990144113147904
990,144,113,147,904 is an even composite number composed of six prime numbers multiplied together.
990144113147904 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred twenty-four divisors.
Prime factorization of 990144113147904:
218 × 3 × 11 × 13 × 192 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 19 × 19 × 29 × 29 × 29)See below for interesting mathematical facts about the number 990144113147904 from the Numbermatics database.
Names of 990144113147904
- Cardinal: 990144113147904 can be written as Nine hundred ninety trillion, one hundred forty-four billion, one hundred thirteen million, one hundred forty-seven thousand, nine hundred four.
Scientific notation
- Scientific notation: 9.90144113147904 × 1014
Factors of 990144113147904
Divisors of 990144113147904
- Number of divisors d(n): 1824
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 19 22 24 26 29 32 33 38 39 44 48 52 57 58 64 66 76 78 87 88 96 104 114 116 128 132 143 152 156 174 176 192 208 209 228 232 247 256 264 286 304 312 319 348 352 361 377 384 416 418 429 456 464 494 512 528 551 572 608 624 627 638 696 704 722 741 754 768 832 836 841 858 912 928 957 988 1024 1056 1083 1102 1131 1144 1216 1248 1254 1276 1392 1408 1444 1482 1508 1536 1653 1664 1672 1682 1716 1824 1856 1914 1976 2048 2112 2166 2204 2262 2288 2432 2496 2508 2523 2552 2717 2784 2816 2888 2964 3016 3072 3306 3328 3344 3364 3432 3648 3712 3828 3952 3971 4096 4147 4224 4332 4408 4524 4576 4693 4864 4992 5016 5046 5104 5434 5568 5632 5776 5928 6032 6061 6144 6612 6656 6688 6728 6864 7163 7296 7424 7656 7904 7942 8151 8192 8294 8448 8664 8816 9048 9152 9251 9386 9728 9984 10032 10092 10208 10469 10868 10933 11136 11264 11552 11856 11913 12064 12122 12288 12441 13224 13312 13376 13456 13728 14079 14326 14592 14848 15312 15808 15884 15979 16302 16384 16588 16896 17328 17632 18096 18183 18304 18502 18772 19456 19968 20064 20184 20416 20938 21489 21736 21866 22272 22528 23104 23712 23826 24128 24244 24389 24576 24882 26448 26624 26752 26912 27456 27753 28158 28652 29184 29696 30624 31407 31616 31768 31958 32604 32768 32799 33176 33792 34656 35264 36192 36366 36608 37004 37544 38912 39936 40128 40368 40832 41876 42978 43472 43732 44544 45056 46208 47424 47652 47937 48256 48488 48778 49152 49764 51623 52896 53248 53504 53824 54912 55506 56316 57304 58368 59392 61248 62814 63232 63536 63916 65208 65536 65598 66352 67584 69312 70528 72384 72732 73167 73216 74008 75088 77824 78793 79872 80256 80736 81664 83752 85956 86944 87464 89088 90112 92416 94848 95304 95874 96512 96976 97556 98304 99528 103246 105792 106496 107008 107648 109824 111012 112632 114608 115159 116736 118784 120263 122496 125628 126464 127072 127832 130416 131072 131196 132704 135168 136097 138624 141056 144768 145464 146334 146432 148016 150176 154869 155648 157586 159744 160512 161472 163328 167504 171912 173888 174928 175769 178176 180224 184832 189696 190608 191748 193024 193952 195112 196608 199056 206492 207727 211584 212992 214016 215296 219648 222024 225264 229216 230318 233472 236379 237568 240526 244992 251256 252928 254144 255664 260832 262144 262392 265408 268279 270336 272194 277248 282112 289536 290928 292668 292864 296032 300352 303601 309738 311296 315172 317057 319488 321024 322944 326656 335008 343824 345477 347776 349856 351538 356352 360448 360789 369664 379392 381216 383496 386048 387904 390224 393216 398112 408291 412984 415454 423168 425984 428032 430592 439296 444048 450528 458432 460636 463391 466944 472758 475136 481052 489984 502512 505856 508288 511328 521664 524784 527307 530816 536558 540672 544388 554496 564224 579072 581856 585336 585728 592064 600704 607202 619476 622592 623181 630344 634114 638976 642048 645888 653312 670016 687648 690954 695552 699712 703076 712704 720896 721578 739328 758784 762432 766992 772096 775808 780448 786432 796224 804837 816582 825968 830908 846336 851968 856064 861184 878592 888096 901056 910803 916864 921272 926782 933888 945516 950272 951171 962104 979968 1005024 1011712 1016576 1022656 1043328 1049568 1054614 1061632 1073116 1081344 1088776 1108992 1128448 1158144 1163712 1170672 1171456 1184128 1201408 1214404 1238952 1245184 1246362 1260688 1268228 1277952 1284096 1291776 1306624 1340032 1375296 1381908 1390173 1391104 1399424 1406152 1425408 1441792 1443156 1478656 1497067 1517568 1524864 1533984 1544192 1551616 1560896 1592448 1609674 1633164 1651936 1661816 1692672 1703936 1712128 1722368 1757184 1776192 1802112 1821606 1833728 1842544 1853564 1867776 1891032 1900544 1902342 1924208 1959936 2010048 2023424 2033152 2045312 2086656 2099136 2109228 2123264 2146232 2162688 2177552 2217984 2256896 2284997 2316288 2327424 2341344 2342912 2368256 2402816 2428808 2477904 2490368 2492724 2521376 2536456 2555904 2568192 2583552 2613248 2680064 2750592 2763816 2780346 2782208 2798848 2812304 2850816 2883584 2886312 2957312 2994134 3035136 3049728 3067968 3088384 3103232 3121792 3184896 3219348 3266328 3303872 3323632 3339611 3385344 3407872 3424256 3444736 3487627 3514368 3552384 3604224 3643212 3667456 3685088 3707128 3735552 3782064 3801088 3804684 3848416 3919872 3946813 4020096 4046848 4066304 4090624 4173312 4198272 4218456 4246528 4292464 4325376 4355104 4435968 4491201 4513792 4569994 4632576 4654848 4682688 4685824 4736512 4805632 4857616 4955808 4980736 4985448 5042752 5072912 5097301 5111808 5136384 5167104 5226496 5360128 5501184 5527632 5560692 5564416 5597696 5624608 5701632 5772624 5914624 5988268 6024083 6070272 6099456 6135936 6176768 6206464 6243584 6369792 6438696 6532656 6607744 6647264 6679222 6770688 6848512 6854991 6889472 6975254 7028736 7104768 7208448 7286424 7334912 7370176 7414256 7471104 7564128 7602176 7609368 7696832 7839744 7893626 8040192 8093696 8132608 8181248 8346624 8396544 8436912 8493056 8584928 8650752 8710208 8804429 8871936 8982402 9027584 9139988 9265152 9309696 9365376 9371648 9473024 9611264 9715232 9911616 9970896 10018833 10085504 10145824 10194602 10223616 10272768 10334208 10452992 10462881 10720256 11002368 11055264 11121384 11128832 11195392 11249216 11403264 11545248 11829248 11840439 11976536 12048166 12140544 12198912 12271872 12353536 12412928 12487168 12739584 12877392 13065312 13215488 13294528 13358444 13541376 13697024 13709982 13778944 13950508 14057472 14209536 14416896 14572848 14669824 14740352 14828512 14942208 15128256 15218736 15291903 15393664 15679488 15787252 16080384 16187392 16265216 16362496 16693248 16793088 16873824 16986112 17169856 17420416 17608858 17743872 17964804 18055168 18072249 18279976 18530304 18619392 18730752 18743296 18946048 19222528 19430464 19823232 19941792 20037666 20171008 20291648 20389204 20545536 20668416 20905984 20925762 21440512 22004736 22110528 22242768 22257664 22390784 22498432 22806528 23090496 23658496 23680878 23953072 24096332 24281088 24397824 24543744 24707072 24825856 24974336 25479168 25754784 26130624 26413287 26430976 26589056 26716888 27082752 27394048 27419964 27557888 27901016 28114944 28419072 28833792 29145696 29339648 29480704 29657024 30256512 30437472 30583806 30787328 31358976 31574504 32160768 32374784 32530432 32724992 33386496 33586176 33747648 33972224 34339712 34840832 35217716 35487744 35929608 36110336 36144498 36559952 37060608 37238784 37461504 37486592 37892096 38445056 38860928 39646464 39883584 40075332 40342016 40583296 40778408 41091072 41336832 41811968 41851524 42881024 43414943 44009472 44221056 44485536 44515328 44781568 44996864 46180992 47316992 47361756 47906144 48192664 48562176 48795648 49087488 49414144 49651712 49948672 50958336 51509568 52261248 52826574 52861952 53178112 53433776 54165504 54788096 54839928 55115776 55802032 56229888 56838144 57667584 58291392 58679296 58961408 59314048 60513024 60874944 61167612 61574656 62717952 63149008 64321536 64749568 65060864 65449984 66264913 66772992 67172352 67495296 67944448 68679424 69681664 70435432 70975488 71859216 72220672 72288996 73119904 74121216 74477568 74923008 75784192 76890112 77721856 79292928 79767168 80150664 80684032 81166592 81556816 82182144 82673664 83623936 83703048 85762048 86829886 88018944 88442112 88971072 89030656 89563136 89993728 92361984 94633984 94723512 95812288 96385328 96848719 97124352 97591296 98174976 98828288 99303424 99897344 101916672 103019136 104522496 105653148 105723904 106356224 106867552 108331008 109679856 110231552 111604064 112459776 113676288 114457577 115335168 116582784 117358592 117922816 118628096 121026048 121749888 122335224 123149312 125435904 126298016 128643072 130121728 130244829 130899968 132529826 133545984 134344704 134990592 135888896 137358848 139363328 140870864 141950976 143718432 144441344 144577992 146239808 148242432 148955136 149846016 151568384 153780224 155443712 158585856 159534336 160301328 161368064 162333184 163113632 164364288 165347328 167406096 171524096 173659772 176037888 176884224 177942144 178061312 179126272 179987456 184723968 189447024 191624576 192770656 193697438 194248704 195182592 196349952 198606848 198794739 199794688 203833344 206038272 209044992 211306296 211447808 212712448 213735104 216662016 219359712 220463104 223208128 227352576 228915154 230670336 233165568 234717184 235845632 237256192 242052096 243499776 244670448 246298624 250871808 252596032 257286144 260243456 260489658 261799936 265059652 267091968 268689408 269981184 271777792 274717696 278726656 281741728 283901952 287436864 289155984 290546157 292479616 296484864 297910272 299692032 303136768 307560448 310887424 317171712 319068672 320602656 322736128 324666368 326227264 330694656 334812192 343048192 343372731 347319544 352075776 353768448 355884288 356122624 358252544 359974912 369447936 378894048 383249152 385541312 387394876 390365184 392699904 397213696 397589478 399589376 407666688 412076544 418089984 422612592 422895616 425424896 427470208 433324032 438719424 446416256 454705152 457830308 461340672 466331136 469434368 471691264 474512384 484104192 486999552 489340896 492597248 505192064 514572288 520486912 520979316 523599872 530119304 534183936 537378816 539962368 543555584 549435392 557453312 563483456 574873728 578311968 581092314 584959232 595820544 599384064 606273536 615120896 621774848 634343424 638137344 641205312 645472256 649332736 652454528 661389312 669624384 686096384 686745462 694639088 704151552 707536896 711768576 712245248 716505088 719949824 738895872 757788096 766498304 771082624 774789752 780730368 785399808 794427392 795178956 799178752 815333376 824153088 836179968 845225184 845791232 850849792 854940416 877438848 892832512 909410304 915660616 922681344 932662272 938868736 943382528 949024768 968208384 973999104 978681792 985194496 1010384128 1029144576 1040973824 1041958632 1047199744 1060238608 1068367872 1074757632 1079924736 1087111168 1098870784 1114906624 1126966912 1149747456 1156623936 1162184628 1169918464 1191641088 1198768128 1212547072 1230241792 1243549696 1259033347 1268686848 1276274688 1282410624 1290944512 1298665472 1304909056 1339248768 1372192768 1373490924 1389278176 1408303104 1415073792 1423537152 1433010176 1439899648 1477791744 1515576192 1532996608 1542165248 1549579504 1561460736 1570799616 1588854784 1590357912 1598357504 1630666752 1648306176 1672359936 1690450368 1691582464 1701699584 1709880832 1754877696 1785665024 1818820608 1831321232 1845362688 1865324544 1877737472 1886765056 1898049536 1936416768 1947998208 1957363584 1970388992 2020768256 2058289152 2083917264 2094399488 2120477216 2136735744 2149515264 2159849472 2197741568 2229813248 2253933824 2299494912 2313247872 2324369256 2339836928 2383282176 2397536256 2425094144 2487099392 2518066694 2537373696 2552549376 2564821248 2581889024 2597330944 2609818112 2678497536 2744385536 2746981848 2778556352 2816606208 2830147584 2847074304 2866020352 2879799296 2955583488 3031152384 3065993216 3084330496 3099159008 3122921472 3141599232 3180715824 3196715008 3261333504 3296612352 3344719872 3380900736 3383164928 3403399168 3419761664 3509755392 3571330048 3637641216 3662642464 3690725376 3730649088 3773530112 3777100041 3796099072 3872833536 3895996416 3914727168 3940777984 4041536512 4116578304 4167834528 4188798976 4240954432 4299030528 4319698944 4395483136 4459626496 4507867648 4598989824 4626495744 4648738512 4679673856 4766564352 4795072512 4974198784 5036133388 5074747392 5105098752 5129642496 5163778048 5194661888 5219636224 5356995072 5493963696 5557112704 5633212416 5660295168 5694148608 5759598592 5911166976 6062304768 6131986432 6168660992 6198318016 6283198464 6361431648 6393430016 6593224704 6689439744 6761801472 6766329856 6806798336 6839523328 7019510784 7142660096 7275282432 7325284928 7461298176 7547060224 7554200082 7592198144 7745667072 7791992832 7829454336 7881555968 8083073024 8233156608 8335669056 8481908864 8598061056 8639397888 8790966272 8919252992 9015735296 9197979648 9252991488 9297477024 9359347712 9590145024 9948397568 10072266776 10149494784 10210197504 10259284992 10327556096 10389323776 10439272448 10713990144 10987927392 11114225408 11320590336 11388297216 11519197184 11822333952 12124609536 12263972864 12337321984 12396636032 12566396928 12722863296 13186449408 13378879488 13523602944 13532659712 13613596672 13679046656 14039021568 14285320192 14650569856 14922596352 15094120448 15108400164 15184396288 15491334144 15583985664 15658908672 15763111936 16166146048 16671338112 16963817728 17278795776 17581932544 17838505984 18031470592 18395959296 18505982976 18594954048 18718695424 19180290048 19896795136 20144533552 20298989568 20420395008 20518569984 20655112192 20778647552 20878544896 21427980288 21975854784 22228450816 22641180672 22776594432 23038394368 23644667904 24249219072 24527945728 24674643968 24793272064 25445726592 26372898816 26757758976 27047205888 27227193344 27358093312 28078043136 28570640384 29301139712 29845192704 30188240896 30216800328 30368792576 30982668288 31167971328 31317817344 31526223872 32332292096 33342676224 33927635456 34557591552 35163865088 35677011968 36062941184 36791918592 37011965952 37189908096 37437390848 39793590272 40289067104 40597979136 40840790016 41037139968 41557295104 41757089792 42855960576 43951709568 44456901632 45282361344 45553188864 46076788736 47289335808 48498438144 49055891456 49349287936 49586544128 50891453184 52745797632 53515517952 54094411776 54454386688 54716186624 56156086272 57141280768 58602279424 59690385408 60433600656 60737585152 61965336576 62335942656 62635634688 64664584192 66685352448 67855270912 69115183104 70327730176 72125882368 73583837184 74023931904 74379816192 74874781696 79587180544 80578134208 81681580032 82074279936 83114590208 83514179584 85711921152 87903419136 88913803264 90564722688 91106377728 94578671616 96996876288 98111782912 98698575872 99173088256 101782906368 105491595264 107031035904 108188823552 109432373248 112312172544 114282561536 117204558848 119380770816 120867201312 121475170304 124671885312 125271269376 129329168384 133370704896 135710541824 138230366208 144251764736 147167674368 148047863808 148759632384 149749563392 161156268416 163363160064 164148559872 167028359168 171423842304 175806838272 177827606528 182212755456 193993752576 196223565824 197397151744 198346176512 203565812736 210983190528 216377647104 218864746496 224624345088 228565123072 234409117696 238761541632 241734402624 249343770624 250542538752 258658336768 266741409792 271421083648 288503529472 294335348736 296095727616 297519264768 299499126784 322312536832 328297119744 334056718336 342847684608 351613676544 355655213056 364425510912 387987505152 392447131648 394794303488 396692353024 407131625472 432755294208 437729492992 449248690176 457130246144 468818235392 483468805248 501085077504 517316673536 533482819584 542842167296 577007058944 588670697472 592191455232 595038529536 598998253568 644625073664 656594239488 668113436672 685695369216 703227353088 711310426112 775975010304 789588606976 793384706048 814263250944 865510588416 875458985984 898497380352 914260492288 937636470784 966937610496 1002170155008 1034633347072 1066965639168 1085684334592 1154014117888 1177341394944 1184382910464 1190077059072 1289250147328 1313188478976 1336226873344 1371390738432 1406454706176 1422620852224 1551950020608 1579177213952 1586769412096 1628526501888 1731021176832 1796994760704 1875272941568 1933875220992 2004340310016 2133931278336 2171368669184 2308028235776 2368765820928 2380154118144 2578500294656 2626376957952 2742781476864 2812909412352 2845241704448 3103900041216 3173538824192 3257053003776 3462042353664 3750545883136 3867750441984 4008680620032 4267862556672 4342737338368 4737531641856 4760308236288 5157000589312 5625818824704 5690483408896 6347077648384 6514106007552 6924084707328 7501091766272 7735500883968 8535725113344 8685474676736 9520616472576 10314001178624 11251637649408 11380966817792 12694155296768 13028212015104 15002183532544 15471001767936 17071450226688 17370949353472 19041232945152 20628002357248 22503275298816 25388310593536 26056424030208 30004367065088 30942003535872 34142900453376 38082465890304 41256004714496 45006550597632 52112848060416 61884007071744 76164931780608 82512009428992 90013101195264 123768014143488 165024018857984 247536028286976 330048037715968 495072056573952 990144113147904
- Sum of all divisors σ(n): 3390757134387840
- Sum of proper divisors (its aliquot sum) s(n): 2400613021239936
- 990144113147904 is an abundant number, because the sum of its proper divisors (2400613021239936) is greater than itself. Its abundance is 1410468908092032
Bases of 990144113147904
- Binary: 111000010010000111111001000010010000000000000000002
- Hexadecimal: 0x38487E4240000
- Base-36: 9QZ5XC7DHC
Squares and roots of 990144113147904
- 990144113147904 squared (9901441131479042) is 980385364801449318800179593216
- 990144113147904 cubed (9901441131479043) is 970722797574515373873451607613378899963019264
-
The
square root of 990144113147904 is 31466555.4700209283 -
The
cube root of 990144113147904 is 99670.3851726295
Scales and comparisons
How big is 990144113147904?- 990,144,113,147,904 seconds is equal to 31,483,520 years, 4 weeks, 1 day, 13 hours, 58 minutes, 24 seconds.
-
To count from 1 to 990,144,113,147,904 would take you about seventy-eight million, seven hundred eight thousand, eight hundred 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 990144113147904 cubic inches would be around 8305.9 feet tall.
Recreational maths with 990144113147904
- 990144113147904 backwards is 409741311441099
- 990144113147904 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 990144113147904's digits is 57
- 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 990144113147904 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 990144113147904 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/990144113147904/
Chicago style:
Numbermatics. 2024. "Number 990144113147904 - Facts about the integer". https://numbermatics.com/n/990144113147904/
The information we have on file for 990144113147904 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 990144113147904, math, Factors of 990144113147904, curriculum, school, college, exams, university, Prime factorization of 990144113147904, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety trillion, one hundred forty-four billion, one hundred thirteen million, one hundred forty-seven thousand, nine hundred four.