118040
- Sum of all divisors σ(n): 51867617932656000
- Sum of proper divisors (its aliquot sum) s(n): 38725285308537960
- 13142332624118040 is an abundant number, because the sum of its proper divisors (38725285308537960) is greater than itself. Its abundance is 25582952684419920
Bases of 13142332624118040
- Binary: 1011101011000011100001110000111001010010100001000110002
- Hexadecimal: 0x2EB0E1C394A118
- Base-36: 3LEKG9BFDI0
Squares and roots of 13142332624118040
- 13142332624118040 squared (131423326241180402) is 172720906802957367261887853441600
- 13142332624118040 cubed (131423326241180403) is 2269955608343758123286079375746463600978646464000
-
The
square root of 13142332624118040 is 114640013.1896278177 -
The
cube root of 13142332624118040 is 235988.4882833937
Scales and comparisons
How big is 13142332624118040?- 13,142,332,624,118,040 seconds is equal to 417,885,525 years, 28 weeks, 1 day, 15 hours, 54 minutes.
-
To count from 1 to 13,142,332,624,118,040 would take you about one billion, two hundred fifty-three million, six hundred fifty-six thousand, five hundred seventy-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 13142332624118040 cubic inches would be around 19665.7 feet tall.
Recreational maths with 13142332624118040
- 13142332624118040 backwards is 04081142623324131
- 13142332624118040 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13142332624118040's digits is 45
- More coming soon!
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"Number 13142332624118040 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 13142332624118040 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13142332624118040/
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The information we have on file for 13142332624118040 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 13142332624118040, math, Factors of 13142332624118040, curriculum, school, college, exams, university, Prime factorization of 13142332624118040, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred forty-two trillion, three hundred thirty-two billion, six hundred twenty-four million, one hundred eighteen thousand and forty.