42112829654016000
42,112,829,654,016,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42112829654016000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
42112829654016000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 42112829654016000:
213 × 3 × 53 × 112 × 31 × 151 × 24203
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 31 × 151 × 24203)See below for interesting mathematical facts about the number 42112829654016000 from the Numbermatics database.
Names of 42112829654016000
- Cardinal: 42112829654016000 can be written as Forty-two quadrillion, one hundred twelve trillion, eight hundred twenty-nine billion, six hundred fifty-four million, sixteen thousand.
Scientific notation
- Scientific notation: 4.2112829654016 × 1016
Factors of 42112829654016000
Divisors of 42112829654016000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 31 32 33 40 44 48 50 55 60 62 64 66 75 80 88 93 96 100 110 120 121 124 125 128 132 150 151 155 160 165 176 186 192 200 220 240 242 248 250 256 264 275 300 302 310 320 330 341 352 363 372 375 384 400 440 453 465 480 484 496 500 512 528 550 600 604 605 620 640 660 682 704 726 744 750 755 768 775 800 825 880 906 930 960 968 992 1000 1023 1024 1056 1100 1200 1208 1210 1240 1280 1320 1364 1375 1408 1452 1488 1500 1510 1536 1550 1600 1650 1661 1705 1760 1812 1815 1860 1920 1936 1984 2000 2046 2048 2112 2200 2265 2325 2400 2416 2420 2480 2560 2640 2728 2750 2816 2904 2976 3000 3020 3025 3072 3100 3200 3300 3322 3410 3520 3624 3630 3720 3751 3775 3840 3872 3875 3968 4000 4092 4096 4125 4224 4400 4530 4650 4681 4800 4832 4840 4960 4983 5115 5120 5280 5456 5500 5632 5808 5952 6000 6040 6050 6144 6200 6400 6600 6644 6820 7040 7248 7260 7440 7502 7550 7680 7744 7750 7936 8000 8184 8192 8250 8305 8448 8525 8800 9060 9075 9300 9362 9600 9664 9680 9920 9966 10230 10240 10560 10912 11000 11253 11264 11325 11616 11625 11904 12000 12080 12100 12288 12400 12800 13200 13288 13640 14043 14080 14496 14520 14880 15004 15100 15125 15360 15488 15500 15872 16000 16368 16500 16610 16896 17050 17600 18120 18150 18271 18600 18724 18755 18875 19200 19328 19360 19840 19932 20460 20480 21120 21824 22000 22506 22528 22650 23232 23250 23405 23808 24000 24160 24200 24203 24576 24800 24915 25575 25600 26400 26576 27280 28086 28160 28992 29040 29760 30008 30200 30250 30720 30976 31000 31744 32000 32736 33000 33220 33792 34100 35200 36240 36300 36542 37200 37448 37510 37750 38400 38656 38720 39680 39864 40920 40960 41525 42240 42625 43648 44000 45012 45056 45300 45375 46464 46500 46810 47616 48000 48320 48400 48406 49600 49830 51150 51200 51491 52800 53152 54560 54813 56172 56265 56320 56625 57984 58080 59520 60016 60400 60500 61440 61952 62000 63488 64000 65472 66000 66440 67584 68200 70215 70400 72480 72600 72609 73084 74400 74896 75020 75500 76800 77312 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725083155200 726283624000 743714430976 747742003800 748472934400 749712128000 768300032000 771862713600 792309408000 797591470720 817867776000 822516204180 823320227840 845130035200 849048984960 869991936000 870099786240 871540348800 877350617792 884426026000 899654553600 905652250624 906353944000 928106438656 929643038720 934677504750 935591168000 957109764864 964828392000 987984273408 996989338400 1014156042240 1028145255225 1029150284800 1056412544000 1061311231200 1087624732800 1089425436000 1096688272240 1115571646464 1122709401600 1124568192000 1132065313280 1152450048000 1160133048320 1162053798400 1196387206080 1234980341760 1246236673000 1267695052800 1276146353152 1286437856000 1316025926688 1326639039000 1358478375936 1359530916000 1370860340300 1392159657984 1394464558080 1403386752000 1415081641600 1450166310400 1452567248000 1495484007600 1499424256000 1543725427200 1584618816000 1595182941440 1645032408360 1646640455680 1690260070400 1698097969920 1713575425375 1739983872000 1740199572480 1743080697600 1754701235584 1768852052000 1799309107200 1811304501248 1812707888000 1859286077440 1869355009500 1871182336000 1914219529728 1929656784000 1993978676800 2056290510450 2058300569600 2112825088000 2122622462400 2175249465600 2178850872000 2193376544480 2231143292928 2245418803200 2249136384000 2264130626560 2304900096000 2320266096640 2324107596800 2392774412160 2469960683520 2492473346000 2535390105600 2552292706304 2572875712000 2632051853376 2653278078000 2716956751872 2719061832000 2741720680600 2784319315968 2788929116160 2806773504000 2830163283200 2900332620800 2905134496000 2990968015200 2998848512000 3087450854400 3169237632000 3190365882880 3290064816720 3396195939840 3427150850750 3480399144960 3486161395200 3509402471168 3537704104000 3622609002496 3625415776000 3718572154880 3738710019000 3742364672000 3828439059456 3859313568000 3987957353600 4112581020900 4116601139200 4225650176000 4245244924800 4350498931200 4357701744000 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13921596579840 13944645580800 14037609884672 14150816416000 14501663104000 14954840076000 15313756237824 15437254272000 15951829414400 16450324083600 16980979699200 17401995724800 17430806976000 17547012355840 18113045012480 18592860774400 19142195297280 19939786768000 20562905104500 20583005696000 21056414827008 21226224624000 21752494656000 21933765444800 22641306265600 23202660966400 23241075968000 23927744121600 24699606835200 25353901056000 25522927063040 26320518533760 27169567518720 27417206806000 27889291161600 28075219769344 28301632832000 29003326208000 29909680152000 30627512475648 30874508544000 31903658828800 32900648167200 33961959398400 34803991449600 34861613952000 35094024711680 38284390594560 39879573536000 41125810209000 41166011392000 42112829654016 42452449248000 43504989312000 43867530889600 45282612531200 46482151936000 47855488243200 51045854126080 52641037067520 54339135037440 54834413612000 55778582323200 56150439538688 56603265664000 58006652416000 59819360304000 61749017088000 63807317657600 65801296334400 67923918796800 69607982899200 69723227904000 70188049423360 76568781189120 79759147072000 82251620418000 84225659308032 84904898496000 87009978624000 87735061779200 90565225062400 92964303872000 95710976486400 105282074135040 109668827224000 112300879077376 113206531328000 116013304832000 119638720608000 123498034176000 127614635315200 131602592668800 135847837593600 139446455808000 140376098846720 153137562378240 159518294144000 164503240836000 168451318616064 169809796992000 174019957248000 175470123558400 191421952972800 210564148270080 219337654448000 226413062656000 239277441216000 255229270630400 263205185337600 271695675187200 278892911616000 280752197693440 319036588288000 329006481672000 336902637232128 339619593984000 348039914496000 350940247116800 382843905945600 421128296540160 438675308896000 452826125312000 478554882432000 526410370675200 561504395386880 638073176576000 658012963344000 679239187968000 701880494233600 765687811891200 842256593080320 877350617792000 957109764864000 1052820741350400 1276146353152000 1316025926688000 1358478375936000 1403760988467200 1684513186160640 1754701235584000 1914219529728000 2105641482700800 2632051853376000 2807521976934400 3509402471168000 3828439059456000 4211282965401600 5264103706752000 7018804942336000 8422565930803200 10528207413504000 14037609884672000 21056414827008000 42112829654016000
- Sum of all divisors σ(n): 160070157561839616
- Sum of proper divisors (its aliquot sum) s(n): 117957327907823616
- 42112829654016000 is an abundant number, because the sum of its proper divisors (117957327907823616) is greater than itself. Its abundance is 75844498253807616
Bases of 42112829654016000
- Binary: 100101011001110101100101001111000000001110100000000000002
- Hexadecimal: 0x959D653C03A000
- Base-36: BINR2V2YLMO
Squares and roots of 42112829654016000
- 42112829654016000 squared (421128296540160002) is 1773490421468169370264928256000000
- 42112829654016000 cubed (421128296540160003) is 74686700012318057119930867205383542276096000000000
-
The
square root of 42112829654016000 is 205214106.8591923093 -
The
cube root of 42112829654016000 is 347913.6551261265
Scales and comparisons
How big is 42112829654016000?- 42,112,829,654,016,000 seconds is equal to 1,339,057,719 years, 24 weeks, 10 hours, 40 minutes.
-
To count from 1 to 42,112,829,654,016,000 would take you about four billion, seventeen million, one hundred seventy-three thousand, one hundred fifty-eight 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 42112829654016000 cubic inches would be around 28992.8 feet tall.
Recreational maths with 42112829654016000
- 42112829654016000 backwards is 00061045692821124
- The number of decimal digits it has is: 17
- The sum of 42112829654016000's digits is 51
- More coming soon!
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Cite this page
MLA style:
"Number 42112829654016000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 42112829654016000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/42112829654016000/
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Numbermatics. 2024. "Number 42112829654016000 - Facts about the integer". https://numbermatics.com/n/42112829654016000/
The information we have on file for 42112829654016000 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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