138133290313680969420
138,133,290,313,680,969,420 is an even composite number composed of five prime numbers multiplied together.
138133290313680969420 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138133290313680969420:
22 × 315 × 5 × 173 × 4613
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 17 × 17 × 17 × 461 × 461 × 461)See below for interesting mathematical facts about the number 138133290313680969420 from the Numbermatics database.
Names of 138133290313680969420
- Cardinal: 138133290313680969420 can be written as One hundred thirty-eight quintillion, one hundred thirty-three quadrillion, two hundred ninety trillion, three hundred thirteen billion, six hundred eighty million, nine hundred sixty-nine thousand, four hundred twenty.
Scientific notation
- Scientific notation: 1.3813329031368096942 × 1020
Factors of 138133290313680969420
Divisors of 138133290313680969420
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 243 255 270 289 306 324 340 405 459 461 486 510 540 578 612 729 765 810 867 918 922 972 1020 1156 1215 1377 1383 1445 1458 1530 1620 1734 1836 1844 2187 2295 2305 2430 2601 2754 2766 2890 2916 3060 3468 3645 4131 4149 4335 4374 4590 4610 4860 4913 5202 5508 5532 5780 6561 6885 6915 7290 7803 7837 8262 8298 8670 8748 9180 9220 9826 10404 10935 12393 12447 13005 13122 13770 13830 14580 14739 15606 15674 16524 16596 17340 19652 19683 20655 20745 21870 23409 23511 24565 24786 24894 26010 26244 27540 27660 29478 31212 31348 32805 37179 37341 39015 39185 39366 41310 41490 43740 44217 46818 47022 49130 49572 49788 52020 58956 59049 61965 62235 65610 70227 70533 73695 74358 74682 78030 78370 78732 82620 82980 88434 93636 94044 98260 98415 111537 112023 117045 117555 118098 123930 124470 131220 132651 133229 140454 141066 147390 148716 149364 156060 156740 176868 177147 185895 186705 196830 210681 211599 212521 221085 223074 224046 234090 235110 236196 247860 248940 265302 266458 280908 282132 294780 295245 334611 336069 351135 352665 354294 371790 373410 393660 397953 399687 421362 423198 425042 442170 446148 448092 468180 470220 530604 531441 532916 557685 560115 590490 632043 634797 637563 663255 666145 669222 672138 702270 705330 708588 743580 746820 795906 799374 842724 846396 850084 884340 885735 1003833 1008207 1053405 1057995 1062605 1062882 1115370 1120230 1180980 1193859 1199061 1264086 1269594 1275126 1326510 1332290 1338444 1344276 1404540 1410660 1591812 1594323 1598748 1673055 1680345 1771470 1896129 1904391 1912689 1989765 1998435 2007666 2016414 2106810 2115990 2125210 2125764 2230740 2240460 2264893 2387718 2398122 2528172 2539188 2550252 2653020 2657205 2664580 3011499 3024621 3160215 3173985 3187815 3188646 3346110 3360690 3542940 3581577 3597183 3612857 3792258 3808782 3825378 3979530 3996870 4015332 4032828 4213620 4231980 4250420 4529786 4775436 4782969 4796244 5019165 5041035 5314410 5688387 5713173 5738067 5969295 5995305 6022998 6049242 6320430 6347970 6375630 6377292 6692220 6721380 6794679 7163154 7194366 7225714 7584516 7617564 7650756 7959060 7971615 7993740 9034497 9059572 9073863 9480645 9521955 9563445 9565938 10038330 10082070 10628820 10744731 10791549 10838571 11324465 11376774 11426346 11476134 11938590 11990610 12045996 12098484 12640860 12695940 12751260 13589358 14326308 14348907 14388732 14451428 15057495 15123105 15943230 17065161 17139519 17214201 17907885 17985915 18064285 18068994 18147726 18961290 19043910 19126890 19131876 20076660 20164140 20384037 21489462 21583098 21677142 22648930 22753548 22852692 22952268 23877180 23914845 23981220 27103491 27178716 27221589 28441935 28565865 28690335 28697814 30114990 30246210 31886460 32234193 32374647 32515713 33973395 34130322 34279038 34428402 35815770 35971830 36128570 36137988 36295452 37922580 38087820 38253780 40768074 42978924 43166196 43354284 45172485 45297860 45369315 47829690 51195483 51418557 51642603 53723655 53957745 54192855 54206982 54443178 56883870 57131730 57380670 57395628 60229980 60492420 61152111 61418569 64468386 64749294 65031426 67946790 68260644 68558076 68856804 71631540 71744535 71943660 72257140 81310473 81536148 81664767 85325805 85697595 86071005 90344970 90738630 95659380 96702579 97123941 97547139 97972181 101920185 102390966 102837114 103285206 107447310 107915490 108385710 108413964 108886356 113767740 114263460 114761340 122304222 122837138 128936772 129498588 130062852 135517455 135893580 136107945 143489070 153586449 154255671 154927809 161170965 161873235 162578565 162620946 163329534 170651610 171395190 172142010 180689940 181477260 183456333 184255707 193405158 194247882 195094278 195944362 203840370 204781932 205674228 206570412 214894620 215830980 216771420 243931419 244608444 244994301 245674276 255977415 257092785 258213015 271034910 272215890 286978140 290107737 291371823 292641417 293916543 305760555 307092845 307172898 308511342 309855618 322341930 323746470 325157130 325241892 326659068 341303220 342790380 344284020 366912666 368511414 386810316 388495764 390188556 391888724 406552365 407680740 408323835 460759347 462767013 464783427 483512895 485619705 487735695 487862838 489860905 489988602 511954830 514185570 516426030 542069820 544431780 550368999 552767121 580215474 582743646 585282834 587833086 611521110 614185690 614345796 617022684 619711236 644683860 647492940 650314260 733825332 734982903 737022828 767932245 771278355 774639045 813104730 816647670 870323211 874115469 877924251 881749629 917281665 921278535 921518694 925534026 929566854 967025790 971239410 975471390 975725676 979721810 979977204 1023909660 1028371140 1032852060 1044115673 1100737998 1105534242 1160430948 1165487292 1170565668 1175666172 1219657095 1223042220 1224971505 1228371380 1382278041 1388301039 1394350281 1450538685 1456859115 1463207085 1469582715 1469965806 1535864490 1542556710 1549278090 1626209460 1633295340 1651106997 1658301363 1665527077 1740646422 1748230938 1755848502 1763499258 1834563330 1842557070 1843037388 1851068052 1859133708 1934051580 1942478820 1950942780 1959443620 2088231346 2201475996 2204948709 2211068484 2303796735 2313835065 2323917135 2439314190 2449943010 2610969633 2622346407 2633772753 2645248887 2751844995 2763835605 2764556082 2776602078 2788700562 2901077370 2913718230 2926414170 2939165430 2939931612 3071728980 3085113420 3098556180 3132347019 3302213994 3316602726 3331054154 3481292844 3496461876 3511697004 3526998516 3669126660 3674914515 3685114140 4146834123 4164903117 4176462692 4183050843 4351616055 4370577345 4389621255 4408748145 4409897418 4607593470 4627670130 4647834270 4878628380 4899886020 4953320991 4974904089 4996581231 5220578365 5221939266 5244692814 5267545506 5290497774 5503689990 5527671210 5529112164 5553204156 5577401124 5802154740 5827436460 5852828340 5878330860 6264694038 6604427988 6614846127 6633205452 6662108308 6911390205 6941505195 6971751405 7349829030 7832908899 7867039221 7901318259 7935746661 8255534985 8291506815 8293668246 8327635385 8329806234 8366101686 8703232110 8741154690 8779242510 8817496290 8819794836 9215186940 9255340260 9295668540 9397041057 9906641982 9949808178 9993162462 10441156730 10443878532 10489385628 10535091012 10580995548 11007379980 11024743545 11055342420 12494709351 12529388076 12549152529 13054848165 13111732035 13168863765 13226244435 13229692254 13822780410 13883010390 13943502810 14699658060 14859962973 14924712267 14989743693 15661735095 15665817798 15734078442 15802636518 15871493322 16511069970 16583013630 16587336492 16655270770 16659612468 16732203372 17406464220 17482309380 17558485020 17634992580 18794082114 19813283964 19899616356 19986324924 20734170615 20824515585 20882313460 20915254215 22049487090 23498726697 23601117663 23703954777 23807239983 24766604955 24874520445 24982906155 24989418702 25098305058 26109696330 26223464070 26337727530 26452488870 26459384508 27645560820 27766020780 27887005620 28191123171 28313960309 29719925946 29849424534 29979487386 31323470190 31331635596 31468156884 31605273036 31742986644 33022139940 33074230635 33166027260 33310541540 37484128053 37588164228 37647457587 39164544495 39335196105 39506591295 39678733305 41468341230 41649031170 41830508430 44098974180 44579888919 44774136801 44969231079 46985205285 46997453394 47202235326 47407909554 47614479966 49533209910 49749040890 49965812310 49978837404 50196610116 52219392660 52446928140 52675455060 52904977740 56382246342 56627920618 59439851892 59698849068 59958974772 62473546755 62646940380 62745762645 66148461270 70496180091 70803352989 71111864331 71421719949 74299814865 74623561335 74948718465 74968256106 75294915174 78329088990 78670392210 79013182590 79357466610 82936682460 83298062340 83661016860 84573369513 84941880927 89159777838 89548273602 89938462158 93970410570 93994906788 94404470652 94815819108 95228959932 99066419820 99498081780 99931624620 112452384159 112764492684 112942372761 113255841236 117493633485 118005588315 118519773885 119036199915 124947093510 125491525290 132296922540 133739666757 134322410403 134907693237 140955615855 140992360182 141569801545 141606705978 142223728662 142843439898 148599629730 149247122670 149897436930 149936512212 150589830348 156658177980 157340784420 158026365180 158714933220 169146739026 169883761854 178319555676 179096547204 179876924316 187420640265 187940821140 188237287935 212410058967 213335592993 214265159847 222899444595 223870684005 224846155395 224904768318 225884745522 234987266970 236011176630 237039547770 238072399830 249894187020 250983050580 253720108539 254825642781 267479333514 268644820806 269815386474 281911231710 281984720364 283139603090 283213411956 284447457324 285686879796 297199259460 298494245340 299794873860 338293478052 338827118283 339767523708 352480900455 354016764945 355559321655 357108599745 374841280530 376474575870 401219000271 402967231209 404723079711 422866847565 424709404635 424820117934 426671185986 428530319694 445798889190 447741368010 449692310790 449809536636 451769491044 469974533940 472022353260 474079095540 476144799660 481337325253 507440217078 509651285562 534958667028 537289641612 539630772948 562261920795 563822463420 564711863805 566279206180 637230176901 640006778979 642795479541 668698333785 671612052015 674538466185 677654236566 704961800910 708033529890 711118643310 714217199490 749682561060 752949151740 761160325617 764476928343 802438000542 805934462418 809446159422 845733695130 849418809270 849640235868 853342371972 857060639388 891597778380 895482736020 899384621580 962674650506 1014880434156 1016481354849 1019302571124 1062050294835 1066677964965 1071325799235 1124523841590 1129423727610 1203657000813 1208901693627 1214169239133 1268600542695 1274128213905 1274460353802 1280013557958 1285590959082 1337396667570 1343224104030 1349076932370 1355308473132 1409923601820 1416067059780 1422237286620 1428434398980 1444011975759 1522320651234 1528953856686 1604876001084 1611868924836 1618892318844 1691467390260 1694135591415 1698837618540 1911690530703 1920020336937 1925349301012 1928386438623 2006095001355 2014836156045 2023615398555 2032962709698 2124100589670 2133355929930 2142651598470 2249047683180 2258847455220 2283480976851 2293430785029 2406686626265 2407314001626 2417803387254 2428338478266 2537201085390 2548256427810 2548920707604 2560027115916 2571181918164 2674793335140 2686448208060 2698153864740 2888023951518 3044641302468 3049444064547 3057907713372 3186150884505 3200033894895 3213977397705 3388271182830 3610971002439 3626705080881 3642507717399 3805801628085 3822384641715 3823381061406 3840040673874 3856772877246 4012190002710 4029672312090 4047230797110 4065925419396 4248201179340 4266711859860 4285303196940 4332035927277 4566961953702 4586861570058 4813373252530 4814628003252 4835606774508 4856676956532 5074402170780 5082406774245 5096512855620 5760061010811 5776047903036 5785159315869 6018285004065 6044508468135 6070846195665 6098888129094 6372301769010 6400067789790 6427954795410 6776542365660 6850442930553 6880292355087 7220059878795 7221942004878 7253410161762 7285015434798 7611603256170 7644769283430 7646762122812 7680081347748 7713545754492 8024380005420 8059344624180 8094461594220 8664071854554 9133923907404 9173723140116 9558452653515 9600101684685 9626746505060 9641932193115 10164813548490 10832913007317 10880115242643 10927523152197 11417404884255 11467153925145 11520122021622 11570318631738 12036570008130 12089016936270 12141692391330 12197776258188 12744603538020 12800135579580 12855909590820 12996107781831 13700885861106 13760584710174 14440119757590 14443884009756 14506820323524 14570030869596 15223206512340 15247220322735 15289538566860 17280183032433 17328143709108 17355477947607 18054855012195 18133525404405 18212538586995 19116905307030 19200203369370 19283864386230 20329627096980 20551328791659 20640877065261 21660179636385 21665826014634 21760230485286 21855046304394 22834809768510 22934307850290 23040244043244 23140637263476 24073140016260 24178033872540 24283384782660 25992215563662 27401771722212 27521169420348 28800305054055 28880239515180 28925796579345 30494440645470 32498739021951 32640345727929 32782569456591 34252214652765 34401461775435 34560366064866 34710955895214 36109710024390 36267050808810 36425077173990 38233810614060 38400406738740 38567728772460 38988323345493 41102657583318 41281754130522 43320359272770 43331652029268 43520460970572 43710092608788 45669619537020 45868615700580 51840549097299 51984431127324 52066433842821 54164565036585 54400576213215 54637615760985 57600610108110 57851593158690 60988881290940 61653986374977 61922631195783 64980538909155 64997478043902 65280691455858 65565138913182 68504429305530 68802923550870 69120732129732 69421911790428 72219420048780 72534101617620 72850154347980 77976646690986 82205315166636 82563508261044 86400915162165 86640718545540 86777389738035 97921037183787 98347708369773 102756643958295 103204385326305 103681098194598 104132867685642 108329130073170 108801152426430 109275231521970 115201220216220 115703186317380 116964970036479 123307972749954 123845262391566 129961077818310 129994956087804 130561382911716 131130277826364 137008858611060 137605847101740 155953293381972 156199301528463 162493695109755 163201728639645 163912847282955 172801830324330 173554779476070 184961959124931 185767893587349 194941616727465 195842074367574 196695416739546 205513287916590 206408770652610 207362196389196 208265735371284 216658260146340 217602304852860 218550463043940 233929940072958 246615945499908 247690524783132 259202745486495 259922155636620 260332169214105 293763111551361 295043125109319 308269931874885 309613155978915 312398603056926 324987390219510 326403457279290 327825694565910 345603660648660 347109558952140 350894910109437 369923918249862 371535787174698 389883233454930 391684148735148 393390833479092 411026575833180 412817541305220 467859880145916 468597904585389 489605185918935 491738541848865 518405490972990 520664338428210 554885877374793 557303680762047 584824850182395 587526223102722 590086250218638 616539863749770 619226311957830 624797206113852 649974780439020 652806914558580 655651389131820 701789820218874 739847836499724 743071574349396 779766466909860 780996507642315 881289334654083 885129375327957 924809795624655 928839467936745 937195809170778 979210371837870 983477083697730 1036810981945980 1041328676856420 1052684730328311 1109771754749586 1114607361524094 1169649700364790 1175052446205444 1180172500437276 1233079727499540 1238452623915660 1403579640437748 1405793713756167 1468815557756805 1475215625546595 1561993015284630 1664657632124379 1671911042286141 1754474550547185 1762578669308166 1770258750655914 1849619591249310 1857678935873490 1874391618341556 1958420743675740 1966954167395460 2105369460656622 2219543509499172 2229214723048188 2339299400729580 2342989522926945 2655388125983871 2774429386873965 2786518403810235 2811587427512334 2937631115513610 2950431251093190 3123986030569260 3158054190984933 3329315264248758 3343822084572282 3508949101094370 3525157338616332 3540517501311828 3699239182498620 3715357871746980 4210738921313244 4406446673270415 4425646876639785 4685979045853890 4993972896373137 5015733126858423 5263423651641555 5310776251967742 5548858773747930 5573036807620470 5623174855024668 5875262231027220 5900862502186380 6316108381969866 6658630528497516 6687644169144564 7017898202188740 7028968568780835 7966164377951613 8323288160621895 8359555211430705 8812893346540830 8851293753279570 9371958091707780 9474162572954799 9987945792746274 10031466253716846 10526847303283110 10621552503935484 11097717547495860 11146073615240940 12632216763939732 13276940629919355 14057937137561670 14981918689119411 15047199380575269 15790270954924665 15932328755903226 16646576321243790 16719110422861410 17625786693081660 17702587506559140 18948325145909598 19975891585492548 20062932507433692 21053694606566220 23898493133854839 24969864481865685 25078665634292115 26553881259838710 28115874275123340 28422487718864397 29963837378238822 30094398761150538 31580541909849330 31864657511806452 33293152642487580 33438220845722820 37896650291819196 39830821889758065 45141598141725807 47370812864773995 47796986267709678 49939728963731370 50157331268584230 53107762519677420 56844975437728794 59927674756477644 60188797522301076 63161083819698660 74909593445597055 75235996902876345 79661643779516130 85267463156593191 90283196283451614 94741625729547990 95593972535419356 99879457927462740 100314662537168460 113689950875457588 119492465669274195 135424794425177421 142112438594321985 149819186891194110 150471993805752690 159323287559032260 170534926313186382 180566392566903228 189483251459095980 225707990708629035 238984931338548390 255802389469779573 270849588850354842 284224877188643970 299638373782388220 300943987611505380 341069852626372764 406274383275532263 426337315782965955 451415981417258070 477969862677096780 511604778939559146 541699177700709684 568449754377287940 677123972125887105 767407168409338719 812548766551064526 852674631565931910 902831962834516140 1023209557879118292 1279011947348897865 1354247944251774210 1534814336818677438 1625097533102129052 1705349263131863820 2031371916377661315 2302221505228016157 2558023894697795730 2708495888503548420 3069628673637354876 3837035842046693595 4062743832755322630 4604443010456032314 5116047789395591460 6906664515684048471 7674071684093387190 8125487665510645260 9208886020912064628 11511107526140080785 13813329031368096942 15348143368186774380 23022215052280161570 27626658062736193884 34533322578420242355 46044430104560323140 69066645156840484710 138133290313680969420
- Sum of all divisors σ(n): 463314330194941209600
- Sum of proper divisors (its aliquot sum) s(n): 325181039881260240180
- 138133290313680969420 is an abundant number, because the sum of its proper divisors (325181039881260240180) is greater than itself. Its abundance is 187047749567579270760
Bases of 138133290313680969420
- Binary: 11101111100111111000000011110101101110000101101110001011110110011002
- Hexadecimal: 0x77CFC07ADC2DC5ECC
- Base-36: T5GZORCGZAOR0
Squares and roots of 138133290313680969420
- 138133290313680969420 squared (1381332903136809694202) is 19080805892883668731143734176270975136400
- 138133290313680969420 cubed (1381332903136809694203) is 2635694499820694438897607351525057608870595397394668728888000
-
The
square root of 138133290313680969420 is 11753011967.7332486505 -
The
cube root of 138133290313680969420 is 5169312.4792847907
Scales and comparisons
How big is 138133290313680969420?- 138,133,290,313,680,969,420 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,133,290,313,680,969,420 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 138133290313680969420 cubic inches would be around 430776 feet tall.
Recreational maths with 138133290313680969420
- 138133290313680969420 backwards is 024969086313092331831
- 138133290313680969420 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138133290313680969420's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138133290313680969420 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 138133290313680969420 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138133290313680969420/
Chicago style:
Numbermatics. 2024. "Number 138133290313680969420 - Facts about the integer". https://numbermatics.com/n/138133290313680969420/
The information we have on file for 138133290313680969420 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 138133290313680969420, math, Factors of 138133290313680969420, curriculum, school, college, exams, university, Prime factorization of 138133290313680969420, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred thirty-three quadrillion, two hundred ninety trillion, three hundred thirteen billion, six hundred eighty million, nine hundred sixty-nine thousand, four hundred twenty.