42493971213208416
42,493,971,213,208,416 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42493971213208416 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
42493971213208416 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42493971213208416:
25 × 3 × 11 × 17 × 41 × 61 × 181 × 5229043
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 17 × 41 × 61 × 181 × 5229043)See below for interesting mathematical facts about the number 42493971213208416 from the Numbermatics database.
Names of 42493971213208416
- Cardinal: 42493971213208416 can be written as Forty-two quadrillion, four hundred ninety-three trillion, nine hundred seventy-one billion, two hundred thirteen million, two hundred eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.2493971213208416 × 1016
Factors of 42493971213208416
Divisors of 42493971213208416
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 41 44 48 51 61 66 68 82 88 96 102 122 123 132 136 164 176 181 183 187 204 244 246 264 272 328 352 362 366 374 408 451 488 492 528 543 544 561 656 671 697 724 732 748 816 902 976 984 1037 1056 1086 1122 1312 1342 1353 1394 1448 1464 1496 1632 1804 1952 1968 1991 2013 2074 2091 2172 2244 2501 2684 2706 2788 2896 2928 2992 3077 3111 3608 3936 3982 4026 4148 4182 4344 4488 5002 5368 5412 5576 5792 5856 5973 5984 6154 6222 7216 7421 7503 7667 7964 8052 8296 8364 8688 8976 9231 10004 10736 10824 11041 11152 11407 11946 12308 12444 14432 14842 15006 15334 15928 16104 16592 16728 17376 17952 18462 20008 21472 21648 22082 22263 22304 22814 23001 23892 24616 24888 27511 29684 30012 30668 31856 32208 33123 33184 33456 33847 34221 36924 40016 42517 43296 44164 44526 45628 46002 47784 49232 49776 55022 59368 60024 61336 63712 64416 66246 66912 67694 68442 73848 80032 81631 82533 85034 88328 89052 91256 92004 95568 98464 99552 101541 110044 118736 120048 121451 122672 126157 127551 132492 135388 136884 147696 163262 165066 170068 176656 178104 182512 184008 187697 191136 203082 220088 237472 240096 242902 244893 245344 252314 255102 264984 270776 273768 295392 326524 330132 340136 353312 356208 364353 365024 368016 375394 378471 406164 440176 452681 467687 485804 489786 504628 510204 529968 541552 547536 563091 653048 660264 680272 712416 728706 736032 750788 756942 812328 880352 905362 935374 971608 979572 1009256 1020408 1059936 1083104 1095072 1126182 1306096 1320528 1358043 1360544 1387727 1403061 1457412 1501576 1513884 1624656 1810724 1870748 1943216 1959144 2018512 2040816 2064667 2252364 2612192 2641056 2716086 2775454 2806122 2914824 3003152 3027768 3249312 3621448 3741496 3886432 3918288 4037024 4081632 4129334 4163181 4504728 4979491 5229043 5432172 5550908 5612244 5829648 6006304 6055536 6194001 7242896 7482992 7695577 7836576 8258668 8326362 9009456 9958982 10458086 10864344 11101816 11224488 11659296 12111072 12388002 14485792 14938473 14965984 15391154 15687129 16517336 16652724 18018912 19917964 20916172 21728688 22203632 22448976 23086731 24776004 29876946 30782308 31374258 33034672 33305448 39835928 41832344 43457376 44407264 44897952 46173462 49552008 57519473 59753892 61564616 62748516 66069344 66610896 79671856 83664688 84651347 88893731 92346924 99104016 115038946 119507784 123129232 125497032 133221792 159343712 167329376 169302694 172558419 177787462 184693848 198208032 214390763 230077892 239015568 246258464 250994064 253954041 266681193 318971623 338605388 345116838 355574924 369387696 428781526 460155784 478031136 501988128 507908082 533362386 637943246 643172289 677210776 690233676 711149848 738775392 857563052 920311568 946456783 956914869 977831041 1015816164 1066724772 1275886492 1286344578 1354421552 1380467352 1422299696 1715126104 1840623136 1892913566 1913829738 1955662082 2031632328 2133449544 2358298393 2551772984 2572689156 2708843104 2760934704 2839370349 2844599392 2933493123 3430252208 3508687853 3644642971 3785827132 3827659476 3911324164 4063264656 4266899088 4716596786 5103545968 5145378312 5422517591 5521869408 5678740698 5866986246 6860504416 7017375706 7074895179 7289285942 7571654264 7655318952 7822648328 8126529312 8533798176 9433193572 10207091936 10290756624 10411024613 10526063559 10845035182 10933928913 11357481396 11733972492 13077836543 14034751412 14149790358 14578571884 15143308528 15310637904 15645296656 16089765311 16267552773 18866387144 20581513248 20822049226 21052127118 21690070364 21867857826 22714962792 23467944984 26155673086 28069502824 28299580716 29157143768 30286617056 30621275808 31233073839 31290593312 32179530622 32535105546 37732774288 38804728103 39233509629 40091072681 41644098452 42104254236 43380140728 43735715652 45429925584 46935889968 48269295933 52311346172 56139005648 56599161432 57733863763 58314287536 59647693501 62466147678 64359061244 65070211092 75465548576 77609456206 78467019258 80182145362 83288196904 84208508472 86760281456 87471431304 90859851168 93871779936 96538591866 104622692344 112278011296 113198322864 115467727526 116414184309 116628575072 119295387002 120273218043 124932295356 128718122488 130140422184 143856201973 155218912412 156934038516 160364290724 166576393808 168417016944 173201591289 173520562912 174942862608 176987418421 178943080503 193077183732 209245384688 222323221231 226396645728 230935455052 232828368618 238590774004 240546436086 249864590712 257436244976 260280844368 287712403946 310437824824 313868077032 320728581448 333152787616 336834033888 346403182578 349885725216 353974836842 357886161006 386154367464 418490769376 426852009133 431568605919 444646442462 461870910104 465656737236 477181548008 481092872172 499729181424 514872489952 520561688736 530962255263 575424807892 620875649648 627736154064 635072501393 641457162896 659680377751 666969663693 692806365156 707949673684 715772322012 772308734928 853704018266 863137211838 889292884924 923741820208 931313474472 954363096016 962185744344 981475683971 999458362848 1061924510526 1150849615784 1241751299296 1255472308128 1270145002786 1280556027399 1282914325792 1319360755502 1333939327386 1385612730312 1415899347368 1431544644024 1544617469856 1707408036532 1726274423676 1778585769848 1847483640416 1862626948944 1905217504179 1908726192032 1924371488688 1962951367942 1979041133253 2123849021052 2301699231568 2367088414283 2445555433541 2540290005572 2561112054798 2638721511004 2667878654772 2771225460624 2831798694736 2863089288048 2944427051913 3414816073064 3452548847352 3557171539696 3725253897888 3810435008358 3848742977376 3925902735884 3958082266506 4247698042104 4603398463136 4734176828566 4891110867082 5080580011144 5122224109596 5277443022008 5335757309544 5542450921248 5663597389472 5726178576096 5888854103826 6829632146128 6905097694704 7101265242849 7114343079392 7256484155261 7336666300623 7620870016716 7851805471768 7916164533012 8495396084208 9468353657132 9782221734164 10161160022288 10244448219192 10554886044016 10671514619088 10796232523681 11777708207652 13659264292256 13810195389408 14202530485698 14512968310522 14673332601246 15241740033432 15703610943536 15832329066024 16990792168416 18936707314264 19564443468328 20322320044576 20488896438384 21109772088032 21343029238176 21592465047362 21769452465783 23555416415304 26037972557113 28405060971396 29025936621044 29346665202492 30483480066864 31407221887072 31664658132048 32388697571043 37873414628528 39128886936656 40240503042811 40977792876768 43184930094724 43538904931566 47110832830608 52075945114226 56810121942792 58051873242088 58693330404984 60966960133728 63329316264096 64777395142086 75746829257056 78113917671339 78257773873312 80481006085622 86369860189448 87077809863132 94221665661216 104151890228452 113620243885584 116103746484176 117386660809968 120721509128433 129554790284172 156227835342678 160962012171244 172739720378896 174155619726264 208303780456904 227240487771168 232207492968352 234773321619936 241443018256866 259109580568344 312455670685356 321924024342488 345479440757792 348311239452528 416607560913808 442645533470921 482886036513732 518219161136688 624911341370712 643848048684976 696622478905056 833215121827616 885291066941842 965772073027464 1036438322273376 1249822682741424 1287696097369952 1327936600412763 1770582133883684 1931544146054928 2499645365482848 2655873200825526 3541164267767368 3863088292109856 5311746401651052 7082328535534736 10623492803302104 14164657071069472 21246985606604208 42493971213208416
- Sum of all divisors σ(n): 134892857938535424
- Sum of proper divisors (its aliquot sum) s(n): 92398886725327008
- 42493971213208416 is an abundant number, because the sum of its proper divisors (92398886725327008) is greater than itself. Its abundance is 49904915512118592
Bases of 42493971213208416
- Binary: 100101101111100000001010101010110100001001001011011000002
- Hexadecimal: 0x96F80AAB424B60
- Base-36: BMEUSVMIR1C
Squares and roots of 42493971213208416
- 42493971213208416 squared (424939712132084162) is 1805737589468985538377700653229056
- 42493971213208416 cubed (424939712132084163) is 76732961145503428029582086369413328018508314935296
-
The
square root of 42493971213208416 is 206140658.8065741483 -
The
cube root of 42493971213208416 is 348960.1003452799
Scales and comparisons
How big is 42493971213208416?- 42,493,971,213,208,416 seconds is equal to 1,351,176,842 years, 5 weeks, 5 hours, 53 minutes, 36 seconds.
-
To count from 1 to 42,493,971,213,208,416 would take you about four billion, fifty-three million, five hundred thirty thousand, five hundred twenty-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 42493971213208416 cubic inches would be around 29080 feet tall.
Recreational maths with 42493971213208416
- 42493971213208416 backwards is 61480231217939424
- 42493971213208416 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42493971213208416's digits is 66
- More coming soon!
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The information we have on file for 42493971213208416 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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