13821118831827784972
13,821,118,831,827,784,972 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13821118831827784972 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 972 divisors.
13821118831827784972 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 13821118831827784972:
22 × 112 × 31 × 37 × 612 × 1572 × 5212
(2 × 2 × 11 × 11 × 31 × 37 × 61 × 61 × 157 × 157 × 521 × 521)See below for interesting mathematical facts about the number 13821118831827784972 from the Numbermatics database.
Names of 13821118831827784972
- Cardinal: 13821118831827784972 can be written as Thirteen quintillion, eight hundred twenty-one quadrillion, one hundred eighteen trillion, eight hundred thirty-one billion, eight hundred twenty-seven million, seven hundred eighty-four thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 1.3821118831827784972 × 1019
Factors of 13821118831827784972
Divisors of 13821118831827784972
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 11 22 31 37 44 61 62 74 121 122 124 148 157 242 244 314 341 407 484 521 628 671 682 814 1042 1147 1342 1364 1628 1727 1891 2084 2257 2294 2684 3454 3721 3751 3782 4477 4514 4588 4867 5731 5809 6908 7381 7442 7502 7564 8954 9028 9577 9734 11462 11618 12617 14762 14884 15004 16151 17908 18997 19154 19277 19468 20801 22924 23236 24649 24827 25234 29524 31781 32302 37994 38308 38554 40931 41602 49298 49654 50468 53537 63041 63562 63899 64604 69967 75988 77108 81797 81862 83204 98596 99308 105347 107074 115351 126082 127124 127798 137677 138787 139934 163594 163724 177661 180079 210694 212047 214148 228811 230702 252164 255596 271139 271441 273097 275354 277574 279868 296887 327188 349591 354349 355322 360158 421388 424094 450241 457622 461404 542278 542882 546194 550708 555148 584197 588907 593774 597587 699182 702889 708698 710644 720316 764119 769637 848188 899767 900482 912013 915244 985211 1084556 1085764 1092388 1158817 1168394 1175897 1177814 1187548 1195174 1268861 1398364 1405778 1417396 1503589 1514447 1528238 1539274 1799534 1800964 1824026 1938641 1954271 1970422 1980869 2317634 2332517 2336788 2351794 2355628 2390348 2535707 2537722 2811556 2982529 2985851 3007178 3026489 3028894 3056476 3078548 3265757 3599068 3648052 3845501 3877282 3897839 3908542 3940844 3961738 4267987 4635268 4665034 4703588 4989617 5071414 5075444 5965058 5971702 6014356 6052978 6057788 6426167 6531514 6573457 7691002 7754564 7795678 7817084 7923476 8405309 8414671 8466007 8535974 9330068 9897437 9979234 10032143 10043317 10142828 10837321 10984819 11930116 11943404 12105956 12842129 12852334 12934867 13063028 13146914 13957471 15382004 15591356 16539479 16557901 16658917 16810618 16829342 16932014 17071948 18110107 19794874 19958468 20064286 20086634 21325051 21615289 21674642 21789559 21969638 25684258 25704668 25869734 26293828 27892777 27914942 28272403 32844361 33078958 33115802 33291379 33317834 33621236 33658684 33864028 35923327 36220214 36452807 39589748 40128572 40173268 42616237 42650102 42876229 43230578 43349284 43579118 43939276 46611259 46947857 51368516 51739468 54885787 55632793 55785554 55829884 56544806 60097871 65688722 66157916 66231604 66582758 66635668 70687837 71729717 71846654 72308027 72440428 72905614 85232474 85300204 85752458 86461156 87158236 91718929 92458399 92561381 93222518 93821159 93895714 109771574 110353573 110476487 111265586 111571108 113089612 119210531 120195742 120833009 131377444 133165516 141263419 141375674 142283537 143459434 143693308 144616054 145811228 154678127 170464948 171504916 181934269 182136911 183437858 184615829 184916798 185122762 186445036 187642318 187791428 199211177 219543148 220707146 220952974 222531172 234575561 237768179 238421062 240391484 241666018 282526838 282751348 284567074 286918868 289232108 304366637 306820547 309356254 310996433 311342827 363868538 364273822 366205169 366875716 369231658 369833596 370245524 375284636 398105999 398422354 400980877 441414292 441905948 468778607 469151122 475158773 475536358 476842124 483332036 512723849 513294931 516426427 565053676 569134148 603743657 608733274 611960723 612642337 613641094 618712508 621992866 622685654 661076581 670073959 727737076 728547644 732410338 738463316 783369869 789026887 796211998 796844708 801961754 937557214 938302244 950317546 951072716 1008908219 1010031961 1018175191 1025447698 1026589862 1032032749 1032852854 1207487314 1215241357 1217466548 1223921446 1225284674 1227282188 1243985732 1245371308 1321103347 1322153162 1329163099 1340147918 1464820676 1553897609 1566739738 1576800769 1578053774 1592423996 1603923508 1701459397 1724616583 1875114428 1900635092 2003506021 2017816438 2020063922 2030774119 2036350382 2050895396 2053179724 2064065498 2065705708 2191322947 2223621227 2414974628 2430482714 2447842892 2450569348 2599590457 2615449969 2642206694 2644306324 2658326198 2680295836 2843286799 3107795218 3133479476 3153601538 3156107548 3348033007 3393600373 3402918794 3420960763 3424771097 3449233166 4007012042 4035632876 4040127844 4061548238 4072700764 4128130996 4379165989 4382645894 4410789647 4447242454 4860965428 5156564677 5199180914 5226746503 5230899938 5284413388 5316652396 5639962339 5646244241 5686573598 5723090699 6215590436 6307203076 6690749209 6696066014 6731567953 6739065707 6787200746 6805837588 6841921526 6849542194 6898466332 7271842391 7370813549 8014024084 8123096476 8617068559 8679295757 8758331978 8765291788 8821579294 8894484908 9435365747 10313129354 10398361828 10453493006 10461799876 11097990409 11110351571 11261565569 11279924678 11292488482 11352360239 11373147196 11446181398 13381498418 13392132028 13463135906 13478131414 13574401492 13683843052 13699084388 14532136817 14543684782 14729921963 14741627098 17234137118 17344808459 17358591514 17516663956 17643158588 18716053367 18870731494 18970782413 18991912447 20626258708 20906986012 22195980818 22220703142 22338515309 22523131138 22559849356 22584976964 22704720478 22892362796 24284465939 24459833497 26762996836 26926271812 26956262828 28595495027 28984685153 29064273634 29087369564 29459843926 29483254196 31276154789 31310990791 34468274236 34689616918 34717183028 36828363077 37329604103 37371182557 37432106734 37672482067 37741462988 37941564826 37983824894 44391961636 44441406284 44677030618 45046262276 45409440956 47785562009 48170825879 48568931878 48880823839 48919666994 57190990054 57494211533 57969370306 58128547268 58919687852 62108686651 62552309578 62621981582 62953997689 69379233836 73598241299 73656726154 74129722777 74659208206 74742365114 74864213468 75344964134 75883129652 75967649788 80587304167 81078949039 89354061236 94787754149 95571124018 96184846909 96341651758 97137863756 97761647678 97839333988 103789023217 105201611563 114381980108 114988423066 115938740612 122213867281 123877221259 124217373302 125104619156 125243963164 125907995378 147196482598 147313452308 148259445554 149318416412 149484730228 150689928268 158575017877 159853504987 161174608334 162029141593 162157898078 189575508298 190792893049 191142248036 192369693818 192683303516 195523295356 207413225479 207578046434 208678606543 208911036917 210403223126 229976846132 244427734562 247557720733 247754442518 248434746604 251815990756 267129125329 269058168467 294392965196 296518891108 314550445297 317150035754 318831536683 319707009974 322349216668 324058283186 324315796156 344037702679 344420898701 349108532639 379151016596 381585786098 384739387636 408135701749 410625645133 411083008127 414826450958 415156092868 417357213086 417822073834 420806446252 488855469124 495115441466 495508885036 525641182099 534258250658 537689062229 538116336934 629100890594 634300071508 637663073366 639414019948 648116566372 688075405358 688841797402 692493974579 698217065278 763171572196 809580654289 816271403498 821251290266 822166016254 829652901916 834714426172 835644147668 886460345837 898525239743 990230882932 1051282364198 1058033315999 1068516501316 1075378124458 1076232673868 1141679255387 1157217727193 1158506659267 1258201781188 1275326146732 1362649433849 1376150810716 1377683594804 1384987949158 1396434130556 1481352422279 1619161308578 1632542806996 1642502580532 1644332032508 1744325196647 1768065794333 1772920691674 1782320557523 1797050479486 2102564728396 2116066631998 2150756248916 2281545480269 2283358510774 2298021406087 2314435454386 2317013318534 2723134928063 2725298867698 2769975898316 2938420378619 2962704844558 2981730254179 3238322617156 3488650393294 3507146903513 3536131588666 3545841383348 3564641115046 3594100958972 3788629885711 3840193859029 4232133263996 4489492719239 4521913089397 4563090960538 4566717021548 4596042812174 4628870908772 4634026637068 4915825554187 5446269856126 5450597735396 5782053003089 5867275661449 5876840757238 5914579684519 5925409689116 5963460508358 6977300786588 7014293807026 7072263177332 7129282230092 7577259771422 7674289342723 7680387718058 8978985438478 9043826178794 9126181921076 9192085624348 9751063804207 9831651108374 9883777637173 10892539712252 11564106006178 11638366475989 11734551322898 11753681514476 11829159369038 11926921016716 12652206754219 12729394999123 12743573251937 14028587614052 15101020964713 15154519542844 15348578685446 15360775436116 16294876645069 17957970876956 18087652357588 19187577163117 19448723737663 19502127608414 19663302216748 19767555274346 23128212012356 23276732951978 23469102645796 23658318738076 24896277806689 25097000282959 25304413508438 25458789998246 25487146503874 29954484208693 30202041929426 30697157370892 32589753290138 32799032795969 38375154326234 38897447475326 39004255216828 39535110548692 42242132449319 46553465903956 49384419911629 49792555613378 50194000565918 50608827016876 50917579996492 50974293007748 54074081096057 54810039624323 59908968417386 60404083858852 64540032275939 65179506580276 65598065591938 76750308652468 77794894950652 84417182769953 84484264898638 98768839823258 99585111226756 100388001131836 108148162192114 108721554008903 109620079248646 119817936834772 129080064551878 131196131183876 139174274296409 140179305771307 166111230611843 168834365539906 168968529797276 179243643095759 181885545504919 197537679646516 213935961114293 216296324384228 217443108017806 219240158497292 258160129103756 273859055873579 278348548592818 280358611542614 332222461223686 337668731079812 358487286191518 360789360755659 363771091009838 427871922228586 434886216035612 468131649906103 547718111747158 556697097185636 560717223085228 594814892056627 602910435867553 664444922447372 709940355035329 716974572383036 721578721511318 727542182019676 771784612007359 855743844457172 921162278847493 928589010469483 936263299812206 1095436223494316 1189629784113254 1205820871735106 1419880710070658 1443157443022636 1530917017260499 1543569224014718 1827223536730273 1842324557694986 1857178020938966 1872526599624412 2000741000554109 2379259568226508 2411641743470212 2839761420141316 3012449614609369 3061834034520998 3087138448029436 3654447073460546 3684649115389972 3714356041877932 4001482001108218 5149448148967133 6024899229218738 6123668069041996 6632014794543083 7308894146921092 8002964002216436 8489630732080949 10132785067322423 10298896297934266 12049798458437476 13264029589086166 16979261464161898 20265570134644846 20597792595868532 22008151006095199 26528059178172332 28556030644272283 33958522928323796 40531140269289692 44016302012190398 56643929638638463 57112061288544566 88032604024380796 93385938052890439 111460635740546653 113287859277276926 114224122577089132 186771876105780878 222921271481093306 226575718554553852 314116337086995113 373543752211561756 445842542962186612 628232674173990226 1256465348347980452 3455279707956946243 6910559415913892486 13821118831827784972
- Sum of all divisors σ(n): 28893733784623850688
- Sum of proper divisors (its aliquot sum) s(n): 15072614952796065716
- 13821118831827784972 is an abundant number, because the sum of its proper divisors (15072614952796065716) is greater than itself. Its abundance is 1251496120968280744
Bases of 13821118831827784972
- Binary: 10111111110011100111101001011001101000011000111010010101000011002
- Hexadecimal: 0xBFCE7A59A18E950C
- Base-36: 2X089Q9RWXUKS
Squares and roots of 13821118831827784972
- 13821118831827784972 squared (138211188318277849722) is 191023325763504635490741243423869040784
- 13821118831827784972 cubed (138211188318277849723) is 2640156085028347608505364288945564760904522021561050298048
-
The
square root of 13821118831827784972 is 3717676536.7400893571 -
The
cube root of 13821118831827784972 is 2399833.2541459679
Scales and comparisons
How big is 13821118831827784972?- 13,821,118,831,827,784,972 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,821,118,831,827,784,972 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13821118831827784972 cubic inches would be around 199986.1 feet tall.
Recreational maths with 13821118831827784972
- 13821118831827784972 backwards is 27948772813881112831
- The number of decimal digits it has is: 20
- The sum of 13821118831827784972's digits is 91
- More coming soon!
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"Number 13821118831827784972 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 13821118831827784972 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/13821118831827784972/
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The information we have on file for 13821118831827784972 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 13821118831827784972, math, Factors of 13821118831827784972, curriculum, school, college, exams, university, Prime factorization of 13821118831827784972, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, eight hundred twenty-one quadrillion, one hundred eighteen trillion, eight hundred thirty-one billion, eight hundred twenty-seven million, seven hundred eighty-four thousand, nine hundred seventy-two.