42238838692642816000
42,238,838,692,642,816,000 is an even composite number composed of three prime numbers multiplied together.
What does the number 42238838692642816000 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 960 divisors.
42238838692642816000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42238838692642816000:
247 × 53 × 74
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7)See below for interesting mathematical facts about the number 42238838692642816000 from the Numbermatics database.
Names of 42238838692642816000
- Cardinal: 42238838692642816000 can be written as Forty-two quintillion, two hundred thirty-eight quadrillion, eight hundred thirty-eight trillion, six hundred ninety-two billion, six hundred forty-two million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 4.2238838692642816 × 1019
Factors of 42238838692642816000
Divisors of 42238838692642816000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 160 175 196 200 224 245 250 256 280 320 343 350 392 400 448 490 500 512 560 640 686 700 784 800 875 896 980 1000 1024 1120 1225 1280 1372 1400 1568 1600 1715 1750 1792 1960 2000 2048 2240 2401 2450 2560 2744 2800 3136 3200 3430 3500 3584 3920 4000 4096 4480 4802 4900 5120 5488 5600 6125 6272 6400 6860 7000 7168 7840 8000 8192 8575 8960 9604 9800 10240 10976 11200 12005 12250 12544 12800 13720 14000 14336 15680 16000 16384 17150 17920 19208 19600 20480 21952 22400 24010 24500 25088 25600 27440 28000 28672 31360 32000 32768 34300 35840 38416 39200 40960 42875 43904 44800 48020 49000 50176 51200 54880 56000 57344 60025 62720 64000 65536 68600 71680 76832 78400 81920 85750 87808 89600 96040 98000 100352 102400 109760 112000 114688 120050 125440 128000 131072 137200 143360 153664 156800 163840 171500 175616 179200 192080 196000 200704 204800 219520 224000 229376 240100 250880 256000 262144 274400 286720 300125 307328 313600 327680 343000 351232 358400 384160 392000 401408 409600 439040 448000 458752 480200 501760 512000 524288 548800 573440 600250 614656 627200 655360 686000 702464 716800 768320 784000 802816 819200 878080 896000 917504 960400 1003520 1024000 1048576 1097600 1146880 1200500 1229312 1254400 1310720 1372000 1404928 1433600 1536640 1568000 1605632 1638400 1756160 1792000 1835008 1920800 2007040 2048000 2097152 2195200 2293760 2401000 2458624 2508800 2621440 2744000 2809856 2867200 3073280 3136000 3211264 3276800 3512320 3584000 3670016 3841600 4014080 4096000 4194304 4390400 4587520 4802000 4917248 5017600 5242880 5488000 5619712 5734400 6146560 6272000 6422528 6553600 7024640 7168000 7340032 7683200 8028160 8192000 8388608 8780800 9175040 9604000 9834496 10035200 10485760 10976000 11239424 11468800 12293120 12544000 12845056 13107200 14049280 14336000 14680064 15366400 16056320 16384000 16777216 17561600 18350080 19208000 19668992 20070400 20971520 21952000 22478848 22937600 24586240 25088000 25690112 26214400 28098560 28672000 29360128 30732800 32112640 32768000 33554432 35123200 36700160 38416000 39337984 40140800 41943040 43904000 44957696 45875200 49172480 50176000 51380224 52428800 56197120 57344000 58720256 61465600 64225280 65536000 67108864 70246400 73400320 76832000 78675968 80281600 83886080 87808000 89915392 91750400 98344960 100352000 102760448 104857600 112394240 114688000 117440512 122931200 128450560 131072000 134217728 140492800 146800640 153664000 157351936 160563200 167772160 175616000 179830784 183500800 196689920 200704000 205520896 209715200 224788480 229376000 234881024 245862400 256901120 262144000 268435456 280985600 293601280 307328000 314703872 321126400 335544320 351232000 359661568 367001600 393379840 401408000 411041792 419430400 449576960 458752000 469762048 491724800 513802240 524288000 536870912 561971200 587202560 614656000 629407744 642252800 671088640 702464000 719323136 734003200 786759680 802816000 822083584 838860800 899153920 917504000 939524096 983449600 1027604480 1048576000 1073741824 1123942400 1174405120 1229312000 1258815488 1284505600 1342177280 1404928000 1438646272 1468006400 1573519360 1605632000 1644167168 1677721600 1798307840 1835008000 1879048192 1966899200 2055208960 2097152000 2147483648 2247884800 2348810240 2458624000 2517630976 2569011200 2684354560 2809856000 2877292544 2936012800 3147038720 3211264000 3288334336 3355443200 3596615680 3670016000 3758096384 3933798400 4110417920 4194304000 4294967296 4495769600 4697620480 4917248000 5035261952 5138022400 5368709120 5619712000 5754585088 5872025600 6294077440 6422528000 6576668672 6710886400 7193231360 7340032000 7516192768 7867596800 8220835840 8388608000 8589934592 8991539200 9395240960 9834496000 10070523904 10276044800 10737418240 11239424000 11509170176 11744051200 12588154880 12845056000 13153337344 13421772800 14386462720 14680064000 15032385536 15735193600 16441671680 16777216000 17179869184 17983078400 18790481920 19668992000 20141047808 20552089600 21474836480 22478848000 23018340352 23488102400 25176309760 25690112000 26306674688 26843545600 28772925440 29360128000 30064771072 31470387200 32883343360 33554432000 34359738368 35966156800 37580963840 39337984000 40282095616 41104179200 42949672960 44957696000 46036680704 46976204800 50352619520 51380224000 52613349376 53687091200 57545850880 58720256000 60129542144 62940774400 65766686720 67108864000 68719476736 71932313600 75161927680 78675968000 80564191232 82208358400 85899345920 89915392000 92073361408 93952409600 100705239040 102760448000 105226698752 107374182400 115091701760 117440512000 120259084288 125881548800 131533373440 134217728000 137438953472 143864627200 150323855360 157351936000 161128382464 164416716800 171798691840 179830784000 184146722816 187904819200 201410478080 205520896000 210453397504 214748364800 230183403520 234881024000 240518168576 251763097600 263066746880 268435456000 274877906944 287729254400 300647710720 314703872000 322256764928 328833433600 343597383680 359661568000 368293445632 375809638400 402820956160 411041792000 420906795008 429496729600 460366807040 469762048000 481036337152 503526195200 526133493760 536870912000 549755813888 575458508800 601295421440 629407744000 644513529856 657666867200 687194767360 719323136000 736586891264 751619276800 805641912320 822083584000 841813590016 858993459200 920733614080 939524096000 962072674304 1007052390400 1052266987520 1073741824000 1099511627776 1150917017600 1202590842880 1258815488000 1289027059712 1315333734400 1374389534720 1438646272000 1473173782528 1503238553600 1611283824640 1644167168000 1683627180032 1717986918400 1841467228160 1879048192000 1924145348608 2014104780800 2104533975040 2147483648000 2199023255552 2301834035200 2405181685760 2517630976000 2578054119424 2630667468800 2748779069440 2877292544000 2946347565056 3006477107200 3222567649280 3288334336000 3367254360064 3435973836800 3682934456320 3758096384000 3848290697216 4028209561600 4209067950080 4294967296000 4398046511104 4603668070400 4810363371520 5035261952000 5156108238848 5261334937600 5497558138880 5754585088000 5892695130112 6012954214400 6445135298560 6576668672000 6734508720128 6871947673600 7365868912640 7516192768000 7696581394432 8056419123200 8418135900160 8589934592000 8796093022208 9207336140800 9620726743040 10070523904000 10312216477696 10522669875200 10995116277760 11509170176000 11785390260224 12025908428800 12890270597120 13153337344000 13469017440256 13743895347200 14731737825280 15032385536000 15393162788864 16112838246400 16836271800320 17179869184000 17592186044416 18414672281600 19241453486080 20141047808000 20624432955392 21045339750400 21990232555520 23018340352000 23570780520448 24051816857600 25780541194240 26306674688000 26938034880512 27487790694400 29463475650560 30064771072000 30786325577728 32225676492800 33672543600640 34359738368000 35184372088832 36829344563200 38482906972160 40282095616000 41248865910784 42090679500800 43980465111040 46036680704000 47141561040896 48103633715200 51561082388480 52613349376000 53876069761024 54975581388800 58926951301120 60129542144000 61572651155456 64451352985600 67345087201280 68719476736000 70368744177664 73658689126400 76965813944320 80564191232000 82497731821568 84181359001600 87960930222080 92073361408000 94283122081792 96207267430400 103122164776960 105226698752000 107752139522048 109951162777600 117853902602240 120259084288000 123145302310912 128902705971200 134690174402560 137438953472000 140737488355328 147317378252800 153931627888640 161128382464000 164995463643136 168362718003200 175921860444160 184146722816000 188566244163584 192414534860800 206244329553920 210453397504000 215504279044096 219902325555200 235707805204480 240518168576000 246290604621824 257805411942400 269380348805120 274877906944000 294634756505600 307863255777280 322256764928000 329990927286272 336725436006400 351843720888320 368293445632000 377132488327168 384829069721600 412488659107840 420906795008000 431008558088192 439804651110400 471415610408960 481036337152000 492581209243648 515610823884800 538760697610240 549755813888000 589269513011200 615726511554560 644513529856000 659981854572544 673450872012800 703687441776640 736586891264000 754264976654336 769658139443200 824977318215680 841813590016000 862017116176384 879609302220800 942831220817920 962072674304000 985162418487296 1031221647769600 1077521395220480 1099511627776000 1178539026022400 1231453023109120 1289027059712000 1319963709145088 1346901744025600 1473173782528000 1508529953308672 1539316278886400 1649954636431360 1683627180032000 1724034232352768 1759218604441600 1885662441635840 1924145348608000 2062443295539200 2155042790440960 2199023255552000 2357078052044800 2462906046218240 2578054119424000 2639927418290176 2693803488051200 2946347565056000 3017059906617344 3078632557772800 3299909272862720 3367254360064000 3448068464705536 3518437208883200 3771324883271680 3848290697216000 4124886591078400 4310085580881920 4398046511104000 4714156104089600 4925812092436480 5156108238848000 5279854836580352 5387606976102400 5892695130112000 6034119813234688 6157265115545600 6599818545725440 6734508720128000 6896136929411072 7542649766543360 7696581394432000 8249773182156800 8620171161763840 8796093022208000 9428312208179200 10312216477696000 10559709673160704 10775213952204800 11785390260224000 12068239626469376 12314530231091200 13199637091450880 13469017440256000 15085299533086720 15393162788864000 16499546364313600 17240342323527680 17592186044416000 18856624416358400 20624432955392000 21119419346321408 21550427904409600 23570780520448000 24136479252938752 24629060462182400 26399274182901760 26938034880512000 30170599066173440 30786325577728000 32999092728627200 34480684647055360 37713248832716800 41248865910784000 42238838692642816 43100855808819200 47141561040896000 48272958505877504 52798548365803520 53876069761024000 60341198132346880 61572651155456000 65998185457254400 75426497665433600 82497731821568000 84477677385285632 86201711617638400 94283122081792000 105597096731607040 107752139522048000 120682396264693760 123145302310912000 131996370914508800 150852995330867200 164995463643136000 168955354770571264 172403423235276800 188566244163584000 211194193463214080 215504279044096000 241364792529387520 263992741829017600 301705990661734400 329990927286272000 337910709541142528 377132488327168000 422388386926428160 431008558088192000 527985483658035200 603411981323468800 659981854572544000 754264976654336000 844776773852856320 862017116176384000 1055970967316070400 1206823962646937600 1319963709145088000 1508529953308672000 1689553547705712640 2111941934632140800 2639927418290176000 3017059906617344000 4223883869264281600 5279854836580352000 6034119813234688000 8447767738528563200 10559709673160704000 21119419346321408000 42238838692642816000
- Sum of all divisors σ(n): 122992179923580966180
- Sum of proper divisors (its aliquot sum) s(n): 80753341230938150180
- 42238838692642816000 is an abundant number, because the sum of its proper divisors (80753341230938150180) is greater than itself. Its abundance is 38514502538295334180
Bases of 42238838692642816000
- Binary: 1001001010001011101000000000000000000000000000000000000000000000002
- Hexadecimal: 0x24A2E800000000000
- Base-36: 8WWSIOOLAKQ9S
Squares and roots of 42238838692642816000
- 42238838692642816000 squared (422388386926428160002) is 1784119494103099873529686556409856000000
- 42238838692642816000 cubed (422388386926428160003) is 75359135519820341331907409377819725216393509994496000000000
-
The
square root of 42238838692642816000 is 6499141381.1858883119 -
The
cube root of 42238838692642816000 is 3482603.1600647599
Scales and comparisons
How big is 42238838692642816000?- 42,238,838,692,642,816,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,238,838,692,642,816,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42238838692642816000 cubic inches would be around 290216.9 feet tall.
Recreational maths with 42238838692642816000
- 42238838692642816000 backwards is 00061824629683883224
- The number of decimal digits it has is: 20
- The sum of 42238838692642816000's digits is 82
- More coming soon!
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"Number 42238838692642816000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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The information we have on file for 42238838692642816000 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 42238838692642816000, math, Factors of 42238838692642816000, curriculum, school, college, exams, university, Prime factorization of 42238838692642816000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quintillion, two hundred thirty-eight quadrillion, eight hundred thirty-eight trillion, six hundred ninety-two billion, six hundred forty-two million, eight hundred sixteen thousand.