13938002976000
13,938,002,976,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13938002976000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
13938002976000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13938002976000:
28 × 3 × 53 × 172 × 19 × 137 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 17 × 19 × 137 × 193)See below for interesting mathematical facts about the number 13938002976000 from the Numbermatics database.
Names of 13938002976000
- Cardinal: 13938002976000 can be written as Thirteen trillion, nine hundred thirty-eight billion, two million, nine hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.3938002976 × 1013
Factors of 13938002976000
Divisors of 13938002976000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 25 30 32 34 38 40 48 50 51 57 60 64 68 75 76 80 85 95 96 100 102 114 120 125 128 136 137 150 152 160 170 190 192 193 200 204 228 240 250 255 256 272 274 285 289 300 304 320 323 340 375 380 384 386 400 408 411 425 456 475 480 500 510 544 548 570 578 579 600 608 640 646 680 685 750 760 768 772 800 816 822 850 867 912 950 960 965 969 1000 1020 1088 1096 1140 1156 1158 1200 1216 1275 1280 1292 1360 1370 1425 1445 1500 1520 1544 1600 1615 1632 1644 1700 1734 1824 1900 1920 1930 1938 2000 2040 2055 2125 2176 2192 2280 2312 2316 2329 2375 2400 2432 2550 2584 2603 2720 2740 2850 2890 2895 3000 3040 3088 3200 3230 3264 3281 3288 3400 3425 3468 3648 3667 3800 3840 3860 3876 4000 4080 4110 4250 4335 4352 4384 4560 4624 4632 4658 4750 4800 4825 4845 4864 5100 5168 5206 5440 5480 5491 5700 5780 5790 6000 6080 6176 6375 6400 6460 6528 6562 6576 6800 6850 6936 6987 7125 7225 7296 7334 7600 7720 7752 7809 8000 8075 8160 8220 8500 8670 8768 9120 9248 9264 9316 9500 9600 9650 9690 9843 10200 10275 10336 10412 10880 10960 10982 11001 11400 11560 11580 11645 12000 12160 12352 12750 12920 13015 13056 13124 13152 13600 13700 13872 13974 14250 14450 14475 14592 14668 15200 15440 15504 15618 16000 16150 16320 16405 16440 16473 17000 17125 17340 17536 18240 18335 18496 18528 18632 19000 19200 19300 19380 19686 20400 20550 20672 20824 21675 21760 21920 21964 22002 22800 23120 23160 23290 24000 24125 24225 24320 24704 25500 25840 26030 26248 26304 26441 27200 27400 27455 27744 27948 28500 28900 28950 29336 30400 30880 31008 31236 32000 32300 32640 32810 32880 32946 34000 34250 34680 34935 35072 36125 36480 36670 36992 37056 37264 38000 38600 38760 39045 39372 39593 40375 40800 41100 41344 41648 43350 43840 43928 44004 44251 45600 46240 46320 46580 48000 48250 48450 49215 49408 51000 51375 51680 52060 52496 52608 52882 54400 54800 54910 55005 55488 55777 55896 57000 57800 57900 58225 58672 60800 61760 62016 62339 62472 64600 65075 65280 65620 65760 65892 68000 68500 69360 69870 72250 72375 72960 73340 73984 74112 74528 76000 77200 77520 78090 78744 79186 79323 80750 81600 82025 82200 82365 82688 83296 86700 87680 87856 88008 88502 91200 91675 92480 92640 93160 96000 96500 96900 98430 102000 102750 103360 104120 104992 105216 105764 108375 108800 109600 109820 110010 110976 111554 111792 114000 115600 115800 116450 117344 118779 121125 121600 123520 124032 124678 124944 129200 130150 131240 131520 131784 132205 132753 136000 137000 137275 138720 139740 144500 144750 146680 148224 149056 152000 154400 155040 156180 157488 158372 158646 161500 163200 164050 164400 164730 166592 167331 173400 174675 175360 175712 176016 177004 182400 183350 184960 185280 186320 187017 193000 193800 195225 196860 197965 204000 205500 206720 208240 209984 211528 216750 219200 219640 220020 221255 221952 223108 223584 228000 231200 231600 232900 234688 237558 242250 246075 247040 248064 249356 249888 258400 260300 262480 263040 263568 264410 265506 272000 274000 274550 275025 277440 278885 279480 289000 289500 291125 293360 298112 304000 308800 310080 311695 312360 314976 316744 317292 323000 325375 326400 328100 328800 329460 333184 334662 346800 349350 351424 352032 354008 364800 366700 369920 370560 372640 374034 386000 387600 390450 393720 395930 396615 408000 410125 411000 411825 413440 416480 419968 423056 433500 438400 439280 440040 442510 446216 447168 449497 456000 458375 462400 463200 465800 469376 475116 484500 492150 498712 499776 502379 516800 520600 524960 526080 527136 528820 531012 544000 548000 549100 550050 554880 557770 558960 578000 579000 582250 586720 593895 596224 608000 617600 620160 623390 624720 629952 633488 634584 646000 650750 656200 657600 658920 661025 663765 666368 669324 686375 693600 698700 702848 704064 708016 733400 741120 745280 748068 752267 772000 775200 780900 787440 791860 793230 816000 820250 822000 823650 832960 836655 839936 846112 867000 873375 876800 878560 880080 885020 892432 894336 898994 912000 916750 924800 926400 931600 935085 938752 950232 969000 976125 984300 989825 997424 999552 1004758 1033600 1041200 1049920 1054272 1057640 1059763 1062024 1096000 1098200 1100100 1106275 1109760 1115540 1117920 1156000 1158000 1164500 1173440 1187790 1230375 1235200 1240320 1246780 1249440 1259904 1266976 1269168 1292000 1301500 1312400 1315200 1317840 1322050 1327530 1338648 1348491 1372750 1375125 1387200 1394425 1397400 1405696 1408128 1416032 1466800 1490560 1496136 1504534 1507137 1544000 1550400 1558475 1561800 1574880 1583720 1586460 1632000 1640500 1644000 1647300 1665920 1673310 1692224 1734000 1746750 1757120 1760160 1770040 1784864 1788672 1797988 1824000 1833500 1849600 1852800 1863200 1870170 1900464 1938000 1952250 1968600 1979650 1983075 1994848 1999104 2009516 2059125 2067200 2082400 2099840 2108544 2115280 2119526 2124048 2192000 2196400 2200200 2212550 2231080 2235840 2247485 2256801 2312000 2316000 2329000 2346880 2375580 2460750 2493560 2498880 2511895 2519808 2533952 2538336 2584000 2603000 2624800 2630400 2635680 2644100 2655060 2677296 2696982 2745500 2750250 2774400 2788850 2794800 2816256 2832064 2933600 2969475 2981120 2992272 3009068 3014274 3088000 3100800 3116950 3123600 3149760 3167440 3172920 3179289 3281000 3288000 3294600 3305125 3318825 3331840 3346620 3384448 3468000 3493500 3514240 3520320 3540080 3569728 3595976 3667000 3705600 3726400 3740340 3761335 3800928 3876000 3904500 3937200 3959300 3966150 3989696 4019032 4118250 4164800 4183275 4199680 4217088 4230560 4239052 4248096 4384000 4392800 4400400 4425100 4462160 4471680 4494970 4513602 4624000 4632000 4658000 4675425 4693760 4751160 4921500 4949125 4987120 4997760 5023790 5067904 5076672 5168000 5206000 5249600 5271360 5288200 5298815 5310120 5354592 5393964 5491000 5500500 5531375 5548800 5577700 5589600 5664128 5867200 5938950 5984544 6018136 6028548 6176000 6201600 6233900 6247200 6299520 6334880 6345840 6358578 6562000 6576000 6589200 6610250 6637650 6693240 6742455 6768896 6936000 6972125 6987000 7028480 7040640 7080160 7139456 7191952 7334000 7452800 7480680 7522670 7535685 7601856 7641449 7752000 7792375 7809000 7874400 7918600 7932300 7979392 8038064 8236500 8329600 8366550 8461120 8478104 8496192 8540443 8785600 8800800 8850200 8924320 8943360 8989940 9027204 9248000 9264000 9316000 9350850 9502320 9843000 9898250 9915375 9974240 9995520 10047580 10135808 10153344 10336000 10412000 10499200 10542720 10576400 10597630 10620240 10709184 10787928 10982000 11001000 11062750 11155400 11179200 11237425 11284005 11328256 11734400 11877900 11969088 12036272 12057096 12467800 12494400 12559475 12599040 12669760 12691680 12717156 13124000 13152000 13178400 13220500 13275300 13386480 13484910 13872000 13944250 13974000 14081280 14160320 14278912 14383904 14668000 14847375 14905600 14961360 15045340 15071370 15203712 15282898 15504000 15584750 15618000 15748800 15837200 15864600 15896445 15958784 16076128 16473000 16594125 16659200 16733100 16922240 16956208 16992384 17080886 17571200 17601600 17700400 17848640 17979880 18054408 18528000 18632000 18701700 18806675 19004640 19686000 19796500 19830750 19948480 20095160 20306688 20824000 20916375 20998400 21085440 21152800 21195260 21240480 21418368 21575856 21964000 22002000 22125500 22310800 22358400 22474850 22568010 22924347 23377125 23468800 23755800 23938176 24072544 24114192 24935600 24988800 25118950 25339520 25383360 25434312 25621329 26248000 26356800 26441000 26494075 26550600 26772960 26969820 27744000 27888500 27948000 28320640 28767808 29336000 29694750 29922720 30090680 30142740 30407424 30565796 31008000 31169500 31236000 31497600 31674400 31729200 31792890 32152256 32946000 33188250 33466200 33712275 33844480 33912416 33984768 34161772 35142400 35203200 35400800 35697280 35959760 36108816 37264000 37403400 37613350 37678425 38009280 38207245 39372000 39593000 39661500 39896960 40190320 41648000 41832750 42305600 42390520 42480960 42702215 42836736 43151712 43928000 44004000 44251000 44621600 44716800 44949700 45136020 45848694 46754250 47511600 47876352 48145088 48228384 49871200 49977600 50237900 50679040 50766720 50868624 51242658 52496000 52713600 52882000 52988150 53101200 53545920 53939640 55777000 55896000 56187125 56420025 56641280 57535616 58672000 59389500 59845440 60181360 60285480 61131592 62339000 62472000 62797375 62995200 63348800 63458400 63585780 64304512 65892000 66376500 66932400 67424550 67824832 68323544 70406400 70801600 71394560 71919520 72217632 74528000 74806800 75226700 75356850 76018560 76414490 78744000 79186000 79323000 79482225 79793920 80380640 83296000 83665500 84611200 84781040 84961920 85404430 86303424 87856000 88008000 88502000 89243200 89899400 90272040 91697388 93508500 94033375 95023200 96290176 96456768 99742400 100475800 101533440 101737248 102485316 104992000 105427200 105764000 105976300 106202400 107091840 107879280 111554000 111792000 112374250 112840050 114621735 115071232 117344000 118779000 119690880 120362720 120570960 122263184 124678000 124944000 125594750 126697600 126916800 127171560 128106645 128609024 131784000 132470375 132753000 133864800 134849100 135649664 136647088 141603200 143839040 144435264 145187531 149613600 150453400 150713700 152037120 152828980 157488000 158372000 158646000 158964450 160761280 167331000 168561375 169222400 169562080 169923840 170808860 172606848 175712000 176016000 177004000 178486400 179798800 180544080 183394776 187017000 188066750 188392125 190046400 191036225 192580352 192913536 199484800 200951600 203474496 204970632 211528000 211952600 212404800 213511075 214183680 215758560 223108000 223584000 224748500 225680100 229243470 237558000 239381760 240725440 241141920 244526368 249356000 249888000 251189500 253395200 253833600 254343120 256213290 263568000 264940750 265506000 267729600 269698200 271299328 273294176 282100125 283206400 287678080 288870528 290375062 299227200 300906800 301427400 305657960 314976000 316744000 317292000 317928900 321522560 334662000 337122750 339124160 341617720 345213696 352032000 354008000 356972800 359597600 361088160 366789552 374034000 376133500 376784250 380092800 382072450 385827072 397411125 398969600 401903200 406948992 409941264 423056000 423905200 424809600 427022150 431517120 435562593 446216000 449497000 451360200 458486940 475116000 481450880 482283840 489052736 498712000 502379000 507667200 508686240 512426580 527136000 529881500 531012000 535459200 539396400 546588352 564200250 573108675 575356160 577741056 580750124 598454400 601813600 602854800 611315920 633488000 634584000 635857800 640533225 643045120 669324000 674245500 678248320 683235440 708016000 719195200 722176320 725937655 733579104 748068000 752267000 753568500 760185600 764144900 794822250 803806400 813897984 819882528 846112000 847810400 849619200 854044300 863034240 871125186 892432000 898994000 902720400 916973880 950232000 955181125 962901760 964567680 978105472 997424000 1004758000 1017372480 1024853160 1059763000 1062024000 1067555375 1070918400 1078792800 1093176704 1128400500 1146217350 1161500248 1196908800 1203627200 1205709600 1222631840 1266976000 1269168000 1271715600 1281066450 1338648000 1348491000 1356496640 1366470880 1416032000 1438390400 1444352640 1451875310 1467158208 1496136000 1504534000 1507137000 1528289800 1589644500 1607612800 1639765056 1695620800 1708088600 1726068480 1742250372 1784864000 1797988000 1805440800 1833947760 1900464000 1910362250 1929135360 1956210944 1994848000 2009516000 2034744960 2049706320 2119526000 2124048000 2135110750 2157585600 2177812965 2186353408 2256801000 2292434700 2323000496 2407254400 2411419200 2445263680 2538336000 2543431200 2562132900 2677296000 2696982000 2732941760 2865543375 2876780800 2888705280 2903750620 2934316416 2992272000 3009068000 3014274000 3056579600 3179289000 3202666125 3215225600 3279530112 3391241600 3416177200 3484500744 3595976000 3610881600 3629688275 3667895520 3800928000 3820724500 4019032000 4069489920 4099412640 4239052000 4248096000 4270221500 4315171200 4355625930 4513602000 4584869400 4646000992 4814508800 4822838400 4890527360 5086862400 5124265800 5354592000 5393964000 5465883520 5731086750 5807501240 5868632832 5984544000 6018136000 6028548000 6113159200 6358578000 6405332250 6559060224 6782483200 6832354400 6969001488 7191952000 7221763200 7259376550 7335791040 7641449000 8038064000 8198825280 8478104000 8540443000 8630342400 8711251860 9027204000 9169738800 9292001984 9645676800 9781054720 10173724800 10248531600 10787928000 10889064825 10931767040 11462173500 11615002480 12036272000 12057096000 12226318400 12717156000 12810664500 13664708800 13938002976 14383904000 14443526400 14518753100 14671582080 15282898000 16076128000 16397650560 16956208000 17080886000 17422503720 18054408000 18148441375 18339477600 18584003968 20347449600 20497063200 21575856000 21778129650 22924347000 23230004960 24072544000 24114192000 24452636800 25434312000 25621329000 27329417600 27876005952 29037506200 29343164160 30565796000 32795301120 33912416000 34161772000 34845007440 36108816000 36296882750 36678955200 37168007936 40994126400 43151712000 43556259300 45848694000 46460009920 48228384000 48905273600 50868624000 51242658000 54445324125 54658835200 55752011904 58075012400 61131592000 68323544000 69690014880 72217632000 72593765500 73357910400 81988252800 87112518600 91697388000 92920019840 101737248000 102485316000 108890648250 111504023808 116150024800 122263184000 136647088000 139380029760 145187531000 146715820800 163976505600 174225037200 183394776000 185840039680 204970632000 217781296500 232300049600 244526368000 273294176000 278760059520 290375062000 348450074400 366789552000 409941264000 435562593000 464600099200 557520119040 580750124000 696900148800 733579104000 819882528000 871125186000 929200198400 1161500248000 1393800297600 1742250372000 2323000496000 2787600595200 3484500744000 4646000992000 6969001488000 13938002976000
- Sum of all divisors σ(n): 52414889829120
- Sum of proper divisors (its aliquot sum) s(n): 38476886853120
- 13938002976000 is an abundant number, because the sum of its proper divisors (38476886853120) is greater than itself. Its abundance is 24538883877120
Bases of 13938002976000
- Binary: 110010101101001100011011011101011101000000002
- Hexadecimal: 0xCAD31B75D00
- Base-36: 4XV133PXC
Squares and roots of 13938002976000
- 13938002976000 squared (139380029760002) is 194267926958984856576000000
- 13938002976000 cubed (139380029760003) is 2707706944095681560895221170176000000000
-
The
square root of 13938002976000 is 3733363.4936876961 -
The
cube root of 13938002976000 is 24065.7934140715
Scales and comparisons
How big is 13938002976000?- 13,938,002,976,000 seconds is equal to 443,185 years, 19 weeks, 5 days, 21 hours, 20 minutes.
-
To count from 1 to 13,938,002,976,000 would take you about one million, one hundred seven thousand, nine hundred sixty-three 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 13938002976000 cubic inches would be around 2005.5 feet tall.
Recreational maths with 13938002976000
- 13938002976000 backwards is 00067920083931
- 13938002976000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13938002976000's digits is 48
- More coming soon!
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MLA style:
"Number 13938002976000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 13938002976000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13938002976000/
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The information we have on file for 13938002976000 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!
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