42128559654492576000
42,128,559,654,492,576,000 is an even composite number composed of six prime numbers multiplied together.
42128559654492576000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 42128559654492576000:
28 × 3 × 53 × 17 × 12007 × 2149918249
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 12007 × 2149918249)See below for interesting mathematical facts about the number 42128559654492576000 from the Numbermatics database.
Names of 42128559654492576000
- Cardinal: 42128559654492576000 can be written as Forty-two quintillion, one hundred twenty-eight quadrillion, five hundred fifty-nine trillion, six hundred fifty-four billion, four hundred ninety-two million, five hundred seventy-six thousand.
Scientific notation
- Scientific notation: 4.2128559654492576 × 1019
Factors of 42128559654492576000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 2149930283
Divisors of 42128559654492576000
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 125 128 136 150 160 170 192 200 204 240 250 255 256 272 300 320 340 375 384 400 408 425 480 500 510 544 600 640 680 750 768 800 816 850 960 1000 1020 1088 1200 1275 1280 1360 1500 1600 1632 1700 1920 2000 2040 2125 2176 2400 2550 2720 3000 3200 3264 3400 3840 4000 4080 4250 4352 4800 5100 5440 6000 6375 6400 6528 6800 8000 8160 8500 9600 10200 10880 12000 12007 12750 13056 13600 16000 16320 17000 19200 20400 21760 24000 24014 25500 27200 32000 32640 34000 36021 40800 48000 48028 51000 54400 60035 65280 68000 72042 81600 96000 96056 102000 108800 120070 136000 144084 163200 180105 192112 204000 204119 240140 272000 288168 300175 326400 360210 384224 408000 408238 480280 544000 576336 600350 612357 720420 768448 816000 816476 900525 960560 1020595 1152672 1200700 1224714 1440840 1500875 1536896 1632000 1632952 1801050 1921120 2041190 2305344 2401400 2449428 2881680 3001750 3061785 3073792 3265904 3602100 3842240 4082380 4502625 4610688 4802800 4898856 5102975 5763360 6003500 6123570 6531808 7204200 7684480 8164760 9005250 9221376 9605600 9797712 10205950 11526720 12007000 12247140 13063616 14408400 15308925 15368960 16329520 18010500 19211200 19595424 20411900 23053440 24014000 24494280 25514875 26127232 28816800 30617850 32659040 36021000 38422400 39190848 40823800 46106880 48028000 48988560 51029750 52254464 57633600 61235700 65318080 72042000 76544625 76844800 78381696 81647600 96056000 97977120 102059500 115267200 122471400 130636160 144084000 153089250 156763392 163295200 192112000 195954240 204119000 230534400 244942800 261272320 288168000 306178500 326590400 384224000 391908480 408238000 489885600 576336000 612357000 653180800 783816960 816476000 979771200 1152672000 1224714000 1306361600 1632952000 1959542400 2149918249 2449428000 3265904000 3919084800 4299836498 4898856000 6449754747 6531808000 8599672996 9797712000 10749591245 12899509494 17199345992 19595424000 21499182490 25799018988 32248773735 34398691984 36548610233 42998364980 51598037976 53747956225 64497547470 68797383968 73097220466 85996729960 103196075952 107495912450 109645830699 128995094940 137594767936 146194440932 161243868675 171993459920 182743051165 206392151904 214991824900 219291661398 257990189880 268739781125 275189535872 292388881864 322487737350 343986919840 365486102330 412784303808 429983649800 438583322796 515980379760 537479562250 548229153495 550379071744 584777763728 644975474700 687973839680 730972204660 806219343375 825568607616 859967299600 877166645592 913715255825 1031960759520 1074959124500 1096458306990 1169555527456 1289950949400 1375947679360 1461944409320 1612438686750 1651137215232 1719934599200 1754333291184 1827430511650 2063921519040 2149918249000 2192916613980 2339111054912 2579901898800 2741145767475 2751895358720 2923888818640 3224877373500 3439869198400 3508666582368 3654861023300 4127843038080 4299836498000 4385833227960 4568576279125 4678222109824 5159803797600 5482291534950 5847777637280 6449754747000 6879738396800 7017333164736 7309722046600 8255686076160 8599672996000 8771666455920 9137152558250 9356444219648 10319607595200 10964583069900 11695555274560 12899509494000 13705728837375 13759476793600 14034666329472 14619444093200 17199345992000 17543332911840 18274305116500 20639215190400 21929166139800 23391110549120 25799018988000 25814068415743 27411457674750 28069332658944 29238888186400 34398691984000 35086665823680 36548610233000 41278430380800 43858332279600 46782221098240 51598037976000 51628136831486 54822915349500 58477776372800 68797383968000 70173331647360 73097220466000 77442205247229 87716664559200 103196075952000 103256273662972 109645830699000 116955552745600 129070342078715 140346663294720 146194440932000 154884410494458 175433329118400 206392151904000 206512547325944 219291661398000 233911105491200 258140684157430 292388881864000 309768820988916 350866658236800 387211026236145 413025094651888 438583322796000 438839163067631 516281368314860 584777763728000 619537641977832 645351710393575 701733316473600 774422052472290 826050189303776 877166645592000 877678326135262 1032562736629720 1169555527456000 1239075283955664 1290703420787150 1316517489202893 1548844104944580 1652100378607552 1754333291184000 1755356652270524 1936055131180725 2065125473259440 2194195815338155 2478150567911328 2581406841574300 2633034978405786 3097688209889160 3226758551967875 3304200757215104 3508666582368000 3510713304541048 3872110262361450 4130250946518880 4388391630676310 4956301135822656 5162813683148600 5266069956811572 6195376419778320 6453517103935750 6582587446014465 6608401514430208 7021426609082096 7744220524722900 8260501893037760 8776783261352620 9680275655903625 9912602271645312 10325627366297200 10532139913623144 10970979076690775 12390752839556640 12907034207871500 13165174892028930 14042853218164192 15488441049445800 16521003786075520 17553566522705240 19360551311807250 19825204543290624 20651254732594400 21064279827246288 21941958153381550 24781505679113280 25814068415743000 26330349784057860 28085706436328384 30976882098891600 32912937230072325 33042007572151040 35107133045410480 38721102623614500 41302509465188800 42128559654492576 43883916306763100 49563011358226560 51628136831486000 52660699568115720 54854895383453875 56171412872656768 61953764197783200 65825874460144650 70214266090820960 77442205247229000 82605018930377600 84257119308985152 87767832613526200 99126022716453120 103256273662972000 105321399136231440 109709790766907750 112342825745313536 123907528395566400 131651748920289300 140428532181641920 154884410494458000 164564686150361625 165210037860755200 168514238617970304 175535665227052400 206512547325944000 210642798272462880 219419581533815500 247815056791132800 263303497840578600 280857064363283840 309768820988916000 329129372300723250 337028477235940608 351071330454104800 413025094651888000 421285596544925760 438839163067631000 495630113582265600 526606995681157200 561714128726567680 619537641977832000 658258744601446500 702142660908209600 826050189303776000 842571193089851520 877678326135262000 1053213991362314400 1239075283955664000 1316517489202893000 1404285321816419200 1685142386179703040 1755356652270524000 2106427982724628800 2478150567911328000 2633034978405786000 2808570643632838400 3510713304541048000 4212855965449257600 5266069956811572000 7021426609082096000 8425711930898515200 10532139913623144000 14042853218164192000 21064279827246288000 42128559654492576000
- Sum of all divisors σ(n): 148173527640220992000
- Sum of proper divisors (its aliquot sum) s(n): 106044967985728416000
- 42128559654492576000 is an abundant number, because the sum of its proper divisors (106044967985728416000) is greater than itself. Its abundance is 63916408331235840000
Bases of 42128559654492576000
- Binary: 1001001000101001101011010111001100100100001110001000011001000000002
- Hexadecimal: 0x248A6B5CC90E21900
- Base-36: 8W2MO11USB6DC
Squares and roots of 42128559654492576000
- 42128559654492576000 squared (421285596544925760002) is 1774815538562139634516500039115776000000
- 42128559654492576000 cubed (421285596544925760003) is 74770422292035468517328913837793902151768996478976000000000
-
The
square root of 42128559654492576000 is 6490651712.6165825413 -
The
cube root of 42128559654492576000 is 3479569.6734840457
Scales and comparisons
How big is 42128559654492576000?- 42,128,559,654,492,576,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,128,559,654,492,576,000 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 42128559654492576000 cubic inches would be around 289964.1 feet tall.
Recreational maths with 42128559654492576000
- 42128559654492576000 backwards is 00067529445695582124
- The number of decimal digits it has is: 20
- The sum of 42128559654492576000's digits is 84
- More coming soon!
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The information we have on file for 42128559654492576000 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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