427142517818382144
427,142,517,818,382,144 is an even composite number composed of six prime numbers multiplied together.
427142517818382144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 427142517818382144:
26 × 33 × 17 × 234 × 79 × 8112
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 23 × 23 × 23 × 23 × 79 × 811 × 811)See below for interesting mathematical facts about the number 427142517818382144 from the Numbermatics database.
Names of 427142517818382144
- Cardinal: 427142517818382144 can be written as Four hundred twenty-seven quadrillion, one hundred forty-two trillion, five hundred seventeen billion, eight hundred eighteen million, three hundred eighty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.27142517818382144 × 1017
Factors of 427142517818382144
Divisors of 427142517818382144
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 23 24 27 32 34 36 46 48 51 54 64 68 69 72 79 92 96 102 108 136 138 144 153 158 184 192 204 207 216 237 272 276 288 306 316 368 391 408 414 432 459 474 529 544 552 576 612 621 632 711 736 782 811 816 828 864 918 948 1058 1088 1104 1173 1224 1242 1264 1343 1422 1472 1564 1587 1622 1632 1656 1728 1817 1836 1896 2116 2133 2208 2346 2433 2448 2484 2528 2686 2844 3128 3174 3244 3264 3312 3519 3634 3672 3792 4029 4232 4266 4416 4692 4761 4866 4896 4968 5056 5372 5451 5688 6256 6348 6488 6624 7038 7268 7299 7344 7584 8058 8464 8532 8993 9384 9522 9732 9792 9936 10557 10744 10902 11376 12087 12167 12512 12696 12976 13248 13787 14076 14283 14536 14598 14688 15168 16116 16353 16928 17064 17986 18653 18768 19044 19464 19872 21114 21488 21804 21897 22752 24174 24334 25024 25392 25952 26979 27574 28152 28566 29072 29196 29376 30889 32232 32706 33856 34128 35972 36261 36501 37306 37536 38088 38928 39744 41361 41791 42228 42976 43608 43794 45504 48348 48668 49059 50784 51904 53958 55148 55959 56304 57132 58144 58392 61778 64069 64464 65412 68256 71944 72522 73002 74612 75072 76176 77856 80937 82722 83582 84456 85952 87216 87588 92667 96696 97336 98118 101568 107916 109503 110296 111918 112608 114264 116288 116784 123556 124083 125373 128138 128928 130824 136512 143888 145044 146004 149224 152352 155712 161874 165444 167164 167877 168912 174432 175176 185334 192207 193392 194672 196236 206839 215832 219006 220592 223836 225216 228528 233568 242811 247112 248166 250746 256276 257856 261648 278001 279841 287776 290088 292008 298448 304704 317101 323748 328509 330888 334328 335754 337824 348864 350352 370668 372249 376119 384414 386784 389344 392472 413678 429019 431664 438012 441184 447672 457056 467136 485622 494224 496332 501492 503631 512552 523296 556002 559682 575552 576621 580176 584016 596896 620517 634202 647496 657018 657721 661776 668656 671508 675648 700704 710447 741336 744498 752238 768828 773568 778688 784944 827356 834003 839523 858038 863328 876024 882368 895344 914112 951303 961193 971244 988448 992664 1002984 1007262 1025104 1046592 1089173 1112004 1119364 1128357 1153242 1160352 1168032 1193792 1241034 1268404 1287057 1294992 1314036 1315442 1323552 1337312 1343016 1401408 1420894 1473587 1482672 1488996 1504476 1537656 1569888 1654712 1668006 1679046 1716076 1726656 1729863 1752048 1790688 1861551 1902606 1922386 1942488 1973163 1976896 1985328 2005968 2014524 2050208 2131341 2178346 2224008 2238728 2256714 2306484 2320704 2336064 2482068 2518569 2536808 2574114 2589984 2628072 2630884 2647104 2674624 2686032 2841788 2853909 2883579 2947174 2965344 2977992 3008952 3075312 3139776 3267519 3309424 3336012 3358092 3432152 3459726 3504096 3581376 3723102 3805212 3844772 3861171 3884976 3946326 3970656 4011936 4029048 4100416 4262682 4356692 4420761 4448016 4477456 4513428 4612968 4757297 4964136 5037138 5073616 5148228 5179968 5256144 5261768 5372064 5584653 5683576 5707818 5767158 5894348 5919489 5930688 5955984 6017904 6150624 6394023 6535038 6618848 6672024 6716184 6864304 6919452 7008192 7293323 7446204 7555707 7610424 7689544 7722342 7769952 7892652 7941312 8023872 8058096 8525364 8561727 8650737 8713384 8841522 8896032 8954912 9026856 9225936 9514594 9802557 9867437 9928272 10074276 10147232 10296456 10512288 10523536 10744128 11169306 11181257 11367152 11415636 11534316 11583513 11788696 11838978 11911968 12035808 12301248 12788046 13070076 13237696 13262283 13344048 13432368 13728608 13838904 14271891 14586646 14892408 15111414 15127583 15220848 15379088 15444684 15539904 15785304 16116192 16340281 17050728 17123454 17301474 17426768 17683044 17758467 17792064 17909824 18053712 18451872 19029188 19182069 19605114 19734874 19856544 20148552 20294464 20592912 21024576 21047072 21879969 22107439 22338612 22362514 22734304 22831272 23068632 23167026 23577392 23677956 23823936 24071616 25050979 25576092 25952211 26140152 26524566 26688096 26864736 27457216 27677808 28543782 29173292 29407671 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136042353919 138894043212 141957238872 143433064232 144044845326 144932914656 148129292736 149669284416 150307664688 159023614692 159701893731 161362197261 162357032016 162530751752 164920909866 165937684896 168377944968 169597306176 172091384208 182847095721 184057302361 185192057616 189276318496 190796969448 192059793768 196085708064 200410219584 208341064818 212031486256 212935858308 215149596348 216067267989 216476042688 219894546488 222193939104 224503926624 229455178944 238535422038 243796127628 246922743488 247381364799 248906527344 254395959264 256079725024 258137076312 272084707838 277788086424 283914477744 286866128464 288089690652 289865829312 300615329376 304795261493 318047229384 319403787462 322724394522 324714064032 325061503504 329841819732 331875369792 336755889936 344182768416 357803133057 365694191442 368114604722 370384115232 378552636992 381593938896 384119587536 392171416128 408127061757 416682129636 424062972512 425871716616 430299192696 432134535978 439789092976 444387878208 449007853248 467275911287 477070844076 484086591783 487592255256 494762729598 497813054688 508791918528 512159450048 516274152624 544169415676 548541287163 552171907083 555576172848 567828955488 573732256928 576179381304 601230658752 609590522986 632196821153 636094458768 638807574924 645448789044 649428128064 650123007008 659683639464 673511779872 688365536832 715606266114 731388382884 736229209444 740768230464 742144094397 763187877792 768239175072 816254123514 833364259272 848125945024 851743433232 860598385392 864269071956 879578185952 914385784479 934551822574 954141688152 968173183566 975184510512 989525459196 995626109376 1032548305248 1088338831352 1097082574326 1104343814166 1111152345696 1135657910976 1147464513856 1152358762608 1219181045972 1224381185271 1264393642306 1272188917536 1277615149848 1290897578088 1300246014016 1319367278928 1347023559744 1401827733861 1431212532228 1462776765768 1472458418888 1484288188794 1526375755584 1536478350144 1632508247028 1656515721249 1666728518544 1703486866464 1721196770784 1728538143912 1759156371904 1828771568958 1869103645148 1896590463459 1908283376304 1936346367132 1950369021024 1979050918392 2065096610496 2176677662704 2194165148652 2208687628332 2222304691392 2304717525216 2438362091944 2448762370542 2528787284612 2544377835072 2555230299696 2581795156176 2638734557856 2743157353437 2803655467722 2862425064456 2925553531536 2944916837776 2968576377588 3128974140137 3265016494056 3313031442498 3333457037088 3406973732928 3442393541568 3457076287824 3657543137916 3673143555813 3738207290296 3793180926918 3816566752608 3872692734264 3900738042048 3958101836784 4205483201583 4353355325408 4388330297304 4417375256664 4609435050432 4876724183888 4897524741084 4969547163747 5057574569224 5110460599392 5163590312352 5277469115712 5486314706874 5607310935444 5689771390377 5724850128912 5851107063072 5889833675552 5937152755176 6257948280274 6530032988112 6626062884996 6666914074176 6914152575648 7315086275832 7346287111626 7476414580592 7586361853836 7633133505216 7745385468528 7916203673568 8229472060311 8410966403166 8706710650816 8776660594608 8834750513328 9386922420411 9753448367776 9795049482168 9939094327494 10115149138448 10220921198784 10327180624704 10747345959601 10972629413748 11214621870888 11379542780754 11449700257824 11702214126144 11779667351104 11874305510352 12515896560548 12616449604749 13060065976224 13252125769992 13828305151296 14540526886519 14630172551664 14692574223252 14952829161184 15172723707672 15490770937056 15832407347136 16458944120622 16821932806332 17069314171131 17553321189216 17669501026656 18773844840822 19506896735552 19590098964336 19878188654988 20230298276896 21494691919202 21945258827496 22429243741776 22759085561508 22899400515648 23748611020704 25031793121096 25232899209498 26120131952448 26504251539984 28160767261233 29081053773038 29260345103328 29385148446504 29905658322368 30345447415344 30981541874112 32242037878803 32917888241244 33643865612664 34138628342262 35106642378432 35339002053312 37547689681644 39180197928672 39756377309976 40460596553792 42989383838404 43621580659557 43890517654992 44858487483552 45518171123016 47497222041408 50063586242192 50465798418996 53008503079968 56321534522466 58162107546076 58520690206656 58770296893008 60690894830688 64484075757606 65835776482488 67287731225328 68277256684524 75095379363288 78360395857344 79512754619952 84482301783699 85978767676808 87243161319114 87781035309984 89716974967104 91036342246032 96726113636409 100127172484384 100931596837992 106017006159936 112643069044932 116324215092152 117540593786016 121381789661376 128968151515212 130864741978671 131671552964976 134575462450656 136554513369048 150190758726576 159025509239904 168964603567398 171957535353616 174486322638228 175562070619968 182072684492064 193452227272818 200254344968768 201863193675984 225286138089864 232648430184304 235081187572032 247188957070823 257936303030424 261729483957342 263343105929952 269150924901312 273109026738096 290178340909227 300381517453152 318051018479808 337929207134796 343915070707232 348972645276456 364145368984128 386904454545636 392594225936013 403726387351968 450572276179728 465296860368608 494377914141646 515872606060848 523458967914684 526686211859904 546218053476192 580356681818454 600763034906304 675858414269592 687830141414464 697945290552912 741566871212469 773808909091272 785188451872026 807452774703936 901144552359456 930593720737216 988755828283292 1031745212121696 1046917935829368 1092436106952384 1160713363636908 1351716828539184 1395890581105824 1483133742424938 1547617818182544 1570376903744052 1802289104718912 1977511656566584 2063490424243392 2093835871658736 2224700613637407 2321426727273816 2703433657078368 2791781162211648 2966267484849876 3095235636365088 3140753807488104 3955023313133168 4187671743317472 4449401227274814 4642853454547632 5406867314156736 5932534969699752 6190471272730176 6281507614976208 6674101840912221 7910046626266336 8375343486634944 8898802454549628 9285706909095264 11865069939399504 12563015229952416 13348203681824442 15820093252532672 17797604909099256 18571413818190528 23730139878799008 25126030459904832 26696407363648884 35595209818198512 47460279757598016 53392814727297768 71190419636397024 106785629454595536 142380839272794048 213571258909191072 427142517818382144
- Sum of all divisors σ(n): 1409354281304697600
- Sum of proper divisors (its aliquot sum) s(n): 982211763486315456
- 427142517818382144 is an abundant number, because the sum of its proper divisors (982211763486315456) is greater than itself. Its abundance is 555069245667933312
Bases of 427142517818382144
- Binary: 101111011011000001111011011010110110000011111010111010000002
- Hexadecimal: 0x5ED83DB5B07D740
- Base-36: 38TTDVQW2MO0
Squares and roots of 427142517818382144
- 427142517818382144 squared (4271425178183821442) is 182450730528226907381782229618036736
- 427142517818382144 cubed (4271425178183821443) is 77932464415630000790236930486512527629413717078441984
-
The
square root of 427142517818382144 is 653561410.9005994121 -
The
cube root of 427142517818382144 is 753108.5897987223
Scales and comparisons
How big is 427142517818382144?- 427,142,517,818,382,144 seconds is equal to 13,581,810,828 years, 3 weeks, 3 days, 11 hours, 2 minutes, 24 seconds.
-
To count from 1 to 427,142,517,818,382,144 would take you about forty billion, seven hundred forty-five million, four hundred thirty-two thousand, four hundred eighty-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 427142517818382144 cubic inches would be around 62759 feet tall.
Recreational maths with 427142517818382144
- 427142517818382144 backwards is 441283818715241724
- 427142517818382144 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 427142517818382144's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 427142517818382144 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 427142517818382144 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/427142517818382144/
Chicago style:
Numbermatics. 2024. "Number 427142517818382144 - Facts about the integer". https://numbermatics.com/n/427142517818382144/
The information we have on file for 427142517818382144 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 427142517818382144, math, Factors of 427142517818382144, curriculum, school, college, exams, university, Prime factorization of 427142517818382144, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-seven quadrillion, one hundred forty-two trillion, five hundred seventeen billion, eight hundred eighteen million, three hundred eighty-two thousand, one hundred forty-four.