42143012208171417600
42,143,012,208,171,417,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 42143012208171417600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1944 divisors.
42143012208171417600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 42143012208171417600:
217 × 35 × 52 × 419 × 112392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 419 × 11239 × 11239)See below for interesting mathematical facts about the number 42143012208171417600 from the Numbermatics database.
Names of 42143012208171417600
- Cardinal: 42143012208171417600 can be written as Forty-two quintillion, one hundred forty-three quadrillion, twelve trillion, two hundred eight billion, one hundred seventy-one million, four hundred seventeen thousand, six hundred.
Scientific notation
- Scientific notation: 4.21430122081714176 × 1019
Factors of 42143012208171417600
Divisors of 42143012208171417600
- Number of divisors d(n): 1944
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 243 256 270 288 300 320 324 360 384 400 405 419 432 450 480 486 512 540 576 600 640 648 675 720 768 800 810 838 864 900 960 972 1024 1080 1152 1200 1215 1257 1280 1296 1350 1440 1536 1600 1620 1676 1728 1800 1920 1944 2025 2048 2095 2160 2304 2400 2430 2514 2560 2592 2700 2880 3072 3200 3240 3352 3456 3600 3771 3840 3888 4050 4096 4190 4320 4608 4800 4860 5028 5120 5184 5400 5760 6075 6144 6285 6400 6480 6704 6912 7200 7542 7680 7776 8100 8192 8380 8640 9216 9600 9720 10056 10240 10368 10475 10800 11239 11313 11520 12150 12288 12570 12800 12960 13408 13824 14400 15084 15360 15552 16200 16384 16760 17280 18432 18855 19200 19440 20112 20480 20736 20950 21600 22478 22626 23040 24300 24576 25140 25600 25920 26816 27648 28800 30168 30720 31104 31425 32400 32768 33520 33717 33939 34560 36864 37710 38400 38880 40224 40960 41472 41900 43200 44956 45252 46080 48600 49152 50280 51200 51840 53632 55296 56195 56565 57600 60336 61440 62208 62850 64800 65536 67040 67434 67878 69120 73728 75420 76800 77760 80448 81920 82944 83800 86400 89912 90504 92160 94275 97200 98304 100560 101151 101817 102400 103680 107264 110592 112390 113130 115200 120672 122880 124416 125700 129600 131072 134080 134868 135756 138240 147456 150840 153600 155520 160896 163840 165888 167600 168585 169695 172800 179824 181008 184320 188550 194400 196608 201120 202302 203634 204800 207360 214528 221184 224780 226260 230400 241344 245760 248832 251400 259200 268160 269736 271512 276480 280975 282825 294912 301680 303453 307200 311040 321792 327680 331776 335200 337170 339390 345600 359648 362016 368640 377100 388800 393216 402240 404604 407268 409600 414720 429056 442368 449560 452520 460800 482688 491520 497664 502800 505755 509085 518400 536320 539472 543024 552960 561950 565650 589824 603360 606906 614400 622080 643584 655360 663552 670400 674340 678780 691200 719296 724032 737280 754200 777600 804480 809208 814536 819200 829440 842925 848475 858112 884736 899120 905040 910359 921600 965376 983040 995328 1005600 1011510 1018170 1036800 1072640 1078944 1086048 1105920 1123900 1131300 1179648 1206720 1213812 1228800 1244160 1287168 1327104 1340800 1348680 1357560 1382400 1438592 1448064 1474560 1508400 1517265 1555200 1608960 1618416 1629072 1638400 1658880 1685850 1696950 1716224 1769472 1798240 1810080 1820718 1843200 1930752 1966080 1990656 2011200 2023020 2036340 2073600 2145280 2157888 2172096 2211840 2247800 2262600 2413440 2427624 2457600 2488320 2528775 2545425 2574336 2654208 2681600 2697360 2715120 2731077 2764800 2877184 2896128 2949120 3016800 3034530 3110400 3217920 3236832 3258144 3276800 3317760 3371700 3393900 3432448 3538944 3596480 3620160 3641436 3686400 3861504 3981312 4022400 4046040 4072680 4147200 4290560 4315776 4344192 4423680 4495600 4525200 4551795 4709141 4826880 4855248 4915200 4976640 5057550 5090850 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677453256947200 685921422659040 698472093081600 731649517502976 745036899287040 749942382919680 762134914065600 785781104716800 812943908336640 823105707190848 838166511697920 857401778323800 867140168892416 914561896878720 931296124108800 937427978649600 975532690003968 1005799814037504 1016179885420800 1028882133988560 1047708139622400 1083925211115520 1097474276254464 1117555348930560 1143202371098400 1219415862504960 1241728165478400 1249903971532800 1257249767546880 1286102667485700 1300710253338624 1341066418716672 1354906513894400 1371842845318080 1396944186163200 1463299035005952 1524269828131200 1571562209433600 1625887816673280 1646211414381696 1676333023395840 1714803556647600 1734280337784832 1829123793757440 1862592248217600 1874855957299200 1951065380007936 2011599628075008 2032359770841600 2057764267977120 2095416279244800 2167850422231040 2194948552508928 2235110697861120 2286404742196800 2438831725009920 2514499535093760 2572205334971400 2601420506677248 2709813027788800 2743685690636160 2793888372326400 2926598070011904 3048539656262400 3143124418867200 3251775633346560 3292422828763392 3352666046791680 3429607113295200 3468560675569664 3658247587514880 3725184496435200 3749711914598400 3902130760015872 4023199256150016 4064719541683200 4115528535954240 4190832558489600 4335700844462080 4389897105017856 4572809484393600 4877663450019840 5028999070187520 5144410669942800 5202841013354496 5419626055577600 5487371381272320 5587776744652800 5853196140023808 6097079312524800 6286248837734400 6503551266693120 6584845657526784 6705332093583360 6859214226590400 6937121351139328 7316495175029760 7804261520031744 8129439083366400 8231057071908480 8381665116979200 8671401688924160 8779794210035712 9145618968787200 9755326900039680 10057998140375040 10288821339885600 10405682026708992 10839252111155200 10974742762544640 11175553489305600 11706392280047616 12194158625049600 12572497675468800 13007102533386240 13169691315053568 13718428453180800 14632990350059520 15608523040063488 16258878166732800 16462114143816960 16763330233958400 17342803377848320 17559588420071424 18291237937574400 19510653800079360 20115996280750080 20577642679771200 20811364053417984 21678504222310400 21949485525089280 23412784560095232 24388317250099200 25144995350937600 26014205066772480 26339382630107136 27436856906361600 29265980700119040 31217046080126976 32517756333465600 32924228287633920 33526660467916800 34685606755696640 35119176840142848 36582475875148800 39021307600158720 41155285359542400 43357008444620800 43898971050178560 46825569120190464 48776634500198400 50289990701875200 52028410133544960 52678765260214272 54873713812723200 58531961400238080 62434092160253952 65035512666931200 65848456575267840 70238353680285696 73164951750297600 78042615200317440 82310570719084800 86714016889241600 87797942100357120 93651138240380928 97553269000396800 100579981403750400 104056820267089920 105357530520428544 109747427625446400 117063922800476160 130071025333862400 131696913150535680 140476707360571392 146329903500595200 156085230400634880 164621141438169600 173428033778483200 175595884200714240 187302276480761856 195106538000793600 210715061040857088 219494855250892800 234127845600952320 260142050667724800 263393826301071360 280953414721142784 292659807001190400 312170460801269760 329242282876339200 351191768401428480 390213076001587200 421430122081714176 438989710501785600 468255691201904640 520284101335449600 526787652602142720 561906829442285568 585319614002380800 658484565752678400 702383536802856960 780426152003174400 842860244163428352 877979421003571200 936511382403809280 1053575305204285440 1170639228004761600 1316969131505356800 1404767073605713920 1560852304006348800 1685720488326856704 1755958842007142400 2107150610408570880 2341278456009523200 2633938263010713600 2809534147211427840 3511917684014284800 4214301220817141760 4682556912019046400 5267876526021427200 7023835368028569600 8428602441634283520 10535753052042854400 14047670736057139200 21071506104085708800 42143012208171417600
- Sum of all divisors σ(n): 156943964521391851440
- Sum of proper divisors (its aliquot sum) s(n): 114800952313220433840
- 42143012208171417600 is an abundant number, because the sum of its proper divisors (114800952313220433840) is greater than itself. Its abundance is 72657940105049016240
Bases of 42143012208171417600
- Binary: 1001001000110110100000111001010001111100010000001000000000000000002
- Hexadecimal: 0x248DA0E51F1020000
- Base-36: 8W6KZ15CUTC00
Squares and roots of 42143012208171417600
- 42143012208171417600 squared (421430122081714176002) is 1776033477978085143282961505593589760000
- 42143012208171417600 cubed (421430122081714176003) is 74847400544551584746151932136481934924405029812043776000000
-
The
square root of 42143012208171417600 is 6491764953.2443345849 -
The
cube root of 42143012208171417600 is 3479967.5264555575
Scales and comparisons
How big is 42143012208171417600?- 42,143,012,208,171,417,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,143,012,208,171,417,600 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 42143012208171417600 cubic inches would be around 289997.3 feet tall.
Recreational maths with 42143012208171417600
- 42143012208171417600 backwards is 00671417180221034124
- 42143012208171417600 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42143012208171417600's digits is 54
- More coming soon!
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"Number 42143012208171417600 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 42143012208171417600 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/42143012208171417600/
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Numbermatics. 2024. "Number 42143012208171417600 - Facts about the integer". https://numbermatics.com/n/42143012208171417600/
The information we have on file for 42143012208171417600 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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