42542138480054400

Names of 42542138480054400

• Cardinal: 42542138480054400 can be written as Forty-two quadrillion, five hundred forty-two trillion, one hundred thirty-eight billion, four hundred eighty million, fifty-four thousand, four hundred.

Scientific notation

• Scientific notation: 4.25421384800544 × 10¹⁶

Factors of 42542138480054400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 5229546

Divisors of 42542138480054400

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 61 64 66 72 75 80 88 90 96 99 100 110 120 122 128 132 144 150 160 165 176 180 183 192 198 200 220 225 240 244 264 275 288 300 305 320 330 352 360 366 384 396 400 421 440 450 480 488 495 528 549 550 576 600 610 640 660 671 704 720 732 792 800 825 842 880 900 915 960 976 990 1056 1098 1100 1152 1200 1220 1263 1320 1342 1408 1440 1464 1525 1584 1600 1650 1684 1760 1800 1830 1920 1952 1980 2013 2105 2112 2196 2200 2400 2440 2475 2526 2640 2684 2745 2880 2928 3050 3168 3200 3300 3355 3368 3520 3600 3660 3789 3904 3960 4026 4210 4224 4392 4400 4575 4631 4800 4880 4950 5052 5280 5368 5490 5760 5856 6039 6100 6315 6336 6600 6710 6736 7040 7200 7320 7578 7808 7920 8052 8420 8784 8800 9150 9262 9600 9760 9900 10065 10104 10525 10560 10736 10980 11712 12078 12200 12630 12672 13200 13420 13472 13725 13893 14400 14640 15156 15840 16104 16775 16840 17568 17600 18300 18524 18945 19520 19800 20130 20208 21050 21120 21472 21960 23155 23424 24156 24400 25260 25681 26400 26840 26944 27450 27786 28800 29280 30195 30312 31575 31680 32208 33550 33680 35136 35200 36600 37048 37890 39040 39600 40260 40416 41679 42100 42944 43920 46310 48312 48800 50325 50520 51362 52800 53680 53888 54900 55572 58560 60390 60624 63150 63360 64416 67100 67360 69465 70272 73200 74096 75780 77043 79200 80520 80832 83358 84200 85888 87840 92620 94725 96624 97600 100650 101040 102724 105600 107360 109800 111144 115775 117120 120780 121248 126300 128405 128832 134200 134720 138930 146400 148192 150975 151560 154086 158400 161040 161664 166716 168400 175680 185240 189450 193248 195200 201300 202080 205448 208395 214720 219600 222288 231129 231550 241560 242496 252600 256810 257664 268400 269440 277860 282491 292800 296384 301950 303120 308172 316800 322080 333432 336800 347325 351360 370480 378900 385215 386496 402600 404160 410896 416790 429440 439200 444576 462258 463100 483120 484992 505200 513620 536800 555720 564982 585600 592768 603900 606240 616344 642025 644160 666864 673600 694650 740960 757800 770430 772992 805200 808320 821792 833580 847473 878400 889152 924516 926200 966240 1010400 1027240 1041975 1073600 1111440 1129964 1155645 1207800 1212480 1232688 1284050 1288320 1333728 1347200 1389300 1412455 1481920 1515600 1540860 1610400 1643584 1667160 1694946 1756800 1778304 1849032 1852400 1926075 1932480 2020800 2054480 2083950 2147200 2222880 2259928 2311290 2415600 2424960 2465376 2542419 2568100 2667456 2778600 2824910 2963840 3031200 3081720 3220800 3287168 3334320 3389892 3698064 3704800 3852150 3864960 4041600 4108960 4167900 4237365 4445760 4519856 4622580 4831200 4930752 5084838 5136200 5229043 5334912 5557200 5649820 5778225 6062400 6163440 6441600 6668640 6779784 7062275 7396128 7409600 7704300 8217920 8335800 8474730 8891520 9039712 9245160 9662400 9861504 10169676 10272400 10458086 11114400 11299640 11556450 12124800 12326880 12712095 13337280 13559568 14124550 14792256 14819200 15408600 15687129 16435840 16671600 16949460 18079424 18490320 19324800 20339352 20544800 20916172 21186825 22228800 22599280 23112900 24653760 25424190 26145215 26674560 27119136 28249100 29584512 30817200 31374258 33343200 33898920 36158848 36980640 40678704 41089600 41832344 42373650 44457600 45198560 46225800 47061387 49307520 50848380 52290430 54238272 56498200 57519473 61634400 62748516 63560475 66686400 67797840 73961280 78435645 81357408 82179200 83664688 84747300 90397120 92451600 94122774 101696760 104580860 108476544 112996400 115038946 123268800 125497032 127120950 130726075 133372800 135595680 147922560 156871290 162714816 167329376 169494600 172558419 180794240 184903200 188245548 203393520 209161720 225992800 230077892 235306935 246537600 250994064 254241900 261452150 271191360 287597365 313742580 318971623 325429632 334658752 338989200 345116838 369806400 376491096 392178225 406787040 418323440 451985600 460155784 470613870 501988128 508483800 517675257 522904300 542382720 575194730 627485160 637943246 669317504 677978400 690233676 739612800 752982192 784356450 813574080 836646880 862792095 903971200 920311568 941227740 956914869 1003976256 1016967600 1035350514 1045808600 1150389460 1176534675 1254970320 1275886492 1355956800 1380467352 1437986825 1505964384 1568712900 1594858115 1627148160 1673293760 1725584190 1840623136 1882455480 1913829738 2007952512 2033935200 2070701028 2091617200 2201427103 2300778920 2353069350 2509940640 2551772984 2588376285 2711913600 2760934704 2870744607 2875973650 3011928768 3137425800 3189716230 3346587520 3451168380 3508687853 3681246272 3764910960 3827659476 4067870400 4141402056 4183234400 4313960475 4402854206 4601557840 4706138700 4784574345 5019881280 5103545968 5176752570 5521869408 5741489214 5751947300 6023857536 6274851600 6379432460 6604281309 6902336760 7017375706 7362492544 7529821920 7655318952 7974290575 8135740800 8282804112 8366468800 8627920950 8805708412 9203115680 9412277400 9569148690 10039762560 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76553189520 79251375708 82828041120 84208508472 87717196325 88057084120 91863827424 92031156800 95691486900 96862792532 99064219635 102070919360 103535051400 105260635590 105668500944 110071355150 110437388160 112278011296 114829784280 121078490665 122485103232 126312762708 127588649200 132085626180 134287053283 138046735200 140347514120 140891334592 143537230350 145294188798 150596438400 153106379040 157890953385 158502751416 165107032725 165656082240 168417016944 175434392650 176114168240 183727654848 184062313600 191382973800 193725585064 198128439270 204141838720 207070102800 210521271180 211337001888 217941283197 220142710300 224556022592 229659568560 242156981330 252625525416 255177298400 263151588975 264171252360 268574106566 276093470400 280695028240 281782669184 287074460700 290588377596 306212758080 315781906770 317005502832 330214065450 331312164480 336834033888 350868785300 352228336480 363235471995 367455309696 382765947600 387451170128 396256878540 402861159849 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2014305799245 2021004203328 2105212711800 2113370018880 2148592852528 2179412831970 2245560225920 2296595685600 2324707020768 2417166959094 2421569813300 2526255254160 2536044022656 2641712523600 2685741065660 2806950282400 2905883775960 2954315172226 3062127580800 3099609361024 3157819067700 3170055028320 3222889278792 3357176332075 3368340338880 3487060531152 3522283364800 3632354719950 3874511701280 3962568785400 4028611598490 4042008406656 4210425423600 4226740037760 4297185705056 4358825663940 4431472758339 4593191371200 4649414041536 4834333918188 4843139626600 5052510508320 5283425047200 5371482131320 5448532079925 5613900564800 5811767551920 5908630344452 6042917397735 6315638135400 6340110056640 6445778557584 6714352664150 6736680677760 6974121062304 7044566729600 7264709439900 7385787930565 7749023402560 7925137570800 8057223196980 8420850847200 8594371410112 8717651327880 8862945516678 9186382742400 9298828083072 9668667836376 9686279253200 10071528996225 10105021016640 10566850094400 10742964262640 10897064159850 11227801129600 11623535103840 11817260688904 12085834795470 12631276270800 12680220113280 12891557115168 13294418275017 13428705328300 13948242124608 14529418879800 14771575861130 15498046805120 15850275141600 16114446393960 16841701694400 17188742820224 17435302655760 17725891033356 19337335672752 19372558506400 20143057992450 20210042033280 21133700188800 21485928525280 21794128319700 22157363791695 23247070207680 23634521377808 24171669590940 25262552541600 25783114230336 26588836550034 26857410656600 27896484249216 29058837759600 29543151722260 30214586988675 31700550283200 32228892787920 33683403388800 34870605311520 35451782066712 36928939652825 38674671345504 38745117012800 40286115984900 42971857050560 43588256639400 44314727583390 46494140415360 47269042755616 48343339181880 50525105083200 51566228460672 53177673100068 53714821313200 58117675519200 59086303444520 60429173977350 63401100566400 64457785575840 66472091375085 69741210623040 70903564133424 73857879305650 77349342691008 77490234025600 80572231969800 85943714101120 87176513278800 88629455166780 94538085511232 96686678363760 101050210166400 106355346200136 107429642626400 110786818958475 116235351038400 118172606889040 120858347954700 128915571151680 132944182750170 139482421246080 141807128266848 147715758611300 154698685382016 161144463939600 174353026557600 177258910333560 189076171022464 193373356727520 212710692400272 214859285252800 221573637916950 232470702076800 236345213778080 241716695909400 257831142303360 265888365500340 283614256533696 295431517222600 322288927879200 332360456875425 348706053115200 354517820667120 386746713455040 425421384800544 429718570505600 443147275833900 472690427556160 483433391818800 531776731000680 567228513067392 590863034445200 644577855758400 664720913750850 697412106230400 709035641334240 773493426910080 850842769601088 886294551667800 945380855112320 966866783637600 1063553462001360 1181726068890400 1289155711516800 1329441827501700 1418071282668480 1701685539202176 1772589103335600 1933733567275200 2127106924002720 2363452137780800 2658883655003400 2836142565336960 3545178206671200 3867467134550400 4254213848005440 4726904275561600 5317767310006800 7090356413342400 8508427696010880 10635534620013600 14180712826684800 21271069240027200 42542138480054400
• Sum of all divisors σ(n): 168714694284626880
• Sum of proper divisors (its aliquot sum) s(n): 126172555804572480
• 42542138480054400 is an abundant number, because the sum of its proper divisors (126172555804572480) is greater than itself. Its abundance is 83630417324518080

Bases of 42542138480054400

• Binary: 10010111001000111101100101111100000101101101000010000000₂
• Hexadecimal: 0x9723D97C16D080
• Base-36: BMVXGM5K4G0

Squares and roots of 42542138480054400

• 42542138480054400 squared (42542138480054400²) is 1809833546456125295066626959360000
• 42542138480054400 cubed (42542138480054400³) is 76994189359184450491882518147646076679389184000000
• The square root of 42542138480054400 is 206257456.7865472349
• The cube root of 42542138480054400 is 349091.9002763289

Scales and comparisons

• 42,542,138,480,054,400 seconds is equal to 1,352,708,412 years, 9 weeks, 6 days, 16 hours.
• To count from 1 to 42,542,138,480,054,400 would take you about four billion, fifty-eight million, one hundred twenty-five thousand, two hundred thirty-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 42542138480054400 cubic inches would be around 29091 feet tall.

Recreational maths with 42542138480054400

• 42542138480054400 backwards is 00445008483124524
• The number of decimal digits it has is: 17
• The sum of 42542138480054400's digits is 54
• More coming soon!