997428460972690800
997,428,460,972,690,800 is an even composite number composed of four prime numbers multiplied together.
997428460972690800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ten divisors.
Prime factorization of 997428460972690800:
24 × 318 × 52 × 235
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 23 × 23 × 23 × 23 × 23)See below for interesting mathematical facts about the number 997428460972690800 from the Numbermatics database.
Names of 997428460972690800
- Cardinal: 997428460972690800 can be written as Nine hundred ninety-seven quadrillion, four hundred twenty-eight trillion, four hundred sixty billion, nine hundred seventy-two million, six hundred ninety thousand, eight hundred.
Scientific notation
- Scientific notation: 9.974284609726908 × 1017
Factors of 997428460972690800
Divisors of 997428460972690800
- Number of divisors d(n): 1710
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 36 40 45 46 48 50 54 60 69 72 75 80 81 90 92 100 108 115 120 135 138 144 150 162 180 184 200 207 216 225 230 240 243 270 276 300 324 345 360 368 400 405 414 432 450 460 486 529 540 552 575 600 621 648 675 690 720 729 810 828 900 920 972 1035 1058 1080 1104 1150 1200 1215 1242 1296 1350 1380 1458 1587 1620 1656 1725 1800 1840 1863 1944 2025 2070 2116 2160 2187 2300 2430 2484 2645 2700 2760 2916 3105 3174 3240 3312 3450 3600 3645 3726 3888 4050 4140 4232 4374 4600 4761 4860 4968 5175 5290 5400 5520 5589 5832 6075 6210 6348 6480 6561 6900 7290 7452 7935 8100 8280 8464 8748 9200 9315 9522 9720 9936 10350 10580 10800 10935 11178 11664 12150 12167 12420 12696 13122 13225 13800 14283 14580 14904 15525 15870 16200 16560 16767 17496 18225 18630 19044 19440 19683 20700 21160 21870 22356 23805 24300 24334 24840 25392 26244 26450 27600 27945 28566 29160 29808 31050 31740 32400 32805 33534 34992 36450 36501 37260 38088 39366 39675 41400 42320 42849 43740 44712 46575 47610 48600 48668 49680 50301 52488 52900 54675 55890 57132 58320 59049 60835 62100 63480 65610 67068 71415 72900 73002 74520 76176 78732 79350 82800 83835 85698 87480 89424 93150 95220 97200 97336 98415 100602 104976 105800 109350 109503 111780 114264 118098 119025 121670 124200 126960 128547 131220 134136 139725 142830 145800 146004 149040 150903 157464 158700 164025 167670 171396 174960 177147 182505 186300 190440 194672 196830 201204 211600 214245 218700 219006 223560 228528 236196 238050 243340 248400 251505 257094 262440 268272 279450 279841 285660 291600 292008 295245 301806 304175 314928 317400 328050 328509 335340 342792 354294 357075 365010 372600 380880 385641 393660 402408 419175 428490 437400 438012 447120 452709 472392 476100 486680 492075 503010 514188 524880 531441 547515 558900 559682 571320 584016 590490 603612 608350 634800 642735 656100 657018 670680 685584 708588 714150 730020 745200 754515 771282 787320 804816 838350 839523 856980 874800 876024 885735 905418 912525 944784 952200 973360 984150 985527 1006020 1028376 1062882 1071225 1095030 1117800 1119364 1142640 1156923 1180980 1207224 1216700 1257525 1285470 1312200 1314036 1341360 1358127 1399205 1417176 1428300 1460040 1476225 1509030 1542564 1574640 1594323 1642545 1676700 1679046 1713960 1752048 1771470 1810836 1825050 1904400 1928205 1968300 1971054 2012040 2056752 2125764 2142450 2190060 2235600 2238728 2263545 2313846 2361960 2414448 2433400 2515050 2518569 2570940 2624400 2628072 2657205 2716254 2737575 2798410 2834352 2856600 2920080 2952450 2956581 3018060 3085128 3188646 3213675 3285090 3353400 3358092 3427920 3470769 3542940 3621672 3650100 3772575 3856410 3936600 3942108 4024080 4074381 4197615 4251528 4284900 4380120 4428675 4477456 4527090 4627692 4723920 4782969 4866800 4927635 5030100 5037138 5141880 5256144 5314410 5432508 5475150 5596820 5713200 5784615 5904900 5913162 6036120 6170256 6377292 6427350 6436343 6570180 6706800 6716184 6790635 6941538 6996025 7085880 7243344 7300200 7545150 7555707 7712820 7873200 7884216 7971615 8148762 8212725 8395230 8503056 8569800 8760240 8857350 8869743 9054180 9255384 9565938 9641025 9855270 10060200 10074276 10283760 10412307 10628820 10865016 10950300 11193640 11317725 11569230 11809800 11826324 12072240 12223143 12592845 12754584 12854700 12872686 13140360 13286025 13432368 13581270 13883076 13992050 14171760 14348907 14600400 14782905 15090300 15111414 15425640 15768432 15943230 16297524 16425450 16790460 17139600 17353845 17714700 17739486 18108360 18510768 19131876 19282050 19309029 19710540 20120400 20148552 20371905 20824614 20988075 21257640 21730032 21900600 22387280 22635450 22667121 23138460 23619600 23652648 23914845 24446286 24638175 25185690 25509168 25709400 25745372 26280720 26572050 26609229 27162540 27766152 27984100 28697814 28923075 29565810 30180600 30222828 30851280 31236921 31886460 32181715 32595048 32850900 33580920 33953175 34707690 35429400 35478972 36216720 36669429 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156184605 159432300 159655374 160908575 162975240 166596912 167904600 172186884 173538450 173781261 177394860 181083600 181336968 183347145 187421526 188892675 191318760 193090290 195570288 197105400 201485520 203719050 204004089 208246140 212576400 212873832 215233605 220016574 221743575 226671210 229582512 231384600 231708348 236526480 239148450 239483061 244462860 249895368 251856900 257453720 258280326 260307675 266092290 271625400 272005452 277661520 281132289 286978140 289635435 293355432 295658100 302228280 305578575 308944464 312369210 318864600 319310748 321817150 325950480 330024861 335809200 340006815 344373768 347076900 347562522 354789720 358722675 362673936 366694290 374843052 377785350 382637520 386180580 387420489 394210800 399138435 407438100 408008178 416492280 425747664 430467210 440033148 443487150 453342420 462769200 463416696 468553815 478296900 478966122 482725725 488925720 499790736 503713800 514907440 516560652 520615350 521343783 532184580 543250800 544010904 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683151462270 698332605876 703814107050 712853699760 734414720400 743594904405 759057180300 760119235614 775925117640 793167898032 819781754724 826216560450 844576928460 862139019600 872915757345 891067124700 892313885286 910868616360 931110141168 938418809400 969906397050 991459872540 1012076240400 1013492314152 1024727193405 1047498908814 1055721160575 1093042339632 1101622080600 1126102571280 1138585770450 1140178853421 1163887676460 1188089499600 1189751847048 1239324840675 1266865392690 1293208529400 1321946496720 1338470827929 1366302924540 1396665211752 1407628214100 1454859595575 1487189808810 1518114360600 1520238471228 1551850235280 1571248363221 1639563509448 1652433120900 1689153856920 1707878655675 1745831514690 1782134249400 1784627770572 1821737232720 1876837618800 1900298089035 1939812794100 1982919745080 2026984628304 2049454386810 2094997817628 2111442321150 2203244161200 2230784713215 2277171540900 2280357706842 2327775352920 2379503694096 2478649681350 2533730785380 2586417058800 2618747272035 2676941655858 2732605849080 2793330423504 2815256428200 2909719191150 2974379617620 3036228721200 3040476942456 3142496726442 3167163481725 3279127018896 3304866241800 3378307713840 3415757311350 3420536560263 3491663029380 3564268498800 3569255541144 3717974522025 3800596178070 3879625588200 3965839490160 4015412483787 4098908773620 4189995635256 4222884642300 4364578786725 4461569426430 4554343081800 4560715413684 4655550705840 4713745089663 4957299362700 5067461570760 5123635967025 5237494544070 5353883311716 5465211698160 5630512856400 5700894267105 5819438382300 5948759235240 6080953884912 6284993452884 6334326963450 6609732483600 6692354139645 6831514622700 6841073120526 6983326058760 7138511082288 7435949044050 7601192356140 7759251176400 7856241816105 8030824967574 8197817547240 8379991270512 8445769284600 8729157573450 8923138852860 9108686163600 9121430827368 9427490179326 9501490445175 9914598725400 10134923141520 10247271934050 10261609680789 10474989088140 10707766623432 11153923566075 11401788534210 11638876764600 11897518470480 12046237451361 12569986905768 12668653926900 13093736360175 13384708279290 13663029245400 13682146241052 13966652117520 14871898088100 15202384712280 15712483632210 16061649935148 16395635094480 16891538569200 17102682801315 17458315146900 17846277705720 18242861654736 18854980358652 19002980890350 19829197450800 20077062418935 20494543868100 20523219361578 20949978176280 21415533246864 22307847132150 22803577068420 23277753529200 23568725448315 24092474902722 25139973811536 25337307853800 26187472720350 26769416558580 27326058490800 27364292482104 28504471335525 29743796176200 30404769424560 30784829042367 31424967264420 32123299870296 33461770698225 34205365602630 34916630293800 35692555411440 36138712354083 37709960717304 38005961780700 39281209080525 40154124837870 40989087736200 41046438723156 41899956352560 44615694264300 45607154136840 47137450896630 48184949805444 50674615707600 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307848290423670 314249672644200 321232998702960 342053656026300 361387123540830 369417948508404 377099607173040 401541248378700 410464387231560 433664548248996 456071541368400 461772435635505 471374508966300 481849498054440 492557264677872 513080484039450 535388331171600 542080685311245 554126922762606 578219397665328 602311872568050 615696580847340 628499345288400 684107312052600 722774247081660 738835897016808 769620726059175 803082496757400 820928774463120 831190384143909 867329096497992 903467808852075 923544871271010 942749017932600 963698996108880 1026160968078900 1084161370622490 1108253845525212 1204623745136100 1231393161694680 1368214624105200 1385317306906515 1445548494163320 1477671794033616 1539241452118350 1606164993514800 1662380768287818 1734658192995984 1806935617704150 1847089742542020 1885498035865200 2052321936157800 2168322741244980 2216507691050424 2308862178177525 2409247490272200 2462786323389360 2493571152431727 2710403426556225 2770634613813030 2891096988326640 3078482904236700 3324761536575636 3613871235408300 3694179485084040 4104643872315600 4155951920719545 4336645482489960 4433015382100848 4617724356355050 4818494980544400 4987142304863454 5420806853112450 5541269227626060 6156965808473400 6649523073151272 6926586534532575 7227742470816600 7388358970168080 8311903841439090 8673290964979920 9235448712710100 9974284609726908 10841613706224900 11082538455252120 12313931616946800 12467855762158635 13299046146302544 13853173069065150 14455484941633200 16623807682878180 18470897425420200 19948569219453816 20779759603597725 21683227412449800 22165076910504240 24935711524317270 27706346138130300 33247615365756360 36941794850840400 39897138438907632 41559519207195450 43366454824899600 49871423048634540 55412692276260600 62339278810793175 66495230731512720 83119038414390900 99742846097269080 110825384552521200 124678557621586350 166238076828781800 199485692194538160 249357115243172700 332476153657563600 498714230486345400 997428460972690800
- Sum of all divisors σ(n): 3757868370168173352
- Sum of proper divisors (its aliquot sum) s(n): 2760439909195482552
- 997428460972690800 is an abundant number, because the sum of its proper divisors (2760439909195482552) is greater than itself. Its abundance is 1763011448222791752
Bases of 997428460972690800
- Binary: 1101110101111001001111100110100100010010010001001101011100002
- Hexadecimal: 0xDD793E691244D70
- Base-36: 7KT2VP9ZFR00
Squares and roots of 997428460972690800
- 997428460972690800 squared (9974284609726908002) is 994863534758350574346463392404640000
- 997428460972690800 cubed (9974284609726908003) is 992305204351872693025436314774056726383183205312000000
-
The
square root of 997428460972690800 is 998713402.8201938575 -
The
cube root of 997428460972690800 is 999142.0845157329
Scales and comparisons
How big is 997428460972690800?- 997,428,460,972,690,800 seconds is equal to 31,715,139,810 years, 6 weeks, 5 days, 15 hours.
-
To count from 1 to 997,428,460,972,690,800 would take you about ninety-five billion, one hundred forty-five million, four hundred nineteen thousand, four hundred thirty 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 997428460972690800 cubic inches would be around 83261.8 feet tall.
Recreational maths with 997428460972690800
- 997428460972690800 backwards is 008096279064824799
- 997428460972690800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 997428460972690800's digits is 90
- More coming soon!
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"Number 997428460972690800 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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The information we have on file for 997428460972690800 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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