997813988887625728
997,813,988,887,625,728 is an even composite number composed of five prime numbers multiplied together.
997813988887625728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 997813988887625728:
220 × 7 × 133 × 314 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 13 × 13 × 31 × 31 × 31 × 31 × 67)See below for interesting mathematical facts about the number 997813988887625728 from the Numbermatics database.
Names of 997813988887625728
- Cardinal: 997813988887625728 can be written as Nine hundred ninety-seven quadrillion, eight hundred thirteen trillion, nine hundred eighty-eight billion, eight hundred eighty-seven million, six hundred twenty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 9.97813988887625728 × 1017
Factors of 997813988887625728
Divisors of 997813988887625728
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 67 91 104 112 124 128 134 169 182 208 217 224 248 256 268 338 364 403 416 434 448 469 496 512 536 676 728 806 832 868 871 896 938 961 992 1024 1072 1183 1352 1456 1612 1664 1736 1742 1792 1876 1922 1984 2048 2077 2144 2197 2366 2704 2821 2912 3224 3328 3472 3484 3584 3752 3844 3968 4096 4154 4288 4394 4732 5239 5408 5642 5824 6097 6448 6656 6727 6944 6968 7168 7504 7688 7936 8192 8308 8576 8788 9464 10478 10816 11284 11323 11648 12194 12493 12896 13312 13454 13888 13936 14336 14539 15008 15376 15379 15872 16384 16616 17152 17576 18928 20956 21632 22568 22646 23296 24388 24986 25792 26624 26908 27001 27776 27872 28672 29078 29791 30016 30752 30758 31744 32768 33232 34304 35152 36673 37856 41912 43264 45136 45292 46592 48776 49972 51584 53248 53816 54002 55552 55744 57344 58156 59582 60032 61504 61516 63488 64387 65536 66464 68107 68608 70304 73346 75712 79261 83824 86528 87451 90272 90584 93184 97552 99944 103168 106496 107632 108004 111104 111488 114688 116312 119164 120064 123008 123032 126976 128774 131072 132928 136214 137216 140608 146692 147199 151424 158522 162409 167648 173056 174902 180544 181168 186368 189007 195104 199888 206336 208537 212992 215264 216008 222208 222976 229376 232624 238328 240128 246016 246064 253952 257548 262144 265856 272428 274432 281216 293384 294398 302848 317044 324818 335296 346112 349804 351013 361088 362336 372736 378014 387283 390208 399776 412672 417074 425984 430528 432016 444416 445952 450709 458752 465248 476656 476749 480256 492032 492128 507904 515096 524288 531712 544856 548864 562432 586768 588796 605696 634088 649636 670592 692224 699608 702026 722176 724672 745472 756028 774566 780416 799552 825344 834148 837031 851968 861056 864032 888832 891904 901418 917504 923521 930496 953312 953498 960512 984064 984256 1015808 1030192 1030393 1048576 1063424 1089712 1097728 1124864 1136863 1173536 1177592 1211392 1268176 1299272 1341184 1384448 1399216 1404052 1444352 1449344 1490944 1512056 1549132 1560832 1599104 1650688 1668296 1674062 1703936 1722112 1728064 1777664 1783808 1802836 1835008 1847042 1860992 1906624 1906996 1921024 1968128 1968512 1995997 2031616 2060384 2060786 2111317 2126848 2179424 2195456 2249728 2273726 2347072 2355184 2422784 2457091 2536352 2598544 2682368 2710981 2768896 2798432 2808104 2888704 2898688 2981888 3024112 3098264 3121664 3198208 3301376 3336592 3348124 3407872 3444224 3456128 3555328 3567616 3605672 3670016 3694084 3721984 3813248 3813992 3842048 3936256 3937024 3991994 4063232 4120768 4121572 4222634 4253696 4358848 4390912 4499456 4547452 4563169 4694144 4710368 4845568 4914182 5034679 5072704 5197088 5364736 5421962 5537792 5596864 5616208 5777408 5797376 5859217 5963776 6048224 6196528 6243328 6396416 6464647 6602752 6673184 6696248 6815744 6888448 6912256 7110656 7135232 7211344 7340032 7388168 7443968 7626496 7627984 7684096 7872512 7874048 7983988 8126464 8241536 8243144 8445268 8507392 8717696 8781824 8998912 9094904 9126338 9388288 9420736 9691136 9828364 10069358 10145408 10394176 10729472 10843924 10881403 11075584 11193728 11232416 11554816 11594752 11718434 11927552 12005773 12096448 12393056 12486656 12792832 12929294 13205504 13346368 13392496 13631488 13776896 13824512 13971979 14221312 14270464 14422688 14776336 14779219 14887936 15252992 15255968 15368192 15745024 15748096 15967976 16252928 16483072 16486288 16890536 17014784 17435392 17563648 17997824 18189808 18252676 18776576 18841472 19382272 19656728 20138716 20290816 20788352 21458944 21687848 21762806 22151168 22387456 22464832 23109632 23189504 23436868 23855104 24011546 24192896 24786112 24973312 25585664 25858588 25947961 26411008 26692736 26784992 27553792 27649024 27943958 28442624 28540928 28845376 29552672 29558438 29775872 30505984 30511936 30736384 31490048 31496192 31935952 31942183 32505856 32966144 32972576 33781072 34029568 34870784 35127296 35242753 35995648 36379616 36505352 37553152 37682944 38764544 39313456 40277432 40581632 41576704 42917888 43375696 43525612 44302336 44774912 44929664 46219264 46379008 46873736 47710208 48023092 48385792 49572224 49946624 51171328 51717176 51895922 52822016 53385472 53569984 55107584 55298048 55887916 56885248 57081856 57690752 59105344 59116876 59551744 61011968 61023872 61472768 61875907 62980096 62992384 63871904 63884366 65450827 65932288 65945152 67562144 68059136 69741568 70254592 70485506 71991296 72759232 73010704 75106304 75365888 76169821 77529088 78626912 80554864 81163264 83153408 84040411 85835776 86751392 87051224 88604672 89549824 89859328 92438528 92758016 93747472 95420416 96046184 96771584 99144448 99893248 102342656 103434352 103791844 105644032 106770944 107139968 110215168 110596096 111775832 113770496 114163712 115381504 118210688 118233752 119103488 122023936 122047744 122945536 123751814 125960192 125984768 127743808 127768732 130901654 131864576 131890304 135124288 136118272 139483136 140971012 141458239 143982592 145518464 146021408 150212608 150731776 152339642 155058176 156075049 157253824 161109728 162326528 166306816 168080822 171671552 173502784 174102448 177209344 179099648 179718656 181635727 184877056 185516032 187494944 192092368 193543168 198288896 199786496 204685312 206868704 207583688 211288064 213541888 214279936 220430336 221192192 223551664 227540992 228327424 230763008 236421376 236467504 238206976 244047872 244095488 245891072 247503628 251920384 251969536 255487616 255537464 261803308 263729152 263780608 270248576 272236544 278966272 281942024 282916478 287965184 291036928 292042816 300425216 301463552 304679284 310116352 312150098 314507648 322219456 324653056 332613632 336161644 337323493 343343104 347005568 348204896 358199296 359437312 363271454 369754112 371032064 374989888 384184736 387086336 396577792 399572992 409370624 413737408 415167376 422576128 427083776 428559872 433131349 440860672 442384384 447103328 456654848 458155789 461526016 472842752 472935008 476413952 488095744 488190976 491782144 495007256 503840768 503939072 510975232 511074928 523606616 527458304 527561216 540497152 544473088 557932544 563884048 565832956 575930368 582073856 584085632 600850432 602927104 609358568 620232704 624300196 629015296 644438912 649306112 665227264 672323288 674646986 686686208 694011136 696409792 716398592 718874624 726542908 739508224 742064128 749979776 768369472 774172672 793155584 799145984 804386791 818741248 827474816 830334752 854167552 857119744 866262698 881721344 884768768 894206656 913309696 916311578 923052032 945685504 945870016 952827904 976191488 976381952 990014512 990207673 1007681536 1007878144 1021950464 1022149856 1047213232 1054916608 1055122432 1080994304 1088946176 1092525343 1115865088 1127768096 1131665912 1151860736 1164147712 1168171264 1201700864 1205854208 1218717136 1240465408 1248600392 1258030592 1288877824 1298612224 1330454528 1344646576 1349293972 1373372416 1388022272 1392819584 1432797184 1437749248 1453085816 1479016448 1484128256 1499959552 1536738944 1548345344 1586311168 1598291968 1608773582 1637482496 1654949632 1660669504 1708335104 1714239488 1732525396 1763442688 1769537536 1788413312 1832623156 1846104064 1891371008 1891740032 1905655808 1952382976 1952763904 1980029024 1980415346 2015756288 2028975637 2043900928 2044299712 2094426464 2109833216 2110244864 2161988608 2177892352 2185050686 2231730176 2255536192 2263331824 2303721472 2328295424 2336342528 2361264451 2403401728 2411708416 2437434272 2497200784 2516061184 2577755648 2597224448 2660909056 2689293152 2698587944 2746744832 2776044544 2785639168 2865594368 2875498496 2906171632 2958032896 2968256512 2999919104 3073477888 3096690688 3172622336 3196583936 3217547164 3274964992 3309899264 3321339008 3416670208 3428478976 3465050792 3526885376 3539075072 3576826624 3665246312 3692208128 3782742016 3783480064 3811311616 3904765952 3905527808 3960058048 3960830692 4031512576 4057951274 4087801856 4088599424 4188852928 4219666432 4220489728 4323977216 4370101372 4385205409 4463460352 4511072384 4526663648 4656590848 4672685056 4722528902 4806803456 4823416832 4874868544 4994401568 5032122368 5155511296 5194448896 5321818112 5378586304 5397175888 5493489664 5552089088 5571278336 5630707537 5731188736 5750996992 5812343264 5936513024 5999838208 6146955776 6193381376 6345244672 6393167872 6435094328 6549929984 6619798528 6642678016 6833340416 6856957952 6930101584 7053770752 7078150144 7153653248 7330492624 7384416256 7565484032 7566960128 7622623232 7809531904 7811055616 7920116096 7921661384 8063025152 8115902548 8175603712 8177198848 8377705856 8439332864 8440979456 8647954432 8740202744 8770410818 8926920704 9022144768 9053327296 9313181696 9345370112 9445057804 9613606912 9646833664 9749737088 9988803136 10064244736 10311022592 10388897792 10457028283 10643636224 10757172608 10794351776 11104178176 11142556672 11261415074 11462377472 11501993984 11624686528 11873026048 11999676416 12293911552 12386762752 12690489344 12870188656 13099859968 13239597056 13285356032 13666680832 13713915904 13860203168 14156300288 14202829459 14307306496 14660985248 14768832512 15130968064 15133920256 15245246464 15619063808 15622111232 15840232192 15843322768 16126050304 16231805096 16351207424 16354397696 16755411712 16878665728 16881958912 17295908864 17480405488 17540821636 17853841408 18044289536 18106654592 18626363392 18690740224 18890115608 19227213824 19293667328 19499474176 19977606272 20128489472 20622045184 20777795584 20914056566 21287272448 21514345216 21588703552 22208356352 22285113344 22522830148 22924754944 23003987968 23249373056 23999352832 24587823104 24773525504 25380978688 25740377312 26479194112 26570712064 27333361664 27427831808 27720406336 28312600576 28405658918 28614612992 29321970496 29537665024 30261936128 30267840512 30696437863 31238127616 31244222464 31680464384 31686645536 32463610192 32702414848 32708795392 33510823424 33757331456 33763917824 34591817728 34960810976 35081643272 35707682816 36088579072 36213309184 37252726784 37381480448 37780231216 38454427648 38587334656 38998948352 39955212544 40256978944 41244090368 41555591168 41828113132 42574544896 43028690432 43177407104 44416712704 44570226688 45045660296 45849509888 46007975936 46498746112 47998705664 49175646208 49547051008 50761957376 51480754624 52958388224 53141424128 54666723328 54855663616 55440812672 56811317836 57229225984 58643940992 59075330048 60523872256 60535681024 61392875726 62488444928 63360928768 63373291072 64927220384 65404829696 65417590784 67021646848 67514662912 67527835648 69183635456 69921621952 70163286544 71415365632 72177158144 72426618368 73199197981 74505453568 74762960896 75560462432 77174669312 77997896704 79910425088 80513957888 82488180736 83111182336 83656226264 85149089792 86057380864 86354814208 88833425408 89140453376 90091320592 91699019776 92015951872 92997492224 95997411328 98351292416 99094102016 101523914752 102961509248 105916776448 106282848256 109333446656 109711327232 110881625344 113622635672 114458451968 117287881984 118150660096 121047744512 121071362048 122785751452 124976889856 126721857536 126746582144 129854440768 130809659392 130835181568 134043293696 135055671296 135941367679 138367270912 139843243904 140326573088 144354316288 144853236736 146398395962 149010907136 149525921792 151120924864 154349338624 155995793408 159820850176 161027915776 164976361472 167312452528 170298179584 172114761728 172709628416 177666850816 178280906752 180182641184 184031903744 185994984448 191994822656 196702584832 198188204032 203047829504 205923018496 211833552896 212565696512 218666893312 219422654464 221763250688 227245271344 228916903936 234575763968 236301320192 242095489024 242142724096 245571502904 249953779712 253443715072 253493164288 259708881536 261619318784 261670363136 268086587392 270111342592 271882735358 276734541824 279686487808 280653146176 288708632576 289706473472 292796791924 298021814272 299051843584 302241849728 311991586816 319641700352 322055831552 329952722944 334624905056 344229523456 345419256832 355333701632 356561813504 360365282368 368063807488 371989968896 383989645312 393405169664 406095659008 411846036992 423667105792 425131393024 438845308928 443526501376 454490542688 457833807872 469151527936 472602640384 484190978048 484285448192 491143005808 499907559424 506887430144 506986328576 519417763072 523238637568 523340726272 536173174784 540222685184 543765470716 553469083648 559372975616 561306292352 577417265152 579412946944 585593583848 596043628544 598103687168 604483699456 623983173632 639283400704 644111663104 659905445888 669249810112 688459046912 690838513664 710667403264 713123627008 720730564736 743979937792 767979290624 786810339328 823692073984 847334211584 850262786048 877690617856 887053002752 908981085376 915667615744 938303055872 951589573753 968381956096 968570896384 982286011616 1013774860288 1013972657152 1038835526144 1046477275136 1046681452544 1072346349568 1080445370368 1087530941432 1106938167296 1118745951232 1122612584704 1154834530304 1158825893888 1171187167696 1192087257088 1196207374336 1208967398912 1247966347264 1278566801408 1288223326208 1319810891776 1338499620224 1376918093824 1381677027328 1421334806528 1426247254016 1441461129472 1487959875584 1535958581248 1573620678656 1647384147968 1694668423168 1700525572096 1774106005504 1817962170752 1831335231488 1876606111744 1903179147506 1937141792768 1964572023232 2027549720576 2027945314304 2077671052288 2092954550272 2093362905088 2144692699136 2175061882864 2213876334592 2237491902464 2245225169408 2309669060608 2317651787776 2342374335392 2392414748672 2417934797824 2495932694528 2557133602816 2576446652416 2639621783552 2676999240448 2753836187648 2763354054656 2842669613056 2852494508032 2882922258944 2975919751168 3071917162496 3147241357312 3294768295936 3389336846336 3401051144192 3548212011008 3635924341504 3662670462976 3753212223488 3806358295012 3874283585536 3929144046464 4055099441152 4055890628608 4155342104576 4186725810176 4289385398272 4350123765728 4474983804928 4490450338816 4619338121216 4635303575552 4684748670784 4784829497344 4835869595648 4991865389056 5114267205632 5279243567104 5353998480896 5507672375296 5526708109312 5704989016064 5765844517888 5951839502336 6143834324992 6294482714624 6589536591872 6778673692672 6802102288384 7096424022016 7271848683008 7325340925952 7506424446976 7612716590024 7748567171072 7858288092928 8110198882304 8111781257216 8310684209152 8373451620352 8578770796544 8700247531456 8949967609856 8980900677632 9238676242432 9270607151104 9369497341568 9671739191296 9983730778112 10228534411264 10707996961792 11015344750592 11053416218624 11409978032128 11531689035776 11903679004672 12588965429248 13179073183744 13604204576768 14192848044032 14543697366016 14650681851904 15012848893952 15225433180048 15497134342144 15716576185856 16220397764608 16223562514432 16621368418304 16746903240704 17157541593088 17400495062912 17899935219712 17961801355264 18477352484864 18541214302208 18738994683136 19343478382592 19967461556224 20457068822528 21415993923584 22030689501184 22106832437248 23063378071552 23807358009344 26358146367488 27208409153536 28385696088064 29087394732032 30025697787904 30450866360096 31433152371712 32440795529216 32447125028864 33242736836608 33493806481408 34315083186176 34800990125824 35799870439424 35923602710528 36954704969728 37082428604416 37477989366272 38686956765184 39934923112448 40914137645056 42831987847168 44061379002368 44213664874496 46126756143104 47614716018688 52716292734976 56771392176128 58174789464064 60051395575808 60901732720192 62866304743424 64881591058432 64894250057728 66485473673216 68630166372352 69601980251648 71599740878848 71847205421056 74164857208832 74955978732544 77373913530368 79869846224896 81828275290112 85663975694336 88122758004736 88427329748992 92253512286208 95229432037376 105432585469952 113542784352256 116349578928128 120102791151616 121803465440384 125732609486848 129788500115456 132970947346432 139203960503296 143199481757696 143694410842112 148329714417664 149911957465088 154747827060736 163656550580224 171327951388672 176854659497984 184507024572416 190458864074752 210865170939904 227085568704512 232699157856256 240205582303232 243606930880768 251465218973696 259577000230912 265941894692864 278407921006592 286398963515392 287388821684224 299823914930176 309495654121472 342655902777344 353709318995968 369014049144832 421730341879808 454171137409024 465398315712512 480411164606464 487213861761536 502930437947392 519154000461824 531883789385728 556815842013184 572797927030784 574777643368448 599647829860352 618991308242944 685311805554688 738028098289664 843460683759616 930796631425024 974427723523072 1005860875894784 1038308000923648 1063767578771456 1113631684026368 1145595854061568 1149555286736896 1199295659720704 1237982616485888 1370623611109376 1476056196579328 1861593262850048 1948855447046144 2011721751789568 2127535157542912 2227263368052736 2299110573473792 2398591319441408 2475965232971776 2741247222218752 2952112393158656 3723186525700096 3897710894092288 4023443503579136 4454526736105472 4598221146947584 4797182638882816 5482494444437504 5904224786317312 7446373051400192 7795421788184576 8046887007158272 8909053472210944 9594365277765632 10964988888875008 14892746102800384 15590843576369152 16093774014316544 17818106944421888 19188730555531264 31181687152738304 32187548028633088 35636213888843776 38377461111062528 62363374305476608 71272427777687552 76754922222125056 124726748610953216 142544855555375104 249453497221906432 498906994443812864 997813988887625728
- Sum of all divisors σ(n): 2591151212074409600
- Sum of proper divisors (its aliquot sum) s(n): 1593337223186783872
- 997813988887625728 is an abundant number, because the sum of its proper divisors (1593337223186783872) is greater than itself. Its abundance is 595523234299158144
Bases of 997813988887625728
- Binary: 1101110110001111001010001001010001111001000000000000000000002
- Hexadecimal: 0xDD8F28947900000
- Base-36: 7KWVJECTYCCG
Squares and roots of 997813988887625728
- 997813988887625728 squared (9978139888876257282) is 995632756419834879802045961007529984
- 997813988887625728 cubed (9978139888876257283) is 993456292150457293954582739736299533393384607529828352
-
The
square root of 997813988887625728 is 998906396.4594609241 -
The
cube root of 997813988887625728 is 999270.7980229327
Scales and comparisons
How big is 997813988887625728?- 997,813,988,887,625,728 seconds is equal to 31,727,398,405 years, 16 weeks, 16 hours, 55 minutes, 28 seconds.
-
To count from 1 to 997,813,988,887,625,728 would take you about ninety-five billion, one hundred eighty-two million, one hundred ninety-five thousand, two hundred fifteen 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 997813988887625728 cubic inches would be around 83272.6 feet tall.
Recreational maths with 997813988887625728
- 997813988887625728 backwards is 827526788889318799
- The number of decimal digits it has is: 18
- The sum of 997813988887625728's digits is 115
- 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 997813988887625728 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
APA style:
Numbermatics. (2024). Number 997813988887625728 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/997813988887625728/
Chicago style:
Numbermatics. 2024. "Number 997813988887625728 - Facts about the integer". https://numbermatics.com/n/997813988887625728/
The information we have on file for 997813988887625728 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 997813988887625728, math, Factors of 997813988887625728, curriculum, school, college, exams, university, Prime factorization of 997813988887625728, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety-seven quadrillion, eight hundred thirteen trillion, nine hundred eighty-eight billion, eight hundred eighty-seven million, six hundred twenty-five thousand, seven hundred twenty-eight.