84138142480013440
84,138,142,480,013,440 is an even composite number composed of eight prime numbers multiplied together.
84138142480013440 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 84138142480013440:
27 × 5 × 7 × 13 × 17 × 192 × 449 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 17 × 19 × 19 × 449 × 524287)See below for interesting mathematical facts about the number 84138142480013440 from the Numbermatics database.
Names of 84138142480013440
- Cardinal: 84138142480013440 can be written as Eighty-four quadrillion, one hundred thirty-eight trillion, one hundred forty-two billion, four hundred eighty million, thirteen thousand, four hundred forty.
Scientific notation
- Scientific notation: 8.413814248001344 × 1016
Factors of 84138142480013440
Divisors of 84138142480013440
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 19 20 26 28 32 34 35 38 40 52 56 64 65 68 70 76 80 85 91 95 104 112 119 128 130 133 136 140 152 160 170 182 190 208 221 224 238 247 260 266 272 280 304 320 323 340 361 364 380 416 442 448 449 455 476 494 520 532 544 560 595 608 640 646 665 680 722 728 760 832 884 896 898 910 952 988 1040 1064 1088 1105 1120 1190 1216 1235 1292 1330 1360 1444 1456 1520 1547 1615 1664 1729 1768 1796 1805 1820 1904 1976 2080 2128 2176 2210 2240 2245 2261 2380 2432 2470 2527 2584 2660 2720 2888 2912 3040 3094 3143 3230 3458 3536 3592 3610 3640 3808 3952 4160 4199 4256 4420 4480 4490 4522 4693 4760 4940 5054 5168 5320 5440 5776 5824 5837 6080 6137 6188 6286 6460 6916 7072 7184 7220 7280 7616 7633 7735 7904 8320 8398 8512 8531 8645 8840 8980 9044 9386 9520 9880 10108 10336 10640 10880 11305 11552 11648 11674 12160 12274 12376 12572 12635 12920 13832 14144 14368 14440 14560 15232 15266 15470 15715 15808 16796 17024 17062 17290 17680 17960 18088 18772 19040 19760 20216 20672 20995 21280 22610 23104 23348 23465 24548 24752 25144 25270 25840 27664 28288 28736 28880 29120 29185 29393 30532 30685 30940 31430 31616 32851 33592 34124 34580 35360 35920 36176 37544 38080 38165 39520 40432 40859 41344 41990 42560 42655 42959 45220 46208 46696 46930 49096 49504 50288 50540 51680 53431 55328 57472 57760 58240 58370 58786 59717 61064 61370 61880 62860 65702 67184 68248 69160 70720 71840 72352 75088 76160 76330 79040 79781 80864 81718 83980 85120 85310 85918 90440 93392 93860 98192 99008 99229 100576 101080 103360 106862 110656 110903 115520 116740 117572 119434 122128 122740 123760 125720 131404 134368 136496 138320 141440 143680 144704 145027 146965 150176 152660 158080 159562 161728 162089 163436 164255 167960 170620 171836 180880 186784 187720 196384 198016 198458 201152 202160 204295 206720 213724 214795 221312 221806 231040 233480 235144 238868 244256 245480 247520 251440 262808 267155 268736 272992 276640 287360 289408 290054 293930 298585 300352 305320 319124 323456 324178 326872 328510 335920 341240 343672 361760 373568 375440 392768 396916 398905 402304 404320 408590 427448 429590 443612 466960 470288 477736 488512 490960 495040 496145 502880 524287 525616 534310 537472 545984 553280 554515 558467 580108 587860 597170 600704 610640 638248 648356 653744 657020 671840 682480 687344 694603 723520 725135 747136 750880 776321 785536 793832 797810 808640 810445 817180 854896 859180 887224 933920 940576 955472 977024 981920 990080 992290 1005760 1015189 1048574 1051232 1068620 1091968 1106560 1109030 1116934 1134623 1160216 1175720 1194340 1221280 1276496 1296712 1307488 1314040 1343680 1364960 1374688 1389206 1447040 1450270 1501760 1552642 1587664 1595620 1617280 1620890 1634360 1709792 1718360 1774448 1867840 1881152 1885351 1910944 1963840 1984580 2011520 2030378 2097148 2102464 2107157 2137240 2218060 2233868 2269246 2320432 2351440 2388680 2442560 2552992 2593424 2614976 2621435 2628080 2687360 2729920 2749376 2755513 2778412 2792335 2900540 3003520 3105284 3175328 3191240 3241780 3268720 3419584 3436720 3473015 3548896 3670009 3735680 3762304 3770702 3821888 3881605 3927680 3969160 4060756 4194296 4204928 4214314 4274480 4436120 4467736 4538492 4640864 4702880 4777360 4885120 5075945 5105984 5186848 5229952 5242870 5256160 5459840 5498752 5511026 5556824 5584670 5673115 5801080 6210568 6350656 6382480 6483560 6537440 6815731 6839168 6873440 6946030 7097792 7340018 7541404 7643776 7763210 7938320 8121512 8388592 8428628 8548960 8872240 8912879 8935472 9076984 9281728 9405760 9426755 9554720 9961453 10151890 10211968 10373696 10485740 10512320 10535785 11022052 11113648 11169340 11346230 11602160 12421136 12701312 12764960 12967120 13074880 13197457 13631462 13746880 13777565 13892060 14195584 14680036 14750099 15082808 15526420 15876640 16243024 16777184 16857256 17097920 17744480 17825758 17870944 18153968 18350045 18563456 18811520 18853510 19109440 19288591 19922906 20303780 20747392 20971480 21024640 21071570 22044104 22227296 22338680 22692460 23204320 24842272 25529920 25934240 26149760 26394914 27262924 27493760 27555130 27784120 29360072 29500198 30165616 31052840 31753280 32486048 33554368 33714512 34078655 34195840 35488960 35651516 35741888 35821669 36307936 36700090 37707020 38218880 38577182 39845812 40607560 41942960 42143140 44088208 44454592 44564395 44677360 45384920 46408640 47710117 49684544 49807265 51059840 51868480 52789828 54525848 55110260 55568240 58720144 59000396 60331232 62105680 62390153 63506560 64972096 65987285 67108736 67429024 68157310 69730171 70977920 71303032 71483776 71643338 72615872 73400180 73750495 75414040 77154364 79691624 81215120 83885920 84286280 88176416 88909184 89128790 89354720 90769840 92817280 95420234 96442955 99369088 99614530 103736960 105579656 109051696 110220520 111136480 115867427 117440288 118000792 120662464 124211360 124780306 129498889 129944192 131974570 134858048 136314620 139460342 142606064 143286676 145231744 146800360 147500990 150828080 154308728 159383248 162430240 167771840 168572560 169344701 176352832 178257580 178709440 179108345 181539680 189267607 190840468 192885910 199229060 211159312 218103392 220441040 222272960 231734854 234880576 235404863 236001584 238550585 241324928 248422720 249560612 250751683 258997778 263949140 269716096 272629240 278920684 285212128 286573352 293600720 295001980 301656160 308617456 311950765 318766496 324860480 335543680 337145120 338689402 348650855 352705664 356515160 357418880 358216690 363079360 378535214 381680936 385771820 398458120 422318624 436206784 440882080 444545920 463469708 469761152 470809726 472003168 477101170 496845440 499121224 501503366 517995556 527898280 545258480 557841368 570424256 573146704 579337135 587201440 590003960 603312320 617234912 623901530 637532992 647494445 649720960 674290240 677378804 697301710 713030320 716433380 726158720 757070428 763361872 771543640 796916240 811071989 844637248 846723505 872413568 881764160 906492223 926939416 941619452 944006336 946338035 954202340 998242448 1003006732 1035991112 1055796560 1090516960 1115682736 1140848512 1146293408 1158674270 1174402880 1177024315 1180007920 1185412907 1206624640 1234469824 1247803060 1253758415 1275065984 1294988890 1324873249 1348580480 1354757608 1394603420 1426060640 1432866760 1514140856 1526723744 1543087280 1593832480 1622143978 1647834041 1689274496 1693447010 1763528320 1812984446 1853878832 1883238904 1888012672 1892676070 1908404680 1996484896 2006013464 2071982224 2111593120 2181033920 2201481113 2231365472 2292586816 2317348540 2348805760 2354048630 2360015840 2370825814 2460478891 2468939648 2495606120 2507516830 2589977780 2649746498 2709515216 2789206840 2852121280 2865733520 3028281712 3053447488 3060263219 3086174560 3187664960 3217549319 3244287956 3295668082 3386894020 3625968892 3707757664 3766477808 3785352140 3816809360 3992969792 4001882671 4012026928 4055359945 4143964448 4223186240 4362067840 4402962226 4462730944 4472692397 4532461115 4585173632 4634697080 4708097260 4720031680 4741651628 4920957782 4991212240 5015033660 5179955560 5299492996 5419030432 5578413680 5704242560 5731467040 5927064535 6056563424 6106894976 6120526438 6172349120 6375329920 6435098638 6488575912 6591336164 6624366245 6773788040 7251937784 7415515328 7532955616 7570704280 7633618720 7985939584 8003765342 8024053856 8110719890 8239170205 8287928896 8446372480 8805924452 8925461888 8945384794 9064922230 9269394160 9416194520 9440063360 9483303256 9841915564 9982424480 10030067320 10359911120 10598985992 10838060864 11007405565 11156827360 11462934080 11854129070 12113126848 12241052876 12302394455 12344698240 12870197276 12977151824 13182672328 13248732490 13547576080 14503875568 14831030656 15065911232 15141408560 15267237440 15301316095 15410367791 16007530684 16048107712 16087746595 16221439780 16478340410 16575857792 17223352237 17611848904 17890769588 18129844460 18538788320 18832389040 18966606512 19683831128 19964848960 20009413355 20060134640 20719822240 21197971984 21421842533 21676121728 22014811130 22313654720 22363461985 22522845233 22925868160 23708258140 24226253696 24482105752 24604788910 25740394552 25954303648 26365344656 26497464980 27095152160 28013178697 29007751136 30131822464 30282817120 30534474880 30602632190 30820735582 31308846779 32015061368 32096215424 32175493190 32442879560 32956680820 34446704474 35223697808 35781539176 36259688920 37077576640 37664778080 37933213024 39367662256 39929697920 40018826710 40120269280 41439644480 41828141147 42395943968 42843685066 44029622260 44627309440 44726923970 45045690466 47416516280 48964211504 49209577820 51480789104 51908607296 52024474723 52730689312 52994929960 54190304320 56026357394 58015502272 58145001161 60565634240 61205264380 61641471164 62617693558 64030122736 64350986380 64885759120 65913361640 68893408948 70447395616 71563078352 72519377840 74155153280 75329556160 75866426048 76035770749 77051838955 78735324512 80037653420 80240538560 82879288960 83656282294 84791887936 84981155543 85687370132 86116761185 88059244520 89453847940 90091380932 94833032560 97928423008 98419155640 102961578208 103817214592 104048949446 105461378624 105989859920 107109212665 108380608640 112052714788 112614226165 116031004544 116290002322 121131268480 122410528760 123282942328 125235387116 128060245472 128701972760 129771518240 131826723280 137786817896 140065893485 140894791232 143126156704 145038755680 150659112320 151732852096 152071541498 154103677910 156544233895 157470649024 160075306840 160481077120 167312564588 169583775872 169962311086 171374740264 172233522370 176118489040 178907695880 180182761864 189666065120 195856846016 196838311280 205923156416 208097898892 209140705735 210922757248 211979719840 214218425330 224105429576 225228452330 232580004644 244821057520 246565884656 250470774232 256120490944 257403945520 259543036480 260122373615 263653446560 275573635792 280131786970 281789582464 286252313408 290077511360 290725005805 292796988029 304143082996 308207355820 313088467790 314941298048 320150613680 334625129176 339924622172 342749480528 344467044740 352236978080 357815391760 360365523728 364171323061 379332130240 380178853745 391713692032 393676622560 407015008127 411846312832 416195797784 418281411470 423959439680 424905777715 428436850660 448210859152 450456904660 465160009288 489642115040 493131769312 500941548464 512240981888 514807891040 519086072960 520244747230 527306893120 532250395243 551147271584 560263573940 572504626816 580155022720 581450011610 585593976058 594868088801 608286165992 616414711640 626176935580 640301227360 669250258352 679849244344 685498961056 688934089480 704473956160 715630783520 720731047456 728342646122 758664260480 760357707490 787353245120 814030016254 832391595568 836562822940 847918879360 849811555430 856873701320 896421718304 900913809320 930320018576 979284230080 986263538624 988465019737 1001883096928 1029615782080 1040489494460 1054613786240 1064500790486 1102294543168 1104755022059 1120527147880 1162900023220 1171187952116 1189736177602 1216572331984 1232829423280 1252353871160 1280602454720 1338500516704 1359698488688 1370997922112 1377868178960 1408947912320 1431261567040 1441462094912 1444679644231 1456685292244 1463984940145 1520715414980 1574706490240 1628060032508 1664783191136 1673125645880 1699623110860 1713747402640 1792843436608 1801827618640 1820856615305 1860640037152 1958568460160 1972527077248 1976930039474 2003766193856 2035075040635 2059231564160 2080978988920 2129001580972 2204589086336 2209510044118 2241054295760 2325800046440 2342375904232 2379472355204 2433144663968 2465658846560 2504707742320 2561204909440 2661251976215 2677001033408 2719396977376 2741995844224 2755736357920 2862523134080 2882924189824 2889359288462 2913370584488 2927969880290 2974340444005 3041430829960 3256120065016 3329566382272 3346251291760 3399246221720 3427494805280 3585686873216 3603655237280 3641713230610 3721280074304 3953860078948 4007532387712 4070150081270 4161957977840 4258003161944 4419020088236 4482108591520 4651600092880 4684751808464 4758944710408 4866289327936 4931317693120 4942325098685 5009415484640 5322503952430 5354002066816 5438793954752 5511472715840 5523775110295 5778718576924 5826741168976 5855939760580 5948680888010 6082861659920 6512240130032 6659132764544 6692502583520 6798492443440 6854989610560 6919255138159 7207310474560 7223398221155 7283426461220 7442560148608 7733285154413 7907720157896 8140300162540 8323915955680 8516006323888 8838040176472 8964217183040 9303200185760 9369503616928 9517889420816 9732578655872 9862635386240 9884650197370 10018830969280 10112757509617 10645007904860 10877587909504 11022945431680 11047550220590 11557437153848 11653482337952 11711879521160 11897361776020 12165723319840 13024480260064 13385005167040 13596984886880 13709979221120 13838510276318 14414620949120 14446796442310 14566852922440 15466570308826 15815440315792 16280600325080 16647831911360 17032012647776 17676080352944 17928434366080 18606400371520 18739007233856 18780835375003 19035778841632 19769300394740 20037661938560 20225515019234 21290015809720 22095100441180 23114874307696 23306964675904 23423759042320 23794723552040 24331446639680 26048960520128 26770010334080 27193969773760 27677020552636 28893592884620 29133705844880 30933140617652 31630880631584 32561200650160 33295663822720 34064025295552 34596275690795 35352160705888 37212800743040 37478014467712 37561670750006 38071557683264 38666425772065 39538600789480 40451030038468 42580031619440 44190200882360 46229748615392 46613929351808 46847518084640 47589447104080 48662893279360 50563787548085 52097921040256 54387939547520 55354041105272 57787185769240 58267411689760 61866281235304 63261761263168 65122401300320 68128050591104 69192551381590 70704321411776 75123341500012 76143115366528 77332851544130 79077201578960 80902060076936 85160063238880 88380401764720 92459497230784 93695036169280 93904176875015 95178894208160 101127575096170 110708082210544 115574371538480 116534823379520 123732562470608 126523522526336 130244802600640 131465847625021 138385102763180 141408642823552 150246683000024 154665703088260 158154403157920 161804120153872 170320126477760 176760803529440 184918994461568 187390072338560 187808353750030 190357788416320 202255150192340 221416164421088 231148743076960 233069646759040 247465124941216 260489605201280 262931695250042 276770205526360 300493366000048 309331406176520 316308806315840 323608240307744 340640252955520 353521607058880 375616707500060 380715576832640 404510300384680 442832328842176 462297486153920 494930249882432 525863390500084 553540411052720 600986732000096 618662812353040 632617612631680 647216480615488 657329238125105 707043214117760 751233415000120 809020600769360 885664657684352 924594972307840 989860499764864 1051726781000168 1107080822105440 1201973464000192 1237325624706080 1294432961230976 1314658476250210 1502466830000240 1618041201538720 2103453562000336 2214161644210880 2403946928000384 2474651249412160 2629316952500420 3004933660000480 3236082403077440 4206907124000672 4428323288421760 4949302498824320 5258633905000840 6009867320000960 6472164806154880 8413814248001344 10517267810001680 12019734640001920 16827628496002688 21034535620003360 42069071240006720 84138142480013440
- Sum of all divisors σ(n): 277261370523648000
- Sum of proper divisors (its aliquot sum) s(n): 193123228043634560
- 84138142480013440 is an abundant number, because the sum of its proper divisors (193123228043634560) is greater than itself. Its abundance is 108985085563621120
Bases of 84138142480013440
- Binary: 1001010101110101100110001110111101001010100011000100000002
- Hexadecimal: 0x12AEB31DE951880
- Base-36: N0GHD1U4Y9S
Squares and roots of 84138142480013440
- 84138142480013440 squared (841381424800134402) is 7079227019987042183669862580633600
- 84138142480013440 cubed (841381424800134403) is 595633011656030707814533852938318848428411715584000
-
The
square root of 84138142480013440 is 290065755.4417850269 -
The
cube root of 84138142480013440 is 438191.8609283271
Scales and comparisons
How big is 84138142480013440?- 84,138,142,480,013,440 seconds is equal to 2,675,332,674 years, 26 weeks, 16 hours, 10 minutes, 40 seconds.
-
To count from 1 to 84,138,142,480,013,440 would take you about eight billion, twenty-five million, nine hundred ninety-eight thousand and twenty-three 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 84138142480013440 cubic inches would be around 36516 feet tall.
Recreational maths with 84138142480013440
- 84138142480013440 backwards is 04431008424183148
- The number of decimal digits it has is: 17
- The sum of 84138142480013440's digits is 55
- 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 84138142480013440 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 84138142480013440 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/84138142480013440/
Chicago style:
Numbermatics. 2024. "Number 84138142480013440 - Facts about the integer". https://numbermatics.com/n/84138142480013440/
The information we have on file for 84138142480013440 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 84138142480013440, math, Factors of 84138142480013440, curriculum, school, college, exams, university, Prime factorization of 84138142480013440, STEM, science, technology, engineering, physics, economics, calculator, eighty-four quadrillion, one hundred thirty-eight trillion, one hundred forty-two billion, four hundred eighty million, thirteen thousand, four hundred forty.