42457821653458944
42,457,821,653,458,944 is an even composite number composed of three prime numbers multiplied together.
What does the number 42457821653458944 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 672 divisors.
42457821653458944 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 42457821653458944:
213 × 315 × 6012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 601 × 601)See below for interesting mathematical facts about the number 42457821653458944 from the Numbermatics database.
Names of 42457821653458944
- Cardinal: 42457821653458944 can be written as Forty-two quadrillion, four hundred fifty-seven trillion, eight hundred twenty-one billion, six hundred fifty-three million, four hundred fifty-eight thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 4.2457821653458944 × 1016
Factors of 42457821653458944
Divisors of 42457821653458944
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 601 648 729 768 864 972 1024 1152 1202 1296 1458 1536 1728 1803 1944 2048 2187 2304 2404 2592 2916 3072 3456 3606 3888 4096 4374 4608 4808 5184 5409 5832 6144 6561 6912 7212 7776 8192 8748 9216 9616 10368 10818 11664 12288 13122 13824 14424 15552 16227 17496 18432 19232 19683 20736 21636 23328 24576 26244 27648 28848 31104 32454 34992 36864 38464 39366 41472 43272 46656 48681 52488 55296 57696 59049 62208 64908 69984 73728 76928 78732 82944 86544 93312 97362 104976 110592 115392 118098 124416 129816 139968 146043 153856 157464 165888 173088 177147 186624 194724 209952 221184 230784 236196 248832 259632 279936 292086 307712 314928 331776 346176 354294 361201 373248 389448 419904 438129 461568 472392 497664 519264 531441 559872 584172 615424 629856 663552 692352 708588 722402 746496 778896 839808 876258 923136 944784 995328 1038528 1062882 1083603 1119744 1168344 1230848 1259712 1314387 1384704 1417176 1444804 1492992 1557792 1594323 1679616 1752516 1846272 1889568 1990656 2077056 2125764 2167206 2239488 2336688 2461696 2519424 2628774 2769408 2834352 2889608 2985984 3115584 3188646 3250809 3359232 3505032 3692544 3779136 3943161 4154112 4251528 4334412 4478976 4673376 4782969 4923392 5038848 5257548 5538816 5668704 5779216 5971968 6231168 6377292 6501618 6718464 7010064 7385088 7558272 7886322 8308224 8503056 8668824 8957952 9346752 9565938 9752427 10077696 10515096 11077632 11337408 11558432 11829483 12462336 12754584 13003236 13436928 14020128 14348907 14770176 15116544 15772644 16616448 17006112 17337648 17915904 18693504 19131876 19504854 20155392 21030192 22155264 22674816 23116864 23658966 24924672 25509168 26006472 26873856 28040256 28697814 29257281 30233088 31545288 33232896 34012224 34675296 35488449 37387008 38263752 39009708 40310784 42060384 44310528 45349632 46233728 47317932 49849344 51018336 52012944 53747712 56080512 57395628 58514562 60466176 63090576 66465792 68024448 69350592 70976898 74774016 76527504 78019416 80621568 84120768 87771843 90699264 92467456 94635864 99698688 102036672 104025888 106465347 112161024 114791256 117029124 120932352 126181152 132931584 136048896 138701184 141953796 149548032 153055008 156038832 161243136 168241536 175543686 181398528 184934912 189271728 199397376 204073344 208051776 212930694 224322048 229582512 234058248 241864704 252362304 263315529 272097792 277402368 283907592 299096064 306110016 312077664 319396041 336483072 351087372 362797056 369869824 378543456 398794752 408146688 416103552 425861388 448644096 459165024 468116496 483729408 504724608 526631058 544195584 554804736 567815184 598192128 612220032 624155328 638792082 672966144 702174744 725594112 739739648 757086912 789946587 816293376 832207104 851722776 897288192 918330048 936232992 958188123 1009449216 1053262116 1088391168 1109609472 1135630368 1196384256 1224440064 1248310656 1277584164 1345932288 1404349488 1451188224 1479479296 1514173824 1579893174 1632586752 1664414208 1703445552 1794576384 1836660096 1872465984 1916376246 2018898432 2106524232 2176782336 2219218944 2271260736 2369839761 2448880128 2496621312 2555168328 2691864576 2808698976 2874564369 2958958592 3028347648 3159786348 3265173504 3328828416 3406891104 3589152768 3673320192 3744931968 3832752492 4037796864 4213048464 4353564672 4438437888 4542521472 4739679522 4897760256 4993242624 5110336656 5383729152 5617397952 5749128738 6056695296 6319572696 6530347008 6657656832 6813782208 7109519283 7346640384 7489863936 7665504984 8075593728 8426096928 8623693107 8876875776 9085042944 9479359044 9795520512 9986485248 10220673312 10767458304 11234795904 11498257476 12113390592 12639145392 13060694016 13315313664 13627564416 14219038566 14693280768 14979727872 15331009968 16151187456 16852193856 17247386214 18170085888 18958718088 19591041024 19972970496 20441346624 21328557849 22469591808 22996514952 24226781184 25278290784 26630627328 27255128832 28438077132 29386561536 29959455744 30662019936 32302374912 33704387712 34494772428 36340171776 37917436176 39182082048 39945940992 40882693248 42657115698 44939183616 45993029904 48453562368 50556581568 54510257664 56876154264 58773123072 59918911488 61324039872 63985673547 67408775424 68989544856 72680343552 75834872352 79891881984 81765386496 85314231396 89878367232 91986059808 96907124736 101113163136 109020515328 113752308528 117546246144 119837822976 122648079744 127971347094 134817550848 137979089712 145360687104 151669744704 163530772992 170628462792 179756734464 183972119616 191957020641 202226326272 218041030656 227504617056 239675645952 245296159488 255942694188 269635101696 275958179424 290721374208 303339489408 327061545984 341256925584 359513468928 367944239232 383914041282 404452652544 436082061312 455009234112 490592318976 511885388376 539270203392 551916358848 575871061923 606678978816 654123091968 682513851168 719026937856 735888478464 767828082564 808905305088 872164122624 910018468224 981184637952 1023770776752 1078540406784 1103832717696 1151742123846 1213357957632 1308246183936 1365027702336 1471776956928 1535656165128 1617810610176 1727613185769 1820036936448 1962369275904 2047541553504 2157080813568 2207665435392 2303484247692 2426715915264 2616492367872 2730055404672 2943553913856 3071312330256 3235621220352 3455226371538 3640073872896 3924738551808 4095083107008 4415330870784 4606968495384 4853431830528 5182839557307 5460110809344 5887107827712 6142624660512 6471242440704 6910452743076 7280147745792 7849477103616 8190166214016 8830661741568 9213936990768 9706863661056 10365679114614 10920221618688 11774215655424 12285249321024 13820905486152 14560295491584 16380332428032 17661323483136 18427873981536 19413727322112 20731358229228 21840443237376 23548431310848 24570498642048 27641810972304 29120590983168 32760664856064 35322646966272 36855747963072 41462716458456 43680886474752 49140997284096 55283621944608 58241181966336 65521329712128 70645293932544 73711495926144 82925432916912 87361772949504 98281994568192 110567243889216 131042659424256 147422991852288 165850865833824 174723545899008 196563989136384 221134487778432 262085318848512 294845983704576 331701731667648 393127978272768 442268975556864 524170637697024 589691967409152 663403463335296 786255956545536 884537951113728 1179383934818304 1326806926670592 1572511913091072 1769075902227456 2358767869636608 2653613853341184 3538151804454912 4717535739273216 5307227706682368 7076303608909824 10614455413364736 14152607217819648 21228910826729472 42457821653458944
- Sum of all divisors σ(n): 127577963300804640
- Sum of proper divisors (its aliquot sum) s(n): 85120141647345696
- 42457821653458944 is an abundant number, because the sum of its proper divisors (85120141647345696) is greater than itself. Its abundance is 42662319993886752
Bases of 42457821653458944
- Binary: 100101101101011100101001111100011001011101100000000000002
- Hexadecimal: 0x96D729F1976000
- Base-36: BM21I000000
Squares and roots of 42457821653458944
- 42457821653458944 squared (424578216534589442) is 1802666619556927177410639493595136
- 42457821653458944 cubed (424578216534589443) is 76537297833791739008255556350250068608028334096384
-
The
square root of 42457821653458944 is 206052958.3710433991 -
The
cube root of 42457821653458944 is 348861.1189882657
Scales and comparisons
How big is 42457821653458944?- 42,457,821,653,458,944 seconds is equal to 1,350,027,397 years, 47 weeks, 3 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 42,457,821,653,458,944 would take you about four billion, fifty million, eighty-two thousand, one hundred ninety-three 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 42457821653458944 cubic inches would be around 29071.8 feet tall.
Recreational maths with 42457821653458944
- 42457821653458944 backwards is 44985435612875424
- 42457821653458944 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42457821653458944's digits is 81
- More coming soon!
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The information we have on file for 42457821653458944 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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