42246960771310944000
42,246,960,771,310,944,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42246960771310944000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
42246960771310944000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 42246960771310944000:
28 × 3 × 53 × 11 × 97 × 412439089067
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 97 × 412439089067)See below for interesting mathematical facts about the number 42246960771310944000 from the Numbermatics database.
Names of 42246960771310944000
- Cardinal: 42246960771310944000 can be written as Forty-two quintillion, two hundred forty-six quadrillion, nine hundred sixty trillion, seven hundred seventy-one billion, three hundred ten million, nine hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.2246960771310944 × 1019
Factors of 42246960771310944000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 412439089185
Divisors of 42246960771310944000
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 97 100 110 120 125 128 132 150 160 165 176 192 194 200 220 240 250 256 264 275 291 300 320 330 352 375 384 388 400 440 480 485 500 528 550 582 600 640 660 704 750 768 776 800 825 880 960 970 1000 1056 1067 1100 1164 1200 1280 1320 1375 1408 1455 1500 1552 1600 1650 1760 1920 1940 2000 2112 2134 2200 2328 2400 2425 2640 2750 2816 2910 3000 3104 3200 3201 3300 3520 3840 3880 4000 4125 4224 4268 4400 4656 4800 4850 5280 5335 5500 5820 6000 6208 6400 6402 6600 7040 7275 7760 8000 8250 8448 8536 8800 9312 9600 9700 10560 10670 11000 11640 12000 12125 12416 12804 13200 14080 14550 15520 16000 16005 16500 17072 17600 18624 19200 19400 21120 21340 22000 23280 24000 24250 24832 25608 26400 26675 29100 31040 32000 32010 33000 34144 35200 36375 37248 38800 42240 42680 44000 46560 48000 48500 51216 52800 53350 58200 62080 64020 66000 68288 70400 72750 74496 77600 80025 85360 88000 93120 96000 97000 102432 105600 106700 116400 124160 128040 132000 133375 136576 145500 155200 160050 170720 176000 186240 194000 204864 211200 213400 232800 256080 264000 266750 273152 291000 310400 320100 341440 352000 372480 388000 400125 409728 426800 465600 512160 528000 533500 582000 620800 640200 682880 776000 800250 819456 853600 931200 1024320 1056000 1067000 1164000 1280400 1365760 1552000 1600500 1707200 1862400 2048640 2134000 2328000 2560800 3104000 3201000 3414400 4097280 4268000 4656000 5121600 6402000 6828800 8536000 9312000 10243200 12804000 17072000 20486400 25608000 34144000 51216000 102432000 412439089067 824878178134 1237317267201 1649756356268 2062195445335 2474634534402 3299512712536 4124390890670 4536829979737 4949269068804 6186586336005 6599025425072 8248781781340 9073659959474 9898538137608 10310977226675 12373172672010 13198050850144 13610489939211 16497563562680 18147319918948 19797076275216 20621954453350 22684149898685 24746345344020 26396101700288 27220979878422 30932931680025 32995127125360 36294639837896 39594152550432 40006591639499 41243908906700 45368299797370 49492690688040 51554886133375 52792203400576 54441959756844 61865863360050 65990254250720 68052449696055 72589279675792 79188305100864 80013183278998 82487817813400 90736599594740 98985381376080 103109772266750 105584406801152 108883919513688 113420749493425 120019774918497 123731726720100 131980508501440 136104899392110 145178559351584 154664658400125 158376610201728 160026366557996 164975635626800 181473199189480 197970762752160 200032958197495 206219544533500 217767839027376 226841498986850 240039549836994 247463453440200 263961017002880 272209798784220 290357118703168 309329316800250 316753220403456 320052733115992 329951271253600 340262248480275 362946398378960 395941525504320 400065916394990 412439089067000 435535678054752 440072508034489 453682997973700 480079099673988 494926906880400 527922034005760 544419597568440 567103747467125 580714237406336 600098874592485 618658633600500 640105466231984 659902542507200 680524496960550 725892796757920 791883051008640 800131832789980 824878178134000 871071356109504 880145016068978 907365995947400 960158199347976 989853813760800 1000164790987475 1088839195136880 1134207494934250 1161428474812672 1200197749184970 1237317267201000 1280210932463968 1319805085014400 1320217524103467 1361048993921100 1451785593515840 1583766102017280 1600263665579960 1649756356268000 1701311242401375 1742142712219008 1760290032137956 1814731991894800 1920316398695952 1979707627521600 2000329581974950 2177678390273760 2200362540172445 2268414989868500 2400395498369940 2474634534402000 2560421864927936 2639610170028800 2640435048206934 2722097987842200 2903571187031680 3000494372962425 3200527331159920 3299512712536000 3402622484802750 3484285424438016 3520580064275912 3629463983789600 3840632797391904 3959415255043200 4000659163949900 4355356780547520 4400725080344890 4536829979737000 4800790996739880 4949269068804000 5000823954937375 5120843729855872 5280870096413868 5444195975684400 5807142374063360 6000988745924850 6401054662319840 6599025425072000 6601087620517335 6805244969605500 7041160128551824 7258927967579200 7681265594783808 7918830510086400 8001318327899800 8710713561095040 8801450160689780 9073659959474000 9601581993479760 9898538137608000 10001647909874750 10241687459711744 10561740192827736 10888391951368800 11001812700862225 12001977491849700 12802109324639680 13198050850144000 13202175241034670 13610489939211000 14082320257103648 14517855935158400 15002471864812125 15362531189567616 16002636655799600 17421427122190080 17602900321379560 18147319918948000 19203163986959520 19797076275216000 20003295819749500 21123480385655472 21776783902737600 22003625401724450 24003954983699400 25604218649279360 26404350482069340 27220979878422000 28164640514207296 29035711870316800 30004943729624250 30725062379135232 32005273311599200 33005438102586675 35205800642759120 36294639837896000 38406327973919040 39594152550432000 40006591639499000 42246960771310944 43553567805475200 44007250803448900 48007909967398800 51208437298558720 52808700964138680 54441959756844000 55009063504311125 56329281028414592 60009887459248500 64010546623198400 66010876205173350 70411601285518240 72589279675792000 76812655947838080 80013183278998000 84493921542621888 87107135610950400 88014501606897800 96015819934797600 105617401928277360 108883919513688000 110018127008622250 112658562056829184 120019774918497000 128021093246396800 132021752410346700 140823202571036480 145178559351584000 153625311895676160 160026366557996000 165027190512933375 168987843085243776 176029003213795600 192031639869595200 211234803856554720 217767839027376000 220036254017244500 240039549836994000 256042186492793600 264043504820693400 281646405142072960 320052733115992000 330054381025866750 337975686170487552 352058006427591200 384063279739190400 422469607713109440 435535678054752000 440072508034489000 480079099673988000 528087009641386800 563292810284145920 640105466231984000 660108762051733500 704116012855182400 768126559478380800 844939215426218880 880145016068978000 960158199347976000 1056174019282773600 1280210932463968000 1320217524103467000 1408232025710364800 1689878430852437760 1760290032137956000 1920316398695952000 2112348038565547200 2640435048206934000 2816464051420729600 3520580064275912000 3840632797391904000 4224696077131094400 5280870096413868000 7041160128551824000 8449392154262188800 10561740192827736000 14082320257103648000 21123480385655472000 42246960771310944000
- Sum of all divisors σ(n): 154658085771176612352
- Sum of proper divisors (its aliquot sum) s(n): 112411124999865668352
- 42246960771310944000 is an abundant number, because the sum of its proper divisors (112411124999865668352) is greater than itself. Its abundance is 70164164228554724352
Bases of 42246960771310944000
- Binary: 1001001010010010110101101011111100110011011101100111111111000000002
- Hexadecimal: 0x24A4B5AFCCDD9FF00
- Base-36: 8WZ0HQ00RQ0AO
Squares and roots of 42246960771310944000
- 42246960771310944000 squared (422469607713109440002) is 1784805694412685792381052334171136000000
- 42246960771310944000 cubed (422469607713109440003) is 75402616156265125177314826816452099329502365712384000000000
-
The
square root of 42246960771310944000 is 6499766208.9732846019 -
The
cube root of 42246960771310944000 is 3482826.3682531977
Scales and comparisons
How big is 42246960771310944000?- 42,246,960,771,310,944,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 42,246,960,771,310,944,000 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 42246960771310944000 cubic inches would be around 290235.5 feet tall.
Recreational maths with 42246960771310944000
- 42246960771310944000 backwards is 00044901317706964224
- The number of decimal digits it has is: 20
- The sum of 42246960771310944000's digits is 69
- More coming soon!
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The information we have on file for 42246960771310944000 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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