42131631279648768
42,131,631,279,648,768 is an even composite number composed of five prime numbers multiplied together.
42131631279648768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-six divisors.
Prime factorization of 42131631279648768:
212 × 3 × 116 × 13 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 11 × 11 × 11 × 11 × 13 × 53 × 53 × 53)See below for interesting mathematical facts about the number 42131631279648768 from the Numbermatics database.
Names of 42131631279648768
- Cardinal: 42131631279648768 can be written as Forty-two quadrillion, one hundred thirty-one trillion, six hundred thirty-one billion, two hundred seventy-nine million, six hundred forty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2131631279648768 × 1016
Factors of 42131631279648768
Divisors of 42131631279648768
- Number of divisors d(n): 1456
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 53 64 66 78 88 96 104 106 121 128 132 143 156 159 176 192 208 212 242 256 264 286 312 318 352 363 384 416 424 429 484 512 528 572 583 624 636 689 704 726 768 832 848 858 968 1024 1056 1144 1166 1248 1272 1331 1378 1408 1452 1536 1573 1664 1696 1716 1749 1936 2048 2067 2112 2288 2332 2496 2544 2662 2756 2809 2816 2904 3072 3146 3328 3392 3432 3498 3872 3993 4096 4134 4224 4576 4664 4719 4992 5088 5324 5512 5618 5632 5808 6144 6292 6413 6656 6784 6864 6996 7579 7744 7986 8268 8427 8448 9152 9328 9438 9984 10176 10648 11024 11236 11264 11616 12288 12584 12826 13312 13568 13728 13992 14641 15158 15488 15972 16536 16854 16896 17303 18304 18656 18876 19239 19968 20352 21296 22048 22472 22528 22737 23232 25168 25652 26624 27136 27456 27984 29282 30316 30899 30976 31944 33072 33708 33792 34606 36517 36608 37312 37752 38478 39936 40704 42592 43923 44096 44944 45056 45474 46464 50336 51304 51909 53248 54272 54912 55968 58564 60632 61798 61952 63888 66144 67416 67584 69212 70543 73034 73216 74624 75504 76956 79872 81408 83369 85184 87846 88192 89888 90948 92697 92928 100672 102608 103818 108544 109551 109824 111936 117128 121264 123596 123904 127776 132288 134832 135168 138424 141086 146068 146432 148877 149248 151008 153912 159744 161051 162816 166738 170368 175692 176384 179776 181896 185394 185856 190333 201344 205216 207636 211629 217088 219102 219648 223872 234256 242528 247192 247808 250107 255552 264576 269664 276848 282172 292136 292864 297754 298496 302016 307824 322102 325632 333476 339889 340736 351384 352768 359552 363792 370788 371712 380666 401687 402688 410432 415272 423258 438204 439296 446631 447744 468512 483153 485056 494384 495616 500214 511104 529152 539328 553696 564344 570999 584272 585728 595508 596992 604032 615648 644204 651264 666952 679778 681472 702768 705536 719104 727584 741576 743424 761332 775973 803374 805376 820864 830544 846516 876408 878592 893262 895488 917059 937024 966306 970112 988768 1000428 1019667 1022208 1058304 1078656 1107392 1128688 1141998 1168544 1191016 1193984 1205061 1208064 1231296 1288408 1333904 1359556 1362944 1405536 1411072 1438208 1455168 1483152 1486848 1522664 1551946 1606748 1610752 1637647 1641728 1661088 1693032 1752816 1757184 1771561 1786524 1790976 1834118 1874048 1932612 1935401 1940224 1977536 2000856 2039334 2044416 2093663 2116608 2157312 2214784 2257376 2283996 2327919 2337088 2382032 2387968 2410122 2416128 2462592 2576816 2667808 2719112 2725888 2751177 2811072 2822144 2876416 2910336 2966304 3045328 3103892 3213496 3221504 3275294 3283456 3322176 3386064 3505632 3543122 3573048 3581952 3668236 3738779 3748096 3865224 3870802 3880448 3955072 4001712 4078668 4088832 4187326 4233216 4314624 4418557 4429568 4514752 4567992 4655838 4674176 4764064 4820244 4832256 4912941 4925184 5153632 5314683 5335616 5438224 5451776 5502354 5622144 5752832 5806203 5820672 5932608 6090656 6207784 6280989 6426992 6443008 6550588 6566912 6644352 6772128 7011264 7086244 7146096 7163904 7336472 7477558 7496192 7730448 7741604 7760896 7910144 8003424 8157336 8177664 8374652 8466432 8535703 8629248 8837114 8859136 9029504 9135984 9311676 9348352 9528128 9640488 9664512 9825882 9850368 10087649 10307264 10629366 10671232 10876448 11004708 11216337 11244288 11505664 11612406 11641344 11865216 12181312 12415568 12561978 12853984 13101176 13133824 13255671 13288704 13544256 14022528 14172488 14292192 14672944 14955116 14992384 15460896 15483208 15521792 15820288 16006848 16314672 16355328 16749304 17071406 17258496 17674228 17718272 18014117 18059008 18271968 18623352 18696704 19056256 19280976 19329024 19651764 19700736 20175298 20614528 21258732 21289411 21342464 21752896 22009416 22432674 22488576 23030293 23224812 23282688 23730432 24362624 24831136 25123956 25607109 25707968 26202352 26267648 26511342 26577408 27088512 28045056 28344976 28584384 29345888 29910232 29984768 30262947 30921792 30966416 31043584 31640576 32013696 32629344 33498608 34142812 34516992 35348456 35436544 36028234 36118016 36543936 37246704 37393408 38112512 38561952 39303528 39401472 40350596 41126569 41229056 42517464 42578822 42684928 43505792 44018832 44865348 44977152 46060586 46449624 46565376 47460864 48604127 48725248 49662272 50247912 51214218 51415936 52404704 53022684 53154816 54042351 54177024 56090112 56689952 57168768 58691776 59820464 59969536 60525894 61843584 61932832 63281152 63868233 64027392 65258688 66997216 68285624 69090879 70696912 70873088 72056468 72236032 73087872 74493408 74786816 76225024 77123904 78607056 78802944 80701192 82253138 82458112 85034928 85157644 85369856 87011584 88037664 89730696 89954304 92121172 92899248 93130752 93892733 94921728 97208254 97450496 99324544 100495824 102428436 102831872 104809408 106045368 106309632 108084702 108354048 110964139 112180224 113379904 114337536 117383552 119640928 121051788 123379707 123687168 123865664 126562304 127736466 128054784 130517376 133994432 136571248 138181758 141393824 144112936 144472064 145812381 146175744 148986816 149573632 152450048 154247808 157214112 161402384 164506276 164916224 170069856 170315288 170739712 174023168 176075328 179461392 179908608 184242344 185798496 187785466 189843456 194416508 194900992 198155287 198649088 200991648 204856872 205663744 209618816 212090736 212619264 216169404 216708096 221928278 224360448 226759808 228675072 234183521 234767104 239281856 242103576 246759414 247374336 247731328 255472932 256109568 261034752 267988864 273142496 276363516 281678199 282787648 288225872 288944128 291624762 292351488 297973632 304900096 308495616 314428224 322804768 329012552 329832448 332892417 340139712 340630576 341479424 348046336 352150656 358922784 368484688 371596992 375570932 379686912 388833016 389801984 396310574 397298176 401983296 409713744 411327488 419237632 424181472 432338808 433416192 443856556 448720896 452392259 453519616 457350144 468367042 469534208 478563712 484207152 493518828 494748672 495462656 510945864 512219136 522069504 534645397 535977728 546284992 552727032 563356398 565575296 576451744 583249524 584702976 594465861 595947264 609800192 616991232 628856448 645609536 658025104 659664896 665784834 680279424 681261152 696092672 702550563 704301312 717845568 736969376 743193984 751141864 777666032 779603968 792621148 794596352 803966592 819427488 822654976 838475264 848362944 864677616 866832384 887713112 904784518 907039232 914700288 936734084 939068416 957127424 968414304 987037656 989497344 990925312 1021891728 1024438272 1044139008 1069290794 1071955456 1092569984 1105454064 1126712796 1131150592 1152903488 1166499048 1169405952 1188931722 1191894528 1220605529 1233982464 1257712896 1291219072 1316050208 1331569668 1357176777 1360558848 1362522304 1392185344 1405101126 1408602624 1435691136 1473938752 1486387968 1502283728 1555332064 1585242296 1589192704 1603936191 1607933184 1638854976 1645309952 1676950528 1696725888 1729355232 1775426224 1809569036 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6415744764 6431732736 6539124471 6555419904 6707802112 6786903552 6917420928 7101704896 7238276144 7256313856 7323633174 7493872672 7657019392 7728056193 7747314432 7896301248 7927402496 8175133824 8554326352 8575643648 8718832628 8740559872 8843632512 9013702368 9049204736 9223227904 9331992384 9511453776 9535156224 9764844232 9952629698 10061703168 10304074924 10329752576 10528401664 10652557344 10857414216 10884470784 10900178432 11240809008 11268820992 11485529088 11762198734 11791510016 11891103744 12018269824 12442656512 12681938368 12831489528 12863465472 13078248942 13110839808 13573807104 13834841856 14203409792 14476552288 14647266348 14928944547 14987745344 15314038784 15456112386 15494628864 15792602496 16350267648 17108652704 17437665256 17481119744 17643298101 17687265024 18027404736 18098409472 18446455808 18663984768 19022907552 19529688464 19905259396 20123406336 20608149848 20659505152 21056803328 21305114688 21714828432 21768941568 21800356864 22481618016 22971058176 23524397468 23583020032 23782207488 23976789727 24036539648 24885313024 25363876736 25662979056 25726930944 26156497884 26221679616 27147614208 27669683712 28336206041 28406819584 28953104576 29294532696 29857889094 29975490688 30912224772 30989257728 31585204992 32700535296 34217305408 34875330512 34962239488 35286596202 35374530048 36054809472 36892911616 37327969536 38045815104 39059376928 39810518792 41216299696 41319010304 42113606656 42610229376 43429656864 43600713728 44963236032 45942116352 47048794936 47166040064 47953579454 48073079296 49770626048 50727753472 51325958112 52312995768 52443359232 54295228416 55339367424 56672412082 56813639168 57906209152 58589065392 59715778188 59950981376 61824449544 61978515456 63170409984 64692093037 65401070592 68434610816 69750661024 70573192404 70749060096 71930369181 72109618944 73785823232 74655939072 76091630208 78118753856 79621037584 82432599392 84227213312 85008618123 85220458752 86859313728 87201427456 89926472064 94097589872 94332080128 95907158908 96146158592 99541252096 101455506944 102651916224 104625991536 104886718464 110678734848 113344824164 113627278336 115812418304 117178130784 119431556376 119901962752 123648899088 123957030912 126340819968 129384186074 130802141184 136869221632 139501322048 141146384808 141498120192 143860738362 144219237888 149311878144 152183260416 156237507712 159242075168 164865198784 168454426624 170017236246 170440917504 173718627456 179852944128 188195179744 191814317816 192292317184 194076279111 199082504192 202911013888 205303832448 209251983072 221357469696 226689648328 227254556672 231624836608 234356261568 238863112752 239803925504 247297798176 252681639936 258768372148 261604282368 263744686997 273738443264 279002644096 282292769616 282996240384 287721476724 288438475776 298623756288 304366520832 311698266451 312475015424 318484150336 329730397568 340034472492 340881835008 347437254912 359705888256 376390359488 383628635632 384584634368 388152558222 405822027776 410607664896 418503966144 453379296656 454509113344 463249673216 468712523136 477726225504 479607851008 494595596352 505363279872 517536744296 527489373994 547476886528 558005288192 564585539232 575442953448 576876951552 597247512576 608733041664 623396532902 624950030848 636968300672 659460795136 680068944984 681763670016 694874509824 719411776512 752780718976 767257271264 776305116444 791234060991 811644055552 821215329792 837007932288 906758593312 926499346432 935094799353 937425046272 955452451008 959215702016 989191192704 1035073488592 1054978747988 1094953773056 1116010576384 1129171078464 1150885906896 1153753903104 1217466083328 1246793065804 1249900061696 1273936601344 1318921590272 1360137889968 1363527340032 1389749019648 1438823553024 1505561437952 1534514542528 1552610232888 1582468121982 1642430659584 1674015864576 1813517186624 1852998692864 1870189598706 1874850092544 1910904902016 1978382385408 2070146977184 2109957495976 2189907546112 2232021152768 2258342156928 2301771813792 2434932166656 2493586131608 2499800123392 2547873202688 2637843180544 2720275779936 2779498039296 2877647106048 3011122875904 3069029085056 3105220465776 3164936243964 3284861319168 3348031729152 3428680930961 3627034373248 3740379197412 3749700185088 3821809804032 3956764770816 4140293954368 4219914991952 4464042305536 4516684313856 4603543627584 4987172263216 4999600246784 5095746405376 5275686361088 5440551559872 5558996078592 6022245751808 6138058170112 6210440931552 6329872487928 6569722638336 6696063458304 6857361861922 7254068746496 7480758394824 7499400370176 7643619608064 7913529541632 8280587908736 8439829983904 8928084611072 9033368627712 9207087255168 9974344526432 10191492810752 10286042792883 10551372722176 10881103119744 12044491503616 12276116340224 12420881863104 12659744975856 13392126916608 13714723723844 14508137492992 14961516789648 14998800740352 15287239216128 15827059083264 16561175817472 16879659967808 18066737255424 18414174510336 19948689052864 20382985621504 20572085585766 21762206239488 24088983007232 24552232680448 24841763726208 25319489951712 26784253833216 27429447447688 29016274985984 29923033579296 30574478432256 31654118166528 33122351634944 33759319935616 36133474510848 36828349020672 39897378105728 41144171171532 43524412478976 49104465360896 49683527452416 50638979903424 54858894895376 58032549971968 59846067158592 61148956864512 66244703269888 67518639871232 72266949021696 73656698041344 79794756211456 82288342343064 87048824957952 98208930721792 99367054904832 101277959806848 109717789790752 116065099943936 119692134317184 132489406539776 135037279742464 147313396082688 159589512422912 164576684686128 174097649915904 198734109809664 202555919613696 219435579581504 239384268634368 264978813079552 270074559484928 294626792165376 319179024845824 329153369372256 348195299831808 397468219619328 405111839227392 438871159163008 478768537268736 540149118969856 638358049691648 658306738744512 794936439238656 810223678454784 877742318326016 957537074537472 1080298237939712 1276716099383296 1316613477489024 1620447356909568 1755484636652032 1915074149074944 2633226954978048 3240894713819136 3510969273304064 3830148298149888 5266453909956096 7021938546608128 10532907819912192 14043877093216256 21065815639824384 42131631279648768
- Sum of all divisors σ(n): 135635635480675680
- Sum of proper divisors (its aliquot sum) s(n): 93504004201026912
- 42131631279648768 is an abundant number, because the sum of its proper divisors (93504004201026912) is greater than itself. Its abundance is 51372372921378144
Bases of 42131631279648768
- Binary: 100101011010111001111110110101000011101100110000000000002
- Hexadecimal: 0x95AE7ED43B3000
- Base-36: BIUF07LF3EO
Squares and roots of 42131631279648768
- 42131631279648768 squared (421316312796487682) is 1775074354284278484164649443917824
- 42131631279648768 cubed (421316312796487683) is 74786778188665846480058353481052681234448574840832
-
The
square root of 42131631279648768 is 205259911.5259693567 -
The
cube root of 42131631279648768 is 347965.4237447973
Scales and comparisons
How big is 42131631279648768?- 42,131,631,279,648,768 seconds is equal to 1,339,655,553 years, 5 hours, 32 minutes, 48 seconds.
-
To count from 1 to 42,131,631,279,648,768 would take you about four billion, eighteen million, nine hundred sixty-six thousand, six hundred fifty-nine 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 42131631279648768 cubic inches would be around 28997.1 feet tall.
Recreational maths with 42131631279648768
- 42131631279648768 backwards is 86784697213613124
- 42131631279648768 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42131631279648768's digits is 78
- More coming soon!
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"Number 42131631279648768 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 42131631279648768 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/42131631279648768/
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The information we have on file for 42131631279648768 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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