13680541513766400
13,680,541,513,766,400 is an even composite number composed of seven prime numbers multiplied together.
13680541513766400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13680541513766400:
29 × 3 × 52 × 7 × 132 × 97 × 3104671
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 13 × 97 × 3104671)See below for interesting mathematical facts about the number 13680541513766400 from the Numbermatics database.
Names of 13680541513766400
- Cardinal: 13680541513766400 can be written as Thirteen quadrillion, six hundred eighty trillion, five hundred forty-one billion, five hundred thirteen million, seven hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.36805415137664 × 1016
Factors of 13680541513766400
Divisors of 13680541513766400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 97 100 104 105 112 120 128 130 140 150 156 160 168 169 175 182 192 194 195 200 208 210 224 240 256 260 273 280 291 300 312 320 325 336 338 350 364 384 388 390 400 416 420 448 455 480 485 507 512 520 525 546 560 582 600 624 640 650 672 676 679 700 728 768 776 780 800 832 840 845 896 910 960 970 975 1014 1040 1050 1092 1120 1164 1183 1200 1248 1261 1280 1300 1344 1352 1358 1365 1400 1455 1456 1536 1552 1560 1600 1664 1680 1690 1792 1820 1920 1940 1950 2028 2037 2080 2100 2184 2240 2275 2328 2366 2400 2425 2496 2522 2535 2560 2600 2688 2704 2716 2730 2800 2910 2912 3104 3120 3200 3328 3360 3380 3395 3549 3584 3640 3783 3840 3880 3900 4056 4074 4160 4200 4225 4368 4480 4550 4656 4732 4800 4850 4992 5044 5070 5200 5376 5408 5432 5460 5600 5820 5824 5915 6208 6240 6305 6400 6656 6720 6760 6790 6825 7098 7275 7280 7566 7680 7760 7800 8112 8148 8320 8400 8450 8736 8827 8960 9100 9312 9464 9600 9700 9984 10088 10140 10185 10400 10752 10816 10864 10920 11200 11640 11648 11830 12416 12480 12610 12675 12800 13440 13520 13580 13650 14196 14550 14560 15132 15520 15600 16224 16296 16393 16640 16800 16900 16975 17472 17654 17745 17920 18200 18624 18915 18928 19200 19400 19968 20176 20280 20370 20800 21632 21728 21840 22400 23280 23296 23660 24832 24960 25220 25350 26481 26880 27040 27160 27300 28392 29100 29120 29575 30264 31040 31200 31525 32448 32592 32786 33280 33600 33800 33950 34944 35308 35490 36400 37248 37830 37856 38400 38800 40352 40560 40740 41600 43264 43456 43680 44135 44800 46560 46592 47320 49179 49664 49920 50440 50700 50925 52962 53760 54080 54320 54600 56784 58200 58240 59150 60528 62080 62400 63050 64896 65184 65572 67200 67600 67900 69888 70616 70980 72800 74496 75660 75712 77600 80704 81120 81480 81965 83200 86528 86912 87360 88270 88725 89600 93120 94575 94640 98358 99840 100880 101400 101850 105924 108160 108640 109200 113568 114751 116400 116480 118300 121056 124160 124800 126100 129792 130368 131144 132405 134400 135200 135800 139776 141232 141960 145600 148992 151320 151424 155200 161408 162240 162960 163930 166400 173824 174720 176540 177450 186240 189150 189280 196716 201760 202800 203700 211848 216320 217280 218400 220675 227136 229502 232800 232960 236600 242112 245895 248320 249600 252200 259584 260736 262288 264810 268800 270400 271600 282464 283920 291200 302640 302848 310400 322816 324480 325920 327860 344253 347648 349440 353080 354900 372480 378300 378560 393432 403520 405600 407400 409825 423696 432640 434560 436800 441350 454272 459004 465600 473200 484224 491790 499200 504400 521472 524576 529620 540800 543200 564928 567840 573755 582400 605280 605696 620800 645632 648960 651840 655720 662025 688506 698880 706160 709800 744960 756600 757120 786864 807040 811200 814800 819650 847392 869120 873600 882700 908544 918008 931200 946400 968448 983580 1008800 1042944 1049152 1059240 1081600 1086400 1129856 1135680 1147510 1164800 1210560 1229475 1241600 1297920 1303680 1311440 1324050 1377012 1412320 1419600 1513200 1514240 1573728 1614080 1622400 1629600 1639300 1694784 1721265 1738240 1747200 1765400 1817088 1836016 1862400 1892800 1936896 1967160 2017600 2098304 2118480 2163200 2172800 2259712 2271360 2295020 2421120 2458950 2607360 2622880 2648100 2754024 2824640 2839200 2868775 3026400 3028480 3104671 3147456 3228160 3244800 3259200 3278600 3389568 3442530 3494400 3530800 3672032 3724800 3785600 3934320 4035200 4196608 4236960 4345600 4519424 4542720 4590040 4842240 4917900 5214720 5245760 5296200 5508048 5649280 5678400 5737550 6052800 6209342 6294912 6489600 6518400 6557200 6779136 6885060 7061600 7344064 7571200 7868640 8070400 8393216 8473920 8606325 8691200 9085440 9180080 9314013 9684480 9835800 10491520 10592400 11016096 11298560 11356800 11475100 12105600 12418684 12589824 13036800 13114400 13558272 13770120 14123200 14688128 15142400 15523355 15737280 16140800 16947840 17212650 18360160 18628026 19671600 20983040 21184800 21732697 22032192 22597120 22713600 22950200 24211200 24837368 25179648 26073600 26228800 27540240 28246400 29376256 31046710 31474560 33895680 34425300 36720320 37256052 39343200 40360723 41966080 42369600 43465394 44064384 45427200 45900400 46570065 48422400 49674736 52457600 55080480 56492800 58752512 62093420 62949120 65198091 67791360 68850600 73440640 74512104 77616775 78686400 80721446 84739200 86930788 88128768 91800800 93140130 99349472 104915200 108663485 110160960 112985600 121082169 124186840 125898240 130396182 137701200 146881280 149024208 155233550 157372800 161442892 169478400 173861576 176257536 183601600 186280260 198698944 201803615 209830400 217326970 220321920 232850325 242164338 248373680 260792364 275402400 282525061 293762560 298048416 301153087 310467100 314745600 322885784 325990455 338956800 347723152 367203200 372560520 397397888 403607230 434653940 440643840 465700650 484328676 496747360 521584728 524689399 543317425 550804800 565050122 596096832 602306174 605410845 620934200 629491200 645771568 651980910 695446304 734406400 745121040 794795776 807214460 847575183 869307880 881287680 903459261 931401300 968657352 993494720 1009018075 1043169456 1049378798 1086634850 1101609600 1130100244 1192193664 1204612348 1210821690 1241868400 1291543136 1303961820 1390892608 1412625305 1468812800 1490242080 1505765435 1574068197 1589591552 1614428920 1629952275 1695150366 1738615760 1806918522 1862802600 1937314704 1986989440 2018036150 2086338912 2098757596 2108071609 2173269700 2203219200 2260200488 2384387328 2409224696 2421643380 2483736800 2583086272 2607923640 2623446995 2781785216 2825250610 2980484160 3011530870 3027054225 3148136394 3228857840 3259904550 3390300732 3477231520 3613837044 3672825793 3725605200 3874629408 3914990131 3973978880 4036072300 4172677824 4197515192 4216143218 4237875915 4346539400 4406438400 4517296305 4520400976 4768774656 4818449392 4843286760 4967473600 5166172544 5215847280 5246893990 5563570432 5650501220 5960968320 6023061740 6054108450 6296272788 6324214827 6457715680 6519809100 6780601464 6954463040 7063126525 7227674088 7345651586 7451210400 7528827175 7749258816 7829980262 7870340985 7947957760 8072144600 8345355648 8395030384 8432286436 8475751830 8693078800 9034592610 9040801952 9636898784 9686573520 9934947200 10332345088 10431694560 10493787980 10540358045 11018477379 11127140864 11301002440 11744970393 11921936640 12046123480 12108216900 12592545576 12648429654 12915431360 13039618200 13117234975 13561202928 13908926080 14126253050 14455348176 14691303172 14902420800 15057654350 15498517632 15659960524 15740681970 16144289200 16690711296 16790060768 16864572872 16951503660 17386157600 18069185220 18081603904 18364128965 19273797568 19373147040 19574950655 19869894400 20664690176 20863389120 20987575960 21080716090 21189379575 22036954758 22586481525 22602004880 23489940786 23843873280 24092246960 24216433800 25185091152 25296859308 25830862720 26079236400 26234469950 27122405856 27404930917 27817852160 28252506100 28910696352 29382606344 29804841600 30115308700 30997035264 31319921048 31481363940 31621074135 32288578400 33381422592 33580121536 33729145744 33903007320 34772315200 36138370440 36163207808 36728257930 38547595136 38746294080 39149901310 39351704925 39739788800 41726778240 41975151920 42161432180 42378759150 44073909516 45172963050 45204009760 46979881572 48184493920 48432867600 50370182304 50593718616 50894871703 51661725440 52158472800 52468939900 52701790225 54244811712 54809861834 55092386895 55635704320 56505012200 57821392704 58724851965 58765212688 59609683200 60230617400 61994070528 62639842096 62962727880 63242148270 64577156800 67160243072 67458291488 67806014640 69544630400 72276740880 72326415616 73456515860 77095190272 77492588160 78299802620 78703409850 82214792751 83453556480 83950303840 84322864360 84757518300 88147819032 90345926100 90408019520 91820644825 93959763144 96368987840 96865735200 97874753275 100740364608 101187437232 101789743406 103323450880 104316945600 104937879800 105403580450 108489623424 109619723668 110184773790 113010024400 115642785408 117449703930 117530425376 119219366400 120461234800 125279684192 125925455760 126484296540 129154313600 134320486144 134916582976 135612029280 137024654585 139089260800 144553481760 144652831232 146913031720 152684615109 154190380544 154985176320 156599605240 157406819700 158105370675 164429585502 166907112960 167900607680 168645728720 169515036600 176295638064 180691852200 180816039040 183641289650 187919526288 192737975680 193731470400 195749506550 201480729216 202374874464 203579486812 208633891200 209875759600 210807160900 216979246848 219239447336 220369547580 226020048800 231285570816 234899407860 235060850752 240922469600 250559368384 251850911520 252968593080 254474358515 258308627200 268640972288 269833165952 271224058560 274049309170 275461934475 278178521600 289106963520 293624259825 293826063440 305369230218 309970352640 313199210480 314813639400 316210741350 328859171004 335801215360 337291457440 339030073200 352591276128 356264101921 361383704400 361632078080 367282579300 375839052576 385475951360 387462940800 391499013100 402961458432 404749748928 407158973624 411073963755 417267782400 419751519200 421614321800 433958493696 438478894672 440739095160 452040097600 462571141632 469798815720 470121701504 481844939200 501118736768 503701823040 505937186160 508948717030 516617254400 539666331904 542448117120 548098618340 550923868950 578213927040 587248519650 587652126880 610738460436 626398420960 629627278800 632421482700 657718342008 671602430720 674582914880 678060146400 685123272925 705182552256 712528203842 722767408800 723264156160 734565158600 751678105152 763423075545 770951902720 774925881600 782998026200 805922916864 809499497856 814317947248 822147927510 834535564800 839503038400 843228643600 876957789344 881478190320 904080195200 939597631440 940243403008 963689878400 1002237473536 1007403646080 1011874372320 1017897434060 1068792305763 1079332663808 1084896234240 1096197236680 1101847737900 1156427854080 1174497039300 1175304253760 1221476920872 1252796841920 1259254557600 1264842965400 1272371792575 1315436684016 1343204861440 1349165829760 1356120292800 1370246545850 1410365104512 1425056407684 1445534817600 1469130317200 1503356210304 1526846151090 1549851763200 1565996052400 1618998995712 1628635894496 1644295855020 1679006076800 1686457287200 1753915578688 1762956380640 1781320509605 1808160390400 1879195262880 1880486806016 1927379756800 2004474947072 2014807292160 2023748744640 2035794868120 2055369818775 2137584611526 2169792468480 2192394473360 2203695475800 2312855708160 2348994078600 2350608507520 2442953841744 2505593683840 2518509115200 2529685930800 2544743585150 2630873368032 2698331659520 2712240585600 2740493091700 2820730209024 2850112815368 2891069635200 2938260634400 3006712420608 3053692302180 3131992104800 3237997991424 3257271788992 3288591710040 3358012153600 3372914574400 3507831157376 3525912761280 3562641019210 3616320780800 3758390525760 3817115377725 3854759513600 4029614584320 4047497489280 4071589736240 4110739637550 4275169223052 4384788946720 4407390951600 4697988157200 4701217015040 4885907683488 5011187367680 5037018230400 5059371861600 5089487170300 5261746736064 5343961528815 5396663319040 5424481171200 5480986183400 5641460418048 5700225630736 5782139270400 5876521268800 6013424841216 6107384604360 6263984209600 6514543577984 6577183420080 6716024307200 6745829148800 7015662314752 7051825522560 7125282038420 7516781051520 7634230755450 8094994978560 8143179472480 8221479275100 8550338446104 8769577893440 8814781903200 8906602548025 9395976314400 9402434030080 9771815366976 10022374735360 10074036460800 10118743723200 10178974340600 10523493472128 10687923057630 10848962342400 10961972366800 11400451261472 11564278540800 11753042537600 12214769208720 12527968419200 13029087155968 13154366840160 13491658297600 14031324629504 14103651045120 14250564076840 15033562103040 15268461510900 16189989957120 16286358944960 16442958550200 17100676892208 17539155786880 17629563806400 17813205096050 18791952628800 19543630733952 20148072921600 20237487446400 20357948681200 21046986944256 21375846115260 21923944733600 22800902522944 23506085075200 24429538417440 25055936838400 26058174311936 26308733680320 26719807644075 26983316595200 28207302090240 28501128153680 30067124206080 30536923021800 32572717889920 32885917100400 34201353784416 35078311573760 35259127612800 35626410192100 37583905257600 39087261467904 40474974892800 40715897362400 42093973888512 42751692230520 43847889467200 45601805045888 47012170150400 48859076834880 50111873676800 52617467360640 53439615288150 57002256307360 61073846043600 65145435779840 65771834200800 68402707568832 70156623147520 70518255225600 71252820384200 75167810515200 78174522935808 80949949785600 81431794724800 85503384461040 87695778934400 91203610091776 97718153669760 105234934721280 106879230576300 114004512614720 122147692087200 130290871559680 131543668401600 136805415137664 141036510451200 142505640768400 150335621030400 162863589449600 171006768922080 175391557868800 182407220183552 195436307339520 210469869442560 213758461152600 228009025229440 244295384174400 263087336803200 273610830275328 285011281536800 325727178899200 342013537844160 350783115737600 390872614679040 427516922305200 456018050458880 488590768348800 526174673606400 547221660550656 570022563073600 651454357798400 684027075688320 855033844610400 912036100917760 977181536697600 1052349347212800 1140045126147200 1368054151376640 1710067689220800 1954363073395200 2280090252294400 2736108302753280 3420135378441600 4560180504588800 6840270756883200 13680541513766400
- Sum of all divisors σ(n): 56504130492192768
- Sum of proper divisors (its aliquot sum) s(n): 42823588978426368
- 13680541513766400 is an abundant number, because the sum of its proper divisors (42823588978426368) is greater than itself. Its abundance is 29143047464659968
Bases of 13680541513766400
- Binary: 1100001001101001100001010010010100001101010110000000002
- Hexadecimal: 0x309A6149435600
- Base-36: 3QPCI0C6JUO
Squares and roots of 13680541513766400
- 13680541513766400 squared (136805415137664002) is 187157216109885863200713768960000
- 13680541513766400 cubed (136805415137664003) is 2560412064592243211635820293044997869010944000000
-
The
square root of 13680541513766400 is 116963847.0373063611 -
The
cube root of 13680541513766400 is 239166.9119575519
Scales and comparisons
How big is 13680541513766400?- 13,680,541,513,766,400 seconds is equal to 434,998,903 years, 23 weeks, 18 hours, 40 minutes.
-
To count from 1 to 13,680,541,513,766,400 would take you about one billion, three hundred four million, nine hundred ninety-six thousand, seven hundred ten 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 13680541513766400 cubic inches would be around 19930.6 feet tall.
Recreational maths with 13680541513766400
- 13680541513766400 backwards is 00466731514508631
- 13680541513766400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13680541513766400's digits is 60
- More coming soon!
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"Number 13680541513766400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 13680541513766400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13680541513766400/
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The information we have on file for 13680541513766400 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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