13728173042760800
13,728,173,042,760,800 is an even composite number composed of eight prime numbers multiplied together.
13728173042760800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13728173042760800:
25 × 52 × 13 × 19 × 37 × 127 × 757 × 19531
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 19 × 37 × 127 × 757 × 19531)See below for interesting mathematical facts about the number 13728173042760800 from the Numbermatics database.
Names of 13728173042760800
- Cardinal: 13728173042760800 can be written as Thirteen quadrillion, seven hundred twenty-eight trillion, one hundred seventy-three billion, forty-two million, seven hundred sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.37281730427608 × 1016
Factors of 13728173042760800
Divisors of 13728173042760800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 37 38 40 50 52 65 74 76 80 95 100 104 127 130 148 152 160 185 190 200 208 247 254 260 296 304 325 370 380 400 416 475 481 494 508 520 592 608 635 650 703 740 757 760 800 925 950 962 988 1016 1040 1184 1235 1270 1300 1406 1480 1514 1520 1651 1850 1900 1924 1976 2032 2080 2405 2413 2470 2540 2600 2812 2960 3028 3040 3175 3302 3515 3700 3785 3800 3848 3952 4064 4699 4810 4826 4940 5080 5200 5624 5920 6056 6175 6350 6604 7030 7400 7570 7600 7696 7904 8255 9139 9398 9620 9652 9841 9880 10160 10400 11248 12025 12065 12112 12350 12700 13208 14060 14383 14800 15140 15200 15392 16510 17575 18278 18796 18925 19240 19304 19531 19682 19760 20320 22496 23495 24050 24130 24224 24700 25400 26416 28009 28120 28766 29600 30280 31369 33020 35150 36556 37592 37850 38480 38608 39062 39364 39520 41275 45695 46990 48100 48260 49205 49400 50800 52832 56018 56240 57532 60325 60560 61087 62738 66040 70300 71915 73112 75184 75700 76960 77216 78124 78728 82550 89281 91390 93980 96139 96200 96520 97655 98410 98800 101600 112036 112480 115064 117475 120650 121120 122174 125476 132080 140045 140600 143830 146224 150368 151400 156248 156845 157456 165100 178562 182780 186979 187960 192278 192400 193040 195310 196820 197600 224072 228475 230128 234950 241300 244348 246025 250952 253903 264160 280090 281200 287660 292448 302800 305435 312496 313690 314912 330200 357124 359575 364117 365560 371089 373958 375920 384556 384800 386080 390620 393640 446405 448144 456950 460256 469900 480695 482600 488275 488696 492050 501904 507806 532171 560180 562400 575320 605600 610870 624992 627380 660400 700225 714248 719150 722647 728234 731120 742178 747916 751840 769112 781240 784225 787280 892810 896288 913900 934895 939800 961390 965200 976550 977392 984100 1003808 1015612 1064342 1120360 1150640 1160653 1221740 1249807 1254760 1269515 1320800 1400450 1428496 1438300 1445294 1456468 1462240 1484356 1495832 1527175 1538224 1562480 1568450 1574560 1785620 1820585 1826641 1827800 1855445 1869790 1879600 1922780 1930400 1953100 1954784 1968200 2031224 2128684 2232025 2240720 2301280 2321306 2403475 2443480 2480437 2499614 2509520 2539030 2660855 2800900 2856992 2876600 2890588 2912936 2968712 2991664 3054350 3076448 3124960 3136900 3557143 3571240 3613235 3641170 3653282 3655600 3710890 3739580 3759200 3845560 3906200 3936400 4062448 4257368 4464050 4481440 4642612 4674475 4806950 4824157 4886960 4960874 4999228 5019040 5078060 5321710 5601800 5753200 5781176 5803265 5825872 5937424 5983328 6108700 6249035 6273800 6347575 6918223 7114286 7142480 7226470 7282340 7306564 7311200 7421780 7479160 7691120 7812400 7872800 8124896 8514736 8928100 9102925 9133205 9277225 9285224 9348950 9394411 9613900 9648314 9773920 9921748 9998456 10156120 10643420 11203600 11506400 11562352 11606530 11651744 11874848 12217400 12402185 12498070 12547600 12695150 13304275 13730293 13836446 14228572 14284960 14452940 14564680 14613128 14784967 14843560 14958320 15382240 15624800 17029472 17785715 17856200 18066175 18205850 18266410 18554450 18570448 18697900 18788822 19227800 19296628 19843496 19996912 20312240 21286840 22407200 23124704 23213060 23746333 24120785 24434800 24804370 24996140 25095200 25390300 26608550 27460586 27672892 28457144 28905880 29016325 29129360 29226256 29569934 29687120 29916640 31245175 32245681 34591115 35571430 35712400 36132350 36411700 36532820 37108900 37140896 37395800 37577644 38455600 38593256 39686992 39993824 40624480 42573680 45666025 46242859 46426120 46972055 47128303 47492666 48241570 48869600 49608740 49992280 50780600 53217100 54921172 55345784 56914288 57811760 58032650 58258720 58452512 59139868 59374240 62010925 62490350 64491362 67585717 68651465 69182230 71142860 71424800 72264700 72823400 73065640 73924835 74217800 74791600 75155288 76911200 77186512 79373984 85147360 88928575 91332050 91776169 92485718 92852240 93944110 94256606 94985332 96483140 99217480 99984560 101561200 106434200 109842344 110691568 113828576 115623520 116065300 118279736 118731665 120603925 124021850 124980700 128982724 135171434 137302930 138364460 142285720 144529400 145646800 146131280 147849670 148435600 149583200 150310576 154373024 161228405 172955575 177857150 178493809 182664100 183552338 184971436 185704480 187888220 188513212 189970664 192204571 192966280 198434960 199969120 203122400 212868400 219684688 221383136 231214295 232130600 234860275 235641515 236559472 237463330 241207850 248043700 249961400 257965448 270342868 274605860 276728920 280914373 284571440 289058800 291293600 292262560 295699340 296871200 300621152 322456810 337928585 343257325 345911150 355714300 356987618 365328200 367104676 369624175 369942872 375776440 377026424 379941328 384409142 385932560 396869920 425736800 439369376 458880845 462428590 464261200 469720550 471283030 473118944 474926660 482415700 496087400 499922800 515930896 540685736 547043779 549211720 553457840 561828746 569142880 578117600 591398680 593658325 612667939 644913620 675857170 686514650 691822300 711428600 713975236 730656400 734209352 739248350 739885744 751552880 754052848 759882656 768818284 771865120 806142025 878614321 892469045 917761690 924857180 928522400 939441100 942566060 949853320 961022855 964831400 992174800 999845600 1031861792 1081371472 1094087558 1098423440 1106915680 1123657492 1156071475 1178207575 1182797360 1187316650 1193090197 1225335878 1289827240 1351714340 1373029300 1383644600 1404571865 1422857200 1427950472 1461312800 1468418704 1478496700 1479771488 1503105760 1508105696 1537636568 1612284050 1689642925 1743747211 1757228642 1784938090 1835523380 1849714360 1877690809 1878882200 1885132120 1899706640 1922045710 1929662800 1984349600 2162742944 2188175116 2196846880 2247314984 2294404225 2312142950 2356415150 2365594720 2374633300 2386180394 2450671756 2579654480 2703428680 2735218895 2746058600 2767289200 2809143730 2845714400 2855900944 2936837408 2956993400 3063339695 3075273136 3224568100 3379285850 3487494422 3514457284 3569876180 3651886849 3671046760 3699428720 3755381618 3757764400 3770264240 3799413280 3844091420 3859325600 4376350232 4393071605 4462345225 4494629968 4588808450 4624285900 4712830300 4749266600 4772360788 4805114275 4901343512 5159308960 5406857360 5470437790 5492117200 5534578400 5618287460 5711801888 5913986800 5965450985 6126679390 6150546272 6449136200 6758571700 6974988844 7022859325 7028914568 7111569127 7139752360 7303773698 7342093520 7398857440 7510763236 7515528800 7540528480 7688182840 8718736055 8752700464 8786143210 8924690450 8989259936 9177616900 9248571800 9388454045 9425660600 9498533200 9544721576 9610228550 9802687024 10393831801 10813714720 10940875580 10984234400 11236574920 11827973600 11930901970 12253358780 12898272400 13517143400 13676094475 13949977688 14045718650 14057829136 14223138254 14279504720 14607547396 14684187040 15021526472 15316698475 15376365680 17437472110 17505400928 17572286420 17849380900 18259434245 18355233800 18497143600 18776908090 18851321200 18997066400 19089443152 19220457100 19605374048 20787663602 21881751160 21965358025 22473149840 22668713743 23861803940 24409980517 24506717560 25796544800 27034286800 27352188950 27899955376 28091437300 28115658272 28446276508 28559009440 29215094792 29827254925 30043052944 30633396950 30752731360 34874944220 35144572840 35557845635 35676125371 35698761800 36518868490 36710467600 36994287200 37553816180 37702642400 38178886304 38440914200 41575327204 43593680275 43763502320 43930716050 44946299680 45337427486 46942270225 47723607880 48819961034 49013435120 51969159005 54068573600 54704377900 55799910752 56182874600 56892553016 58430189584 59654509850 60086105888 61266793900 69474559933 69749888440 70289145680 71115691270 71352250742 71397523600 73037736980 73420935200 75107632360 76881828400 83150654408 87187360550 87527004640 87861432100 90674854972 91297171225 93884540450 95447215760 97639922068 98026870240 103938318010 109408755800 112365749200 113343568715 113785106032 116860379168 119309019700 122049902585 122533587800 135119813413 138949119866 139499776880 140578291360 142231382540 142704501484 142795047200 146075473960 150215264720 153763656800 166301308816 174374721100 175722864200 177789228175 178380626855 181349709944 182594342450 187769080900 190894431520 195279844136 207876636020 218817511600 224731498400 226687137430 227570212064 238618039400 244099805170 245067175600 259845795025 270239626826 277898239732 278999553760 284462765080 285409002968 292150947920 300430529440 332602617632 347372799665 348749442200 351445728400 355578456350 356761253710 362699419888 365188684900 375538161800 390559688272 415753272040 437635023200 453374274860 463789629823 477236078800 488199610340 490134351200 519691590050 540479253652 555796479464 566717843575 568925530160 570818005936 584301895840 610249512925 675599067065 694745599330 697498884400 702891456800 711156912700 713522507420 725398839776 730377369800 751076323600 781119376544 831506544080 891903134275 903169279129 906748549720 927579259646 954472157600 976399220680 1039383180100 1080958507304 1111592958928 1133435687150 1137851060320 1141636011872 1220499025850 1320016638727 1351198134130 1389491198660 1394997768800 1422313825400 1427045014840 1460754739600 1502152647200 1663013088160 1736863998325 1783806268550 1806338558258 1813497099440 1855158519292 1952798441360 2078766360200 2161917014608 2223185917856 2266871374300 2318948149115 2440998051700 2640033277454 2702396268260 2778982397320 2844627650800 2854090029680 2921509479200 3377995335325 3473727996650 3567612537100 3612677116516 3626994198880 3710317038584 3905596882720 4157532720400 4323834029216 4515846395645 4533742748600 4637896298230 4881996103400 5280066554908 5404792536520 5557964794640 5689255301600 5708180059360 6600083193635 6755990670650 6947455993300 7135225074200 7225354233032 7420634077168 8315065440800 9031692791290 9067485497200 9275792596460 9763992206800 10560133109816 10809585073040 11115929589280 11594740745575 13200166387270 13511981341300 13894911986600 14270450148400 14450708466064 14841268154336 17160216303451 18063385582580 18134970994400 18551585192920 19527984413600 21120266219632 21619170146080 22579231978225 23189481491150 26400332774540 27023962682600 27789823973200 28540900296800 28901416932128 33000415968175 34320432606902 36126771165160 37103170385840 42240532439264 45158463956450 46378962982300 52800665549080 54047925365200 55579647946400 66000831936350 68640865213804 72253542330320 74206340771680 85801081517255 90316927912900 92757925964600 105601331098160 108095850730400 132001663872700 137281730427608 144507084660640 171602163034510 180633855825800 185515851929200 211202662196320 264003327745400 274563460855216 343204326069020 361267711651600 371031703858400 429005407586275 528006655490800 549126921710432 686408652138040 722535423303200 858010815172550 1056013310981600 1372817304276080 1716021630345100 2745634608552160 3432043260690200 6864086521380400 13728173042760800
- Sum of all divisors σ(n): 39379460513218560
- Sum of proper divisors (its aliquot sum) s(n): 25651287470457760
- 13728173042760800 is an abundant number, because the sum of its proper divisors (25651287470457760) is greater than itself. Its abundance is 11923114427696960
Bases of 13728173042760800
- Binary: 1100001100010110110011010111011010000011111100011000002
- Hexadecimal: 0x30C5B35DA0FC60
- Base-36: 3R68BMQQHCW
Squares and roots of 13728173042760800
- 13728173042760800 squared (137281730427608002) is 188462735091984321865286016640000
- 13728173042760800 cubed (137281730427608003) is 2587249039454749006575652321331921020339712000000
-
The
square root of 13728173042760800 is 117167286.5724934333 -
The
cube root of 13728173042760800 is 239444.1595154435
Scales and comparisons
How big is 13728173042760800?- 13,728,173,042,760,800 seconds is equal to 436,513,438 years, 38 weeks, 14 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,728,173,042,760,800 would take you about one billion, three hundred nine million, five hundred forty thousand, three hundred sixteen 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 13728173042760800 cubic inches would be around 19953.7 feet tall.
Recreational maths with 13728173042760800
- 13728173042760800 backwards is 00806724037182731
- The number of decimal digits it has is: 17
- The sum of 13728173042760800's digits is 59
- More coming soon!
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Numbermatics. (2024). Number 13728173042760800 - Facts about the integer. Retrieved 11 June 2024, from https://numbermatics.com/n/13728173042760800/
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The information we have on file for 13728173042760800 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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