42138227368755200
42,138,227,368,755,200 is an even composite number composed of five prime numbers multiplied together.
42138227368755200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42138227368755200:
215 × 52 × 172 × 192 × 793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 19 × 19 × 79 × 79 × 79)See below for interesting mathematical facts about the number 42138227368755200 from the Numbermatics database.
Names of 42138227368755200
- Cardinal: 42138227368755200 can be written as Forty-two quadrillion, one hundred thirty-eight trillion, two hundred twenty-seven billion, three hundred sixty-eight million, seven hundred fifty-five thousand, two hundred.
Scientific notation
- Scientific notation: 4.21382273687552 × 1016
Factors of 42138227368755200
Divisors of 42138227368755200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 32 34 38 40 50 64 68 76 79 80 85 95 100 128 136 152 158 160 170 190 200 256 272 289 304 316 320 323 340 361 380 395 400 425 475 512 544 578 608 632 640 646 680 722 760 790 800 850 950 1024 1088 1156 1216 1264 1280 1292 1343 1360 1444 1445 1501 1520 1580 1600 1615 1700 1805 1900 1975 2048 2176 2312 2432 2528 2560 2584 2686 2720 2888 2890 3002 3040 3160 3200 3230 3400 3610 3800 3950 4096 4352 4624 4864 5056 5120 5168 5372 5440 5491 5776 5780 6004 6080 6137 6241 6320 6400 6460 6715 6800 7220 7225 7505 7600 7900 8075 8192 8704 9025 9248 9728 10112 10240 10336 10744 10880 10982 11552 11560 12008 12160 12274 12482 12640 12800 12920 13430 13600 14440 14450 15010 15200 15800 16150 16384 17408 18050 18496 19456 20224 20480 20672 21488 21760 21964 22831 23104 23120 24016 24320 24548 24964 25280 25517 25600 25840 26860 27200 27455 28519 28880 28900 30020 30400 30685 31205 31600 32300 32768 33575 34816 36100 36992 37525 38912 40448 40960 41344 42976 43520 43928 45662 46208 46240 48032 48640 49096 49928 50560 51034 51200 51680 53720 54400 54910 57038 57760 57800 60040 60800 61370 62410 63200 64600 67150 69632 72200 73984 75050 77824 80896 81920 82688 85952 87040 87856 91324 92416 92480 96064 97280 98192 99856 101120 102068 102400 103360 104329 106097 107440 108800 109820 114076 114155 115520 115600 118579 120080 121600 122740 124820 126400 127585 129200 134300 137275 139264 142595 144400 147968 150100 153425 155648 156025 161792 163840 165376 171904 174080 175712 182648 184832 184960 192128 194560 196384 199712 202240 204136 204800 206720 208658 212194 214880 217600 219640 228152 228310 231040 231200 237158 240160 243200 245480 249640 252800 255170 258400 268600 274550 278528 285190 288800 295936 300200 306850 311296 312050 323584 330752 343808 348160 351424 365296 369664 369920 384256 389120 392768 399424 404480 408272 409600 413440 417316 424388 429760 433789 435200 439280 456304 456620 462080 462400 474316 480320 484823 486400 490960 493039 499280 505600 510340 516800 521645 530485 537200 549100 557056 570380 570775 577600 591872 592895 600400 613700 622592 624100 637925 647168 661504 687616 696320 702848 712975 730592 739328 739840 768512 778240 785536 798848 808960 816544 819200 826880 834632 848776 859520 867578 870400 878560 912608 913240 924160 924800 948632 960640 969646 972800 981920 986078 998560 1011200 1020680 1033600 1043290 1060970 1074400 1098200 1140760 1141550 1155200 1183744 1185790 1200800 1227400 1248200 1275850 1294336 1323008 1375232 1392640 1405696 1425950 1461184 1478656 1479680 1537024 1556480 1571072 1597696 1617920 1633088 1653760 1669264 1697552 1719040 1735156 1740800 1757120 1803649 1825216 1826480 1848320 1849600 1897264 1921280 1939292 1945600 1963840 1972156 1997120 2015843 2022400 2041360 2067200 2086580 2121940 2148800 2168945 2196400 2253001 2281520 2283100 2310400 2367488 2371580 2401600 2424115 2454800 2465195 2496400 2551700 2588672 2608225 2646016 2652425 2750464 2785280 2811392 2851900 2922368 2957312 2959360 2964475 3074048 3112960 3142144 3195392 3235840 3266176 3307520 3338528 3395104 3438080 3470312 3481600 3514240 3607298 3650432 3652960 3696640 3699200 3794528 3842560 3878584 3891200 3927680 3944312 3994240 4031686 4044800 4082720 4134400 4173160 4243880 4297600 4337890 4392800 4506002 4563040 4566200 4620800 4734976 4743160 4803200 4848230 4909600 4930390 4992800 5103400 5216450 5292032 5304850 5500928 5622784 5703800 5844736 5914624 5918720 5928950 6148096 6284288 6390784 6471680 6532352 6615040 6677056 6790208 6876160 6940624 6963200 7028480 7214596 7300864 7305920 7393280 7398400 7589056 7685120 7757168 7782400 7855360 7888624 7988480 8063372 8089600 8165440 8241991 8268800 8346320 8381663 8487760 8595200 8675780 8785600 9012004 9018245 9126080 9132400 9241600 9367741 9469952 9486320 9606400 9696460 9819200 9860780 9985600 10079215 10206800 10432900 10584064 10609700 10844725 11001856 11245568 11265005 11407600 11689472 11829248 11837440 11857900 12120575 12296192 12325975 12568576 12781568 12943360 13064704 13230080 13354112 13580416 13752320 13881248 13926400 14056960 14429192 14601728 14611840 14786560 14796800 15178112 15370240 15514336 15564800 15710720 15777248 15976960 16126744 16179200 16330880 16483982 16537600 16692640 16763326 16975520 17190400 17351560 17571200 18024008 18036490 18252160 18264800 18483200 18735482 18972640 19212800 19392920 19638400 19721560 19971200 20158430 20413600 20865800 21219400 21689450 22003712 22491136 22530010 22815200 23378944 23674880 23715800 24241150 24592384 24651950 25137152 25563136 26129408 26460160 26708224 27160832 27504640 27762496 28113920 28858384 29203456 29223680 29573120 29593600 30356224 30740480 31028672 31421440 31554496 31953920 32253488 32358400 32661760 32967964 33075200 33385280 33526652 33951040 34269331 34380800 34703120 35142400 36048016 36072980 36504320 36529600 36966400 37470964 37945280 38301017 38425600 38785840 39276800 39443120 39942400 40316860 40827200 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9228292096 9234682880 9351577600 9592566784 9713991680 9805060352 9929175040 10097438720 10192102208 10321116160 10417876624 10451763200 10549748480 10683289600 10728528640 10829108596 10864332800 10966185920 11104998400 11391173056 11399061680 11535365120 11543353600 11681382400 11990708480 12103121372 12142489600 12256325440 12411468800 12621798400 12740127760 12901395200 13022345780 13187185600 13410660800 13536385745 13707732400 14214397952 14238966320 14248827100 14419206400 14775492608 14988385600 15128901715 15320406800 15886680064 15925159700 16155901952 16277932225 16513785856 16879597568 17093263360 17165645824 17382932480 17545897472 17767997440 17798707900 18238498688 18456584192 18469365760 18703155200 19185133568 19427983360 19610120704 19858350080 20194877440 20384204416 20642232320 20835753248 20903526400 21099496960 21366579200 21457057280 21658217192 21728665600 21932371840 22209996800 22782346112 22798123360 23070730240 23086707200 23362764800 23981416960 24206242744 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245126508800 254802555200 257191329155 260446915600 270073561088 270727714900 274650333184 280734359552 284779326400 291815979008 295509852160 302578034300 306962137088 313761931264 326147270656 330275717120 333372051968 337591951360 343312916480 346531475072 350917949440 355359948800 364517537792 364769973760 369131683840 369387315200 383702671360 387299883904 392202414080 397167001600 403897548800 407684088320 411506126648 412844646400 416715064960 421989939200 429141145600 433164343840 438647436800 455646922240 455962467200 461414604800 479628339200 484124854880 490253017600 509605110400 514382658310 520893831200 541455429800 561468719104 569558652800 583631958016 605156068600 627523862528 652294541312 666744103936 675183902720 686625832960 693062950144 701835898880 729035075584 729539947520 738774630400 767405342720 774599767808 784404828160 815368176640 823012253296 825689292800 833430129920 843979878400 858282291200 866328687680 877294873600 911293844480 911924934400 922829209600 959256678400 968249709760 980506035200 1019210220800 1028765316620 1041787662400 1082910859600 1122937438208 1139117305600 1167263916032 1210312137200 1255047725056 1285956645775 1304589082624 1333488207872 1350367805440 1373251665920 1386125900288 1403671797760 1458070151168 1459079895040 1477549260800 1534810685440 1549199535616 1568809656320 1630736353280 1646024506592 1651378585600 1666860259840 1687959756800 1716564582400 1732657375360 1754589747200 1822587688960 1823849868800 1845658419200 1918513356800 1936499419520 1961012070400 2038420441600 2057530633240 2083575324800 2165821719200 2278234611200 2334527832064 2420624274400 2571913291550 2609178165248 2666976415744 2772251800576 2807343595520 2916140302336 2918159790080 3098399071232 3137619312640 3261472706560 3292049013184 3333720519680 3375919513600 3433129164800 3465314750720 3509179494400 3645175377920 3647699737600 3837026713600 3872998839040 3922024140800 4076840883200 4115061266480 4167150649600 4331643438400 4556469222400 4669055664128 4841248548800 5143826583100 5218356330496 5333952831488 5544503601152 5614687191040 5832280604672 5836319580160 6196798142464 6275238625280 6522945413120 6584098026368 6667441039360 6751839027200 6866258329600 6930629501440 7018358988800 7290350755840 7295399475200 7674053427200 7745997678080 7844048281600 8153681766400 8230122532960 8334301299200 8663286876800 9112938444800 9682497097600 10287653166200 10667905662976 11089007202304 11672639160320 12393596284928 13045890826240 13168196052736 13334882078720 13861259002880 14036717977600 14580701511680 14590798950400 15491995356160 15688096563200 16307363532800 16460245065920 16668602598400 17326573753600 18225876889600 19364994195200 20575306332400 21335811325952 22178014404608 23345278320640 24787192569856 26091781652480 26336392105472 26669764157440 27722518005760 28073435955200 29161403023360 29181597900800 30983990712320 31376193126400 32614727065600 32920490131840 33337205196800 34653147507200 36451753779200 38729988390400 41150612664800 44356028809216 49574385139712 52672784210944 53339528314880 55445036011520 58363195801600 61967981424640 65229454131200 65840980263680 66674410393600 69306295014400 72903507558400 77459976780800 82301225329600 88712057618432 99148770279424 105345568421888 106679056629760 110890072023040 116726391603200 123935962849280 130458908262400 131681960527360 133348820787200 138612590028800 145807015116800 154919953561600 164602450659200 210691136843776 221780144046080 247871925698560 263363921054720 266697641574400 277225180057600 309839907123200 329204901318400 421382273687552 443560288092160 495743851397120 526727842109440 533395283148800 554450360115200 619679814246400 658409802636800 842764547375104 1053455684218880 1108900720230400 1239359628492800 1316819605273600 1685529094750208 2106911368437760 2217801440460800 2478719256985600 2633639210547200 4213822736875520 5267278421094400 8427645473751040 10534556842188800 21069113684377600 42138227368755200
- Sum of all divisors σ(n): 118662119169775200
- Sum of proper divisors (its aliquot sum) s(n): 76523891801020000
- 42138227368755200 is an abundant number, because the sum of its proper divisors (76523891801020000) is greater than itself. Its abundance is 34385664432264800
Bases of 42138227368755200
- Binary: 100101011011010001111110100110011100011110000000000000002
- Hexadecimal: 0x95B47E99C78000
- Base-36: BIWR6EUKF7K
Squares and roots of 42138227368755200
- 42138227368755200 squared (421382273687552002) is 1775630205780909786041197527040000
- 42138227368755200 cubed (421382273687552003) is 74821909334025560489505957079829160403140608000000
-
The
square root of 42138227368755200 is 205275978.5477959913 -
The
cube root of 42138227368755200 is 347983.5818452001
Scales and comparisons
How big is 42138227368755200?- 42,138,227,368,755,200 seconds is equal to 1,339,865,288 years, 12 weeks, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 42,138,227,368,755,200 would take you about four billion, nineteen million, five hundred ninety-five thousand, eight hundred sixty-four 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 42138227368755200 cubic inches would be around 28998.6 feet tall.
Recreational maths with 42138227368755200
- 42138227368755200 backwards is 00255786372283124
- The number of decimal digits it has is: 17
- The sum of 42138227368755200's digits is 65
- More coming soon!
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"Number 42138227368755200 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 42138227368755200 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/42138227368755200/
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The information we have on file for 42138227368755200 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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