997328193985792746
997,328,193,985,792,746 is an even composite number composed of six prime numbers multiplied together.
997328193985792746 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 997328193985792746:
2 × 32 × 73 × 113 × 413 × 13272
(2 × 3 × 3 × 7 × 7 × 7 × 11 × 11 × 11 × 41 × 41 × 41 × 1327 × 1327)See below for interesting mathematical facts about the number 997328193985792746 from the Numbermatics database.
Names of 997328193985792746
- Cardinal: 997328193985792746 can be written as Nine hundred ninety-seven quadrillion, three hundred twenty-eight trillion, one hundred ninety-three billion, nine hundred eighty-five million, seven hundred ninety-two thousand, seven hundred forty-six.
Scientific notation
- Scientific notation: 9.97328193985792746 × 1017
Factors of 997328193985792746
Divisors of 997328193985792746
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 6 7 9 11 14 18 21 22 33 41 42 49 63 66 77 82 98 99 121 123 126 147 154 198 231 242 246 287 294 343 363 369 441 451 462 539 574 686 693 726 738 847 861 882 902 1029 1078 1089 1327 1331 1353 1386 1617 1681 1694 1722 2009 2058 2178 2541 2583 2654 2662 2706 3087 3157 3234 3362 3773 3981 3993 4018 4059 4851 4961 5043 5082 5166 5929 6027 6174 6314 7546 7623 7962 7986 8118 9289 9317 9471 9702 9922 10086 11319 11767 11858 11943 11979 12054 14063 14597 14883 15129 15246 17787 18081 18491 18578 18634 18942 22099 22638 23534 23886 23958 27867 27951 28126 28413 29194 29766 30258 33957 34727 35301 35574 36162 36982 41503 42189 43791 44198 44649 53361 54407 54571 55473 55734 55902 56826 65023 65219 66297 67914 68921 69454 70602 82369 83006 83601 83853 84378 87582 89298 102179 104181 105903 106722 108814 109142 110946 124509 126567 129437 130046 130438 131373 132594 137842 154693 160567 163221 163713 164738 166419 167202 167706 195069 195657 198891 203401 204358 206763 208362 211806 243089 247107 249018 253134 258874 262746 306537 309386 312543 321134 326442 327426 332838 373527 380849 381997 388311 390138 391314 397782 406802 413526 455161 456533 464079 481701 482447 486178 489663 491139 494214 576583 585207 586971 598477 610203 613074 620289 625086 715253 729267 741321 747054 758131 761698 763994 776622 906059 910322 913066 919611 928158 963402 964894 979326 982278 1123969 1142547 1145991 1153166 1164933 1170414 1173942 1196954 1220406 1240578 1365483 1369599 1392237 1423807 1430506 1445103 1447341 1458534 1482642 1516262 1701623 1729749 1760929 1766237 1795431 1812118 1830609 1839222 2145759 2187801 2230687 2237411 2247938 2274393 2285094 2291982 2329866 2665943 2673979 2718177 2730966 2739198 2784474 2847614 2890206 2894682 3371907 3377129 3403246 3427641 3437973 3459498 3521858 3532474 3590862 3661218 4096449 4108797 4189339 4271421 4291518 4342023 4375602 4461374 4474822 4548786 5006771 5104869 5189247 5282787 5298711 5306917 5331886 5347958 5386293 5436354 6342413 6437277 6583247 6692061 6712233 6743814 6754258 6823179 6855282 6875946 7867783 7997829 8021937 8154531 8192898 8217594 8339441 8378678 8542842 8684046 9966649 10013542 10115721 10131387 10209738 10378494 10565574 10597422 10613834 10772586 12326503 12363659 12568017 12684826 12814263 12874554 13166494 13384122 13424466 13646358 15020313 15314607 15614809 15661877 15735566 15848361 15896133 15920751 15995658 16043874 16309062 16678882 18661601 18717853 19027239 19370219 19749741 19933298 20076183 20136699 20231442 20262774 23603349 23639903 23993487 24065811 24537557 24653006 24727318 25018323 25136034 25628526 29325373 29899947 30040626 30394161 30629214 31229618 31323754 31696722 31792266 31841502 36979509 37090977 37148419 37323202 37435706 37704051 38054478 38740438 39499482 40152366 40273398 45060939 46082729 46844427 46985631 47206698 47279806 47762253 47986974 48131622 49075114 50036646 55074481 55984803 56153559 57081717 58110657 58376087 58650746 59249223 59799894 60788322 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506910019 515288697 517713126 519273678 520077866 525384783 527856714 539826254 548749002 550403106 603998647 605819291 615832833 627898887 639217227 640207169 642136957 645158206 649782801 651741453 655821978 657798834 668671542 765125641 767431973 776569689 778910517 780116799 794178979 809739381 813549198 817265218 823123503 825604659 829489122 949140731 967737309 983732967 986698251 991340658 1006039837 1010773246 1013820038 1030577394 1050769566 1202340293 1207997294 1211638582 1220323797 1225897827 1231665666 1255797774 1278434454 1280414338 1284273914 1299565602 1303482906 1491506863 1516159869 1520730057 1530251282 1534863946 1545866091 1553139378 1557821034 1560233598 1588357958 1619478762 1646247006 1651209318 1811995941 1817457873 1847498499 1889391889 1898281462 1917651681 1920621507 1926410871 1935474618 1967465934 1973396502 2012079674 2258053721 2295376923 2302295919 2340350397 2343796499 2382536937 2404680586 2429218143 2440647594 2451795654 2847422193 2860428263 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16406575493 16677758559 16832764102 17004527001 17084533158 17162569578 17471937538 17760729894 17814266382 18108717066 19931955351 20322483489 20720851543 20783310779 20881096082 21094168491 21126836577 21226238166 21290220798 21642125274 22132876414 24763944527 24838590931 25249146153 25743854367 26207906307 26451486446 26641094841 26721399573 26847123534 26888701098 26969752194 31321644123 31370151281 31464710893 31839357249 31935331197 32561338139 32813150986 33199314621 33355517118 34009054002 38914769971 39677229669 39863910702 40333051647 40454628291 40644966978 41441703086 41566621558 42188336982 42253673154 49219726479 49295952013 49527889054 49677181862 50033275677 50498292306 51487708734 52415812614 53282189682 53442799146 59795866053 61151781383 62162554629 62349932337 62643288246 62740302562 62929421786 63380509731 63678714498 63870662394 65122676278 66398629242 73083836287 74291833581 74515772793 75747438459 77465067449 77829539942 78623718921 79354459338 80666103294 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455858733946 464790404694 542255472143 544806779594 550366032447 555481215366 564662723058 566364796074 576573938754 586104086502 657754526583 672669595213 683788100919 689076170706 690143328182 697185607041 700465859478 716349439058 728189925654 730384921662 803922199157 817210169391 833221823049 849554913263 852115741939 856124939362 864860908131 870275764806 872899052718 887327136234 1015321725607 1018382228171 1033614256059 1035214992273 1074524158587 1084510944286 1092284888481 1095577382493 1100732064894 1284187409043 1305413647209 1309348579077 1315509053166 1335014863699 1345339190426 1367576201838 1394371214082 1595505568811 1607844398314 1626766416429 1634420338782 1666443646098 1699109826526 1704231483878 1729721816262 2018008785639 2030643451214 2036764456342 2051364302757 2067228512118 2070429984546 2149048317174 2184569776962 2191154764986 2411766597471 2451630508173 2507223036703 2548664739789 2556347225817 2568374818086 2610827294418 2618697158154 2670029727398 2996437287767 3045965176821 3055146684513 3105644976819 3191011137622 3223572475761 3253532832858 3795788305001 3852562227129 3939921914819 4005044591097 4036017571278 4102728605514 4708687166491 4786516706433 4823533194942 4880299249287 4903261016346 5014446073406 5097329479578 5112694451634 5946884392841 5964810193573 5992874575534 6054026356917 6091930353642 6110293369026 6211289953638 6447144951522 7235299792413 7521669110109 7591576610002 7645994219367 7669041677451 7705124454258 7879843829638 8010089182194 8989311863301 9137895530463 9165440053539 9345104045893 9417374332982 9573033412866 9760598498574 11168538981677 11387364915003 11819765744457 11893768785682 11929620387146 12015133773291 12108052713834 14126061499473 14359550119299 14470599584826 14685163500689 15043338220218 15291988438734 15338083354902 17550561256921 17840653178523 17894430580719 17978623726602 18275791060926 18330880107078 18690208091786 22337077963354 22565007330327 22774729830006 23639531488914 24030267546582 26967935589903 27579453403733 28035312137679 28252122998946 28719100238598 29370327001378 32960810165437 33505616945031 34162094745009 35101122513842 35459297233371 35681306357046 35788861161438 41628190749887 41753671355011 42378184498419 44055490502067 45130014660654 52651683770763 53521959535569 53683291742157 53935871179806 55158906807466 56070624275358 65415728321251 65921620330874 67011233890062 68324189490018 70918594466742 82738360211199 83256381499774 83507342710022 84105936413037 84756368996838 88110981004134 98882430496311 100516850835093 102796144504823 105303367541526 107043919071138 107366583484314 122853928798447 124884572249661 125261014065033 130831456642502 132166471506201 157955051312289 161536798507579 165476720422398 168211872826074 193056173826131 196247184963753 197764860992622 201033701670186 205592289009646 245707857596894 248215080633597 249769144499322 250522028130066 264332943012402 296647291488933 308388433514469 315910102624578 323073597015158 368561786395341 374653716748983 375783042195099 386112347652262 392494369927506 457910098248757 484610395522737 496430161267194 579168521478393 588741554891259 593294582977866 616776867028938 719573011533761 737123572790682 749307433497966 751566084390198 915820196497514 925165300543407 969220791045474 1105685359186023 1130757589553053 1158337042956786 1177483109782518 1351393216782917 1373730294746271 1439146023067522 1453831186568211 1737505564435179 1850330601086814 2158719034601283 2211370718372046 2261515179106106 2702786433565834 2747460589492542 2907662373136422 3392272768659159 3475011128870358 4054179650348751 4121190884238813 4317438069202566 5037011080736327 6476157103803849 6784545537318318 7915303126871371 8108359300697502 8242381768477626 10074022161472654 10176818305977477 12162538951046253 12952314207607698 15111033242208981 15830606253742742 20353636611954954 23745909380614113 24325077902092506 30222066484417962 45333099726626943 47491818761228226 55407121888099597 71237728141842339 90666199453253886 110814243776199194 142475456283684678 166221365664298791 332442731328597582 498664096992896373 997328193985792746
- Sum of all divisors σ(n): 2843218270709107200
- Sum of proper divisors (its aliquot sum) s(n): 1845890076723314454
- 997328193985792746 is an abundant number, because the sum of its proper divisors (1845890076723314454) is greater than itself. Its abundance is 848561882737521708
Bases of 997328193985792746
- Binary: 1101110101110011100010110101010101110000000101001010111010102
- Hexadecimal: 0xDD738B557014AEA
- Base-36: 7KS3C79C96UI
Squares and roots of 997328193985792746
- 997328193985792746 squared (9973281939857927462) is 994663526518963046053163294066220516
- 997328193985792746 cubed (9973281939857927463) is 992005978526697084107149532246263635205752616309176936
-
The
square root of 997328193985792746 is 998663203.4804290045 -
The
cube root of 997328193985792746 is 999108.6036438981
Scales and comparisons
How big is 997328193985792746?- 997,328,193,985,792,746 seconds is equal to 31,711,951,630 years, 4 weeks, 6 days, 1 hour, 59 minutes, 6 seconds.
-
To count from 1 to 997,328,193,985,792,746 would take you about ninety-five billion, one hundred thirty-five million, eight hundred fifty-four thousand, eight hundred ninety 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 997328193985792746 cubic inches would be around 83259.1 feet tall.
Recreational maths with 997328193985792746
- 997328193985792746 backwards is 647297589391823799
- The number of decimal digits it has is: 18
- The sum of 997328193985792746's digits is 108
- More coming soon!
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"Number 997328193985792746 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 997328193985792746 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/997328193985792746/
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The information we have on file for 997328193985792746 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 997328193985792746, math, Factors of 997328193985792746, curriculum, school, college, exams, university, Prime factorization of 997328193985792746, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety-seven quadrillion, three hundred twenty-eight trillion, one hundred ninety-three billion, nine hundred eighty-five million, seven hundred ninety-two thousand, seven hundred forty-six.