4002148587143168
4,002,148,587,143,168 is an even composite number composed of five prime numbers multiplied together.
4002148587143168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 4002148587143168:
221 × 72 × 113 × 29 × 1009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 11 × 11 × 29 × 1009)See below for interesting mathematical facts about the number 4002148587143168 from the Numbermatics database.
Names of 4002148587143168
- Cardinal: 4002148587143168 can be written as Four quadrillion, two trillion, one hundred forty-eight billion, five hundred eighty-seven million, one hundred forty-three thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 4.002148587143168 × 1015
Factors of 4002148587143168
Divisors of 4002148587143168
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 29 32 44 49 56 58 64 77 88 98 112 116 121 128 154 176 196 203 224 232 242 256 308 319 352 392 406 448 464 484 512 539 616 638 704 784 812 847 896 928 968 1009 1024 1078 1232 1276 1331 1408 1421 1568 1624 1694 1792 1856 1936 2018 2048 2156 2233 2464 2552 2662 2816 2842 3136 3248 3388 3509 3584 3712 3872 4036 4096 4312 4466 4928 5104 5324 5632 5684 5929 6272 6496 6776 7018 7063 7168 7424 7744 8072 8192 8624 8932 9317 9856 10208 10648 11099 11264 11368 11858 12544 12992 13552 14036 14126 14336 14848 15488 15631 16144 16384 17248 17864 18634 19712 20416 21296 22198 22528 22736 23716 24563 25088 25984 27104 28072 28252 28672 29261 29696 30976 31262 32288 32768 34496 35728 37268 38599 39424 40832 42592 44396 45056 45472 47432 49126 49441 50176 51968 54208 56144 56504 57344 58522 59392 61952 62524 64576 65219 65536 68992 71456 74536 77198 77693 78848 81664 85184 88792 90112 90944 94864 98252 98882 100352 103936 108416 112288 113008 114688 117044 118784 122089 123904 125048 129152 130438 131072 137984 142912 149072 154396 155386 157696 163328 170368 171941 177584 180224 181888 189728 196504 197764 200704 204827 207872 216832 224576 226016 229376 234088 237568 244178 247808 250096 258304 260876 262144 270193 275968 285824 298144 308792 310772 315392 321871 326656 340736 343882 355168 360448 363776 379456 393008 395528 401408 409654 415744 433664 449152 452032 458752 468176 475136 488356 495616 500192 516608 521752 524288 540386 543851 551936 571648 596288 617584 621544 630784 643742 653312 681472 687764 710336 720896 727552 758912 786016 791056 802816 819308 831488 854623 867328 898304 904064 917504 936352 950272 976712 991232 1000384 1033216 1043504 1048576 1080772 1087702 1103872 1143296 1192576 1235168 1243088 1261568 1287484 1306624 1342979 1362944 1375528 1420672 1433789 1441792 1455104 1517824 1572032 1582112 1605632 1638616 1662976 1709246 1734656 1796608 1808128 1835008 1872704 1891351 1900544 1953424 1982464 2000768 2066432 2087008 2097152 2161544 2175404 2207744 2253097 2286592 2385152 2470336 2486176 2523136 2574968 2613248 2685958 2725888 2751056 2841344 2867578 2883584 2910208 3035648 3144064 3164224 3211264 3277232 3325952 3418492 3469312 3540581 3593216 3616256 3670016 3745408 3782702 3801088 3906848 3964928 4001536 4132864 4174016 4323088 4350808 4415488 4506194 4573184 4770304 4940672 4972352 5046272 5149936 5226496 5371916 5451776 5502112 5682688 5735156 5767168 5820416 5982361 6071296 6288128 6328448 6422528 6554464 6651904 6836984 6938624 7081162 7186432 7232512 7340032 7490816 7565404 7602176 7813696 7929856 8003072 8265728 8348032 8646176 8701616 8830976 9012388 9146368 9400853 9540608 9881344 9944704 10092544 10299872 10452992 10743832 10903552 11004224 11365376 11470312 11534336 11640832 11964722 12142592 12576256 12656896 12845056 13108928 13303808 13673968 13877248 14162324 14372864 14465024 14680064 14981632 15130808 15204352 15627392 15771679 15859712 16006144 16531456 16696064 17292352 17403232 17661952 18024776 18292736 18801706 19081216 19762688 19889408 20185088 20599744 20905984 21487664 21807104 22008448 22730752 22940624 23068672 23281664 23929444 24285184 24784067 25152512 25313792 25690112 26217856 26607616 27347936 27754496 28324648 28745728 28930048 29963264 30261616 30408704 31254784 31543358 31719424 32012288 33062912 33392128 34584704 34806464 35323904 36049552 36585472 37603412 38162432 38946391 39525376 39778816 40370176 41199488 41811968 42975328 43614208 44016896 45461504 45881248 46563328 47858888 48570368 49568134 50305024 50627584 51380224 52435712 53215232 54695872 55508992 56649296 57491456 57860096 59926528 60523232 60817408 62509568 63086716 63438848 64024576 65805971 66125824 66784256 69169408 69612928 70647808 72099104 73170944 75206824 76324864 77892782 79050752 79557632 80740352 82398976 83623936 85950656 87228416 88033792 90923008 91762496 93126656 95717776 97140736 99136268 100610048 101255168 102760448 104871424 106430464 109391744 111017984 113298592 114982912 115720192 119853056 121046464 125019136 126173432 126877696 128049152 131611942 132251648 133568512 138338816 139225856 141295616 144198208 146341888 150413648 152649728 155785564 158101504 159115264 161480704 164797952 167247872 171901312 173488469 174456832 176067584 181846016 183524992 186253312 191435552 194281472 198272536 201220096 202510336 209742848 212860928 218783488 222035968 226597184 229965824 231440384 239706112 242092928 250038272 252346864 253755392 256098304 263223884 264503296 267137024 272624737 276677632 278451712 282591232 288396416 292683776 300827296 305299456 311571128 316203008 318230528 329595904 334495744 343802624 346976938 348913664 352135168 363692032 367049984 372506624 382871104 388562944 396545072 402440192 405020672 419485696 425721856 437566976 444071936 453194368 459931648 462880768 479412224 484185856 500076544 504693728 512196608 526447768 529006592 534274048 545249474 553355264 556903424 565182464 576792832 585367552 601654592 610598912 623142256 632406016 636461056 659191808 668991488 687605248 693953876 697827328 704270336 727384064 734099968 745013248 765742208 777125888 793090144 804880384 810041344 838971392 875133952 888143872 906388736 919863296 925761536 958824448 968371712 1000153088 1009387456 1024393216 1052895536 1058013184 1068548096 1090498948 1106710528 1113806848 1130364928 1153585664 1170735104 1203309184 1221197824 1246284512 1264812032 1272922112 1318383616 1375210496 1387907752 1395654656 1408540672 1454768128 1468199936 1490026496 1531484416 1554251776 1586180288 1609760768 1620082688 1677942784 1750267904 1776287744 1812777472 1839726592 1851523072 1908373159 1917648896 1936743424 2000306176 2018774912 2048786432 2105791072 2116026368 2137096192 2180997896 2213421056 2227613696 2307171328 2341470208 2406618368 2442395648 2492569024 2529624064 2545844224 2636767232 2750420992 2775815504 2791309312 2817081344 2909536256 2936399872 2980052992 3062968832 3108503552 3172360576 3219521536 3240165376 3355885568 3500535808 3625554944 3679453184 3703046144 3816746318 3835297792 3873486848 4000612352 4037549824 4097572864 4211582144 4274192384 4361995792 4426842112 4455227392 4614342656 4682940416 4813236736 4884791296 4985138048 5059248128 5091688448 5273534464 5500841984 5551631008 5634162688 5819072512 5872799744 6125937664 6217007104 6344721152 6439043072 6480330752 6711771136 7001071616 7251109888 7358906368 7406092288 7633492636 7670595584 7746973696 8001224704 8075099648 8195145728 8423164288 8548384768 8723991584 8853684224 8910454784 9228685312 9626473472 9769582592 9970276096 10118496256 10183376896 10547068928 11001683968 11103262016 11268325376 11638145024 11745599488 12251875328 12434014208 12689442304 12878086144 12960661504 13423542272 14002143232 14502219776 14812184576 15266985272 15341191168 15493947392 16002449408 16150199296 16390291456 16846328576 17096769536 17447983168 17707368448 17820909568 18457370624 19252946944 19539165184 19940552192 20236992512 20366753792 21094137856 22003367936 22206524032 22536650752 23276290048 23491198976 24503750656 25378884608 25756172288 25921323008 26847084544 28004286464 29004439552 30533970544 30682382336 30987894784 32004898816 32300398592 32780582912 33692657152 34193539072 34895966336 35414736896 35641819136 36914741248 38505893888 39881104384 40473985024 40733507584 42188275712 44006735872 44413048064 45073301504 46982397952 49007501312 50757769216 51512344576 51842646016 53694169088 56008572928 58008879104 61067941088 61364764672 61975789568 64009797632 64600797184 67385314304 68387078144 69791932672 70829473792 71283638272 73829482496 77011787776 79762208768 80947970048 81467015168 84376551424 88013471744 88826096128 90146603008 93964795904 98015002624 101515538432 103685292032 107388338176 112017145856 116017758208 122135882176 123951579136 128019595264 129201594368 134770628608 136774156288 139583865344 141658947584 142567276544 147658964992 154023575552 159524417536 162934030336 168753102848 176026943488 177652192256 180293206016 187929591808 196030005248 203031076864 214776676352 224034291712 232035516416 244271764352 247903158272 256039190528 258403188736 269541257216 279167730688 283317895168 285134553088 295317929984 308047151104 319048835072 337506205696 352053886976 355304384512 360586412032 375859183616 392060010496 406062153728 429553352704 448068583424 464071032832 488543528704 495806316544 516806377472 539082514432 558335461376 566635790336 570269106176 590635859968 616094302208 638097670144 675012411392 704107773952 710608769024 751718367232 784120020992 812124307456 896137166848 928142065664 977087057408 991612633088 1033612754944 1078165028864 1116670922752 1140538212352 1181271719936 1232188604416 1276195340288 1408215547904 1421217538048 1503436734464 1568240041984 1624248614912 1792274333696 1856284131328 1954174114816 1983225266176 2067225509888 2156330057728 2233341845504 2362543439872 2464377208832 2552390680576 2816431095808 2842435076096 3006873468928 3136480083968 3248497229824 3712568262656 3908348229632 3966450532352 4134451019776 4312660115456 4466683691008 4725086879744 4928754417664 5104781361152 5684870152192 6272960167936 6496994459648 7425136525312 7816696459264 8268902039552 8625320230912 8933367382016 9857508835328 10209562722304 11369740304384 12545920335872 12993988919296 15633392918528 16537804079104 17250640461824 17866734764032 19715017670656 20419125444608 22739480608768 25987977838592 31266785837056 33075608158208 34501280923648 35733469528064 40838250889216 45478961217536 51975955677184 62533571674112 69002561847296 71466939056128 81676501778432 90957922435072 125067143348224 138005123694592 142933878112256 181915844870144 250134286696448 285867756224512 363831689740288 500268573392896 571735512449024 1000537146785792 2001074293571584 4002148587143168
- Sum of all divisors σ(n): 10605187761343200
- Sum of proper divisors (its aliquot sum) s(n): 6603039174200032
- 4002148587143168 is an abundant number, because the sum of its proper divisors (6603039174200032) is greater than itself. Its abundance is 2600890587056864
Bases of 4002148587143168
- Binary: 11100011011111101110110101001110000000000000000000002
- Hexadecimal: 0xE37EED4E00000
- Base-36: 13EN5OGDCE8
Squares and roots of 4002148587143168
- 4002148587143168 squared (40021485871431682) is 16017193313572055786827729076224
- 4002148587143168 cubed (40021485871431683) is 64103187589911400522255253217717249211872837632
-
The
square root of 4002148587143168 is 63262536.9957858077 -
The
cube root of 4002148587143168 is 158768.5223551263
Scales and comparisons
How big is 4002148587143168?- 4,002,148,587,143,168 seconds is equal to 127,255,945 years, 31 weeks, 6 days, 1 hour, 6 minutes, 8 seconds.
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To count from 1 to 4,002,148,587,143,168 would take you about three hundred eighty-one million, seven hundred sixty-seven thousand, eight hundred thirty-six 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 4002148587143168 cubic inches would be around 13230.7 feet tall.
Recreational maths with 4002148587143168
- 4002148587143168 backwards is 8613417858412004
- The number of decimal digits it has is: 16
- The sum of 4002148587143168's digits is 62
- More coming soon!
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The information we have on file for 4002148587143168 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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