13680430848000
13,680,430,848,000 is an even composite number composed of five prime numbers multiplied together.
13680430848000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13680430848000:
211 × 34 × 53 × 7 × 3072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 307 × 307)See below for interesting mathematical facts about the number 13680430848000 from the Numbermatics database.
Names of 13680430848000
- Cardinal: 13680430848000 can be written as Thirteen trillion, six hundred eighty billion, four hundred thirty million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3680430848 × 1013
Factors of 13680430848000
Divisors of 13680430848000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 250 252 256 270 280 288 300 307 315 320 324 336 350 360 375 378 384 400 405 420 432 448 450 480 500 504 512 525 540 560 567 576 600 614 630 640 648 672 675 700 720 750 756 768 800 810 840 864 875 896 900 921 945 960 1000 1008 1024 1050 1080 1120 1125 1134 1152 1200 1228 1260 1280 1296 1344 1350 1400 1440 1500 1512 1535 1536 1575 1600 1620 1680 1728 1750 1792 1800 1842 1890 1920 2000 2016 2025 2048 2100 2149 2160 2240 2250 2268 2304 2400 2456 2520 2560 2592 2625 2688 2700 2763 2800 2835 2880 3000 3024 3070 3072 3150 3200 3240 3360 3375 3456 3500 3584 3600 3684 3780 3840 4000 4032 4050 4200 4298 4320 4480 4500 4536 4605 4608 4725 4800 4912 5040 5120 5184 5250 5376 5400 5526 5600 5670 5760 6000 6048 6140 6144 6300 6400 6447 6480 6720 6750 6912 7000 7168 7200 7368 7560 7675 7680 7875 8000 8064 8100 8289 8400 8596 8640 8960 9000 9072 9210 9216 9450 9600 9824 10080 10125 10240 10368 10500 10745 10752 10800 11052 11200 11340 11520 12000 12096 12280 12600 12800 12894 12960 13440 13500 13815 13824 14000 14175 14336 14400 14736 15120 15350 15360 15750 16000 16128 16200 16578 16800 17192 17280 17920 18000 18144 18420 18432 18900 19200 19341 19648 20160 20250 20736 21000 21490 21504 21600 22104 22400 22680 23025 23040 23625 24000 24192 24560 24867 25200 25600 25788 25920 26880 27000 27630 27648 28000 28350 28800 29472 30240 30700 30720 31500 32000 32235 32256 32400 33156 33600 34384 34560 35840 36000 36288 36840 37800 38375 38400 38682 39296 40320 40500 41445 41472 42000 42980 43008 43200 44208 44800 45360 46050 46080 47250 48000 48384 49120 49734 50400 51200 51576 51840 53725 53760 54000 55260 55296 56000 56700 57600 58023 58944 60480 61400 63000 64000 64470 64512 64800 66312 67200 68768 69075 69120 70875 71680 72000 72576 73680 75600 76750 76800 77364 78592 80640 81000 82890 82944 84000 85960 86400 88416 89600 90720 92100 92160 94249 94500 96000 96705 96768 98240 99468 100800 103152 103680 107450 107520 108000 110520 112000 113400 115125 115200 116046 117888 120960 122800 124335 126000 128000 128940 129024 129600 132624 134400 137536 138150 138240 141750 144000 145152 147360 151200 153500 153600 154728 157184 161175 161280 162000 165780 165888 168000 171920 172800 174069 176832 179200 181440 184200 188498 189000 192000 193410 193536 196480 198936 201600 206304 207225 207360 214900 215040 216000 221040 224000 226800 230250 230400 232092 235776 241920 245600 248670 252000 256000 257880 259200 265248 268625 268800 275072 276300 276480 282747 283500 288000 290115 290304 294720 302400 307000 309456 314368 322350 322560 324000 331560 336000 343840 345375 345600 348138 353664 358400 362880 368400 376996 378000 384000 386820 387072 392960 397872 403200 412608 414450 414720 429800 432000 442080 448000 453600 460500 460800 464184 471245 471552 483525 483840 491200 497340 504000 515760 518400 530496 537250 537600 550144 552600 565494 567000 576000 580230 580608 589440 604800 614000 618912 621675 628736 644700 645120 648000 659743 663120 672000 687680 690750 691200 696276 707328 725760 736800 753992 756000 768000 773640 785920 795744 805875 806400 825216 828900 829440 848241 859600 864000 870345 884160 896000 907200 921000 928368 942490 943104 967050 967680 982400 994680 1008000 1031520 1036125 1036800 1060992 1074500 1075200 1100288 1105200 1130988 1134000 1152000 1160460 1161216 1178880 1209600 1228000 1237824 1243350 1289400 1296000 1319486 1326240 1344000 1375360 1381500 1382400 1392552 1413735 1414656 1450575 1451520 1473600 1507984 1512000 1547280 1571840 1591488 1611750 1612800 1650432 1657800 1696482 1719200 1728000 1740690 1768320 1792000 1814400 1842000 1856736 1884980 1886208 1934100 1935360 1964800 1979229 1989360 2016000 2063040 2072250 2073600 2121984 2149000 2200576 2210400 2261976 2268000 2304000 2320920 2356225 2357760 2417625 2419200 2456000 2475648 2486700 2544723 2578800 2592000 2638972 2652480 2688000 2750720 2763000 2785104 2827470 2829312 2901150 2903040 2947200 3015968 3024000 3094560 3108375 3143680 3182976 3223500 3225600 3298715 3300864 3315600 3392964 3438400 3456000 3481380 3536640 3628800 3684000 3713472 3769960 3868200 3929600 3958458 3978720 4032000 4126080 4144500 4147200 4241205 4243968 4298000 4351725 4401152 4420800 4523952 4536000 4641840 4712450 4715520 4835250 4838400 4912000 4951296 4973400 5089446 5157600 5184000 5277944 5304960 5376000 5501440 5526000 5570208 5654940 5658624 5802300 5806080 5894400 5937687 6031936 6048000 6189120 6216750 6365952 6447000 6597430 6601728 6631200 6785928 6876800 6912000 6962760 7068675 7073280 7252875 7257600 7368000 7426944 7539920 7634169 7736400 7859200 7916916 7957440 8064000 8252160 8289000 8482410 8487936 8596000 8703450 8841600 9047904 9072000 9283680 9424900 9431040 9670500 9676800 9824000 9896145 9902592 9946800 10178892 10315200 10368000 10555888 10609920 11002880 11052000 11140416 11309880 11604600 11781125 11788800 11875374 12063872 12096000 12378240 12433500 12723615 12731904 12894000 13194860 13203456 13262400 13571856 13753600 13925520 14137350 14146560 14505750 14515200 14736000 14853888 15079840 15268338 15472800 15718400 15833832 15914880 16128000 16493575 16504320 16578000 16964820 16975872 17192000 17406900 17683200 17813061 18095808 18144000 18567360 18849800 19341000 19648000 19792290 19805184 19893600 20357784 20630400 20736000 21111776 21206025 21219840 21758625 22005760 22104000 22280832 22619760 23209200 23562250 23577600 23750748 24127744 24192000 24756480 24867000 25447230 25463808 25788000 26389720 26524800 27143712 27507200 27851040 28274700 28293120 29011500 29030400 29472000 29688435 29707776 30159680 30536676 30945600 31667664 31829760 32987150 33008640 33156000 33929640 34384000 34813800 35343375 35366400 35626122 36191616 36288000 37134720 37699600 38170845 38682000 39296000 39584580 39610368 39787200 40715568 41260800 42223552 42412050 42439680 43517250 44208000 44561664 45239520 46418400 47124500 47155200 47501496 48255488 48384000 49480725 49512960 49734000 50894460 50927616 51576000 52779440 53049600 53439183 54287424 55014400 55702080 56549400 58023000 58944000 59376870 59415552 60319360 61073352 61891200 63335328 63618075 63659520 65974300 66017280 66312000 67859280 68768000 69627600 70686750 70732800 71252244 72383232 72576000 74269440 75399200 76341690 77364000 78592000 79169160 79574400 81431136 82467875 82521600 84447104 84824100 84879360 87034500 88416000 89065305 89123328 90479040 92836800 94249000 95002992 96510976 98961450 99025920 99468000 101788920 103152000 105558880 106030125 106099200 106878366 108574848 110028800 111404160 113098800 116046000 117888000 118753740 118831104 120638720 122146704 123782400 126670656 127236150 127319040 131948600 132624000 135718560 137536000 139255200 141373500 141465600 142504488 144766464 145152000 148442175 148538880 150798400 152683380 154728000 158338320 159148800 162862272 164935750 165043200 168894208 169648200 174069000 176832000 178130610 178246656 180958080 185673600 188498000 190005984 190854225 193021952 197922900 198051840 198936000 203577840 206304000 211117760 212060250 212198400 213756732 217149696 222808320 226197600 232092000 235776000 237507480 241277440 244293408 247403625 247564800 253341312 254472300 254638080 263897200 265248000 267195915 271437120 275072000 278510400 282747000 285008976 289532928 296884350 297077760 301596800 305366760 309456000 316676640 318090375 318297600 325724544 329871500 330086400 337788416 339296400 348138000 353664000 356261220 356493312 361916160 371347200 376996000 380011968 381708450 395845800 397872000 407155680 412608000 422235520 424120500 424396800 427513464 434299392 445326525 445616640 452395200 464184000 475014960 482554880 488586816 494807250 495129600 506682624 508944600 527794400 530496000 534391830 542874240 550144000 557020800 565494000 570017952 579065856 593768700 594155520 603193600 610733520 618912000 633353280 636180750 636595200 651449088 659743000 675576832 678592800 696276000 707328000 712522440 723832320 742210875 742694400 753992000 760023936 763416900 791691600 795744000 814311360 825216000 844471040 848241000 855026928 868598784 890653050 891233280 904790400 928368000 950029920 954271125 965109760 977173632 989614500 990259200 1013365248 1017889200 1055588800 1060992000 1068783660 1085748480 1114041600 1130988000 1140035904 1187537400 1206387200 1221467040 1237824000 1266706560 1272361500 1273190400 1302898176 1319486000 1335979575 1351153664 1357185600 1392552000 1425044880 1447664640 1484421750 1485388800 1507984000 1520047872 1526833800 1583383200 1591488000 1628622720 1650432000 1688942080 1696482000 1710053856 1737197568 1781306100 1782466560 1809580800 1856736000 1900059840 1908542250 1954347264 1979229000 2026730496 2035778400 2111177600 2121984000 2137567320 2171496960 2226632625 2228083200 2261976000 2280071808 2375074800 2412774400 2442934080 2475648000 2533413120 2544723000 2605796352 2638972000 2671959150 2714371200 2785104000 2850089760 2895329280 2968843500 2970777600 3015968000 3040095744 3053667600 3166766400 3182976000 3257245440 3377884160 3392964000 3420107712 3562612200 3619161600 3713472000 3800119680 3817084500 3908694528 3958458000 4053460992 4071556800 4222355200 4275134640 4342993920 4453265250 4456166400 4523952000 4560143616 4750149600 4825548800 4885868160 4951296000 5066826240 5089446000 5211592704 5277944000 5343918300 5428742400 5570208000 5700179520 5937687000 6031936000 6080191488 6107335200 6333532800 6365952000 6514490880 6679897875 6755768320 6785928000 6840215424 7125224400 7238323200 7426944000 7600239360 7634169000 7817389056 7916916000 8143113600 8444710400 8550269280 8685987840 8906530500 8912332800 9047904000 9120287232 9500299200 9771736320 10133652480 10178892000 10555888000 10687836600 10857484800 11140416000 11400359040 11875374000 12063872000 12160382976 12214670400 12667065600 13028981760 13359795750 13571856000 13680430848 14250448800 14476646400 14853888000 15200478720 15268338000 15634778112 15833832000 16286227200 16889420800 17100538560 17813061000 18095808000 18240574464 19000598400 19543472640 20267304960 20357784000 21111776000 21375673200 21714969600 22280832000 22800718080 23750748000 24127744000 24429340800 25334131200 26057963520 26719591500 27143712000 27360861696 28500897600 30400957440 30536676000 31667664000 32572454400 33778841600 34201077120 35626122000 36191616000 36481148928 38001196800 39086945280 40715568000 42223552000 42751346400 43429939200 44561664000 45601436160 47501496000 48858681600 50668262400 53439183000 54287424000 54721723392 57001795200 60801914880 61073352000 63335328000 65144908800 68402154240 71252244000 72383232000 76002393600 78173890560 81431136000 84447104000 85502692800 91202872320 95002992000 97717363200 101336524800 106878366000 108574848000 109443446784 114003590400 122146704000 126670656000 130289817600 136804308480 142504488000 152004787200 162862272000 168894208000 171005385600 182405744640 190005984000 195434726400 213756732000 217149696000 228007180800 244293408000 253341312000 273608616960 285008976000 304009574400 325724544000 342010771200 380011968000 390869452800 427513464000 456014361600 488586816000 506682624000 547217233920 570017952000 651449088000 684021542400 760023936000 855026928000 912028723200 977173632000 1140035904000 1368043084800 1520047872000 1710053856000 1954347264000 2280071808000 2736086169600 3420107712000 4560143616000 6840215424000 13680430848000
- Sum of all divisors σ(n): 58471945852320
- Sum of proper divisors (its aliquot sum) s(n): 44791515004320
- 13680430848000 is an abundant number, because the sum of its proper divisors (44791515004320) is greater than itself. Its abundance is 31111084156320
Bases of 13680430848000
- Binary: 110001110001001110010011100010011000000000002
- Hexadecimal: 0xC7139389800
- Base-36: 4UKPBB400
Squares and roots of 13680430848000
- 13680430848000 squared (136804308480002) is 187154188186909999104000000
- 13680430848000 cubed (136804308480003) is 2560349929404600741542013960192000000000
-
The
square root of 13680430848000 is 3698706.6453018411 -
The
cube root of 13680430848000 is 23916.6267059567
Scales and comparisons
How big is 13680430848000?- 13,680,430,848,000 seconds is equal to 434,995 years, 20 weeks.
-
To count from 1 to 13,680,430,848,000 would take you about one million, eighty-seven thousand, four hundred eighty-eight 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 13680430848000 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13680430848000
- 13680430848000 backwards is 00084803408631
- 13680430848000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13680430848000's digits is 45
- More coming soon!
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 13680430848000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 13680430848000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/13680430848000/
Chicago style:
Numbermatics. 2024. "Number 13680430848000 - Facts about the integer". https://numbermatics.com/n/13680430848000/
The information we have on file for 13680430848000 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 13680430848000, math, Factors of 13680430848000, curriculum, school, college, exams, university, Prime factorization of 13680430848000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, six hundred eighty billion, four hundred thirty million, eight hundred forty-eight thousand.