42426801569152
42,426,801,569,152 is an even composite number composed of seven prime numbers multiplied together.
42426801569152 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42426801569152:
27 × 72 × 112 × 13 × 41 × 53 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 11 × 13 × 41 × 53 × 1979)See below for interesting mathematical facts about the number 42426801569152 from the Numbermatics database.
Names of 42426801569152
- Cardinal: 42426801569152 can be written as Forty-two trillion, four hundred twenty-six billion, eight hundred one million, five hundred sixty-nine thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 4.2426801569152 × 1013
Factors of 42426801569152
Divisors of 42426801569152
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 41 44 49 52 53 56 64 77 82 88 91 98 104 106 112 121 128 143 154 164 176 182 196 208 212 224 242 286 287 308 328 352 364 371 392 416 424 448 451 484 533 539 572 574 583 616 637 656 689 704 728 742 784 832 847 848 896 902 968 1001 1066 1078 1144 1148 1166 1232 1274 1312 1378 1408 1456 1484 1568 1573 1664 1694 1696 1804 1936 1979 2002 2009 2132 2156 2173 2288 2296 2332 2464 2548 2597 2624 2756 2912 2968 3136 3146 3157 3388 3392 3608 3731 3872 3958 4004 4018 4081 4264 4312 4346 4576 4592 4664 4823 4928 4961 5096 5194 5248 5512 5824 5863 5929 5936 6272 6292 6314 6413 6776 6784 7007 7216 7462 7579 7744 7916 8008 8036 8162 8528 8624 8692 9152 9184 9328 9646 9856 9922 10192 10388 11011 11024 11648 11726 11858 11872 12584 12628 12826 13552 13853 14014 14432 14924 15158 15211 15488 15832 16016 16072 16324 17056 17248 17384 18304 18368 18656 19292 19844 20384 20776 21769 22022 22048 22099 23452 23716 23744 23903 25168 25256 25652 25727 26117 27104 27706 28028 28249 28567 28864 29848 30316 30422 31664 32032 32144 32648 33761 34112 34496 34727 34768 36736 37312 38584 39688 40768 41041 41552 43538 44044 44096 44198 44891 46904 47432 47488 47806 50336 50512 51304 51454 52234 53053 54208 55412 56056 56498 57134 57728 59696 60632 60844 63328 64064 64288 64493 65296 67522 68224 68992 69454 69536 74624 77077 77168 79376 81139 81536 82082 83104 83369 87076 88088 88192 88396 89782 93808 94864 95612 96971 100672 101024 102608 102908 104468 104887 106106 106477 108416 110824 112112 112996 114268 119392 121264 121688 126656 128128 128576 128986 130592 135044 138908 139072 152383 154154 154336 158752 162278 164164 166208 166738 167321 174152 176176 176792 179564 180089 187616 189728 191224 193942 197743 201344 202048 205216 205816 208936 209774 212212 212954 221648 224224 225992 228536 238784 239459 242528 243089 243376 253312 257152 257972 261184 262933 270088 277816 278144 282997 287287 304766 308308 308672 310739 314237 317504 324556 328328 332416 333476 334642 348304 352352 353584 359128 360178 371371 375232 379456 382448 387884 395486 404096 410432 411632 417872 419548 424424 425908 443296 448448 451451 451984 457072 477568 478918 485056 486178 486752 515944 522368 525866 540176 555632 565994 567973 574574 583583 609532 616616 617344 621478 628474 635008 649112 656656 666952 669284 696608 704704 707168 718256 720356 734209 742742 750464 758912 764896 775768 790972 820864 823264 835744 839096 848848 851816 886592 892529 896896 902902 903968 914144 957836 970112 972356 973504 1031888 1051732 1054807 1066681 1080352 1111264 1131988 1135946 1149148 1153757 1167166 1171247 1219064 1233232 1242956 1256948 1260623 1298224 1313312 1333904 1338568 1363531 1384201 1393216 1409408 1414336 1436512 1440712 1468418 1485484 1529792 1551536 1581944 1646528 1671488 1676213 1678192 1697696 1703632 1773184 1785058 1805804 1807936 1828288 1840531 1915672 1944712 1947008 1980979 2063776 2103464 2109614 2133362 2160704 2175173 2222528 2263976 2271892 2298296 2307514 2334332 2342494 2438128 2466464 2485912 2513896 2521246 2596448 2626624 2667808 2677136 2727062 2768402 2786432 2828672 2873024 2881424 2936836 2970968 3059584 3103072 3112967 3160157 3163888 3293056 3342976 3352426 3356384 3395392 3407264 3418129 3570116 3611608 3615872 3656576 3681062 3831344 3889424 3961958 3975811 4085081 4127552 4206928 4219228 4266724 4300367 4321408 4350346 4445056 4527952 4543784 4596592 4615028 4668664 4684988 4876256 4932928 4971824 5027792 5042492 5139463 5192896 5253248 5335616 5354272 5454124 5536804 5746048 5762848 5873672 5941936 6206144 6225934 6247703 6320314 6327776 6704852 6712768 6790784 6814528 6836258 7140232 7223216 7362124 7383649 7662688 7778848 7923916 7951622 8076299 8170162 8255104 8413856 8438456 8533448 8600734 8700692 9055904 9087568 9193184 9230056 9337328 9369976 9544717 9752512 9817819 9865856 9943648 10055584 10084984 10278926 10385792 10671232 10708544 10908248 11073608 11525696 11602877 11733491 11747344 11883872 12412288 12451868 12495406 12640628 12655552 12691327 12883717 13409704 13425536 13629056 13672516 13866853 14280464 14446432 14724248 14767298 14998841 15226211 15325376 15557696 15847832 15903244 16152598 16340324 16827712 16876912 17066896 17201468 17401384 18111808 18175136 18386368 18460112 18674656 18739952 19089434 19505024 19635638 19887296 20111168 20169968 20557852 21417088 21790769 21816496 22147216 23051392 23205754 23466982 23494688 23767744 23926903 24903736 24990812 25281256 25311104 25382654 25767434 26819408 27345032 27733706 28560928 28892864 29448496 29534596 29997682 30102569 30452422 30650752 31115392 31695664 31806488 32305196 32680648 33655424 33753824 34133792 34402936 34802768 36223616 36350272 36772736 36920224 37349312 37479904 38178868 39271276 39774592 40222336 40339936 41115704 43581538 43632992 43733921 44294432 46411508 46933964 46989376 47304037 47535488 47853806 49807472 49981624 50562512 50765308 51534868 51685543 53638816 54690064 55467412 55904771 56534093 57121856 57785728 58896992 59069192 59995364 60205138 60904844 63391328 63612976 64610392 65361296 66813019 67507648 68267584 68724733 68805872 69605536 72700544 73840448 74698624 74959808 76357736 78542552 80679872 81220139 82231408 87163076 87265984 87467842 88588864 88839289 92823016 93867928 93978752 94608074 95707612 99614944 99963248 101125024 101530616 103069736 103371086 104991887 107277632 109380128 110934824 111809542 113068186 114243712 117793984 118138384 119990728 120410276 121809688 126782656 127225952 127631647 129220784 130722592 133626038 135015296 136535168 137449466 137611744 139211072 147680896 149919616 152535383 152715472 157085104 161359744 162440278 164462816 164987251 167488321 174326152 174531968 174935684 177177728 177678578 185646032 187735856 189216148 191415224 199229888 199926496 202250048 203061232 206139472 206742172 209983774 210717983 214555264 218760256 221869648 223619084 226136372 235587968 236276768 239981456 240820552 243619376 253565312 254451904 255263294 258441568 261445184 267252076 274898932 275223488 278422144 305070766 305430944 314170208 324880556 328925632 329974502 331128259 334976642 348652304 349871368 355357156 371292064 375471712 378432296 382830448 391333397 398459776 399852992 404500096 406122464 412278944 413484344 419967548 421435966 437520512 443739296 447238168 452272744 472553536 479962912 481073131 481641104 487238752 508903808 510526588 516883136 520344407 522890368 534504152 549797864 550446976 568540973 610141532 610861888 614952481 621875023 628340416 649761112 657851264 659949004 662256518 669953284 697304608 699742736 710714312 734943209 742584128 750943424 756864592 765660896 782666794 799705984 812244928 824557888 826968688 839935096 842871932 887478592 893421529 894476336 904545488 945107072 959925824 962146262 963282208 974477504 1021053176 1033766272 1040688814 1069008304 1099595728 1137081946 1154910757 1220283064 1221723776 1229904962 1243750046 1256680832 1299522224 1319898008 1324513036 1339906568 1394609216 1399485472 1421428624 1469886418 1485168256 1501886848 1513729184 1531321792 1565333588 1624489856 1649115776 1653937376 1679870192 1685743864 1774957184 1786843058 1788952672 1809090976 1919851648 1924292524 1926564416 1948955008 2042106352 2081377628 2138016608 2199191456 2274163892 2309821514 2317897813 2440566128 2459809924 2487500092 2599044448 2639796016 2649026072 2679813136 2739333779 2789218432 2798970944 2842857248 2939772836 3027458368 3062643584 3130667176 3307874752 3359740384 3371487728 3573686116 3577905344 3618181952 3642410849 3848585048 3853128832 4084212704 4162755256 4276033216 4304667367 4398382912 4548327784 4619643028 4635795626 4881132256 4919619848 4975000184 5198088896 5279592032 5298052144 5359626272 5478667558 5597941888 5685714496 5879545672 6054916736 6253950703 6261334352 6615749504 6719480768 6742975456 6764477291 7147372232 7155810688 7236363904 7284821698 7697170096 8084375299 8168425408 8325510512 8552066432 8609334734 8796765824 9096655568 9239286056 9271591252 9762264512 9839239696 9950000368 10396177792 10559184064 10596104288 10719252544 10957335116 11371428992 11759091344 12507901406 12522668704 13438961536 13485950912 13528954582 14294744464 14569643396 15394340192 16168750598 16336850816 16651021024 17218669468 18193311136 18478572112 18543182504 19524529024 19678479392 19900000736 21118368128 21192208576 21438505088 21914670232 23518182688 25015802812 25045337408 25496875943 26971901824 27057909164 28589488928 29139286792 30132671569 30788680384 32337501196 33302042048 34437338936 36386622272 36957144224 37086365008 39356958784 39800001472 42384417152 43829340464 47036365376 47351341037 50031605624 50090674816 50993751886 54115818328 57178977856 58278573584 60265343138 61577360768 64675002392 66604084096 68874677872 72773244544 73914288448 74172730016 78713917568 79600002944 87658680928 94072730752 94702682074 100063211248 101987503772 108231636656 114357955712 116557147168 120530686276 129350004784 137749355744 147828576896 148345460032 175317361856 189405364148 200126422496 203975007544 216463273312 233114294336 241061372552 258700009568 275498711488 296690920064 331459387259 350634723712 378810728296 400252844992 407950015088 432926546624 466228588672 482122745104 517400019136 550997422976 662918774518 757621456592 800505689984 815900030176 865853093248 964245490208 1034800038272 1325837549036 1515242913184 1631800060352 1928490980416 2651675098072 3030485826368 3263600120704 3856981960832 5303350196144 6060971652736 10606700392288 21213400784576 42426801569152
- Sum of all divisors σ(n): 121535444368800
- Sum of proper divisors (its aliquot sum) s(n): 79108642799648
- 42426801569152 is an abundant number, because the sum of its proper divisors (79108642799648) is greater than itself. Its abundance is 36681841230496
Bases of 42426801569152
- Binary: 10011010010110010000100110111110111101100000002
- Hexadecimal: 0x2696426FBD80
- Base-36: F1ELQ85TS
Squares and roots of 42426801569152
- 42426801569152 squared (424268015691522) is 1800033491388198609437999104
- 42426801569152 cubed (424268015691523) is 76369663756954977841678724782442370039808
-
The
square root of 42426801569152 is 6513585.9224510119 -
The
cube root of 42426801569152 is 34877.6137882703
Scales and comparisons
How big is 42426801569152?- 42,426,801,569,152 seconds is equal to 1,349,041 years, 2 weeks, 6 days, 2 hours, 5 minutes, 52 seconds.
-
To count from 1 to 42,426,801,569,152 would take you about three million, three hundred seventy-two thousand, six hundred two 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 42426801569152 cubic inches would be around 2906.5 feet tall.
Recreational maths with 42426801569152
- 42426801569152 backwards is 25196510862424
- The number of decimal digits it has is: 14
- The sum of 42426801569152's digits is 55
- More coming soon!
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The information we have on file for 42426801569152 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!
Keywords: Divisors of 42426801569152, math, Factors of 42426801569152, curriculum, school, college, exams, university, Prime factorization of 42426801569152, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, four hundred twenty-six billion, eight hundred one million, five hundred sixty-nine thousand, one hundred fifty-two.