90441131809699125
90,441,131,809,699,125 is an odd composite number composed of seven prime numbers multiplied together.
90441131809699125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 90441131809699125:
33 × 53 × 7 × 13 × 172 × 1372 × 2332
(3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 17 × 17 × 137 × 137 × 233 × 233)See below for interesting mathematical facts about the number 90441131809699125 from the Numbermatics database.
Names of 90441131809699125
- Cardinal: 90441131809699125 can be written as Ninety quadrillion, four hundred forty-one trillion, one hundred thirty-one billion, eight hundred nine million, six hundred ninety-nine thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 9.0441131809699125 × 1016
Factors of 90441131809699125
Divisors of 90441131809699125
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 3 5 7 9 13 15 17 21 25 27 35 39 45 51 63 65 75 85 91 105 117 119 125 135 137 153 175 189 195 221 225 233 255 273 289 315 325 351 357 375 411 425 455 459 525 585 595 663 675 685 699 765 819 867 875 945 959 975 1071 1105 1125 1165 1233 1275 1365 1445 1547 1575 1625 1631 1755 1781 1785 1989 2023 2055 2097 2125 2275 2295 2329 2457 2601 2625 2877 2925 2975 3029 3213 3315 3375 3425 3495 3699 3757 3825 3961 4095 4335 4641 4725 4795 4875 4893 5343 5355 5525 5825 5967 6069 6165 6291 6375 6825 6987 7225 7735 7803 7875 8155 8631 8775 8905 8925 9087 9945 10115 10275 10485 11271 11375 11475 11645 11883 12285 12467 13005 13923 14385 14625 14679 14875 15145 16029 16065 16303 16575 17125 17475 18207 18495 18769 18785 19125 19805 20475 20961 21203 21675 23205 23625 23975 24465 25893 26299 26715 26775 27261 27625 27727 29125 29835 30277 30345 30825 31455 31921 33813 34125 34935 35649 36125 37401 38675 39015 39593 40775 41769 43155 43875 44037 44525 44625 45435 48087 48909 49725 50575 51375 51493 52425 54289 54621 56307 56355 57375 58225 59415 61425 62335 62883 63609 65025 67337 69615 71925 73395 75725 78897 80145 80325 81515 81783 82875 83181 87375 90831 91035 92475 93845 93925 95763 99025 101439 102375 104805 106015 106947 108375 112203 116025 118779 119875 122325 129465 131383 131495 133575 133875 136305 138635 146727 149175 151385 151725 154125 154479 157275 159605 162867 168921 169065 174675 178245 187005 190827 193375 195075 197965 202011 203875 208845 211939 215775 220185 222625 223447 227175 236691 240435 243997 244545 248625 249543 252875 257465 262125 271445 272493 273105 277151 281535 281775 287289 291125 297075 307125 311675 314415 318045 319073 325125 336609 336685 348075 356337 359625 360451 366975 378625 380023 394149 394485 400725 401625 407575 408915 414973 415905 440181 454155 455175 462375 463437 469225 469625 471359 478815 488601 495125 506763 507195 514709 524025 530075 534735 542657 561015 572481 580125 593895 606033 611625 635817 647325 656915 657475 667875 670341 681525 693175 705757 710073 731991 733635 745875 748629 756925 758625 772395 786375 798025 814335 817479 831453 844605 845325 861867 873375 875381 891225 922913 935025 954135 957219 975375 989825 1010055 1044225 1059695 1069011 1078875 1081353 1100925 1117235 1135875 1140069 1182447 1183455 1202175 1219985 1222725 1244919 1247715 1287325 1357225 1362465 1365525 1385755 1390311 1407675 1408875 1414077 1436445 1465803 1485375 1544127 1558375 1572075 1590225 1595365 1627971 1683045 1683425 1707979 1740375 1781685 1802255 1818099 1834875 1900115 1907451 1970745 1972425 2003625 2011023 2037875 2044575 2074865 2079525 2117271 2195973 2200905 2233511 2270775 2275875 2317185 2346125 2356795 2394075 2443005 2494359 2533815 2535975 2573545 2620125 2626143 2650375 2673675 2713285 2768739 2805075 2862405 2871657 2904811 2969475 3030165 3179085 3236625 3244059 3284575 3287375 3351705 3407625 3420207 3465875 3528785 3547341 3550365 3602963 3659955 3668175 3734757 3743145 3784625 3798599 3861975 3990125 4071675 4087395 4147949 4157265 4223025 4226625 4242231 4309335 4373177 4376905 4456125 4614565 4632381 4675125 4770675 4786095 4883913 4940299 4949125 5050275 5123937 5221125 5298475 5345055 5406765 5424241 5504625 5586175 5700345 5722353 5912235 5917275 6010875 6033069 6099925 6113625 6127667 6224595 6238575 6351813 6436625 6460391 6587919 6700533 6786125 6812325 6827625 6928775 6951555 7038375 7054541 7070385 7182225 7329015 7437593 7483077 7720635 7860375 7878429 7951125 7976825 8139855 8306217 8415225 8417125 8539895 8614971 8714433 8908425 9011275 9090495 9225169 9500575 9537255 9732177 9853725 9862125 10055115 10222875 10260621 10374325 10397625 10586355 10808889 10979865 11004525 11167555 11204271 11353875 11395797 11585925 11783975 11970375 11997869 12215025 12443847 12471795 12669075 12679875 12726693 12867725 13119531 13130715 13368375 13566425 13843695 13897143 14025375 14312025 14358285 14524055 14651739 14820897 14847375 15150825 15371811 15689521 15895425 16220295 16272723 16422875 16758525 17101035 17643925 17736705 17751825 18014815 18299775 18340875 18383001 18673785 18715725 18992995 19055439 19309875 19381173 20101599 20358375 20436975 20739745 20786325 21115125 21163623 21211155 21546675 21865885 21884525 22312779 23072825 23161905 23635287 23853375 23930475 24419565 24701495 24918651 25251375 25619685 26143299 26492375 26725275 27033825 27121205 27675507 27930875 28501725 28611765 29035643 29561175 29586375 30165345 30499625 30612239 30638335 31122975 31192875 31759065 32301955 32426667 32939595 33502665 34061625 34187391 34643875 34757775 35272705 35351925 35911125 35993607 36645075 37187965 37331541 37415385 37969687 38603175 39358593 39392145 39884125 40699275 41531085 42076125 42699475 43074855 43572165 44462691 44542125 45056375 45452475 46115433 46125845 47068563 47502875 47686275 48660885 48818169 49268625 49381787 50275575 51303105 51871625 52063151 52931775 54044445 54899325 55022625 55149003 55837775 56021355 56851301 56978985 57929625 58143519 58919875 59989345 60304797 61075125 62219235 62358975 63345375 63490869 63633465 64338625 64576183 65597655 65653575 66938337 67832125 69218475 69485715 70515133 71560125 71791425 72620275 73258695 74104485 74344009 75754125 76859055 78429897 78447605 79477125 81101475 81363615 83026521 83792625 83985083 85505175 87106929 88219625 88683525 88759125 90074075 91498875 91836717 91915005 93368925 93578625 94964975 95277195 96688709 96905865 97280001 100507995 102184875 102562173 103698725 103931625 105818115 106055775 107733375 107980821 109329425 109422625 109826647 111563895 111994623 113909061 115364125 115809525 118075779 118176435 119652375 119927197 122097825 123507475 124593255 126439081 128098425 130716495 133388073 133626375 135169125 135606025 138377535 141205689 142508625 143058825 145178215 146454507 147805875 148145361 150826725 153061195 153191675 155614875 156189453 158795325 161509775 162133335 164697975 165447009 167513325 170553903 170936955 173788875 174430557 176363525 176759625 179968035 183225375 185939825 186657705 187076925 189848435 190472607 193015875 193728549 196792965 196960725 200815011 203496375 203963773 207655425 211545399 213497375 215374275 217860825 222313455 223032027 227262375 230577165 230629225 235342815 238431375 243304425 244090845 246908935 249079563 251377875 251955249 256515525 260315755 261320787 264658875 270222225 274496625 275510151 275745015 279188875 280106775 284256505 284894925 290066127 290717595 299946725 301523985 311096175 311794875 317454345 318167325 322880915 323942463 327988275 328267875 329479941 334691685 341727183 346092375 347428575 352575665 358957125 359781591 363101375 366293475 370522425 371720045 379317243 384295275 392149485 392238025 397959107 405507375 406818075 415132605 419925415 423617067 427525875 435534645 443417625 444436083 450370375 459183585 459575025 466844625 468568359 474824875 476385975 483443545 484529325 486400005 493605931 502539975 511661709 512810865 518493625 520408063 529090575 530278875 539904105 546647125 549133235 557819475 559973115 569545305 579047625 581185647 590378895 590882175 599635985 610489125 611891319 617537375 622966275 632195405 634636197 640492125 653582475 666940365 669096081 676820963 678030125 691887675 706028445 715294125 725891075 732272535 740726805 754133625 755865747 765305975 765958375 780947265 783962361 793976625 807548875 810666675 823489875 826530453 827235045 837566625 839490379 852769515 854684775 870198381 872152785 881817625 885073567 899840175 929699125 933288525 935384625 949242175 952363035 966472117 968642745 983964825 984803625 988439823 1004075055 1018950241 1019818865 1025181549 1038277125 1057726995 1076871375 1079344773 1089304125 1111567275 1115160135 1137951729 1152885825 1153146125 1176714075 1193877321 1216522125 1220454225 1234544675 1245397815 1259776245 1263848153 1282577625 1301578775 1306603935 1333308249 1351111125 1377550755 1378725075 1400533875 1405705077 1421282525 1424474625 1427746411 1450330635 1453587975 1480817793 1499733625 1507619925 1534985127 1555480875 1561224189 1587271725 1590836625 1614404575 1619712315 1639941375 1643708053 1647399705 1673458425 1708635915 1737142875 1743556941 1762878325 1798907955 1831467375 1835673957 1852612125 1858600225 1896586215 1903908591 1921476375 1960747425 1961190125 1989795535 2007288243 2030462889 2034090375 2075663025 2099627075 2118085335 2149464377 2177673225 2222180415 2267597241 2295917925 2297875125 2342841795 2381929875 2417217725 2422646625 2432000025 2468029655 2512699875 2518471137 2558308545 2564054325 2602040315 2610595143 2645452875 2655220701 2699520525 2745666175 2789097375 2799865575 2847726525 2899416351 2905928235 2951894475 2954410875 2965319469 2998179925 3056850723 3059456595 3114831375 3160977025 3173180985 3238034319 3267912375 3334701825 3345480405 3384104815 3413855187 3459438375 3530142225 3581631963 3629455375 3661362675 3703634025 3779328735 3791544459 3826529875 3904736325 3919811805 4053333375 4132652265 4136175225 4197451895 4263847575 4273423875 4283239233 4350991905 4360763925 4425367835 4442453379 4499200875 4666442625 4683672567 4746210875 4761815175 4832360585 4843213725 4919824125 4931124159 4942199115 5020375275 5094751205 5099094325 5125907745 5288634975 5396723865 5507021871 5557836375 5575800675 5689758645 5764429125 5883570375 5969386605 6091388667 6102271125 6172723375 6226989075 6298881225 6319240765 6448393131 6507893875 6533019675 6666541245 6765304819 6887753775 6893625375 7028525385 7106412625 7132651687 7138732055 7251653175 7267939875 7404088965 7538099625 7555413411 7674925635 7806120945 7936358625 7965662103 8072022875 8098561575 8218540265 8236998525 8367292125 8543179575 8698249053 8717784705 8814391625 8846937071 8994539775 9170552169 9178369785 9293001125 9482931075 9519542955 9803737125 9948977675 10036441215 10152314445 10378315125 10498135375 10590426675 10744895889 10747321885 10888366125 11110902075 11337986205 11374633377 11479589625 11505956371 11714208975 12086088625 12160000125 12340148275 12592355685 12791542725 12820271625 12849717699 13010201575 13052975715 13246353133 13276103505 13327360137 13497602625 13728330875 13999327875 14051017701 14238632625 14497081755 14529641175 14759472375 14793372477 14826597345 14990899625 15046250639 15284253615 15297282975 15804885125 15865904925 16190171595 16430025989 16673509125 16727402025 16920524075 17069275935 17322154097 17650711125 17908159815 18274166001 18306813375 18518170125 18896643675 18957722295 19345179393 19523681625 19599059025 20295914457 20663261325 20680876125 20987259475 21319237875 21397955061 21416196165 21754959525 21803819625 22126839175 22212266895 22666240233 23418362835 23809075875 23896986309 24161802925 24216068625 24655620795 24710995575 25101876375 25473756025 25495471625 25629538725 26094747159 26443174875 26540811213 26983619325 27511656507 27535109355 27879003375 27943036901 28448793225 29846933025 30456943335 31134945375 31494406125 31596203825 32241965655 32665098375 33332706225 33826524095 34123900131 34438768875 34517869113 35142626925 35663258435 35693660275 36258265875 37020444825 37777067055 38374628175 38549153097 39030604725 39739059399 39828310515 40492807875 41092701325 41184992625 42715897875 43491245265 43588923525 44234685355 44380117431 44972698875 45138751917 45852760845 45891848925 47414655375 47597714775 49290077967 49744888375 50182206075 50761572225 51966462291 52952133375 53724479445 53736609425 55554510375 56689931025 56873166885 57529781855 58035538179 58571044875 60887743371 61700741375 62961778425 63957713625 64193865183 64248588495 65051007875 65264878575 66231765665 66380517525 66636800685 70255088505 72485408775 72648205875 73966862385 74132986725 75231253195 76421268075 76486414875 79329524625 79622433639 80950857975 82150129945 83637010125 83829110703 84602620375 85346379675 86610770485 89540799075 91370830005 92724471931 94483218375 94788611475 96725896965 97995295125 101479572285 103316306625 103553607339 104936297375 106989775305 107080980825 108774797625 110634195875 111061334475 113331201165 115010181923 117091814175 119217178197 119484931545 120809014625 121255078679 123278103975 123554977875 127368780125 128147693625 130473735795 132704056065 134918096625 135416255751 137558282535 137675546775 139715184505 142243966125 147870233901 149234665125 152284716675 155899386873 157981019125 161209828275 166663531125 169132620475 170619500655 172589345565 175713134625 178316292175 178468301375 182663230113 185102224125 188885335275 191873140875 192581595549 192745765485 195153023625 195601258307 198695296995 199141552575 205463506625 217456226325 217944617625 221173426775 221900587155 225188003261 225693759585 229263804225 229459244625 237988573875 238867300917 246450389835 250911030375 251487332109 253807861125 259832311455 268622397225 268683047125 278173415793 283449655125 284365834425 287648909275 290177690895 294476619649 304438716855 310660822017 314808892125 320969325915 321242942475 326324392875 331158828325 331902587625 333184003425 345030545769 351275442525 357651534591 362427043875 363765236037 369834311925 370664933625 376156265975 382106340375 398112168195 404754289875 406248767253 410750649725 419145553515 426731898375 433053852425 443610701703 447703995375 456854150025 463622359655 467698160619 473943057375 483629484825 507397861425 517768036695 534948876525 535404904125 555306672375 566656005825 575050909615 585459070875 586803774921 596085890985 597424657725 606275393395 616390519875 652368678975 663520280325 675564009783 677081278755 687791412675 688377733875 698575922525 739351169505 754461996327 761423583375 779496934365 806049141375 834520247379 845663102375 853097503275 862946727825 883429858947 891581460875 913316150565 944426676375 962907977745 963728827425 978006291535 993476484975 995707762875 1035091637307 1087281131625 1091295708111 1105867133875 1109502935775 1125940016305 1128468797925 1146319021125 1194336504585 1232251949175 1257436660545 1299161557275 1343111986125 1390867078965 1421829172125 1438244546375 1450888454475 1472383098245 1522193584275 1553304110085 1576316022827 1604846629575 1606214712375 1655794141625 1665920017125 1725152728845 1756377212625 1760411324763 1788257672955 1818826180185 1849171559625 1880781329875 1990560840975 2026692029349 2031243836265 2053753248625 2061336337543 2095727767575 2165269262125 2218053508515 2284270750125 2318111798275 2338490803095 2418147424125 2503560742137 2536989307125 2588840183475 2650289576841 2674744382625 2833280029125 2875254548075 2934018874605 2980429454925 2987123288625 3031376966975 3105274911921 3261843394875 3273887124333 3317601401625 3377820048915 3385406393775 3438957063375 3492879612625 3696755847525 3772309981635 3828196055437 3897484671825 4172601236895 4265487516375 4314733639125 4417149294735 4566580752825 4728948068481 4814539888725 4818644137125 4890031457675 4967382424875 5175458186535 5281233974289 5456478540555 5547514678875 5629700081525 5642343989625 5971682522925 6080076088047 6161259745875 6184009012629 6287183302725 6495807786375 6954335394825 7254442272375 7361915491225 7610967921375 7766520550425 7881580114135 7950868730523 8024233147875 8625763644225 8802056623815 8941288364775 9094130900925 9952804204875 10133460146745 10156219181325 10306681687715 10478638837875 11090267542575 11484588166311 11590558991375 11692454015475 12517803710685 12944200917375 13251447884205 14186844205443 14376272740375 14670094373025 14902147274625 15156884834875 15526374559605 16369435621665 16889100244575 16927031968875 18483779237625 18552027037887 18861549908175 19140980277185 19487423359125 20863006184475 22085746473675 22832903764125 23644740342405 24072699443625 24450157288375 25877290932675 26406169871445 26797372388059 27282392702775 28148500407625 29858412614625 30400380440235 30920045063145 31435916513625 34453764498933 34771676974125 36809577456125 38832602752125 39407900570675 39754343652615 42560532616329 43128818221125 44010283119075 44706441823875 45470654504625 50667300733725 50781095906625 51533408438575 55451337712875 55656081113661 57422940831555 58462270077375 62589018553425 66257239421025 70934221027215 73350471865125 77631872798025 80392117164177 81847178108325 84445501222875 92760135189435 94307749540875 95704901385925 103361293496799 104315030922375 110428732368375 118223701712025 129386454663375 132030849357225 133986861940295 136411963513875 152001902201175 154600225315725 172268822494665 197039502853375 198771718263075 212802663081645 220051415595375 241176351492531 253336503668625 257667042192875 278280405568305 287114704157775 312945092767125 331286197105125 354671105136075 388159363990125 401960585820885 409235890541625 463800675947175 478524506929625 516806467483995 591118508560125 660154246786125 669934309701475 723529054477593 760009511005875 773001126578625 861344112473325 993858591315375 1064013315408225 1205881757462655 1391402027841525 1435573520788875 1773355525680375 2009802929104425 2319003379735875 2584032337419975 3349671548507375 3617645272387965 4306720562366625 5320066577041125 6029408787313275 6957010139207625 10049014645522125 12920161687099875 18088226361939825 30147043936566375 90441131809699125
- Sum of all divisors σ(n): 221178727889333760
- Sum of proper divisors (its aliquot sum) s(n): 130737596079634635
- 90441131809699125 is an abundant number, because the sum of its proper divisors (130737596079634635) is greater than itself. Its abundance is 40296464269935510
Bases of 90441131809699125
- Binary: 1010000010100111110111010111011101001100111110101001101012
- Hexadecimal: 0x1414FBAEE99F535
- Base-36: OQIPEDIO4Z9
Squares and roots of 90441131809699125
- 90441131809699125 squared (904411318096991252) is 8179598323019370925033423025765625
- 90441131809699125 cubed (904411318096991253) is 739772130082588846368790987301688485639154017578125
-
The
square root of 90441131809699125 is 300734320.9706852281 -
The
cube root of 90441131809699125 is 448871.4631988935
Scales and comparisons
How big is 90441131809699125?- 90,441,131,809,699,125 seconds is equal to 2,875,748,238 years, 39 weeks, 3 days, 13 hours, 18 minutes, 45 seconds.
-
To count from 1 to 90,441,131,809,699,125 would take you about eight billion, six hundred twenty-seven million, two hundred forty-four thousand, seven hundred sixteen 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 90441131809699125 cubic inches would be around 37406 feet tall.
Recreational maths with 90441131809699125
- 90441131809699125 backwards is 52199690813114409
- The number of decimal digits it has is: 17
- The sum of 90441131809699125's digits is 72
- More coming soon!
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"Number 90441131809699125 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 90441131809699125 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/90441131809699125/
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The information we have on file for 90441131809699125 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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