137428456387568640
137,428,456,387,568,640 is an even composite number composed of seven prime numbers multiplied together.
137428456387568640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 137428456387568640:
210 × 3 × 5 × 7 × 97 × 1912 × 6012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 97 × 191 × 191 × 601 × 601)See below for interesting mathematical facts about the number 137428456387568640 from the Numbermatics database.
Names of 137428456387568640
- Cardinal: 137428456387568640 can be written as One hundred thirty-seven quadrillion, four hundred twenty-eight trillion, four hundred fifty-six billion, three hundred eighty-seven million, five hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3742845638756864 × 1017
Factors of 137428456387568640
Divisors of 137428456387568640
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 97 105 112 120 128 140 160 168 191 192 194 210 224 240 256 280 291 320 336 382 384 388 420 448 480 485 512 560 573 582 601 640 672 679 764 768 776 840 896 955 960 970 1024 1120 1146 1164 1202 1280 1337 1344 1358 1455 1528 1536 1552 1680 1792 1803 1910 1920 1940 2037 2240 2292 2328 2404 2560 2674 2688 2716 2865 2910 3005 3056 3072 3104 3360 3395 3584 3606 3820 3840 3880 4011 4074 4207 4480 4584 4656 4808 5120 5348 5376 5432 5730 5820 6010 6112 6208 6685 6720 6790 7168 7212 7640 7680 7760 8022 8148 8414 8960 9015 9168 9312 9616 10185 10696 10752 10864 11460 11640 12020 12224 12416 12621 13370 13440 13580 14424 15280 15360 15520 16044 16296 16828 17920 18030 18336 18527 18624 19232 20055 20370 21035 21392 21504 21728 22920 23280 24040 24448 24832 25242 26740 26880 27160 28848 30560 31040 32088 32592 33656 35840 36060 36481 36672 37054 37248 38464 40110 40740 42070 42784 43456 45840 46560 48080 48896 49664 50484 53480 53760 54320 55581 57696 58297 61120 62080 63105 64176 65184 67312 72120 72962 73344 74108 74496 76928 80220 81480 84140 85568 86912 91680 92635 93120 96160 97792 99328 100968 106960 107520 108640 109443 111162 114791 115392 116594 122240 124160 126210 128352 129689 130368 134624 144240 145924 146688 148216 148992 153856 160440 162960 168280 171136 173824 174891 182405 183360 185270 186240 192320 195584 201936 213920 217280 218886 222324 229582 230784 233188 244480 248320 252420 255367 256704 259378 260736 269248 277905 288480 291485 291848 293376 296432 297984 307712 320880 325920 336560 342272 344373 347648 349782 361201 364810 366720 370540 372480 384640 389067 403872 408079 427840 434560 437772 444648 459164 461568 466376 488960 496640 504840 510734 513408 518756 521472 538496 547215 555810 573955 576960 582970 583696 586752 592864 615424 641760 648445 651840 673120 684544 688746 695296 699564 722402 729620 733440 741080 744960 766101 769280 778134 803537 807744 816158 855680 869120 874455 875544 889296 918328 923136 932752 977920 1009680 1021468 1026816 1037512 1042944 1076992 1083603 1094430 1111620 1147910 1153920 1165940 1167392 1185728 1224237 1276835 1283520 1296890 1303680 1346240 1369088 1377492 1399128 1444804 1459240 1466880 1482160 1489920 1532202 1538560 1556268 1607074 1615488 1632316 1711360 1721865 1738240 1748910 1751088 1778592 1806005 1836656 1846272 1865504 1945335 2019360 2040395 2042936 2053632 2075024 2085888 2153984 2167206 2188860 2223240 2295820 2307840 2331880 2334784 2371456 2410611 2448474 2528407 2553670 2567040 2593780 2607360 2692480 2754984 2798256 2889608 2918480 2933760 2964320 3064404 3077120 3112536 3214148 3230976 3264632 3422720 3443730 3476480 3497820 3502176 3538657 3557184 3612010 3673312 3731008 3830505 3890670 4017685 4038720 4080790 4085872 4107264 4150048 4307968 4334412 4377720 4446480 4591640 4615680 4663760 4669568 4742912 4821222 4896948 5056814 5107340 5134080 5187560 5214720 5384960 5418015 5509968 5596512 5779216 5836960 5928640 6121185 6128808 6225072 6428296 6461952 6529264 6845440 6887460 6995640 7004352 7077314 7114368 7224020 7346624 7462016 7585221 7661010 7781340 8035370 8077440 8161580 8171744 8300096 8668824 8755440 8892960 9183280 9231360 9327520 9339136 9485824 9642444 9793896 10113628 10214680 10268160 10375120 10429440 10615971 10769920 10836030 11019936 11134727 11193024 11558432 11673920 11857280 12053055 12242370 12257616 12450144 12642035 12856592 12923904 13058528 13774920 13991280 14008704 14154628 14228736 14448040 14693248 14924032 15170442 15322020 15562680 16070740 16154880 16323160 16343488 16600192 17337648 17510880 17693285 17785920 18366560 18655040 18678272 18971648 19284888 19587792 20227256 20429360 20536320 20750240 21231942 21539840 21672060 21925081 22039872 22269454 22386048 23116864 23347840 23714560 24106110 24484740 24515232 24770599 24900288 25284070 25713184 26117056 27549840 27982560 28017408 28309256 28457472 28896080 29386496 29848064 30340884 30644040 31125360 32141480 32309760 32646320 32686976 33200384 33404181 34675296 35021760 35036497 35386570 35571840 36733120 37310080 37356544 37926105 38569776 39175584 40454512 40858720 41500480 42463884 43344120 43850162 44079744 44538908 44772096 46233728 46695680 47429120 48212220 48969480 49030464 49541198 49800576 50568140 51426368 52234112 53079855 55099680 55673635 55965120 56034816 56618512 56914944 57792160 58772992 59696128 60681768 61288080 62250720 64282960 64619520 65292640 65373952 65775243 66400768 66808362 68989391 69350592 70043520 70072994 70773140 71143680 73466240 74311797 74620160 75852210 77139552 77943089 78351168 80909024 81717440 83000960 84927768 86688240 87700324 88159488 89077816 89544192 92467456 93391360 94858240 96424440 97938960 98060928 99082396 99601152 101136280 102852736 104468224 105109491 106159710 109625405 110199360 111347270 111930240 112069632 113237024 115584320 117545984 121363536 122576160 123852995 124501440 128565920 130585280 130747904 131550486 132801536 133616724 137978782 138701184 140087040 140145988 141546280 142287360 146932480 148623594 149240320 151704420 153475567 154279104 155886178 156702336 161818048 163434880 166001920 167020905 169855536 173376480 175182485 175400648 176318976 178155632 179088384 184934912 186782720 192848880 195877920 196121856 198164792 199202304 202272560 205705472 206968173 208936448 210218982 212319420 219250810 220398720 222694540 223860480 226474048 231168640 233829267 242727072 245152320 245255479 247705990 249002880 257131840 261170560 261495808 263100972 267233448 275957564 277402368 280174080 280291976 283092560 284574720 293864960 297247188 298480640 303408840 306951134 308558208 311772356 313404672 323636096 326869760 328876215 332003840 334041810 339711072 344946955 346752960 350364970 350801296 352637952 356311264 369869824 371558985 385697760 389715445 391755840 392243712 396329584 398404608 404545120 411410944 413936346 417872896 420437964 424638840 438501620 440797440 445389080 447720960 452948096 460426701 462337280 467658534 482925737 485454144 490304640 490510958 495411980 498005760 514263680 522341120 525547455 526201944 534466896 551915128 554804736 560348160 560583952 566185120 587729920 594494376 606817680 613902268 617116416 623544712 626809344 647272192 653739520 657752430 664007680 668083620 679422144 689893910 693505920 700729940 701602592 712622528 735766437 743117970 767377835 771395520 779430890 783511680 784487424 792659168 809090240 822821888 827872692 840875928 849277680 877003240 881594880 890778160 895441920 905896192 920853402 924674560 935317068 965851474 970908288 980609280 981021916 990823960 996011520 1028527360 1034840865 1044682240 1051094910 1052403888 1068933792 1103830256 1109609472 1121167904 1132370240 1169146335 1188988752 1213635360 1226277395 1227804536 1234232832 1247089424 1253618688 1294544384 1307479040 1315504860 1336167240 1358844288 1379787820 1387011840 1401459880 1403205184 1425245056 1448777211 1471532874 1486235940 1534755670 1542791040 1558861780 1567023360 1585318336 1618180480 1655745384 1681751856 1698555360 1754006480 1763189760 1781556320 1811792384 1841706804 1849349120 1870634136 1931702948 1941816576 1961218560 1962043832 1981647920 1992023040 2057054720 2069681730 2089364480 2102189820 2104807776 2126732857 2137867584 2207660512 2242335808 2264740480 2302133505 2338292670 2377977504 2414628685 2427270720 2452554790 2455609072 2468465664 2494178848 2589088768 2631009720 2672334480 2717688576 2759575640 2774023680 2802919760 2806410368 2850490112 2897554422 2943065748 2972471880 3069511340 3085582080 3117723560 3134046720 3170636672 3236360960 3311490768 3363503712 3397110720 3508012960 3563112640 3623584768 3678832185 3683413608 3741268272 3863405896 3883633152 3922437120 3924087664 3963295840 4114109440 4139363460 4204379640 4209615552 4253465714 4275735168 4415321024 4484671616 4529480960 4604267010 4676585340 4755955008 4829257370 4854541440 4905109580 4911218144 4988357696 5262019440 5344668960 5435377152 5519151280 5548047360 5605839520 5612820736 5700980224 5795108844 5886131496 5944943760 6139022680 6171164160 6235447120 6268093440 6341273344 6380198571 6472721920 6622981536 6691970927 6727007424 6794221440 7016025920 7126225280 7243886055 7357664370 7366827216 7482536544 7726811792 7767266304 7848175328 7926591680 8278726920 8408759280 8419231104 8506931428 8551470336 8830642048 8969343232 9058961920 9208534020 9353170680 9511910016 9658514740 9709082880 9810219160 9822436288 9976715392 10524038880 10633664285 10689337920 10870754304 11038302560 11211679040 11225641472 11401960448 11590217688 11772262992 11889887520 12278045360 12342328320 12470894240 12682546688 12760397142 12945443840 13176973681 13245963072 13383941854 13454014848 13588442880 14032051840 14252450560 14487772110 14715328740 14733654432 14887129999 14965073088 15453623584 15696350656 15853183360 16557453840 16817518560 16838462208 17013862856 17102940672 17661284096 17938686464 18117923840 18417068040 18706341360 19023820032 19317029480 19418165760 19620438320 19644872576 19953430784 20075912781 21048077760 21267328570 21378675840 22076605120 22423358080 22451282944 23180435376 23544525984 23779775040 24556090720 24941788480 25365093376 25520794284 26353947362 26491926144 26767883708 26908029696 27176885760 28064103680 28504901120 28975544220 29430657480 29467308864 29774259998 29930146176 30907247168 31392701312 31706366720 31900992855 33114907680 33459854635 33635037120 33676924416 34027725712 34205881344 35322568192 35877372928 36834136080 37412682720 38047640064 38634058960 38836331520 39240876640 39289745152 39530921043 39906861568 40151825562 42096155520 42534657140 42757351680 44153210240 44661389997 44846716160 46360870752 46843796489 47089051968 47559550080 49112181440 49883576960 51041588568 52707894724 52983852288 53535767416 53816059392 54353771520 56128207360 57009802240 57951088440 58861314960 58934617728 59548519996 59860292352 61814494336 62785402624 63412733440 63801985710 65884868405 66229815360 66919709270 67270074240 67353848832 68055451424 70645136384 73668272160 74435649995 74825365440 76095280128 77268117920 78481753280 78579490304 79061842086 79813723136 80303651124 84192311040 85069314280 85514703360 88306420480 89322779994 89693432320 92238815767 92721741504 93687592978 94178103936 95119100160 98224362880 99767153920 100379563905 102083177136 105415789448 105967704576 107071534832 107632118784 112256414720 115902176880 117722629920 117869235456 119097039992 119720584704 123628988672 125570805248 126825466880 127603971420 131769736810 132459630720 133839418540 134540148480 136110902848 140531389467 147336544320 148871299990 149650730880 154536235840 156963506560 157158980608 158123684172 160607302248 168384622080 170138628560 171029406720 176612840960 178645559988 179386864640 184477631534 185443483008 187375185956 188356207872 190238200320 196448725760 197654605215 199534307840 200759127810 204166354272 210831578896 211935409152 214143069664 223306949985 231804353760 234218982445 235445259840 235738470912 238194079984 239441169408 247257977344 251141610496 255207942840 263539473620 264919261440 267678837080 269080296960 272221805696 276716447301 281062778934 294673088640 297742599980 299301461760 309072471680 313927013120 316247368344 321214604496 336769244160 340277257120 353225681920 357291119976 368955263068 370886966016 374750371912 376712415744 380476400640 392897451520 395309210430 399068615680 401518255620 408332708544 421663157792 428286139328 446613899970 461194078835 463608707520 468437964890 470890519680 471476941824 476388159968 494515954688 510415885680 527078947240 529838522880 535357674160 538160593920 544443611392 553432894602 562125557868 589346177280 595485199960 598602923520 618144943360 627854026240 632494736688 642429208992 680554514240 702656947335 714582239952 737910526136 741773932032 749500743824 753424831488 785794903040 790618420860 803036511240 816665417088 843326315584 856572278656 893227799940 922388157670 927217415040 936875929780 941781039360 952776319936 1020831771360 1054157894480 1059677045760 1070715348320 1088887222784 1106865789204 1124251115736 1178692354560 1190970399920 1197205847040 1236289886720 1255708052480 1264989473376 1278166447057 1284858417984 1361109028480 1383582236505 1405313894670 1429164479904 1475821052272 1483547864064 1499001487648 1581236841720 1606073022480 1633330834176 1686652631168 1713144557312 1786455599880 1844776315340 1854434830080 1873751859560 1883562078720 1905552639872 2041663542720 2108315788960 2141430696640 2177774445568 2213731578408 2248502231472 2357384709120 2381940799840 2472579773440 2529978946752 2556332894114 2569716835968 2722218056960 2767164473010 2810627789340 2858328959808 2951642104544 2998002975296 3162473683440 3212146044960 3266661668352 3373305262336 3426289114624 3572911199760 3689552630680 3708869660160 3747503719120 3767124157440 3811105279744 3834499341171 4083327085440 4216631577920 4282861393280 4427463156816 4497004462944 4763881599680 5059957893504 5112665788228 5139433671936 5444436113920 5534328946020 5621255578680 5716657919616 5903284209088 5996005950592 6324947366880 6390832235285 6424292089920 6533323336704 6746610524672 6852578229248 7145822399520 7379105261360 7417739320320 7495007438240 7622210559488 7668998682342 8166654170880 8433263155840 8565722786560 8854926313632 8947165129399 8994008925888 9527763199360 10119915787008 10225331576456 10278867343872 10888872227840 11068657892040 11242511157360 11433315839232 11806568418176 11992011901184 12649894733760 12781664470570 12848584179840 13493221049344 14291644799040 14758210522720 14990014876480 15244421118976 15337997364684 16333308341760 16866526311680 17131445573120 17709852627264 17894330258798 17988017851776 19055526398720 19172496705855 20239831574016 20450663152912 20557734687744 22137315784080 22485022314720 22866631678464 23613136836352 23984023802368 25299789467520 25563328941140 25697168359680 26841495388197 28583289598080 29516421045440 29980029752960 30675994729368 32666616683520 33733052623360 34262891146240 35419705254528 35788660517596 35976035703552 38111052797440 38344993411710 40479663148032 40901326305824 44274631568160 44735825646995 44970044629440 45733263356928 47226273672704 47968047604736 50599578935040 51126657882280 51394336719360 53682990776394 57166579196160 59032842090880 59960059505920 61351989458736 67466105246720 70839410509056 71577321035192 71952071407104 76222105594880 76689986823420 81802652611648 88549263136320 89471651293990 89940089258880 94452547345408 101199157870080 102253315764560 102788673438720 107365981552788 114333158392320 118065684181760 119920119011840 122703978917472 134207476940985 141678821018112 143154642070384 143904142814208 153379973646840 163605305223296 177098526272640 178943302587980 179880178517760 202398315740160 204506631529120 214731963105576 228666316784640 236131368363520 239840238023680 245407957834944 268414953881970 283357642036224 286309284140768 306759947293680 327210610446592 354197052545280 357886605175960 359760357035520 409013263058240 429463926211152 472262736727040 490815915669888 536829907763940 572618568281536 613519894587360 654421220893184 708394105090560 715773210351920 719520714071040 818026526116480 858927852422304 981631831339776 1073659815527880 1145237136563072 1227039789174720 1308842441786368 1416788210181120 1431546420703840 1636053052232960 1717855704844608 1963263662679552 2147319631055760 2290474273126144 2454079578349440 2863092841407680 3272106104465920 3435711409689216 3926527325359104 4294639262111520 4580948546252288 4908159156698880 5726185682815360 6544212208931840 6871422819378432 8589278524223040 9161897092504576 9816318313397760 11452371365630720 13742845638756864 17178557048446080 19632636626795520 22904742731261440 27485691277513728 34357114096892160 45809485462522880 68714228193784320 137428456387568640
- Sum of all divisors σ(n): 511050419531503488
- Sum of proper divisors (its aliquot sum) s(n): 373621963143934848
- 137428456387568640 is an abundant number, because the sum of its proper divisors (373621963143934848) is greater than itself. Its abundance is 236193506756366208
Bases of 137428456387568640
- Binary: 1111010000011111001110011111101010000001011100100000000002
- Hexadecimal: 0x1E83E73F502E400
- Base-36: 11L6BLAJKBUO
Squares and roots of 137428456387568640
- 137428456387568640 squared (1374284563875686402) is 18886580625069855728649130711449600
- 137428456387568640 cubed (1374284563875686403) is 2595553621742711532039678889165452676836353900544000
-
The
square root of 137428456387568640 is 370713442.4155248245 -
The
cube root of 137428456387568640 is 516050.5233509619
Scales and comparisons
How big is 137428456387568640?- 137,428,456,387,568,640 seconds is equal to 4,369,799,818 years, 51 weeks, 6 days, 9 hours, 4 minutes.
-
To count from 1 to 137,428,456,387,568,640 would take you about thirteen billion, one hundred nine million, three hundred ninety-nine thousand, four hundred fifty-six 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 137428456387568640 cubic inches would be around 43004.2 feet tall.
Recreational maths with 137428456387568640
- 137428456387568640 backwards is 046865783654824731
- The number of decimal digits it has is: 18
- The sum of 137428456387568640's digits is 87
- More coming soon!
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"Number 137428456387568640 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 137428456387568640 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/137428456387568640/
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The information we have on file for 137428456387568640 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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