13345120681728
13,345,120,681,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 13345120681728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13345120681728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13345120681728:
28 × 3 × 113 × 233 × 29 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 11 × 23 × 23 × 23 × 29 × 37)See below for interesting mathematical facts about the number 13345120681728 from the Numbermatics database.
Names of 13345120681728
- Cardinal: 13345120681728 can be written as Thirteen trillion, three hundred forty-five billion, one hundred twenty million, six hundred eighty-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3345120681728 × 1013
Factors of 13345120681728
Divisors of 13345120681728
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 23 24 29 32 33 37 44 46 48 58 64 66 69 74 87 88 92 96 111 116 121 128 132 138 148 174 176 184 192 222 232 242 253 256 264 276 296 319 348 352 363 368 384 407 444 464 484 506 528 529 552 592 638 667 696 704 726 736 759 768 814 851 888 928 957 968 1012 1056 1058 1073 1104 1184 1221 1276 1331 1334 1392 1408 1452 1472 1518 1587 1628 1702 1776 1856 1914 1936 2001 2024 2112 2116 2146 2208 2368 2442 2552 2553 2662 2668 2783 2784 2816 2904 2944 3036 3174 3219 3256 3404 3509 3552 3712 3828 3872 3993 4002 4048 4224 4232 4292 4416 4477 4736 4884 5104 5106 5324 5336 5566 5568 5808 5819 5888 6072 6348 6438 6512 6808 7018 7104 7337 7424 7656 7744 7986 8004 8096 8349 8448 8464 8584 8832 8954 9361 9472 9768 10208 10212 10527 10648 10672 11132 11136 11616 11638 11803 12144 12167 12696 12876 13024 13431 13616 14036 14208 14674 15312 15341 15488 15972 16008 16192 16698 16928 17168 17457 17664 17908 18722 19536 19573 20416 20424 21054 21296 21344 22011 22264 22272 23232 23276 23606 24288 24334 24679 25392 25752 26048 26862 27232 28072 28083 28416 29348 30613 30624 30682 30976 31944 32016 32384 33396 33856 34336 34914 35409 35816 36501 37444 38599 39072 39146 40832 40848 42108 42592 42688 44022 44528 46023 46464 46552 47212 48576 48668 49247 49358 50784 51504 52096 53724 54464 56144 56166 58696 58719 61226 61248 61364 63888 64009 64032 64768 66792 67712 68672 69828 70818 71632 73002 74037 74888 77198 78144 78292 80707 81664 81696 84216 85184 85376 88044 89056 91839 92046 92928 93104 94424 97152 97336 98494 98716 101568 102971 103008 104192 107448 108928 112288 112332 115797 117392 117438 122452 122496 122728 127776 128018 128064 129833 133584 133837 135424 137344 139656 141636 143264 146004 147741 148074 149776 154396 156288 156584 161414 163392 168432 168751 170368 170752 176088 178112 183678 184092 186208 188848 192027 194304 194672 196988 197432 203136 205942 206016 214896 215303 217856 224576 224664 231594 234784 234876 242121 244904 244992 245456 255552 256036 256128 259666 267168 267674 271469 274688 279312 283272 286528 292008 295482 296148 299552 308792 308913 312576 313168 322828 326784 336864 337502 340736 352176 352843 356224 367356 368184 372416 377696 384054 389344 389499 393976 394864 401511 406272 411884 412032 429792 430606 449152 449328 450179 463188 469568 469752 484242 489808 490912 506253 511104 512072 512256 519332 534336 535348 542938 558624 566544 567617 573056 584016 590964 592296 599104 617584 617826 626336 645656 645909 653568 673728 675004 704099 704352 705686 712448 734712 736368 744832 755392 768108 778688 778998 787952 789728 803022 814407 823768 824064 859584 861212 887777 898304 898656 900358 926376 939136 939504 968484 979616 981824 1012506 1022208 1024144 1038664 1058529 1068672 1070696 1085876 1117248 1132681 1133088 1135234 1146112 1168032 1181928 1184592 1198208 1235168 1235652 1252672 1291312 1291818 1347456 1350008 1350537 1408198 1408704 1411372 1428163 1469424 1472207 1472736 1489664 1510784 1536216 1557376 1557996 1575904 1579456 1606044 1628814 1647536 1702851 1719168 1722424 1775554 1797312 1800716 1852752 1856261 1878272 1879008 1936968 1959232 1963648 2025012 2048288 2077328 2112297 2117058 2137344 2141392 2171752 2234496 2265362 2266176 2270468 2336064 2363856 2368333 2369184 2396416 2470336 2471304 2505344 2582624 2583636 2663331 2694912 2700016 2701074 2816396 2817408 2822744 2856326 2938848 2944414 2945472 2986159 3021568 3072432 3114752 3115992 3151808 3158912 3212088 3257628 3295072 3398043 3405702 3438336 3444848 3551108 3594624 3601432 3705504 3712522 3758016 3873936 3881273 3918464 3927296 4050024 4096576 4154656 4224594 4234116 4282784 4284489 4343504 4416621 4468992 4530724 4532352 4540936 4672128 4727712 4736666 4738368 4940672 4942608 4951969 5010688 5165248 5167272 5326662 5400032 5402148 5568783 5632792 5634816 5645488 5712652 5877696 5888828 5890944 5972318 6144864 6231984 6243787 6303616 6317824 6424176 6515256 6590144 6796086 6811404 6889696 7102216 7104999 7189248 7202864 7411008 7425044 7516032 7747872 7762546 7836928 8100048 8193152 8309312 8449188 8468232 8565568 8568978 8687008 8833242 8958477 9061448 9064704 9081872 9344256 9455424 9473332 9476736 9881344 9885216 9903938 10330496 10334544 10653324 10800064 10804296 11137566 11265584 11290976 11425304 11643819 11755392 11777656 11781888 11944636 12289728 12463968 12487574 12607232 12848352 13030512 13055191 13180288 13592172 13622808 13779392 14204432 14209998 14405728 14822016 14850088 14855907 15032064 15495744 15525092 16194277 16200096 16386304 16618624 16898376 16936464 17131136 17137956 17374016 17666484 17916954 18122896 18163744 18731361 18910848 18946664 18953472 19770432 19807876 20418871 20660992 20669088 21306648 21600128 21608592 22275132 22531168 22581952 22850608 23287638 23510784 23555312 23889272 24579456 24927936 24975148 25696704 26051663 26061024 26110382 26360576 27184344 27245616 27558784 28408864 28419996 28811456 29644032 29700176 29711814 30991488 31050184 32388554 32400192 32847749 33237248 33796752 33872928 34262272 34275912 34748032 35332968 35833908 36245792 36327488 37462722 37821696 37893328 39165573 39540864 39615752 40837742 41338176 42613296 42694003 43200256 43217184 44550264 45062336 45163904 45701216 46575276 47110624 47778544 48582831 49158912 49855872 49950296 51393408 52103326 52122048 52220764 54368688 54471659 54491232 55117568 56817728 56839992 57622912 59400352 59423628 61256613 61982976 62100368 64777108 64800384 65695498 67593504 67745856 68551824 68681657 69496064 70665936 71667816 72491584 72654976 74925444 75786656 78154989 78331146 79081728 79231504 81675484 82676352 85226592 85388006 86434368 89100528 90124672 90327808 91402432 93150552 94221248 95557088 97165662 98543247 99711744 99900592 102786816 104206652 104244096 104441528 108737376 108943318 108982464 113635456 113679984 115245824 118800704 118847256 122513226 124200736 128082009 129554216 129600768 131390996 135187008 135491712 137103648 137363314 141331872 143335632 143607101 144983168 145309952 149850888 151573312 156309978 156662292 158463008 163350968 163414977 165352704 170453184 170776012 172868736 178201056 180249344 182804864 186301104 188442496 191114176 194331324 197086494 199801184 206044971 208413304 208488192 208883056 217474752 217886636 217964928 227270912 227359968 237601408 237694512 245026452 248401472 256164018 259108432 262781992 270374016 270983424 274207296 274726628 282663744 286671264 287214202 289966336 299701776 303146624 312619956 313324584 316926016 326701936 326829954 340906368 341552024 345737472 356402112 365609728 372602208 376884992 382228352 388662648 394172988 399602368 412089942 416826608 417766112 430821303 434949504 435773272 435929856 454719936 469634033 475202816 475389024 490052904 496802944 512328036 518216864 525563984 540748032 548414592 549453256 565327488 573342528 574428404 599188249 599403552 606293248 625239912 626649168 633852032 653403872 653659908 681812736 683104048 712804224 745204416 755498227 764456704 777325296 788345976 799204736 824179884 833653216 835532224 861642606 869899008 871546544 909439872 939268066 950778048 980105808 993605888 1024656072 1036433728 1051127968 1096829184 1098906512 1130654976 1146685056 1148856808 1198376498 1198807104 1250479824 1253298336 1267704064 1306807744 1307319816 1366208096 1408902099 1425608448 1490408832 1510996454 1554650592 1576691952 1579678111 1598409472 1648359768 1667306432 1671064448 1723285212 1743093088 1797564747 1818879744 1878536132 1901556096 1960211616 2049312144 2072867456 2102255936 2197813024 2266494681 2293370112 2297713616 2396752996 2397614208 2500959648 2506596672 2613615488 2614639632 2732416192 2817804198 2980817664 3021992908 3109301184 3153383904 3159356222 3296719536 3334612864 3342128896 3446570424 3486186176 3595129494 3757072264 3803112192 3920423232 4098624288 4145734912 4204511872 4395626048 4532989362 4595427232 4739034333 4793505992 4795228416 5001919296 5013193344 5227230976 5229279264 5464832384 5635608396 6043985816 6218602368 6306767808 6318712444 6593439072 6669225728 6893140848 6972372352 7190258988 7514144528 7840846464 8197248576 8409023744 8791252096 9065978724 9190854464 9478068666 9587011984 10003838592 10026386688 10458558528 10929664768 11271216792 12087971632 12437204736 12613535616 12637424888 13186878144 13786281696 13944744704 14380517976 15028289056 15681692928 16394497152 17376459221 17582504192 18131957448 18381708928 18956137332 19174023968 20007677184 20917117056 22542433584 24175943264 25227071232 25274849776 26373756288 27572563392 28761035952 30056578112 32788994304 34752918442 36263914896 36763417856 37912274664 38348047936 41834234112 45084867168 48351886528 50549699552 52129377663 52747512576 55145126784 57522071904 60113156224 69505836884 72527829792 75824549328 76696095872 90169734336 96703773056 101099399104 104258755326 110290253568 115044143808 120226312448 139011673768 145055659584 151649098656 153392191744 180339468672 193407546112 202198798208 208517510652 230088287616 278023347536 290111319168 303298197312 360678937344 404397596416 417035021304 460176575232 556046695072 580222638336 606596394624 834070042608 1112093390144 1213192789248 1668140085216 2224186780288 3336280170432 4448373560576 6672560340864 13345120681728
- Sum of all divisors σ(n): 43392425932800
- Sum of proper divisors (its aliquot sum) s(n): 30047305251072
- 13345120681728 is an abundant number, because the sum of its proper divisors (30047305251072) is greater than itself. Its abundance is 16702184569344
Bases of 13345120681728
- Binary: 110000100011001001110010110101111111000000002
- Hexadecimal: 0xC23272D7F00
- Base-36: 4QANWAJUO
Squares and roots of 13345120681728
- 13345120681728 squared (133451206817282) is 178092246009884399473065984
- 13345120681728 cubed (133451206817283) is 2376662515481899184922474208372407140352
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The
square root of 13345120681728 is 3653097.4092854411 -
The
cube root of 13345120681728 is 23719.6076952067
Scales and comparisons
How big is 13345120681728?- 13,345,120,681,728 seconds is equal to 424,333 years, 29 weeks, 7 hours, 8 minutes, 48 seconds.
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To count from 1 to 13,345,120,681,728 would take you about one million, sixty thousand, eight hundred thirty-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 13345120681728 cubic inches would be around 1976.6 feet tall.
Recreational maths with 13345120681728
- 13345120681728 backwards is 82718602154331
- The number of decimal digits it has is: 14
- The sum of 13345120681728's digits is 51
- More coming soon!
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The information we have on file for 13345120681728 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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