42420553720129406016
42,420,553,720,129,406,016 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42420553720129406016 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1344 divisors.
42420553720129406016 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 42420553720129406016:
26 × 32 × 13 × 43 × 53 × 127 × 967 × 20241187
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 43 × 53 × 127 × 967 × 20241187)See below for interesting mathematical facts about the number 42420553720129406016 from the Numbermatics database.
Names of 42420553720129406016
- Cardinal: 42420553720129406016 can be written as Forty-two quintillion, four hundred twenty quadrillion, five hundred fifty-three trillion, seven hundred twenty billion, one hundred twenty-nine million, four hundred six thousand and sixteen.
Scientific notation
- Scientific notation: 4.2420553720129406016 × 1019
Factors of 42420553720129406016
Divisors of 42420553720129406016
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 53 64 72 78 86 96 104 106 117 127 129 144 156 159 172 192 208 212 234 254 258 288 312 318 344 381 387 416 424 468 477 508 516 559 576 624 636 688 689 762 774 832 848 936 954 967 1016 1032 1118 1143 1248 1272 1376 1378 1524 1548 1651 1677 1696 1872 1908 1934 2032 2064 2067 2236 2279 2286 2496 2544 2752 2756 2901 3048 3096 3302 3354 3392 3744 3816 3868 4064 4128 4134 4472 4558 4572 4953 5031 5088 5461 5512 5802 6096 6192 6201 6604 6708 6731 6837 7488 7632 7736 8128 8256 8268 8703 8944 9116 9144 9906 10062 10176 10922 11024 11604 12192 12384 12402 12571 13208 13416 13462 13674 14859 15264 15472 16383 16536 17406 17888 18232 18288 19812 20124 20193 20511 21844 22048 23208 24384 24768 24804 25142 26416 26832 26924 27348 29627 29718 30528 30944 32766 33072 34812 35776 36464 36576 37713 39624 40248 40386 41022 41581 43688 44096 46416 49149 49608 50284 51251 52832 53664 53848 54696 59254 59436 60579 61888 65532 66144 69624 70993 72928 73152 75426 79248 80496 80772 82044 83162 87376 87503 88881 92832 98298 99216 100568 102502 105664 107328 107696 109392 113139 118508 118872 121158 122809 124743 131064 132288 139248 141986 145856 150852 153753 158496 160992 161544 164088 166324 174752 175006 177762 185664 196596 198432 201136 205004 212979 215392 218784 226278 237016 237744 242316 245618 249486 262128 262509 266643 278496 283972 289433 301704 307506 316992 321984 323088 328176 332648 349504 350012 355524 368427 374229 393192 396864 402272 410008 425958 430784 437568 452556 461259 474032 475488 484632 491236 498972 524256 525018 533286 540553 556992 567944 578866 603408 615012 638937 646176 656352 665296 666263 700024 711048 736854 748458 786384 787527 804544 820016 851916 868299 905112 922518 948064 950976 969264 982472 997944 1048512 1050036 1066572 1081106 1105281 1135888 1157732 1206816 1230024 1277874 1292352 1312704 1330592 1332526 1400048 1422096 1473708 1496916 1572768 1575054 1596517 1621659 1640032 1703832 1736598 1810224 1845036 1896128 1938528 1964944 1995888 1998789 2100072 2133144 2162212 2203793 2210562 2271776 2315464 2413632 2460048 2555748 2604897 2661184 2665052 2800096 2844192 2947416 2993832 3145536 3150108 3193034 3243318 3280064 3407664 3473196 3620448 3690072 3762629 3877056 3929888 3991776 3997578 4200144 4266288 4324424 4407586 4421124 4543552 4630928 4789551 4864977 4920096 5111496 5209794 5280787 5330104 5600192 5688384 5894832 5987664 5996367 6300216 6386068 6486636 6508877 6611379 6815328 6946392 7240896 7380144 7525258 7859776 7983552 7995156 8400288 8532576 8648848 8815172 8842248 9261856 9579102 9729954 9840192 10222992 10419588 10561574 10660208 11287887 11789664 11975328 11992734 12600432 12772136 12973272 13017754 13222758 13630656 13892784 14368653 14760288 15050516 15842361 15990312 16800576 17065152 17297696 17630344 17684496 18523712 19158204 19459908 19526631 19834137 20241187 20445984 20839176 21123148 21320416 22575774 23579328 23950656 23985468 25200864 25544272 25946544 26035508 26445516 27785568 28649309 28737306 29520576 30101032 31684722 31980624 33863661 34595392 35260688 35368992 38316408 38919816 39053262 39668274 40482374 40891968 41678352 42246296 42640832 45151548 47527083 47970936 50401728 51088544 51893088 52071016 52891032 55571136 57298618 57474612 58579893 60202064 60723561 63369444 63961248 67727322 68650231 70521376 70737984 76632816 77839632 78106524 79336548 80964748 83356704 84492592 84615401 85947927 90303096 95054166 95941872 102177088 103786176 104142032 105782064 114597236 114949224 117159786 120404128 121447122 126738888 127922496 135454644 137300462 141042752 153265632 155679264 156213048 158673096 161929496 166713408 168985184 169230802 171895854 180606192 182170683 190108332 191883744 205950693 208284064 211564128 229194472 229898448 234319572 240808256 242894244 253477776 253846203 257843781 263135431 270909288 274600924 279881711 306531264 311358528 312426096 317346192 323858992 337970368 338461604 343791708 361212384 364341366 380216664 383767488 411901386 416568128 423128256 458388944 459796896 468639144 485788488 506955552 507692406 515687562 526270862 541818576 549201848 559763422 617852079 624852192 634692384 647717984 676923208 687583416 722424768 728682732 760433328 761538609 789406293 823802772 839645133 870371041 916777888 919593792 937278288 971576976 1013911104 1015384812 1031375124 1052541724 1072782911 1083637152 1098403696 1119526844 1235704158 1249704384 1269384768 1295435968 1353846416 1375166832 1457365464 1520866656 1523077218 1578812586 1647605544 1679290266 1740742082 1833555776 1874556576 1943153952 2030769624 2062750248 2105083448 2145565822 2167274304 2196807392 2239053688 2368218879 2471408316 2518935399 2570630749 2611113123 2707692832 2750333664 2914730928 3041733312 3046154436 3157625172 3218348733 3295211088 3358580532 3481484164 3638462243 3749113152 3886307904 4061539248 4125500496 4210166896 4291131644 4393614784 4478107376 4736437758 4942816632 5037870798 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2652890932968 2677666145856 2818544807376 2873965177382 2952298571072 3053423541324 3112143224811 3208147174752 3258669177504 3269842312728 3321335892456 3366595186588 3537187910624 3542329172122 3598113883494 3758059743168 3979336399452 4016499218784 4071231388432 4149524299748 4310947766073 4359789750304 4428447856608 4580135311986 4797485177992 4812220762128 4904763469092 4971599868566 5049892779882 5305781865936 5313493758183 5397170825241 5637089614752 5747930354764 5858467476971 6106847082648 6224286449622 6416294349504 6517338355008 6539684625456 6642671784912 6733190373176 7074375821248 7084658344244 7196227766988 7457399802849 7574839169823 7958672798904 8032998437568 8142462776864 8299048599496 8621895532146 8719579500608 8856895713216 9160270623972 9336429674433 9594970355984 9624441524256 9809526938184 9943199737132 10099785559764 10611563731872 10626987516366 10794341650482 10941434356411 11274179229504 11495860709528 11716934953942 12213694165296 12448572899244 12932843298219 13079369250912 13285343569824 13466380746352 13485953974181 14169316688488 14392455533976 14914799605698 15149678339646 15917345597808 15940481274549 16284925553728 16598097198992 17243791064292 17575402430913 18320541247944 18672859348866 19189940711968 19248883048512 19619053876368 19886399474264 20199571119528 21223127463744 21253975032732 21588683300964 21882868712822 22372199408547 22991721419056 23433869907884 24427388330592 24897145798488 25865686596438 26158738501824 26570687139648 26932761492704 26971907948362 28338633376976 28784911067952 29829599211396 30299356679292 31834691195616 31880962549098 32315399145679 32824303069233 33196194397984 34487582128584 35150804861826 36641082495888 37345718697732 38379881423936 39238107752736 39772798948528 40399142239056 40457861922543 42507950065464 43177366601928 43765737425644 44607386222291 44744398817094 45983442838112 46867739815768 48854776661184 49794291596976 51731373192876 52726207292739 53865522985408 53943815896724 56677266753952 57569822135904 59659198422792 60598713358584 63669382391232 63761925098196 64630798291358 65648606138466 66392388795968 68975164257168 70301609723652 73282164991776 74691437395464 76160077200623 78476215505472 79545597897056 80798284478112 80915723845086 85015900130928 86354733203856 87531474851288 89214772444582 89488797634188 91966885676224 93735479631536 96946197437037 98472909207699 99588583193952 103462746385752 105452414585478 106889397174169 107887631793448 113354533507904 115139644271808 119318396845584 121197426717168 121373585767629 127523850196392 129261596582716 131297212276932 131747396516999 133822158666873 137950328514336 140603219447304 146564329983552 149382874790928 152320154401246 159091195794112 161596568956224 161831447690172 170031800261856 172709466407712 175062949702576 178429544889164 178977595268376 187470959263072 193892394874074 196945818415398 199177166387904 206925492771504 210904829170956 213778794348338 215775263586896 228480231601869 238636793691168 242394853434336 242747171535258 255047700392784 258523193165432 262594424553864 263494793033998 267644317333746 275900657028672 281206438894608 290838592311111 298765749581856 304640308802492 320668191522507 323662895380344 340063600523712 345418932815424 350125899405152 356859089778328 357955190536752 374941918526144 387784789748148 393891636830796 395242189550997 401466476000619 413850985543008 421809658341912 427557588696676 431550527173792 456960463203738 477273587382336 484789706868672 485494343070516 510095400785568 517046386330864 525188849107728 526989586067996 535288634667492 562412877789216 579896020889783 581677184622222 597531499163712 609280617604984 641336383045014 647325790760688 685440694805607 700251798810304 713718179556656 715910381073504 775569579496296 787783273661592 790484379101994 802932952001238 827701971086016 843619316683824 855115177393352 863101054347584 913920926407476 962004574567521 970988686141032 1020190801571136 1034092772661728 1050377698215456 1053979172135992 1070577269334984 1124825755578432 1159792041779566 1163354369244444 1185726568652991 1218561235209968 1282672766090028 1294651581521376 1370881389611214 1389562163264197 1427436359113312 1431820762147008 1551139158992592 1575566547323184 1580968758203988 1605865904002476 1687238633367648 1710230354786704 1712716154720987 1739688062669349 1827841852814952 1924009149135042 1941977372282064 2068185545323456 2100755396430912 2107958344271984 2141154538669968 2319584083559132 2326708738488888 2371453137305982 2437122470419936 2565345532180056 2589303163042752 2741762779222428 2779124326528394 2854872718226624 3102278317985184 3151133094646368 3161937516407976 3211731808004952 3374477266735296 3420460709573408 3425432309441974 3479376125338698 3655683705629904 3848018298270084 3883954744564128 4168686489792591 4215916688543968 4282309077339936 4639168167118264 4653417476977776 4742906274611964 4874244940839872 5130691064360112 5138148464162961 5219064188008047 5483525558444856 5558248653056788 5665138050230957 6204556635970368 6302266189292736 6323875032815952 6423463616009904 6840921419146816 6850864618883948 6958752250677396 7311367411259808 7696036596540168 7767909489128256 8337372979585182 8431833377087936 8564618154679872 9278336334236528 9306834953955552 9485812549223928 10261382128720224 10276296928325922 10438128376016094 10967051116889712 11116497306113576 11330276100461914 12506059469377773 12647750065631904 12846927232019808 13701729237767896 13917504501354792 14622734822519616 15392073193080336 15414445392488883 16674745959170364 16995414150692871 18556672668473056 18613669907911104 18971625098447856 20522764257440448 20552593856651844 20876256752032188 21934102233779424 22232994612227152 22660552200923828 25012118938755546 25295500131263808 25693854464039616 27403458475535792 27835009002709584 30784146386160672 30828890784977766 33349491918340728 33990828301385742 37113345336946112 37943250196895712 41105187713303688 41752513504064376 43868204467558848 44465989224454304 45321104401847656 50024237877511092 50986242452078613 54806916951071584 55670018005419168 61568292772321344 61657781569955532 66698983836681456 67981656602771484 73646794653002441 75886500393791424 82210375426607376 83505027008128752 88931978448908608 90642208803695312 100048475755022184 101972484904157226 109613833902143168 111340036010838336 123315563139911064 133397967673362912 135963313205542968 147293589306004882 164420750853214752 167010054016257504 181284417607390624 200096951510044368 203944969808314452 220940383959007323 246631126279822128 266795935346725824 271926626411085936 294587178612009764 328841501706429504 334020108032515008 362568835214781248 400193903020088736 407889939616628904 441880767918014646 493262252559644256 543853252822171872 589174357224019528 662821151877021969 800387806040177472 815779879233257808 883761535836029292 986524505119288512 1087706505644343744 1178348714448039056 1325642303754043938 1631559758466515616 1767523071672058584 2356697428896078112 2651284607508087876 3263119516933031232 3535046143344117168 4713394857792156224 5302569215016175752 7070092286688234336 10605138430032351504 14140184573376468672 21210276860064703008 42420553720129406016
- Sum of all divisors σ(n): 137734542507440406528
- Sum of proper divisors (its aliquot sum) s(n): 95313988787311000512
- 42420553720129406016 is an abundant number, because the sum of its proper divisors (95313988787311000512) is greater than itself. Its abundance is 52893435067181594496
Bases of 42420553720129406016
- Binary: 1001001100101101000001010011011010110011111011000001000100010000002
- Hexadecimal: 0x24CB414DACFB04440
- Base-36: 8YAHRABS547K0
Squares and roots of 42420553720129406016
- 42420553720129406016 squared (424205537201294060162) is 1799503377922384788106855104956976992256
- 42420553720129406016 cubed (424205537201294060163) is 76335929712710852457313142252731593090221416236291511812096
-
The
square root of 42420553720129406016 is 6513106303.4568540671 -
The
cube root of 42420553720129406016 is 3487590.1656986615
Scales and comparisons
How big is 42420553720129406016?- 42,420,553,720,129,406,016 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,420,553,720,129,406,016 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 42420553720129406016 cubic inches would be around 290632.5 feet tall.
Recreational maths with 42420553720129406016
- 42420553720129406016 backwards is 61060492102735502424
- The number of decimal digits it has is: 20
- The sum of 42420553720129406016's digits is 63
- More coming soon!
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"Number 42420553720129406016 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 42420553720129406016 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/42420553720129406016/
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Numbermatics. 2024. "Number 42420553720129406016 - Facts about the integer". https://numbermatics.com/n/42420553720129406016/
The information we have on file for 42420553720129406016 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 42420553720129406016, math, Factors of 42420553720129406016, curriculum, school, college, exams, university, Prime factorization of 42420553720129406016, STEM, science, technology, engineering, physics, economics, calculator, forty-two quintillion, four hundred twenty quadrillion, five hundred fifty-three trillion, seven hundred twenty billion, one hundred twenty-nine million, four hundred six thousand and sixteen.