42409052261635520384
42,409,052,261,635,520,384 is an even composite number composed of nine prime numbers multiplied together.
What does the number 42409052261635520384 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2048 divisors.
42409052261635520384 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 42409052261635520384:
27 × 7 × 11 × 17 × 31 × 71 × 421 × 521 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 17 × 31 × 71 × 421 × 521 × 524287)See below for interesting mathematical facts about the number 42409052261635520384 from the Numbermatics database.
Names of 42409052261635520384
- Cardinal: 42409052261635520384 can be written as Forty-two quintillion, four hundred nine quadrillion, fifty-two trillion, two hundred sixty-one billion, six hundred thirty-five million, five hundred twenty thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 4.2409052261635520384 × 1019
Factors of 42409052261635520384
Divisors of 42409052261635520384
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 31 32 34 44 56 62 64 68 71 77 88 112 119 124 128 136 142 154 176 187 217 224 238 248 272 284 308 341 352 374 421 434 448 476 496 497 521 527 544 568 616 682 704 748 781 842 868 896 952 992 994 1042 1054 1088 1136 1207 1232 1309 1364 1408 1496 1562 1684 1736 1904 1984 1988 2084 2108 2176 2201 2272 2387 2414 2464 2618 2728 2947 2992 3124 3368 3472 3647 3689 3808 3968 3976 4168 4216 4402 4544 4631 4774 4828 4928 5236 5456 5467 5731 5797 5894 5984 6248 6736 6944 7157 7294 7378 7616 7952 8336 8432 8449 8804 8857 9088 9262 9548 9656 9856 10472 10912 10934 11462 11594 11788 11968 12496 13051 13277 13472 13888 14314 14588 14756 15232 15407 15904 16151 16672 16864 16898 17608 17714 18524 19096 19312 20944 21824 21868 22924 23188 23576 23936 24211 24992 26102 26554 26944 27776 28628 29176 29512 29891 30814 31808 32302 32417 33344 33728 33796 35216 35428 36991 37048 37417 38192 38624 40117 40579 41888 43648 43736 45848 46376 47152 48422 49984 50099 52204 53108 53888 57256 58352 59024 59782 61628 61999 63616 64604 64834 66688 67456 67592 70432 70856 73982 74096 74834 76384 77248 78727 80234 81158 83776 87472 91357 91696 92752 92939 94304 96844 97427 99968 100198 104408 106216 113057 114512 116704 118048 119564 123256 123998 129208 129668 135184 140864 141712 143561 147964 148192 149668 152768 154496 157454 160468 162316 167552 169477 174944 177661 182714 183392 185504 185878 188608 193688 194854 200396 208816 209237 212432 219341 221867 226114 229024 233408 236096 239128 246512 247996 258416 258937 259336 261919 270368 274567 281728 283424 287122 295928 296384 299336 305536 314908 320936 324632 328801 338954 349888 355322 365428 366784 371008 371756 377216 387376 389708 400792 406901 411587 417632 418474 424864 438682 443734 452228 458048 466816 472192 478256 493024 495992 508147 516832 517874 518672 523838 524287 540736 549134 551089 566848 574244 591856 592768 598672 628847 629816 641872 649264 657602 677908 681989 699776 710644 730856 733568 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1254854191668704 1257384139635778 1271864571186286 1308234946529152 1312892460579392 1333282578647998 1376291694088256 1418790012433024 1437010445298032 1453559509927184 1481383689452128 1526823598129159 1573970170042886 1597087153032896 1624743401334592 1696905100097452 1751643974294144 1771768560395869 1798823051477584 1828922384924768 1849984830816416 1939320114397088 1943230033982566 2024878354738136 2195994835420232 2220834324551504 2289411156426016 2394098016350656 2408510464654448 2509708383337408 2514768279271556 2543729142372572 2625784921158784 2666565157295996 2752583388176512 2784207737764937 2874020890596064 2907119019854368 2962767378904256 3053647196258318 3147940340085772 3194174306065792 3249486802669184 3393810200194904 3543537120791738 3597646102955168 3657844769849536 3699969661632832 3878640228794176 3886460067965132 4049756709476272 4302866503818539 4391989670840464 4441668649103008 4578822312852032 4666489025267993 4788196032701312 4817020929308896 5019416766674816 5029536558543112 5087458284745144 5333130314591992 5568415475529874 5748041781192128 5814238039708736 5925534757808512 6107294392516636 6295880680171544 6787620400389808 7087074241583476 7195292205910336 7315689539699072 7399939323265664 7757280457588352 7772920135930264 8099513418952544 8605733007637078 8783979341680928 8883337298206016 9157644625704064 9332978050535986 9634041858617792 10059073117086224 10174916569490288 10666260629183984 10687765186904113 11136830951059748 11496083562384256 11628476079417472 12214588785033272 12591761360343088 13575240800779616 14174148483166952 14390584411820672 15545840271860528 16199026837905088 17211466015274156 17567958683361856 17766674596412032 18665956101071972 19268083717235584 19489454164354559 20118146234172448 20349833138980576 21332521258367968 21375530373808226 22273661902119496 24429177570066544 25183522720686176 27150481601559232 28348296966333904 30120065526729773 31091680543721056 32398053675810176 34422932030548312 35135917366723712 37331912202143944 38978908328709118 40236292468344896 40699666277961152 42665042516735936 42751060747616452 44547323804238992 47331531542003929 48858355140133088 50367045441372352 54300963203118464 56696593932667808 60240131053459546 62183361087442112 68845864061096624 74663824404287888 77957816657418236 80472584936689792 81399332555922304 85330085033471872 85502121495232904 89094647608477984 94663063084007858 97716710280266176 100734090882744704 113393187865335616 120480262106919092 124366722174884224 137691728122193248 149327648808575776 155915633314836472 171004242990465808 178189295216955968 189326126168015716 195433420560532352 226786375730671232 240960524213838184 275383456244386496 298655297617151552 311831266629672944 331320720794027503 342008485980931616 356378590433911936 378652252336031432 481921048427676368 550766912488772992 597310595234303104 623662533259345888 662641441588055006 684016971961863232 757304504672062864 963842096855352736 1247325066518691776 1325282883176110012 1368033943923726464 1514609009344125728 1927684193710705472 2494650133037383552 2650565766352220024 3029218018688251456 3855368387421410944 5301131532704440048 6058436037376502912 10602263065408880096 21204526130817760192 42409052261635520384
- Sum of all divisors σ(n): 117251731522867691520
- Sum of proper divisors (its aliquot sum) s(n): 74842679261232171136
- 42409052261635520384 is an abundant number, because the sum of its proper divisors (74842679261232171136) is greater than itself. Its abundance is 32433626999596650752
Bases of 42409052261635520384
- Binary: 1001001100100010110011100001010110110100111100001011110111100000002
- Hexadecimal: 0x24C8B3856D3C2F780
- Base-36: 8Y7CICYOWPRI8
Squares and roots of 42409052261635520384
- 42409052261635520384 squared (424090522616355203842) is 1798527713730132846477377462606479507456
- 42409052261635520384 cubed (424090522616355203843) is 76273855805581052159996206664866078681275658655482567983104
-
The
square root of 42409052261635520384 is 6512223296.3585885001 -
The
cube root of 42409052261635520384 is 3487274.9411531921
Scales and comparisons
How big is 42409052261635520384?- 42,409,052,261,635,520,384 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,409,052,261,635,520,384 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 42409052261635520384 cubic inches would be around 290606.2 feet tall.
Recreational maths with 42409052261635520384
- 42409052261635520384 backwards is 48302553616225090424
- 42409052261635520384 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42409052261635520384's digits is 71
- More coming soon!
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Cite this page
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"Number 42409052261635520384 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 42409052261635520384 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/42409052261635520384/
Chicago style:
Numbermatics. 2024. "Number 42409052261635520384 - Facts about the integer". https://numbermatics.com/n/42409052261635520384/
The information we have on file for 42409052261635520384 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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