2142077389105680
2,142,077,389,105,680 is an even composite number composed of six prime numbers multiplied together.
2142077389105680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 2142077389105680:
24 × 32 × 5 × 133 × 592 × 733
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 13 × 59 × 59 × 73 × 73 × 73)See below for interesting mathematical facts about the number 2142077389105680 from the Numbermatics database.
Names of 2142077389105680
- Cardinal: 2142077389105680 can be written as Two quadrillion, one hundred forty-two trillion, seventy-seven billion, three hundred eighty-nine million, one hundred five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 2.14207738910568 × 1015
Factors of 2142077389105680
Divisors of 2142077389105680
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 59 60 65 72 73 78 80 90 104 117 118 120 130 144 146 156 169 177 180 195 208 219 234 236 240 260 292 295 312 338 354 360 365 390 438 468 472 507 520 531 584 585 590 624 657 676 708 720 730 767 780 845 876 885 936 944 949 1014 1040 1062 1095 1168 1170 1180 1314 1352 1416 1460 1521 1534 1560 1690 1752 1770 1872 1898 2028 2124 2190 2197 2301 2340 2360 2535 2628 2655 2704 2832 2847 2920 3042 3068 3120 3285 3380 3481 3504 3540 3796 3835 4056 4248 4307 4380 4394 4602 4680 4720 4745 5070 5256 5310 5329 5694 5840 6084 6136 6570 6591 6760 6903 6962 7080 7592 7605 7670 8112 8496 8541 8614 8760 8788 9204 9360 9490 9971 10140 10443 10512 10620 10658 10985 11388 11505 12168 12272 12337 12921 13140 13182 13520 13806 13924 14160 14235 15184 15210 15340 15987 17082 17228 17405 17520 17576 18408 18980 19773 19942 20280 20886 21240 21316 21535 21970 22776 23010 24336 24674 25842 26280 26364 26645 27612 27848 28470 29913 30420 30680 31329 31974 32955 34164 34456 34515 34810 35152 36816 37011 37960 38763 39546 39884 40560 41772 42480 42632 42705 43070 43940 45253 45552 46020 47961 49348 49855 51684 52215 52560 52728 53290 55224 55696 55991 56940 59826 60840 61360 61685 62658 63948 64605 65910 68328 68912 69030 69277 69620 74022 75920 77526 79092 79768 79935 83544 85264 85410 86140 87880 89739 90506 92040 95922 98696 98865 99710 103368 104430 105456 106580 110448 111033 111982 113880 119652 121680 123370 125316 127896 129210 129623 131820 135759 136656 138060 138554 139240 148044 149565 155052 156645 158184 159536 159870 160381 167088 167973 170820 172280 175760 179478 181012 184080 185055 191844 193815 197392 197730 199420 206736 207831 208860 213160 222066 223964 226265 227760 239304 239805 246740 250632 254113 255792 258420 259246 263640 271518 276120 277108 278480 279955 296088 299130 310104 313290 314411 316368 319740 320762 335946 341640 344560 346385 358956 362024 370110 383688 387630 388869 389017 395460 398840 407277 415662 417720 426320 444132 447928 448695 452530 478608 479610 481143 493480 501264 503919 508226 516840 518492 527280 543036 552240 554216 555165 559910 588289 592176 598260 620208 623493 626580 628822 639480 641524 648115 671892 678795 683280 692770 717912 724048 727883 740220 762339 767376 775260 777738 778034 790920 797680 801905 814554 831324 835440 839865 888264 895856 897390 900601 905060 943233 959220 962286 986960 1007838 1016452 1033680 1036984 1039155 1086072 1108432 1110330 1119820 1166607 1167051 1176578 1196520 1246986 1253160 1257644 1270565 1278960 1283048 1296230 1343784 1357590 1385540 1435824 1443429 1455766 1480440 1524678 1550520 1555476 1556068 1572055 1581840 1603810 1629108 1662648 1679730 1764867 1776528 1794780 1801202 1810120 1886466 1918440 1924572 1944345 1945085 2015676 2032904 2036385 2073968 2078310 2172144 2183649 2220660 2239640 2287017 2333214 2334102 2353156 2393040 2405715 2493972 2506320 2515288 2519595 2541130 2566096 2592460 2687568 2701803 2715180 2771080 2829699 2886858 2911532 2941445 2960880 3049356 3101040 3110952 3112136 3117465 3144110 3207620 3258216 3303469 3325296 3359460 3501153 3529734 3589560 3602404 3620240 3639415 3772932 3811695 3836880 3849144 3888690 3890170 4031352 4065808 4072770 4087343 4156620 4367298 4441320 4479280 4503005 4574034 4666428 4668204 4706312 4716165 4811430 4987944 5030576 5039190 5057221 5082260 5184920 5294601 5403606 5430360 5542160 5659398 5773716 5823064 5833035 5835255 5882890 6098712 6221904 6224272 6234930 6288220 6415240 6516432 6550947 6606938 6718920 7002306 7059468 7179120 7204808 7217145 7278830 7545864 7623390 7647757 7698288 7777380 7780340 8062704 8105409 8145540 8174686 8313240 8734596 8824335 8882640 9006010 9148068 9332856 9336408 9412624 9432330 9462479 9622860 9910407 9975888 10078380 10114442 10164520 10369840 10589202 10807212 10860720 10918245 11318796 11435085 11547432 11646128 11666070 11670510 11707813 11765780 12197424 12262029 12469860 12576440 12830480 13101894 13213876 13437840 13509015 14004612 14118936 14148495 14409616 14434290 14557660 15091728 15171663 15246780 15295514 15554760 15560680 16210818 16291080 16349372 16517345 16626480 17469192 17505765 17648670 18012020 18296136 18550249 18665712 18672816 18864660 18924958 19245720 19820814 20156760 20228884 20329040 20436715 21178404 21614424 21836490 22637592 22870170 22943271 22952003 23094864 23332140 23341020 23415626 23531560 24524058 24939720 25152880 25286105 26203788 26427752 26473005 27018030 28009224 28237872 28296990 28387437 28868580 29115320 29731221 30343326 30493560 30591028 31109520 31121360 32421636 32582160 32698744 32754735 33034690 34938384 35011530 35123439 35297340 36024040 36592272 36786087 37100498 37729320 37849916 38238785 38491440 39641628 40313520 40457768 40527045 40873430 42356808 42945097 43228848 43672980 45275184 45514989 45740340 45886542 45904006 46664280 46682040 46831252 47063120 47312395 49048116 49552035 49879440 50572210 52407576 52855504 52946010 53135459 54036060 55650747 56018448 56593980 56774874 57737160 58230640 58539065 59462442 60686652 60987120 61182056 61310145 64843272 65397488 65509470 65743873 66069380 68829813 68856009 70023060 70246878 70594680 72048080 73572174 74200996 75458640 75699832 75858315 76477570 79283256 80915536 81054090 81746860 84713616 85162311 85890194 87345960 91029978 91480680 91773084 91808012 92751245 93328560 93364080 93662504 94624790 98096232 99104070 101144420 104815152 105370317 105892020 106270918 108072120 111301494 113187960 113549748 114716355 114760015 115474320 117078130 118924884 121373304 122364112 122620290 128835291 129686544 131018940 131487746 132138760 137659626 137712018 140046120 140493756 141189360 141937185 147144348 148401992 148656105 151399664 151716630 152955140 158566512 159406377 162108180 163493720 166952241 170324622 171780388 174691920 175617195 182059956 182961360 183546168 183616024 183930435 185502490 187325008 189249580 196192464 197231619 198208140 202288840 206568027 210740634 211784040 212541836 214725485 216144240 222602988 226375920 227099496 227574945 229432710 229520030 234156260 237849768 241153237 242746608 245240580 257670582 262037880 262975492 264277520 265677295 275319252 275424036 278253735 280092240 280987512 283874370 294288696 296803984 297312210 298376039 303433260 305910280 318812754 324216360 326987440 328719365 333904482 340649244 343560776 344149065 344280045 351234390 364119912 367092336 367232048 367860870 371004980 378499160 386505873 394463238 396416280 404577680 413136054 421481268 423568080 425083672 425811555 429450970 445205976 454198992 455149890 458865420 459040060 468312520 475699536 478219131 482306474 490481160 515341164 524075760 525950984 526851585 531354590 550638504 550848072 556507470 558286261 561975024 567748740 588577392 591694857 594624420 596752078 606866520 611820560 637625508 644176455 648432720 657438730 667808964 681298488 687121552 688298130 688560090 690760967 702468780 723459711 728239824 735721740 742009960 756998320 773011746 788926476 792832560 797031885 826272108 834761205 842962536 850167344 851623110 854670349 858901940 890411952 895128117 910299780 917730840 918080120 936625040 956438262 964612948 980962320 986158095 1030682328 1032840135 1051901968 1053703170 1062709180 1101277008 1101696144 1113014940 1116572522 1135497480 1183389714 1189248840 1193504156 1205766185 1213733040 1275251016 1288352910 1314877460 1335617928 1354168177 1362596976 1376596260 1377120180 1381521934 1404937560 1446919422 1471443480 1484019920 1491880195 1546023492 1577852952 1594063770 1652544216 1669522410 1674858783 1685925072 1703246220 1709340698 1717803880 1790256234 1820599560 1835461680 1836160240 1912876524 1929225896 1932529365 1972316190 2061364656 2065680270 2072282901 2107406340 2125418360 2170379133 2226029880 2233145044 2270994960 2366779428 2378497680 2387008312 2391095655 2411532370 2550502032 2564011047 2576705820 2629754920 2671235856 2685384351 2708336354 2753192520 2754240360 2763043868 2791431305 2809875120 2893838844 2942886960 2958474285 2983760390 3092046984 3134992081 3155705904 3188127540 3305088432 3339044820 3349717566 3406492440 3418681396 3435607760 3453804835 3580512468 3617298555 3641199120 3825753048 3858451792 3865058730 3878888507 3944632380 4062504531 4131360540 4144565802 4214812680 4250836720 4273351745 4340758266 4452059760 4466290088 4475640585 4733558856 4774016624 4782191310 4823064740 5024576349 5128022094 5153411640 5259509840 5370768702 5416672708 5506385040 5508480720 5526087736 5582862610 5787677688 5916948570 5967520780 6184093968 6216848703 6269984162 6376255080 6678089640 6699435132 6770840885 6812984880 6837362792 6907609670 7161024936 7234597110 7651506096 7692033141 7730117460 7757777014 7889264760 8125009062 8262721080 8289131604 8374293915 8429625360 8546703490 8681516532 8932580176 8951281170 9404976243 9467117712 9564382620 9646129480 10049152698 10256044188 10306823280 10361414505 10741537404 10833345416 10851895665 11052175472 11165725220 11575355376 11636665521 11833897140 11935041560 12187513593 12433697406 12539968324 12752510160 12820055235 13356179280 13398870264 13426921755 13541681770 13674725584 13815219340 14322049872 14469194220 15384066282 15460234920 15515554028 15674960405 15778529520 16250018124 16525442160 16578263208 16748587830 17093406980 17363033064 17604186301 17902562340 18809952486 19128765240 19292258960 19394442535 20098305396 20312522655 20512088376 20722829010 21483074808 21666690832 21703791330 22331450440 23273331042 23667794280 23870083120 24375027186 24867394812 25079936648 25122881745 25640110470 26797740528 26853843510 27083363540 27630438680 28214928729 28938388440 30768132564 30920469840 31031108056 31084243515 31349920810 32500036248 33156526416 33497175660 34186813960 34726066128 34909996563 35208372602 35805124680 37619904972 38257530480 38460165705 38788885070 40196610792 40625045310 40754897053 41024176752 41445658020 42966149616 43407582660 44662900880 46546662084 47024881215 47335588560 48750054372 49734789624 50159873296 50245763490 50425550591 51280220940 52812558903 53707687020 54166727080 55260877360 56429857458 57876776880 58183327605 60937567965 61536265128 62062216112 62168487030 62699841620 65000072496 66994351320 68373627920 69819993126 70416745204 71610249360 75239809944 76920331410 77577770140 80393221584 81250090620 81509794106 82891316040 86815165320 88020931505 93093324168 94049762430 97500108744 99469579248 100491526980 100851101182 102560441880 105625117806 107415374040 108333454160 112859714916 116366655210 121875135930 122264691159 123072530256 124336974060 125399683240 133988702640 139639986252 140833490408 141074643645 150479619888 151276651773 153840662820 155155540280 158437676709 162500181240 163019588212 165782632080 173630330640 174549982815 176041863010 186186648336 188099524860 195000217488 200983053960 201702202364 203774485265 205120883760 211250235612 214830748080 225719429832 228854421913 232733310420 243750271860 244529382318 248673948120 250799366480 252127752955 264062794515 279279972504 281666980816 282149287290 302553303546 307681325640 310311080560 316875353418 325000362480 326039176424 349099965630 352083726020 366794073477 376199049720 401966107920 403404404728 407548970530 422500471224 451438859664 453829955319 457708843826 465466620840 487500543720 489058764636 497347896240 504255505910 528125589030 558559945008 564298574580 605106607092 611323455795 615362651280 633750706836 652078352848 686563265739 698199931260 704167452040 733588146954 752398099440 756383258865 792188383545 806808809456 815097941060 845000942448 907659910638 915417687652 930933241680 975001087440 978117529272 1008511011820 1056251178060 1128597149160 1144272109565 1210213214184 1222646911590 1267501413672 1373126531478 1396399862520 1408334904080 1467176293908 1512766517730 1584376767090 1630195882120 1815319821276 1830835375304 1833970367385 1956235058544 2017022023640 2059689797217 2112502356120 2257194298320 2269149776595 2288544219130 2420426428368 2445293823180 2535002827344 2746253062956 2792799725040 2934352587816 2975107484869 3025533035460 3168753534180 3260391764240 3432816328695 3630639642552 3661670750608 3667940734770 4034044047280 4119379594434 4225004712240 4538299553190 4577088438260 4890587646360 5492506125912 5868705175632 5950214969738 6051066070920 6337507068360 6865632657390 7261279285104 7335881469540 8238759188868 8925322454607 9076599106380 9154176876520 9781175292720 10298448986085 10985012251824 11900429939476 12102132141840 12675014136720 13731265314780 14671762939080 14875537424345 16477518377736 17850644909214 18153198212760 18308353753040 20596897972170 23800859878952 26775967363821 27462530629560 29343525878160 29751074848690 32955036755472 35701289818428 36306396425520 41193795944340 44626612273035 47601719757904 53551934727642 54925061259120 59502149697380 71402579636856 82387591888680 89253224546070 107103869455284 119004299394760 133879836819105 142805159273712 164775183777360 178506449092140 214207738910568 238008598789520 267759673638210 357012898184280 428415477821136 535519347276420 714025796368560 1071038694552840 2142077389105680
- Sum of all divisors σ(n): 8037446758504800
- Sum of proper divisors (its aliquot sum) s(n): 5895369369399120
- 2142077389105680 is an abundant number, because the sum of its proper divisors (5895369369399120) is greater than itself. Its abundance is 3753291980293440
Bases of 2142077389105680
- Binary: 1111001110000110101010000011101101111101010000100002
- Hexadecimal: 0x79C3541DBEA10
- Base-36: L3AWRMO9W0
Squares and roots of 2142077389105680
- 2142077389105680 squared (21420773891056802) is 4588495540917806797950208262400
- 2142077389105680 cubed (21420773891056803) is 9828912548212270458123826489135396882770432000
-
The
square root of 2142077389105680 is 46282581.9191807837 -
The
cube root of 2142077389105680 is 128907.5592987399
Scales and comparisons
How big is 2142077389105680?- 2,142,077,389,105,680 seconds is equal to 68,111,435 years, 4 weeks, 5 days, 21 hours, 48 minutes.
-
To count from 1 to 2,142,077,389,105,680 would take you about two hundred four million, three hundred thirty-four thousand, three hundred five 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 2142077389105680 cubic inches would be around 10742.3 feet tall.
Recreational maths with 2142077389105680
- 2142077389105680 backwards is 0865019837702412
- The number of decimal digits it has is: 16
- The sum of 2142077389105680's digits is 63
- More coming soon!
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"Number 2142077389105680 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 2142077389105680 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/2142077389105680/
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Numbermatics. 2024. "Number 2142077389105680 - Facts about the integer". https://numbermatics.com/n/2142077389105680/
The information we have on file for 2142077389105680 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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