42426638266122240
42,426,638,266,122,240 is an even composite number composed of six prime numbers multiplied together.
42426638266122240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 42426638266122240:
214 × 3 × 5 × 132 × 312 × 10312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 31 × 31 × 1031 × 1031)See below for interesting mathematical facts about the number 42426638266122240 from the Numbermatics database.
Names of 42426638266122240
- Cardinal: 42426638266122240 can be written as Forty-two quadrillion, four hundred twenty-six trillion, six hundred thirty-eight billion, two hundred sixty-six million, one hundred twenty-two thousand, two hundred forty.
Scientific notation
- Scientific notation: 4.242663826612224 × 1016
Factors of 42426638266122240
Divisors of 42426638266122240
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 32 39 40 48 52 60 62 64 65 78 80 93 96 104 120 124 128 130 155 156 160 169 186 192 195 208 240 248 256 260 310 312 320 338 372 384 390 403 416 465 480 496 507 512 520 620 624 640 676 744 768 780 806 832 845 930 960 961 992 1014 1024 1031 1040 1209 1240 1248 1280 1352 1488 1536 1560 1612 1664 1690 1860 1920 1922 1984 2015 2028 2048 2062 2080 2418 2480 2496 2535 2560 2704 2883 2976 3072 3093 3120 3224 3328 3380 3720 3840 3844 3968 4030 4056 4096 4124 4160 4805 4836 4960 4992 5070 5120 5155 5239 5408 5766 5952 6045 6144 6186 6240 6448 6656 6760 7440 7680 7688 7936 8060 8112 8192 8248 8320 9610 9672 9920 9984 10140 10240 10310 10478 10816 11532 11904 12090 12288 12372 12480 12493 12896 13312 13403 13520 14415 14880 15360 15376 15465 15717 15872 16120 16224 16384 16496 16640 19220 19344 19840 19968 20280 20480 20620 20956 21632 23064 23808 24180 24576 24744 24960 24986 25792 26195 26624 26806 27040 28830 29760 30720 30752 30930 31434 31744 31961 32240 32448 32992 33280 37479 38440 38688 39680 39936 40209 40560 40960 41240 41912 43264 46128 47616 48360 49152 49488 49920 49972 51584 52390 53248 53612 54080 57660 59520 61440 61504 61860 62465 62868 63488 63922 64480 64896 65984 66560 67015 74958 76880 77376 78585 79360 79872 80418 81120 81920 82480 83824 86528 92256 95232 95883 96720 98976 99840 99944 103168 104780 106496 107224 108160 115320 119040 122880 123008 123720 124930 125736 126976 127844 128960 129792 131968 133120 134030 149916 153760 154752 157170 158720 159744 159805 160836 162240 162409 164960 167648 173056 174239 184512 187395 190464 191766 193440 197952 199680 199888 201045 206336 209560 212992 214448 216320 230640 238080 245760 246016 247440 249860 251472 253952 255688 257920 259584 263936 266240 268060 299832 307520 309504 314340 317440 319488 319610 321672 324480 324818 329920 335296 346112 348478 369024 374790 380928 383532 386880 395904 399360 399776 402090 412672 415493 419120 428896 432640 461280 476160 479415 487227 492032 494880 499720 502944 507904 511376 515840 519168 522717 527872 532480 536120 599664 615040 619008 628680 634880 638976 639220 643344 648960 649636 659840 670592 692224 696956 738048 749580 761856 767064 773760 791808 798720 799552 804180 812045 825344 830986 838240 857792 865280 871195 922560 952320 958830 974454 984064 989760 990791 999440 1005888 1022752 1031680 1038336 1045434 1055744 1062961 1064960 1072240 1199328 1230080 1238016 1246479 1257360 1269760 1278440 1286688 1297920 1299272 1319680 1341184 1384448 1393912 1476096 1499160 1523712 1534128 1547520 1583616 1597440 1599104 1608360 1624090 1650688 1661972 1676480 1715584 1730560 1742390 1845120 1904640 1917660 1948908 1968128 1979520 1981582 1998880 2011776 2045504 2063360 2076672 2077465 2090868 2111488 2125922 2144480 2398656 2436135 2460160 2476032 2492958 2514720 2539520 2556880 2573376 2595840 2598544 2613585 2639360 2682368 2768896 2787824 2952192 2972373 2998320 3068256 3095040 3167232 3188883 3194880 3198208 3216720 3248180 3301376 3323944 3352960 3431168 3461120 3484780 3690240 3809280 3835320 3897816 3936256 3959040 3963164 3997760 4023552 4091008 4126720 4153344 4154930 4181736 4222976 4251844 4288960 4797312 4872270 4920320 4952064 4953955 4985916 5029440 5113760 5146752 5191680 5197088 5227170 5278720 5314805 5364736 5401409 5575648 5904384 5944746 5996640 6136512 6190080 6232395 6334464 6377766 6396416 6433440 6496360 6602752 6647888 6705920 6862336 6922240 6969560 7380480 7618560 7670640 7795632 7872512 7918080 7926328 7995520 8047104 8182016 8253440 8306688 8309860 8363472 8445952 8503688 8577920 9594624 9744540 9840640 9904128 9907910 9971832 10058880 10227520 10293504 10383360 10394176 10454340 10557440 10629610 10729472 10802818 11151296 11808768 11889492 11993280 12273024 12380160 12464790 12668928 12755532 12792832 12866880 12880283 12992720 13295776 13411840 13724672 13818493 13844480 13939120 14760960 14861865 15341280 15591264 15745024 15836160 15852656 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10544573120 10612602624 10705244160 10716395456 10778424540 10884720640 11062085632 11137705358 11496986176 12174839808 12258066252 12365071680 12653487744 12763944960 12851198490 13061664768 13189409792 13265753280 13279571773 13304545280 13395494320 13707945056 13827607040 14150136832 14273658880 14371232720 15218549760 15322582815 15816859680 16074593184 16233119744 16327080960 16344088336 16486762240 16593128448 16706558037 16871316992 17018593280 17134931320 17245479264 17415553024 17687671040 19784114688 19956817920 20093241480 20291399680 20422311936 20430110420 20561917584 20741410560 21089146240 21225205248 21410488320 21432790912 21556849080 21769441280 22124171264 22275410716 22993972352 24349679616 24516132504 24730143360 25306975488 25527889920 25702396980 26123329536 26378819584 26531506560 26559143546 26790988640 27415890112 27655214080 27844263395 28300273664 28742465440 30437099520 30645165630 31633719360 32149186368 32654161920 32688176672 32973524480 33186256896 33413116074 33742633984 34037186560 34269862640 34490958528 35375342080 39568229376 39838715319 39913635840 40186482960 40582799360 40860220840 41123835168 41482821120 42178292480 42450410496 42820976640 42865581824 43113698160 43538882560 44248342528 44550821432 45987944704 48699359232 49032265008 49460286720 50613950976 51055779840 51404793960 52246659072 52757639168 53063013120 53118287092 53581977280 54831780224 55310428160 55688526790 56600547328 57484930880 60874199040 61290331260 63267438720 64298372736 65308323840 65376353344 65947048960 66372513792 66397858865 66826232148 67485267968 68539725280 68981917056 70750684160 79136458752 79677430638 80372965920 81165598720 81720441680 82247670336 82965642240 83532790185 84356584960 84900820992 85731163648 86227396320 87077765120 88496685056 89101642864 91975889408 98064530016 98920573440 101227901952 102111559680 102809587920 105515278336 106126026240 106236574184 107163954560 109663560448 110620856320 111377053580 113201094656 114969861760 121748398080 122580662520 126534877440 128596745472 130616647680 130752706688 131894097920 132745027584 132795717730 133652464296 134970535936 137079450560 137963834112 141501368320 158272917504 159354861276 160745931840 163440883360 164495340672 165931284480 167065580370 168713169920 169801641984 171462327296 172454792640 172634433049 178203285728 183951778816 196129060032 197841146880 199193576595 202455803904 205619175840 211030556672 212252052480 212473148368 214327909120 219327120896 221241712640 222754107160 226402189312 229939723520 243496796160 245161325040 253069754880 257193490944 261233295360 261505413376 263788195840 265490055168 265591435460 267304928592 269941071872 274158901120 275927668224 283002736640 316545835008 318709722552 321491863680 326881766720 328990681344 331862568960 334131160740 337426339840 339603283968 342924654592 344909585280 345268866098 356406571456 367903557632 392258120064 395682293760 398387153190 404911607808 411238351680 424504104960 424946296736 428655818240 438654241792 442483425280 445508214320 459879447040 490322650080 506139509760 514386981888 517903299147 523010826752 527576391680 531182870920 534609857184 539882143744 548317802240 551855336448 566005473280 633091670016 637419445104 642983727360 653763533440 657981362688 663725137920 668262321480 674852679680 679206567936 685849309184 689819170560 690537732196 712813142912 735807115264 784516240128 791364587520 796774306380 809823215616 822476703360 849008209920 849892593472 857311636480 863172165245 877308483584 891016428640 919758894080 980645300160 1012279019520 1028773963776 1035806598294 1046021653504 1055152783360 1062365741840 1069219714368 1096635604480 1103710672896 1132010946560 1274838890208 1285967454720 1307527066880 1315962725376 1327450275840 1336524642960 1349705359360 1371698618368 1379638341120 1381075464392 1425626285824 1471614230528 1569032480256 1582729175040 1593548612760 1619646431232 1644953406720 1698016419840 1699785186944 1714623272960 1726344330490 1754616967168 1782032857280 1839517788160 1961290600320 2024558039040 2057547927552 2071613196588 2092043307008 2124731483680 2138439428736 2193271208960 2207421345792 2549677780416 2571934909440 2589516495735 2615054133760 2631925450752 2673049285920 2699410718720 2743397236736 2759276682240 2762150928784 2851252571648 2943228461056 3138064960512 3165458350080 3187097225520 3289906813440 3396032839680 3399570373888 3429246545920 3452688660980 3509233934336 3564065714560 3679035576320 3922581200640 4049116078080 4115095855104 4143226393176 4184086614016 4249462967360 4276878857472 4386542417920 4414842691584 5099355560832 5143869818880 5179032991470 5230108267520 5263850901504 5346098571840 5518553364480 5524301857568 5702505143296 6276129921024 6374194451040 6579813626880 6799140747776 6858493091840 6905377321960 7018467868672 7128131429120 7358071152640 7845162401280 8098232156160 8230191710208 8286452786352 8368173228032 8498925934720 8553757714944 8773084835840 8829685383168 10198711121664 10287739637760 10358065982940 10460216535040 10527701803008 10692197143680 11037106728960 11048603715136 11405010286592 12552259842048 12748388902080 13159627253760 13598281495552 13716986183680 13810754643920 14256262858240 14716142305280 15690324802560 16572905572704 16736346456064 16997851869440 17107515429888 17546169671680 20397422243328 20575479275520 20716131965880 20920433070080 21055403606016 21384394287360 22074213457920 22097207430272 22810020573184 25104519684096 25496777804160 26319254507520 27196562991104 27621509287840 28512525716480 31380649605120 33145811145408 33995703738880 34215030859776 35092339343360 40794844486656 41150958551040 41432263931760 41840866140160 42768788574720 44148426915840 44194414860544 45620041146368 50209039368192 50993555608320 52638509015040 54393125982208 55243018575680 57025051432960 62761299210240 66291622290816 67991407477760 68430061719552 81589688973312 82864527863520 83681732280320 85537577149440 88388829721088 91240082292736 101987111216640 105277018030080 108786251964416 110486037151360 114050102865920 125522598420480 132583244581632 135982814955520 136860123439104 163179377946624 165729055727040 171075154298880 176777659442176 203974222433280 217572503928832 220972074302720 228100205731840 251045196840960 265166489163264 271965629911040 273720246878208 326358755893248 331458111454080 342150308597760 353555318884352 407948444866560 441944148605440 456200411463680 530332978326528 543931259822080 652717511786496 662916222908160 684300617195520 707110637768704 815896889733120 883888297210880 1060665956653056 1087862519644160 1325832445816320 1368601234391040 1414221275537408 1631793779466240 1767776594421760 2121331913306112 2651664891632640 2828442551074816 3263587558932480 3535553188843520 4242663826612224 5303329783265280 7071106377687040 8485327653224448 10606659566530560 14142212755374080 21213319133061120 42426638266122240
- Sum of all divisors σ(n): 152050212637600536
- Sum of proper divisors (its aliquot sum) s(n): 109623574371478296
- 42426638266122240 is an abundant number, because the sum of its proper divisors (109623574371478296) is greater than itself. Its abundance is 67196936105356056
Bases of 42426638266122240
- Binary: 100101101011101011001101011111101101110111000000000000002
- Hexadecimal: 0x96BACD7EDDC000
- Base-36: BLQZKJSB6YO
Squares and roots of 42426638266122240
- 42426638266122240 squared (424266382661222402) is 1800019634564387951279286622617600
- 42426638266122240 cubed (424266382661222403) is 76368781907580832494744276259494149241830375424000
-
The
square root of 42426638266122240 is 205977276.0916170577 -
The
cube root of 42426638266122240 is 348775.6903961227
Scales and comparisons
How big is 42426638266122240?- 42,426,638,266,122,240 seconds is equal to 1,349,035,862 years, 34 weeks, 1 hour, 4 minutes.
-
To count from 1 to 42,426,638,266,122,240 would take you about four billion, forty-seven million, one hundred seven thousand, five hundred eighty-seven 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 42426638266122240 cubic inches would be around 29064.6 feet tall.
Recreational maths with 42426638266122240
- 42426638266122240 backwards is 04222166283662424
- 42426638266122240 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42426638266122240's digits is 60
- More coming soon!
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"Number 42426638266122240 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 42426638266122240 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/42426638266122240/
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The information we have on file for 42426638266122240 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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