42427292129356320
42,427,292,129,356,320 is an even composite number composed of eight prime numbers multiplied together.
42427292129356320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42427292129356320:
25 × 33 × 5 × 19 × 29 × 131 × 4519 × 30109
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 19 × 29 × 131 × 4519 × 30109)See below for interesting mathematical facts about the number 42427292129356320 from the Numbermatics database.
Names of 42427292129356320
- Cardinal: 42427292129356320 can be written as Forty-two quadrillion, four hundred twenty-seven trillion, two hundred ninety-two billion, one hundred twenty-nine million, three hundred fifty-six thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.242729212935632 × 1016
Factors of 42427292129356320
Divisors of 42427292129356320
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 29 30 32 36 38 40 45 48 54 57 58 60 72 76 80 87 90 95 96 108 114 116 120 131 135 144 145 152 160 171 174 180 190 216 228 232 240 261 262 270 285 288 290 304 342 348 360 380 393 432 435 456 464 480 513 522 524 540 551 570 580 608 655 684 696 720 760 783 786 855 864 870 912 928 1026 1044 1048 1080 1102 1140 1160 1179 1305 1310 1368 1392 1440 1520 1566 1572 1653 1710 1740 1824 1965 2052 2088 2096 2160 2204 2280 2320 2358 2489 2565 2610 2620 2736 2755 2784 3040 3132 3144 3306 3420 3480 3537 3799 3915 3930 4104 4176 4192 4320 4408 4519 4560 4640 4716 4959 4978 5130 5220 5240 5472 5510 5895 6264 6288 6612 6840 6960 7074 7467 7598 7830 7860 8208 8265 8352 8816 9038 9120 9432 9918 9956 10260 10440 10480 11020 11397 11790 12445 12528 12576 13224 13557 13680 13920 14148 14877 14934 15196 15660 15720 16416 16530 17632 17685 18076 18864 18995 19836 19912 20520 20880 20960 22040 22401 22595 22794 23580 24795 24890 25056 26448 27114 27360 28296 29754 29868 30109 30392 31320 31440 33060 34191 35370 36152 37335 37728 37990 39672 39824 40671 41040 41760 44080 44802 45190 45588 47160 49590 49780 52896 54228 56592 56985 59508 59736 60218 60784 62640 62880 66120 67203 67785 68382 70740 72181 72304 74385 74670 75980 79344 79648 81342 82080 85861 88160 89604 90327 90380 91176 94320 99180 99560 102573 108456 112005 113184 113970 119016 119472 120436 121568 122013 125280 131051 132240 134406 135570 136764 141480 144362 144608 148770 149340 150545 151960 158688 162684 170955 171722 179208 180654 180760 182352 188640 198360 199120 203355 205146 216543 216912 224010 227940 238032 238944 240872 244026 257583 262102 264480 268812 270981 271140 273528 282960 288724 297540 298680 301090 303920 325368 336015 341910 343444 358416 360905 361308 361520 364704 393153 396720 398240 406710 410292 429305 433086 433824 448020 451635 455880 476064 481744 488052 512865 515166 524204 537624 541962 542280 547056 565920 572071 577448 591989 595080 597360 602180 607840 610065 649629 650736 655255 672030 683820 686888 716832 721810 722616 723040 772749 786306 793440 812943 813420 820584 858610 866172 873161 896040 903270 911760 963488 976104 1025730 1030332 1048408 1075248 1082715 1083924 1084560 1094112 1144142 1154896 1179459 1183978 1190160 1194720 1204360 1220130 1287915 1299258 1301472 1310510 1344060 1354905 1367640 1373776 1443620 1445232 1545498 1572612 1625886 1626840 1641168 1716213 1717220 1732344 1746322 1775967 1792080 1806540 1823520 1948887 1952208 1965765 2051460 2060664 2096816 2150496 2165430 2167848 2169120 2288284 2309792 2318247 2358918 2367956 2380320 2408720 2440260 2489969 2575830 2598516 2619483 2621020 2688120 2709810 2735280 2747552 2860355 2887240 2890464 2959945 3090996 3145224 3248145 3251772 3253680 3282336 3432426 3434440 3464688 3492644 3538377 3551934 3584160 3613080 3863745 3897774 3904416 3931530 3944279 4064715 4102920 4121328 4193632 4330860 4335696 4365805 4576568 4636494 4717836 4735912 4817440 4880520 4979938 5148639 5151660 5197032 5238966 5242040 5327901 5376240 5419620 5470560 5720710 5774480 5897295 5919890 6181992 6290448 6496290 6503544 6507360 6864852 6868880 6929376 6985288 7076754 7103868 7226160 7469907 7727490 7795548 7858449 7863060 7888558 8129430 8205840 8242656 8581065 8661720 8671392 8731610 8879835 9153136 9272988 9435672 9471824 9744435 9761040 9959876 10297278 10303320 10394064 10477932 10484080 10655802 10752480 10839240 11247791 11441420 11548960 11591235 11794590 11832837 11839780 12363984 12449845 12580896 12992580 13007088 13097415 13729704 13737760 13970576 14153508 14207736 14452320 14939814 15445917 15454980 15591096 15716898 15726120 15777116 15983703 16258860 16411680 16590059 17162130 17167681 17323440 17463220 17691885 17759670 18306272 18545976 18871344 18943648 19488870 19522080 19721395 19919752 20594556 20606640 20788128 20955864 20968160 21311604 21678480 22409721 22495582 22882840 23182470 23575347 23589180 23665674 23679560 24727968 24899690 25743195 25985160 26014176 26194830 26639505 27459408 27941152 28307016 28415472 29879628 30891834 30909960 31182192 31433796 31452240 31554232 31967406 32517720 33180118 33743373 34324260 34335362 34646880 34926440 35383770 35498511 35519340 37091952 37349535 37742688 38977740 39292245 39442790 39839504 41189112 41213280 41911728 42623208 43356960 44819442 44991164 45765680 46364940 47150694 47178360 47331348 47359120 49770177 49799380 51486390 51503043 51970320 52389660 53279010 54918816 56238955 56614032 56830944 59164185 59759256 61783668 61819920 62364384 62867592 62904480 63108464 63934812 65035440 66360236 67229163 67486746 68648520 68670724 69852880 70767540 70997022 71038680 74183904 74699070 74941301 77229585 77955480 78584490 78885580 79679008 79918515 82378224 82950295 83823456 85246416 85838405 89638884 89982328 91531360 92729880 94301388 94356720 94662696 94718240 99540354 99598760 101230119 102972780 103006086 103940640 104779320 106495533 106558020 112048605 112477910 113228064 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1893990988320 1925013254508 2024202868767 2031958435314 2067606828916 2130739861860 2138903616120 2233603165536 2249114298630 2347161547320 2399055251872 2406266568135 2566684339344 2584508536145 2698937158356 2709277913752 2792003956920 2840986482480 2851871488160 2998819064840 3047937652971 3101410243374 3129548729760 3208355424180 3373671447945 3386597392190 3409183778976 3598582877808 3722671942560 3850026509016 4048405737534 4063916870628 4135213657832 4261479723720 4277807232240 4498228597260 4652115365061 4694323094640 4812533136270 5079896088285 5133368678688 5169017072290 5397874316712 5418555827504 5584007913840 5681972964960 5997638129680 6095875305942 6202820486748 6416710848360 6747342895890 6773194784380 7197165755616 7700053018032 7753525608435 8096811475068 8127833741256 8270427315664 8522959447440 8555614464480 8996457194520 9143812958913 9304230730122 9388646189280 9625066272540 9821132437351 10121014343835 10159792176570 10338034144580 10795748633424 10837111655008 11168015827680 11995276259360 12191750611884 12405640973496 12833421696720 13494685791780 13546389568760 13956346095183 15239688264855 15400106036064 15507051216870 16193622950136 16255667482512 16540854631328 17045918894880 17992914389040 18287625917826 18608461460244 19250132545080 19642264874702 20242028687670 20319584353140 20676068289160 21591497266848 23260576825305 24383501223768 24811281946992 25666843393440 26989371583560 27092779137520 27912692190366 29463397312053 30479376529710 31014102433740 32387245900272 32511334965024 35985828778080 36575251835652 37216922920488 38500265090160 39284529749404 40484057375340 40639168706280 41352136578320 45719064794565 46521153650610 48767002447536 49105662186755 49622563893984 53978743167120 54185558275040 55825384380732 58926794624106 60958753059420 62028204867480 64774491800544 69781730475915 73150503671304 74433845840976 77000530180320 78569059498808 80968114750680 81278337412560 82704273156640 88390191936159 91438129589130 93042307301220 97534004895072 98211324373510 107957486334240 111650768761464 117853589248212 121917506118840 124056409734960 139563460951830 146301007342608 147316986560265 148867691681952 157138118997616 161936229501360 162556674825120 176780383872318 182876259178260 186084614602440 196422648747020 223301537522928 235707178496424 243835012237680 248112819469920 265170575808477 279126921903660 292602014685216 294633973120530 314276237995232 323872459002720 353560767744636 365752518356520 372169229204880 392845297494040 441950959680795 446603075045856 471414356992848 487670024475360 530341151616954 558253843807320 589267946241060 707121535489272 731505036713040 744338458409760 785690594988080 883901919361590 942828713985696 1060682303233908 1116507687614640 1178535892482120 1325852879042385 1414243070978544 1463010073426080 1571381189976160 1767803838723180 2121364606467816 2233015375229280 2357071784964240 2651705758084770 2828486141957088 3535607677446360 4242729212935632 4714143569928480 5303411516169540 7071215354892720 8485458425871264 10606823032339080 14142430709785440 21213646064678160 42427292129356320
- Sum of all divisors σ(n): 162976941388800000
- Sum of proper divisors (its aliquot sum) s(n): 120549649259443680
- 42427292129356320 is an abundant number, because the sum of its proper divisors (120549649259443680) is greater than itself. Its abundance is 78122357130087360
Bases of 42427292129356320
- Binary: 100101101011101101100101101111000010011011101010001000002
- Hexadecimal: 0x96BB65BC26EA20
- Base-36: BLR7WXHLJC0
Squares and roots of 42427292129356320
- 42427292129356320 squared (424272921293563202) is 1800075117429740738103937523942400
- 42427292129356320 cubed (424272921293563203) is 76372312861976992694110404113270331587900755968000
-
The
square root of 42427292129356320 is 205978863.3072731567 -
The
cube root of 42427292129356320 is 348777.4821197399
Scales and comparisons
How big is 42427292129356320?- 42,427,292,129,356,320 seconds is equal to 1,349,056,653 years, 25 weeks, 13 hours, 12 minutes.
-
To count from 1 to 42,427,292,129,356,320 would take you about four billion, forty-seven million, one hundred sixty-nine thousand, nine hundred sixty 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 42427292129356320 cubic inches would be around 29064.8 feet tall.
Recreational maths with 42427292129356320
- 42427292129356320 backwards is 02365392129272424
- The number of decimal digits it has is: 17
- The sum of 42427292129356320's digits is 63
- More coming soon!
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"Number 42427292129356320 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 42427292129356320 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/42427292129356320/
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The information we have on file for 42427292129356320 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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