1328642691193125
1,328,642,691,193,125 is an odd composite number composed of seven prime numbers multiplied together.
1328642691193125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 1328642691193125:
32 × 54 × 73 × 11 × 17 × 192 × 1012
(3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 17 × 19 × 19 × 101 × 101)See below for interesting mathematical facts about the number 1328642691193125 from the Numbermatics database.
Names of 1328642691193125
- Cardinal: 1328642691193125 can be written as One quadrillion, three hundred twenty-eight trillion, six hundred forty-two billion, six hundred ninety-one million, one hundred ninety-three thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.328642691193125 × 1015
Factors of 1328642691193125
Divisors of 1328642691193125
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 3 5 7 9 11 15 17 19 21 25 33 35 45 49 51 55 57 63 75 77 85 95 99 101 105 119 125 133 147 153 165 171 175 187 209 225 231 245 255 275 285 303 315 323 343 357 361 375 385 399 425 441 475 495 505 525 539 561 595 625 627 665 693 707 735 765 825 833 855 875 909 931 935 969 1029 1045 1071 1083 1111 1125 1155 1197 1225 1275 1309 1375 1425 1463 1515 1575 1615 1617 1683 1715 1717 1785 1805 1875 1881 1919 1925 1995 2121 2125 2205 2261 2375 2475 2499 2525 2527 2625 2695 2793 2805 2907 2975 3087 3135 3249 3325 3333 3465 3535 3553 3675 3773 3825 3927 3971 4125 4165 4275 4375 4389 4545 4655 4675 4845 4851 4949 5145 5151 5225 5355 5415 5555 5625 5757 5775 5831 5985 6125 6137 6363 6375 6517 6545 6783 6875 7125 7315 7497 7575 7581 7777 7875 8075 8085 8379 8415 8575 8585 8925 9025 9163 9405 9595 9625 9975 9999 10201 10241 10605 10625 10659 11025 11305 11319 11781 11875 11913 12019 12375 12495 12625 12635 13125 13167 13433 13475 13965 14025 14535 14847 14875 15435 15453 15675 15827 16245 16625 16665 17271 17325 17493 17675 17689 17765 18375 18411 18865 18887 19125 19551 19635 19855 20349 20625 20825 21109 21375 21945 22725 22743 23275 23331 23375 24225 24255 24745 24871 25725 25755 26125 26775 27075 27489 27775 27797 28785 28875 29155 29925 30603 30625 30685 30723 31815 31875 31977 32585 32623 32725 33915 33957 34643 35625 35739 36057 36461 36575 37485 37875 37905 38885 39375 40299 40375 40425 41895 42075 42875 42925 42959 44541 44625 45125 45815 47025 47481 47975 48125 49875 49995 51005 51205 52479 53025 53067 53295 54439 55125 55233 56525 56595 56661 58653 58905 59565 60095 61875 62475 63125 63175 63327 64141 65835 67165 67375 67507 69825 69993 70125 71407 71687 72675 74235 74375 74613 77175 77265 78375 79135 81225 82467 83125 83325 83391 84133 86355 86625 87465 88375 88445 88825 91809 91875 92055 92169 94031 94325 94435 95625 97755 97869 98175 99275 101745 103929 104125 105545 106875 108171 109383 109725 110789 112211 113625 113715 116375 116655 116875 120897 121125 121275 123725 123823 124355 128625 128775 128877 130625 132209 133875 135375 137445 138875 138985 142443 143925 144375 145775 147763 149625 153015 153425 153615 159075 159201 159885 162925 163115 163317 163625 169575 169785 169983 173215 173417 174097 178695 180285 182305 182875 187425 189375 189525 189981 192423 193819 194425 194579 201495 201875 202125 202521 209475 210375 214221 214375 214625 214795 215061 222705 223125 223839 225625 228361 229075 235125 237405 239875 249375 249975 250173 252399 255025 255227 256025 262395 265125 265335 266475 272195 275625 276165 282093 282625 282975 283305 293265 293607 294525 297825 300475 300713 311787 312375 315875 316635 320705 328149 329175 332367 335825 336633 336875 337535 349125 349965 350625 357035 358435 358853 363375 371175 371469 373065 381073 385875 386325 386631 391875 395675 396627 401071 406125 412335 416625 416955 420665 431775 433125 437325 441875 442225 443289 444125 459045 460275 460845 470155 471625 472175 472549 488775 489345 489951 490875 496375 499849 508725 519645 520251 520625 522291 527725 540855 546915 548625 553945 561055 568125 568575 577269 581457 581875 583275 583737 588931 604485 605625 606375 607563 618625 619115 619837 621775 642663 643125 643875 644385 645183 658217 661045 669375 676875 685083 687225 694375 694925 712215 719625 728875 738815 748125 757197 765075 765681 767125 768075 785477 795375 796005 799425 814625 815575 816585 818125 846279 847875 848925 849915 866075 867085 870485 893475 901425 902139 911525 914375 925463 937125 947625 949905 962115 969095 972125 972895 997101 1007475 1009899 1010625 1012605 1034341 1047375 1051875 1071105 1073125 1073975 1075305 1076559 1113525 1114407 1119195 1141805 1143219 1145375 1175625 1187025 1189881 1199375 1203213 1213919 1218679 1249875 1250865 1261995 1275125 1276135 1280125 1311975 1325625 1326675 1329867 1332375 1356733 1360975 1362053 1380825 1410465 1413125 1414875 1416525 1417647 1466325 1468035 1472625 1489125 1499547 1502375 1503565 1558935 1560753 1561875 1566873 1579375 1583175 1598527 1603525 1640745 1645875 1661835 1679125 1683165 1687675 1744371 1745625 1749825 1751211 1766793 1785175 1786589 1792175 1794265 1816875 1855875 1857345 1859511 1865325 1905365 1907587 1929375 1931625 1933155 1974651 1978375 1983135 2005355 2030625 2055249 2061675 2083125 2084775 2103325 2104991 2132009 2158875 2186625 2211125 2216445 2220625 2295225 2297043 2301375 2304225 2350775 2356431 2358125 2360875 2362745 2443875 2446725 2449755 2454375 2481875 2499245 2511971 2543625 2598225 2601255 2611455 2638625 2704275 2706417 2734575 2743125 2769725 2776389 2805275 2807497 2842875 2886345 2907285 2916375 2918685 2944655 3022425 3031875 3037815 3093125 3095575 3099185 3103023 3108875 3213315 3219375 3221925 3225915 3229677 3291085 3294923 3305225 3307843 3425415 3429657 3436125 3474625 3498943 3561075 3598125 3609639 3641757 3644375 3656037 3682561 3694075 3785985 3825375 3828405 3835625 3840375 3927385 3976875 3980025 3997125 4070199 4073125 4077875 4082925 4086159 4231395 4239375 4244625 4249575 4252941 4330375 4335425 4338859 4352425 4467375 4498641 4507125 4510695 4557625 4627315 4685625 4738125 4749525 4795581 4810575 4845475 4860625 4864475 4985505 5037375 5049495 5063025 5171705 5236875 5300379 5355525 5359767 5369875 5376525 5382795 5498339 5567625 5572035 5578533 5595975 5709025 5716095 5722761 5726875 5923953 5935125 5949405 6016065 6069595 6093395 6249375 6254325 6309975 6314973 6375625 6380675 6396027 6400625 6478241 6559875 6633375 6649335 6661875 6783665 6804875 6810265 6818207 6904125 7052325 7069293 7074375 7082625 7088235 7240387 7331625 7340175 7363125 7445625 7497735 7511875 7517825 7535913 7794675 7803765 7834365 7915875 7992635 8017625 8203725 8229375 8309175 8329167 8395625 8415825 8422491 8438375 8497433 8721855 8749125 8756055 8833965 8925875 8932945 8960875 8971325 9279375 9286725 9297555 9309069 9326625 9497131 9526825 9537935 9658125 9665775 9873255 9884769 9891875 9915675 9923529 10026775 10276245 10308375 10423875 10496829 10516625 10524955 10660045 10794375 10925271 10933125 10968111 11047683 11055625 11082225 11189689 11476125 11485215 11506875 11521125 11753875 11782155 11804375 11813725 12210597 12219375 12233625 12248775 12258477 12496225 12506123 12559855 12718125 12991125 13006275 13016577 13057275 13193125 13353109 13521375 13532085 13672875 13848625 13881945 14026375 14037485 14214375 14386743 14431725 14536425 14581875 14593425 14723275 14924063 15112125 15189075 15477875 15495925 15515115 15544375 16066575 16079301 16109625 16129575 16148385 16455425 16474615 16495017 16526125 16539215 17127075 17148285 17168283 17180625 17373125 17494715 17583797 17805375 18048195 18208785 18280185 18412805 18470375 18929925 18944919 19126875 19142025 19188081 19201875 19434723 19636925 19652479 19900125 19985625 20350995 20389375 20414625 20430795 20454621 21156975 21223125 21247875 21264705 21651875 21677125 21694295 21721161 21762125 22336875 22493205 22535625 22553475 22607739 22788125 23064461 23136575 23154901 23747625 23977905 24052875 24227375 24322375 24927525 25186875 25247475 25267473 25315125 25492299 25777927 25858525 26501895 26777625 26798835 26849375 26882625 26913975 27491695 27838125 27860175 27892665 27979875 28491393 28545125 28580475 28613805 29619765 29654307 29675625 29747025 29770587 30080325 30347975 30372013 30466975 31271625 31490487 31549875 31574865 31903375 31980135 32391205 32799375 33143049 33166875 33246675 33569067 33918325 34024375 34051325 34091035 34520625 35261625 35346465 35413125 35441175 36201935 36244153 36658125 36700875 37488675 37518369 37589125 37679565 38488373 38973375 39018825 39049731 39171825 39579375 39963175 40059327 40088125 40508171 41018625 41545875 41645835 42079125 42112455 42191875 42487165 43609275 43745625 43780275 44169825 44629375 44664725 44772189 44804375 44856625 46433625 46487775 46545345 46633125 47485655 47634125 47689675 47727449 48328875 49366275 49423845 49485051 49578375 49617645 50133875 51381225 51541875 52119375 52484145 52583125 52624775 52751391 53300225 54626355 54840555 55238415 55411125 55948445 57380625 57426075 57605625 58304169 58769375 58910775 58957437 59068625 59482031 61052985 61168125 61243875 61292385 61363863 62481125 62530615 62603537 62799275 64955625 65031375 65082885 65163483 65286375 66479917 66765545 67606875 67660425 68364375 69193383 69243125 69409725 69464703 70131875 70187425 71933715 72158625 72682125 72967125 73616375 74620315 75560625 75945375 76476897 77333781 77389375 77479625 77575575 80332875 80396505 80548125 80647875 80741925 82277125 82373075 82475085 82630625 82696075 85474179 85635375 85741425 85841415 87473575 87918985 89026875 90240975 91043925 91116039 91400925 92064025 92351875 93471763 94649625 94724595 95710125 95940405 97173615 98184625 98262395 99500625 100707201 101754975 102073125 102153975 102273105 104468441 105784875 106239375 106323525 108385625 108471475 108605805 108732459 108810625 112466025 112555107 112767375 113038695 115322305 115465119 115682875 115774505 118738125 119889525 120177981 120264375 121136875 121524513 121611875 123086579 124637625 126237375 126337365 126575625 127461495 128889635 129292625 132509475 133888125 133994175 134316567 134413125 134569875 137458475 137567353 139300875 139463325 139899375 142456965 142725625 142902375 143069025 143182347 148098825 148271535 148735125 148852935 150401625 151739875 151860065 152334875 156358125 157452435 157749375 157874325 158254173 159516875 159900675 161451227 161956025 165715245 166233375 167845335 169591625 170256625 170455175 176308125 176732325 176872311 177205875 178446093 180445489 181009675 181220765 183504375 187443375 187591845 187810611 187945625 188397825 192441865 194866875 195094125 195248655 195859125 199439751 199815875 200296635 202540855 205093125 207580149 207729375 208229175 208394109 210395625 210562275 212435825 212604091 218046375 218901375 220849125 223323625 223860945 224283125 232001343 232168125 232438875 232726725 237428275 238170625 238448375 238637245 241644375 246831375 247119225 247425255 247891875 248088225 250669375 253709071 256906125 262420725 263123875 263756955 266501125 273131775 273348117 274202775 276192075 277055625 279742225 280415289 283557197 287130375 291520845 294553875 294787185 295343125 297410155 305264925 306219375 306461925 306819315 312405625 312653075 313017685 313405323 313996375 325156875 325414425 325817415 326197377 326431875 332399585 333827725 334092143 338302125 345966915 346395357 347048625 347323515 350937125 359668575 360793125 363410625 364573539 364835625 368081875 369259737 373101575 379726875 382384485 386668905 387398125 387877875 401664375 401982525 403239375 403709625 411385625 411865375 412375425 412702059 413480375 427370895 428176875 428707125 429207075 429547041 437367875 438224759 439594925 451204875 455219625 455580195 457004625 460320125 467358815 473248125 473622975 478550625 479702025 484353681 485868075 490923125 491311975 503536005 508774875 510769875 511365525 522342205 528924375 531617625 535338279 541336467 542357375 543029025 543662295 562330125 562775535 563431833 563836875 565193475 576611525 577325595 578414375 578872525 598319253 599447625 600889905 607622565 615432895 623188125 631186875 631686825 637307475 637812273 644448175 646463125 654302341 662547375 669970875 671582835 672849375 687292375 687836765 688638907 696504375 697316625 712284825 714511875 715345125 715911735 731279087 740494125 741357675 743675625 744264675 752008125 758699375 759300325 761127213 761674375 787262175 789371625 791270865 799503375 807256135 809780125 828576225 831166875 839226675 841245867 847958125 850671591 851283125 852275875 883661625 884361555 886029375 892230465 902227445 905048375 906103825 937216875 937959225 939053055 940215969 941989125 962209325 975470625 976243275 979295625 997198755 999079375 1001483175 1002276429 1012704275 1037900745 1041145875 1041970545 1052811375 1062179125 1063020455 1090231875 1094506875 1104245625 1107779211 1116618125 1119304725 1130158589 1160006715 1162194375 1163633625 1187141375 1192241875 1193186225 1234156875 1235596125 1237126275 1238106177 1240441125 1263118423 1268545355 1284530625 1312103625 1314674277 1315619375 1318784775 1332505625 1365658875 1366740585 1371013875 1380960375 1398711125 1402076445 1417785985 1435651875 1453061043 1457604225 1472769375 1473935925 1487050775 1526324625 1532309625 1534096575 1563265375 1565088425 1567026615 1569981875 1624009401 1627072125 1629087075 1630986885 1661997925 1669138625 1670460715 1691510625 1729834575 1731976785 1735243125 1736617575 1754685625 1775963497 1798342875 1822867695 1846298685 1865507875 1911922425 1913436819 1933344525 1939389375 1962907023 1984900379 2009912625 2018548125 2059326875 2061877125 2063510295 2065916721 2067401875 2136854475 2143535625 2146035375 2147735205 2186839375 2191123795 2193837261 2197974625 2256024375 2276098125 2277900975 2283381639 2285023125 2301600625 2336794075 2338645001 2368114875 2398510125 2421768405 2429340375 2456559875 2517680025 2543874375 2552014773 2553849375 2556827625 2611711025 2658088125 2676691395 2706682335 2711786875 2715145125 2718311475 2811650625 2813877675 2817159165 2825967375 2883057625 2886627975 2894362625 2991596265 2997238125 3004449525 3006829287 3038112825 3067573313 3077164475 3158434125 3186537375 3189061365 3222240875 3271511705 3312736875 3349854375 3357914175 3390475767 3436461875 3439183825 3443194535 3486583125 3561424125 3576725625 3579558675 3656395435 3702470625 3706788375 3721323375 3789355269 3796501625 3805636065 3936310875 3944022831 3946858125 3956354325 3997516875 4036280675 4048900625 4142881125 4196133375 4206229335 4253357955 4261379375 4418308125 4421807775 4461152325 4511137225 4525241875 4530519125 4689796125 4695265275 4701079845 4709945625 4811046625 4820472349 4881216375 4985993775 5007415875 5011382145 5063521375 5189503725 5205729375 5209852725 5264056875 5310895625 5315102275 5327890491 5538896055 5596523625 5650792945 5800033575 5818168125 5888721069 5935706875 5954701137 5965931125 6177980625 6185631375 6190530885 6197750163 6202205625 6315592115 6342726775 6560518125 6573371385 6581511783 6593923875 6828294375 6833702925 6855069375 6904801875 6993555625 7010382225 7015935003 7088929925 7265305215 7288021125 7369679625 7435253875 7631623125 7661548125 7670482875 7816326875 7825442125 7835133075 8120047005 8135360625 8145435375 8154934425 8309989625 8345693125 8352303575 8649172875 8659883925 8683087875 8879817485 8991714375 9114338475 9202719939 9231493425 9327539375 9559612125 9567184095 9666722625 9814535115 9924501895 10049563125 10171427301 10309385625 10317551475 10329583605 10684272375 10730176875 10738676025 10955618975 10969186305 10989873125 11368065807 11389504875 11416908195 11683970375 11693225005 11840574375 11992550625 12108842025 12146701875 12282799375 12431744479 12588400125 12760073865 12784138125 13058555125 13383456975 13533411675 13575725625 13591557375 13894302653 14069388375 14085795825 14129836875 14415288125 14433139875 14461417047 14471813125 14957981325 15022247625 15034146435 15190564125 15337866565 15385822375 15792170625 15932686875 15945306825 15983671473 16111204375 16357558525 16789570875 16952378835 17195919125 17215972675 17807120625 17864103411 17897793375 18281977175 18533941875 18606616875 18946776345 18982508125 19028180325 19681554375 19720114155 19781771625 20181403375 20714405625 20980666875 21031146675 21047805009 21266789775 21473013191 22109038875 22305761625 22555686125 22652595625 23448980625 23476326375 23505399225 24055233125 24102361745 24406081875 24929968875 25037079375 25056910725 25317606875 25947518625 26049263625 26575511375 26639452455 27608159817 27694480275 27982618125 28253964725 29000167875 29443605345 29773505685 29829655625 30928156875 30952654425 30988750815 31577960575 31713633875 32866856925 32907558915 32969619375 33743306443 34168514625 35051911125 35079675015 35444649625 36326526075 36440105625 36848398125 37176269375 37295233437 38352414375 39127210625 39175665375 40600235025 40727176875 40774672125 41549948125 41682907959 41761517875 43245864375 43299419625 43384251141 43415439375 44399087425 45571692375 46013599695 46157467125 47798060625 47835920475 48333613125 49072675575 49622509475 50857136505 51587757375 51647918025 53421361875 53693380125 54778094875 54845931525 56840329035 56947524375 57084540975 58419851875 58466125025 60544210125 62158722395 62942000625 63800369325 64419039573 65292775625 66917284875 67667058375 67957786875 69471513265 70346941875 70428979125 72165699375 72307085235 74789906625 75111238125 75170732175 75952820625 76689332825 76929111875 79726534125 79918357365 81787792625 83947854375 84761894175 85979595625 86079863375 89320517055 89488966875 91409885875 94733881725 95140901625 98600570775 98908858125 100907016875 101229919329 105155733375 105239025045 106333948875 107365065955 110545194375 111528808125 111885700311 112778430625 117381631875 117526996125 120511808725 124649844375 125048723877 125284553625 129737593125 130246318125 132877556875 133197262275 138040799085 138472401375 141269823625 145000839375 147218026725 148867528425 154763272125 154943754075 157889802875 158568169375 164334284625 164537794575 168716532215 170842573125 175259555625 175398375075 177223248125 181632630375 186476167185 193257118719 195878326875 203001175125 203873360625 208414539795 208807589375 216497098125 216921255705 221995437125 227858461875 230067998475 230787335625 236203145101 239179602375 245363377875 248112547375 254285682525 257938786875 258239590125 268466900625 273890474375 274229657625 284201645175 285422704875 292330625125 302721050625 303689757987 310793611975 319001846625 322095197865 334586424375 338335291875 347357566325 352144895625 361535426175 373949533125 375853660875 383446664125 398632670625 399591786825 408938963125 423809470875 430399316875 446602585275 457049429375 473669408625 475704508125 493002853875 506149596645 525778666875 526195125225 531669744375 536825329775 559428501555 587634980625 602559043625 625243619385 626422768125 665986311375 690203995425 692362006875 706349118125 708609435303 736090133625 744337642125 773816360625 774718770375 789449014375 821671423125 822688972875 843582661075 876991875375 908163151875 932380835925 966285593595 1015005875625 1042072698975 1084606278525 1109977185625 1150339992375 1181015725505 1195898011875 1226816889375 1240562736875 1271428412625 1291197950625 1371148288125 1421008225875 1427113524375 1461653125625 1518448789935 1553968059875 1595009233125 1610475989325 1736787831625 1807677130875 1879268304375 1917233320625 1997958934125 2119047354375 2125828305909 2233012926375 2368347043125 2465014269375 2530747983225 2630975626125 2684126648875 2797142507775 3012795218125 3126218096925 3329931556875 3451019977125 3543047176515 3680450668125 3721688210625 3873593851875 4113444864375 4217913305375 4384959376875 4661904179625 4831427967975 5210363494875 5423031392625 5751699961875 5905078627525 6357142063125 7105041129375 7592243949675 7769840299375 8052379946625 8683939158125 9038385654375 9989794670625 10629141529545 11165064631875 12653739916125 13154878130625 13420633244375 13985712538875 15631090484625 17255099885625 17715235882575 21089566526875 23309520898125 24157139839875 26051817474375 27115156963125 29525393137625 37961219748375 40261899733125 53145707647725 63268699580625 69928562694375 78155452423125 88576179412875 120785699199375 147626965688125 189806098741875 265728538238625 442880897064375 1328642691193125
- Sum of all divisors σ(n): 3443473968105600
- Sum of proper divisors (its aliquot sum) s(n): 2114831276912475
- 1328642691193125 is an abundant number, because the sum of its proper divisors (2114831276912475) is greater than itself. Its abundance is 786188585719350
Bases of 1328642691193125
- Binary: 1001011100001100100101110111010010001011001001001012
- Hexadecimal: 0x4B864BBA45925
- Base-36: D2YQ0XSR39
Squares and roots of 1328642691193125
- 1328642691193125 squared (13286426911931252) is 1765291400860909720436047265625
- 1328642691193125 cubed (13286426911931253) is 2345441517579920709459470722162403425048828125
-
The
square root of 1328642691193125 is 36450551.3153522137 -
The
cube root of 1328642691193125 is 109935.0219878951
Scales and comparisons
How big is 1328642691193125?- 1,328,642,691,193,125 seconds is equal to 42,246,727 years, 42 weeks, 3 days, 20 hours, 18 minutes, 45 seconds.
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To count from 1 to 1,328,642,691,193,125 would take you about one hundred twenty-six million, seven hundred forty thousand, one hundred eighty-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 1328642691193125 cubic inches would be around 9161.3 feet tall.
Recreational maths with 1328642691193125
- 1328642691193125 backwards is 5213911962468231
- 1328642691193125 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1328642691193125's digits is 63
- More coming soon!
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The information we have on file for 1328642691193125 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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