997340342948329248
997,340,342,948,329,248 is an even composite number composed of seven prime numbers multiplied together.
What does the number 997340342948329248 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
997340342948329248 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 997340342948329248:
25 × 32 × 112 × 172 × 139 × 373 × 1910047
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 17 × 17 × 139 × 373 × 1910047)See below for interesting mathematical facts about the number 997340342948329248 from the Numbermatics database.
Names of 997340342948329248
- Cardinal: 997340342948329248 can be written as Nine hundred ninety-seven quadrillion, three hundred forty trillion, three hundred forty-two billion, nine hundred forty-eight million, three hundred twenty-nine thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 9.97340342948329248 × 1017
Factors of 997340342948329248
Divisors of 997340342948329248
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 121 132 136 139 144 153 176 187 198 204 242 264 272 278 288 289 306 352 363 373 374 396 408 417 484 528 544 556 561 578 612 726 746 748 792 816 834 867 968 1056 1089 1112 1119 1122 1156 1224 1251 1452 1492 1496 1529 1584 1632 1668 1683 1734 1936 2057 2178 2224 2238 2244 2312 2363 2448 2502 2601 2904 2984 2992 3058 3168 3179 3336 3357 3366 3468 3872 4103 4114 4356 4448 4476 4488 4587 4624 4726 4896 5004 5202 5808 5968 5984 6116 6171 6341 6358 6672 6714 6732 6936 7089 8206 8228 8712 8952 8976 9174 9248 9452 9537 10008 10404 11616 11936 12232 12309 12342 12682 12716 13344 13428 13464 13761 13872 14178 16412 16456 16819 17424 17904 17952 18348 18513 18904 19023 19074 20016 20808 21267 24464 24618 24684 25364 25432 25993 26856 26928 27522 27744 28356 28611 32824 32912 33638 34848 34969 35808 36696 36927 37026 37808 38046 38148 40032 40171 41616 42534 45133 48928 49236 49368 50457 50728 50864 51847 51986 53712 53856 55044 56712 57069 57222 65648 65824 67276 69751 69938 73392 73854 74052 75616 76092 76296 77979 80342 83232 85068 90266 98472 98736 100914 101456 101728 103694 103972 104907 107424 107797 110088 113424 114138 114444 120513 131296 134552 135399 139502 139876 146784 147708 148104 151371 152184 152592 155541 155958 160684 170136 180532 196944 197472 201828 202912 207388 207944 209253 209814 215594 220176 226848 228276 228888 233937 241026 269104 270798 279004 279752 285923 295416 296208 302742 304368 305184 311082 311916 314721 321368 323391 340272 361064 361539 393888 403656 406197 414776 415888 418506 419628 431188 440352 441881 456552 457776 466623 467874 482052 538208 541596 558008 559504 570317 571846 590832 592416 605484 608736 622164 623832 627759 629442 642736 646782 680544 722128 723078 767261 807312 812394 829552 831776 837012 839256 857769 862376 881399 883762 913104 915552 933246 935748 964104 970173 1083192 1116016 1119008 1140634 1143692 1181664 1185767 1210968 1244328 1247664 1255518 1258884 1285472 1293564 1325643 1444256 1446156 1534522 1614624 1624788 1659104 1674024 1678512 1710951 1715538 1724752 1762798 1767524 1826208 1866492 1871496 1910047 1928208 1940346 2166384 2232032 2281268 2287384 2301783 2371534 2421936 2488656 2495328 2511036 2517768 2573307 2587128 2644197 2651286 2892312 3069044 3249576 3348048 3357024 3421902 3431076 3449504 3525596 3535048 3557301 3732984 3742992 3820094 3856416 3880692 3976929 4332768 4562536 4574768 4603566 4743068 4843872 4860691 4977312 5022072 5035536 5132853 5146614 5174256 5288394 5302572 5730141 5784624 6138088 6273487 6499152 6696096 6843804 6862152 6905349 7051192 7070096 7114602 7465968 7485984 7640188 7761384 7932591 7953858 9125072 9149536 9207132 9486136 9695389 9721382 10044144 10071072 10265706 10293228 10348512 10576788 10605144 10671903 11460282 11569248 12276176 12546974 12998304 13043437 13687608 13724304 13810698 14102384 14140192 14229204 14582073 14931936 14983783 15280376 15522768 15865182 15907716 17190423 18250144 18414264 18820461 18972272 19390778 19442764 20088288 20531412 20586456 21010517 21153576 21210288 21343806 22920564 24552352 25093948 26086874 27375216 27448608 27621396 28204768 28458408 29086167 29164146 29967566 30560752 31045536 31730364 31815432 32470799 34380846 36828528 37640922 37944544 38781556 38885528 39130311 41062824 41172912 42021034 42307152 42420576 42687612 43746219 44951349 45841128 50187896 52173748 54750432 55242792 56461383 56916816 58172334 58328292 59935132 61121504 63031551 63460728 63630864 64941598 68761692 73657056 75281844 77563112 77771056 78260622 82125648 82345824 84042068 84614304 85375224 87258501 87492438 89902698 91682256 97412397 100375792 104347496 106649279 110485584 112922766 113833632 116344668 116656584 117390933 119870264 126063102 126921456 127261728 129883196 134854047 137523384 150563688 155126224 155542112 156521244 164251296 164821613 168084136 170750448 174517002 174984876 179805396 183364512 189094653 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564258444552 565771201776 578251448874 581357185296 582915783648 594181240854 595774220052 601131901887 613827984296 617692009377 649935512784 689649210008 690556482333 752344592736 771001931832 775855361259 792241654472 794365626736 799366129782 801509202516 823589345836 841093016544 844013478407 872035777944 874373675472 891271861281 893661330078 920741976444 1028002575776 1034473815012 1065821506376 1068678936688 1089332274899 1092252736762 1128516889104 1131542403552 1156502897748 1162714370592 1188362481708 1191548440104 1199049194673 1202263803774 1227655968592 1235384018754 1299871025568 1379298420016 1381112964666 1465504571267 1542003863664 1551710722518 1584483308944 1588731253472 1598732259564 1603018405032 1638379105143 1647178691672 1683513515753 1688026956814 1744071555888 1748747350944 1782543722562 1787322660156 1841483952888 1853076028131 2068947630024 2131643012752 2137357873376 2178664549798 2184505473524 2257033778208 2264870701049 2313005795496 2376724963416 2383096880208 2398098389346 2404527607548 2455311937184 2470768037508 2532040435221 2758596840032 2762225929332 2931009142534 3084007727328 3103421445036 3168966617888 3197464519128 3206036810064 3267996824697 3276758210286 3294357383344 3367027031506 3376053913628 3488143111776 3565087445124 3574645320312 3682967905776 3706152056262 4137895260048 4263286025504 4357329099596 4369010947048 4396513713801 4529741402098 4626011590992 4753449926832 4766193760416 4796196778692 4809055215096 4915137315429 4941536075016 5050540547259 5064080870442 5524451858664 5862018285068 6206842890072 6394929038256 6412073620128 6535993649394 6553516420572 6588714766688 6734054063012 6752107827256 6794612103147 7130174890248 7149290640624 7365935811552 7412304112524 7596121305663 8275790520096 8714658199192 8738021894096 8793027427602 9059482804196 9252023181984 9284148262477 9506899853664 9592393557384 9618110430192 9803990474091 9830274630858 9883072150032 10101081094518 10128161740884 11048903717328 11724036570136 11982655023889 12413685780144 12789858076512 13071987298788 13107032841144 13189541141403 13468108126024 13504215654512 13589224206294 14260349780496 14298581281248 14824608225048 15151621641777 15192242611326 17429316398384 17476043788192 17586054855204 18118965608392 18518648673283 18568296524954 19184787114768 19236220860384 19607980948182 19660549261716 19766144300064 20202162189036 20256323481768 20383836309441 22097807434656 23448073140272 23965310047778 24827371560288 24913577711539 26143974597576 26214065682288 26379082282806 26936216252048 27008431309024 27178448412588 27852444787431 28520699560992 28619729767801 29649216450096 30303243283554 30384485222652 34858632796768 35172109710408 35947965071667 36237931216784 37037297346566 37136593049908 38369574229536 39215961896364 39321098523432 40404324378072 40512646963536 40767672618882 46896146280544 47930620095556 49827155423078 52287949195152 52428131364576 52758164565612 53872432504096 54356896825176 55555946019849 55704889574862 57239459535602 59298432900192 60606486567108 60768970445304 70344219420816 71895930143334 72475862433568 74074594693132 74273186099816 74740733134617 78431923792728 78642197046864 80808648756144 81025293927072 81535345237764 83557334362293 85859189303403 95861240191112 99654310846156 104575898390304 105516329131224 107843895215001 108713793650352 111111892039698 111409779149724 114478919071204 121212973134216 121537940890608 140688438841632 143791860286668 148149189386264 148546372199632 149481466269234 156863847585456 157284394093728 161617297512288 163070690475528 166667838059547 167114668724586 171718378606806 191722480382224 199308621692312 203705135406113 211032658262448 215687790430002 217427587300704 222223784079396 222819558299448 224222199403851 228957838142408 242425946268432 243075881781216 257577567910209 287583720573336 296298378772528 297092744399264 298962932538468 313727695170912 314817027445811 326141380951056 333335676119094 334229337449172 343436757213612 383444960764448 398617243384624 407410270812226 422065316524896 431375580860004 444447568158792 445639116598896 448444398807702 457915676284816 484851892536864 515155135820418 575167441146672 592596757545056 597925865076936 611115406218339 629634054891622 652282761902112 666671352238188 668458674898344 686873514427224 797234486769248 814820541624452 862751161720008 888895136317584 891278233197792 896888797615404 915831352569632 944451082337433 1030310271640836 1150334882293344 1195851730153872 1222230812436678 1259268109783244 1333342704476376 1336917349796688 1373747028854448 1629641083248904 1725502323440016 1777790272635168 1793777595230808 1833346218655017 1888902164674866 2060620543281672 2391703460307744 2444461624873356 2518536219566488 2666685408952752 2673834699593376 2747494057708896 2833353247012299 3259282166497808 3451004646880032 3462987301903921 3587555190461616 3666692437310034 3777804329349732 4121241086563344 4888923249746712 5037072439132976 5333370817905504 5666706494024598 6518564332995616 6925974603807842 7175110380923232 7333384874620068 7555608658699464 8242482173126688 9777846499493424 10074144878265952 10388961905711763 11333412988049196 13851949207615684 14666769749240136 15111217317398928 19555692998986848 20777923811423526 22666825976098392 27703898415231368 29333539498480272 30222434634797856 31166885717135289 41555847622847052 45333651952196784 55407796830462736 58667078996960544 62333771434270578 83111695245694104 90667303904393568 110815593660925472 124667542868541156 166223390491388208 249335085737082312 332446780982776416 498670171474164624 997340342948329248
- Sum of all divisors σ(n): 3344397094039921920
- Sum of proper divisors (its aliquot sum) s(n): 2347056751091592672
- 997340342948329248 is an abundant number, because the sum of its proper divisors (2347056751091592672) is greater than itself. Its abundance is 1349716408143263424
Bases of 997340342948329248
- Binary: 1101110101110100001111000001111111011001100111110111001000002
- Hexadecimal: 0xDD743C1FD99F720
- Base-36: 7KS7N8EYVEW0
Squares and roots of 997340342948329248
- 997340342948329248 squared (9973403429483292482) is 994687759672290997957173994612245504
- 997340342948329248 cubed (9973403429483292483) is 992042231358068006950957661669979438863109198399700992
-
The
square root of 997340342948329248 is 998669286.0743887161 -
The
cube root of 997340342948329248 is 999112.6605109629
Scales and comparisons
How big is 997340342948329248?- 997,340,342,948,329,248 seconds is equal to 31,712,337,929 years, 27 weeks, 1 day, 9 hours, 40 minutes, 48 seconds.
-
To count from 1 to 997,340,342,948,329,248 would take you about ninety-five billion, one hundred thirty-seven million, thirteen thousand, seven hundred eighty-eight 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 997340342948329248 cubic inches would be around 83259.4 feet tall.
Recreational maths with 997340342948329248
- 997340342948329248 backwards is 842923849243043799
- The number of decimal digits it has is: 18
- The sum of 997340342948329248's digits is 90
- More coming soon!
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"Number 997340342948329248 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 997340342948329248 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/997340342948329248/
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The information we have on file for 997340342948329248 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 997340342948329248, math, Factors of 997340342948329248, curriculum, school, college, exams, university, Prime factorization of 997340342948329248, STEM, science, technology, engineering, physics, economics, calculator, nine hundred ninety-seven quadrillion, three hundred forty trillion, three hundred forty-two billion, nine hundred forty-eight million, three hundred twenty-nine thousand, two hundred forty-eight.