12442322414016000
12,442,322,414,016,000 is an even composite number composed of six prime numbers multiplied together.
12442322414016000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 12442322414016000:
29 × 32 × 53 × 11 × 47 × 3473
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 47 × 347 × 347 × 347)See below for interesting mathematical facts about the number 12442322414016000 from the Numbermatics database.
Names of 12442322414016000
- Cardinal: 12442322414016000 can be written as Twelve quadrillion, four hundred forty-two trillion, three hundred twenty-two billion, four hundred fourteen million, sixteen thousand.
Scientific notation
- Scientific notation: 1.2442322414016 × 1016
Factors of 12442322414016000
Divisors of 12442322414016000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 47 48 50 55 60 64 66 72 75 80 88 90 94 96 99 100 110 120 125 128 132 141 144 150 160 165 176 180 188 192 198 200 220 225 235 240 250 256 264 275 282 288 300 320 330 347 352 360 375 376 384 396 400 423 440 450 470 480 495 500 512 517 528 550 564 576 600 640 660 694 704 705 720 750 752 768 792 800 825 846 880 900 940 960 990 1000 1034 1041 1056 1100 1125 1128 1152 1175 1200 1280 1320 1375 1388 1408 1410 1440 1500 1504 1536 1551 1584 1600 1650 1692 1735 1760 1800 1880 1920 1980 2000 2068 2082 2112 2115 2200 2250 2256 2304 2350 2400 2475 2560 2585 2640 2750 2776 2816 2820 2880 3000 3008 3102 3123 3168 3200 3300 3384 3470 3520 3525 3600 3760 3817 3840 3960 4000 4125 4136 4164 4224 4230 4400 4500 4512 4608 4653 4700 4800 4950 5170 5205 5280 5500 5552 5632 5640 5760 5875 6000 6016 6204 6246 6336 6400 6600 6768 6940 7040 7050 7200 7520 7634 7680 7755 7920 8000 8250 8272 8328 8448 8460 8675 8800 9000 9024 9306 9400 9600 9900 10340 10410 10560 10575 11000 11104 11280 11451 11520 11750 12000 12032 12375 12408 12492 12672 12800 12925 13200 13536 13880 14080 14100 14400 15040 15268 15510 15615 15840 16000 16309 16500 16544 16656 16896 16920 17350 17600 17625 18000 18048 18612 18800 19085 19200 19800 20680 20820 21120 21150 22000 22208 22560 22902 23040 23265 23500 24000 24064 24750 24816 24984 25344 25850 26025 26400 27072 27760 28160 28200 28800 30080 30536 31020 31230 31680 32000 32618 33000 33088 33312 33840 34353 34700 35200 35250 36000 36096 37224 37600 38170 38400 38775 39600 41360 41640 42240 42300 43375 44000 44416 45120 45804 46530 47000 48000 48927 49500 49632 49968 50688 51700 52050 52800 52875 54144 55520 56400 57255 57600 60160 61072 62040 62460 63360 64000 64625 65236 66000 66176 66624 67680 68706 69400 70400 70500 72000 72192 74448 75200 76340 77550 78075 79200 81545 82720 83280 84480 84600 86750 88000 88832 90240 91608 93060 94000 95425 96000 97854 99000 99264 99936 103400 104100 105600 105750 108288 111040 112800 114510 115200 116325 120320 120409 122144 124080 124920 126720 129250 130125 130472 132000 132352 133248 135360 137412 138800 140800 141000 144000 146781 148896 150400 152680 155100 156150 158400 163090 165440 166560 169200 171765 173500 176000 177664 179399 180480 183216 186120 188000 190850 192000 193875 195708 198000 198528 199872 206800 208200 211200 211500 216576 222080 225600 229020 232650 240818 244288 244635 248160 249840 253440 258500 260250 260944 264000 264704 266496 270720 274824 277600 282000 286275 288000 293562 297792 300800 305360 310200 312300 316800 326180 330880 333120 338400 343530 347000 352000 358798 360960 361227 366432 372240 376000 381700 387750 390375 391416 396000 397056 399744 407725 413600 416400 422400 423000 444160 451200 458040 465300 477125 481636 488576 489270 496320 499680 517000 520500 521888 528000 532992 538197 541440 549648 555200 564000 572550 576000 581625 587124 595584 601600 602045 610720 620400 624600 633600 652360 661760 666240 676800 687060 694000 704000 717596 722454 732864 733905 744480 752000 763400 775500 780750 782832 792000 794112 799488 815450 827200 832800 846000 858825 888320 896995 902400 916080 930600 954250 963272 977152 978540 992640 999360 1034000 1041000 1043776 1056000 1076394 1082880 1083681 1099296 1110400 1128000 1145100 1163250 1174248 1191168 1204090 1221440 1223175 1240800 1249200 1267200 1304720 1323520 1324499 1332480 1353600 1374120 1388000 1431375 1435192 1444908 1465728 1467810 1488960 1504000 1526800 1551000 1561500 1565664 1584000 1598976 1614591 1630900 1654400 1665600 1692000 1717650 1793990 1804800 1806135 1832160 1861200 1908500 1926544 1954304 1957080 1985280 1998720 2038625 2068000 2082000 2087552 2112000 2152788 2167362 2198592 2220800 2256000 2290200 2326500 2348496 2382336 2408180 2442880 2446350 2481600 2498400 2609440 2648998 2664960 2690985 2707200 2748240 2776000 2862750 2870384 2889816 2931456 2935620 2977920 3008000 3010225 3053600 3102000 3123000 3131328 3168000 3229182 3261800 3308800 3331200 3384000 3435300 3587980 3612270 3664320 3669525 3722400 3817000 3853088 3914160 3970560 3973497 3997440 4077250 4136000 4164000 4175104 4294125 4305576 4334724 4397184 4441600 4484975 4512000 4580400 4653000 4696992 4816360 4885760 4892700 4963200 4996800 5218880 5297996 5381970 5414400 5418405 5496480 5552000 5659223 5725500 5740768 5779632 5862912 5871240 5955840 6020450 6107200 6115875 6204000 6246000 6262656 6336000 6458364 6523600 6617600 6622495 6662400 6768000 6870600 7175960 7224540 7328640 7339050 7444800 7634000 7706176 7828320 7946994 7994880 8072955 8154500 8272000 8328000 8350208 8588250 8611152 8669448 8794368 8969950 9024000 9030675 9160800 9306000 9393984 9632720 9771520 9785400 9926400 9993600 10437760 10595992 10763940 10836810 10992960 11104000 11318446 11451000 11481536 11559264 11742480 11911680 11920491 12040900 12214400 12231750 12408000 12492000 12525312 12916728 13047200 13244990 13324800 13454925 13536000 13741200 14351920 14449080 14657280 14678100 14889600 15051125 15268000 15412352 15656640 15893988 16145910 16309000 16544000 16656000 16977669 17176500 17222304 17338896 17588736 17939900 18061350 18321600 18347625 18612000 18787968 19265440 19570800 19852800 19867485 19987200 20875520 21191984 21527880 21673620 21985920 22208000 22424875 22636892 22902000 22963072 23118528 23484960 23840982 24081800 24428800 24463500 24816000 24984000 25050624 25833456 26094400 26489980 26909850 27072000 27092025 27482400 28296115 28703840 28898160 29314560 29356200 29779200 30102250 30536000 30824704 31313280 31787976 32291820 32618000 33088000 33112475 33312000 33955338 34353000 34444608 34677792 35879800 36122700 36643200 36695250 37224000 37575936 38530880 39141600 39734970 39974400 40364775 41751040 41781923 42383968 43055760 43347240 43971840 44849750 45153375 45273784 45804000 45926144 46237056 46969920 47681964 48163600 48857600 48927000 49632000 49968000 50933007 51666912 52188800 52979960 53819700 54184050 54964800 56592230 57407680 57796320 58712400 59558400 59602455 60204500 61072000 61649408 62251453 62626560 63575952 64583640 65236000 66224950 66624000 67274625 67910676 68706000 68889216 69355584 71759600 72245400 73286400 73390500 74448000 75151872 77061760 78283200 79469940 80729550 83563846 84767936 84888345 86111520 86694480 87943680 89699500 90306750 90547568 91608000 91852288 92474112 93939840 95363928 96327200 97854000 99264000 99337425 99936000 101866014 103333824 104377600 105959920 107639400 108368100 109929600 113184460 114815360 115592640 117424800 119204910 120409000 122144000 124502906 125253120 125345769 127151904 129167280 130472000 132449900 134549250 135460125 135821352 137412000 137778432 138711168 141480575 143519200 144490800 146572800 146781000 148896000 154123520 156566400 158939880 161459100 165562375 167127692 169535872 169776690 172223040 173388960 179399000 180613500 181095136 183216000 184948224 186754359 187879680 190727856 192654400 195708000 198674850 199872000 201823875 203732028 206667648 208755200 208909615 211919840 215278800 216736200 219859200 226368920 229630720 231185280 234849600 238409820 240818000 244288000 249005812 250691538 254303808 254665035 258334560 260944000 264899800 269098500 270920250 271642704 274824000 275556864 277422336 282961150 287038400 288981600 293562000 297792000 298012275 308247040 311257265 313132800 317879760 322918200 331124750 334255384 339071744 339553380 344446080 346777920 358798000 361227000 362190272 366432000 373508718 375759360 376037307 381455712 385308800 391416000 397349700 403647750 407464056 413335296 417819230 423839680 424441725 430557600 433472400 439718400 452737840 459261440 459601153 462370560 469699200 476819640 481636000 496687125 498011624 501383076 508607616 509330070 516669120 521888000 529799600 538197000 541840500 543285408 549648000 554844672 560263077 565922300 574076800 577963200 587124000 596024550 622514530 626265600 626728845 635759520 645836400 662249500 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147281278575 149403487200 150414922800 152582284800 157100030480 159363719680 160442584320 162985622400 165456415080 167127692000 172350432375 172810033528 176486842752 176737534290 179284184640 181095136000 183840461200 186754359000 188018653500 188520036576 190727856000 192531101184 194411287719 196375038100 199204649600 200553230400 203732028000 206820518850 216012541910 217314163200 220608553440 224105230800 229800576500 235315790336 235650045720 239045579520 240663876480 245468797625 249005812000 250691538000 251360048768 254303808000 259215050292 264730264128 267404307200 271642704000 275760691800 280131538500 282780054864 286854695424 294144737920 294562557150 298806974400 300829845600 314200060960 320885168640 324018812865 325971244800 330912830160 334255384000 344700864750 345620067056 352973685504 353475068580 358568369280 362190272000 367680922400 373508718000 376037307000 377040073152 381455712000 388822575438 392750076200 398409299200 401106460800 407464056000 413641037700 432025083820 441217106880 441843835725 448210461600 459601153000 471300091440 478091159040 481327752960 490937595250 498011624000 501383076000 502720097536 517051297125 518430100584 529460528256 534808614400 540031354775 543285408000 551521383600 560263077000 565560109728 588289475840 589125114300 597613948800 601659691200 628400121920 648037625730 651942489600 661825660320 668510768000 689401729500 691240134112 705947371008 706950137160 717136738560 735361844800 736406392875 747017436000 752074614000 754080146304 762911424000 777645150876 785500152400 796818598400 802212921600 814928112000 827282075400 864050167640 882434213760 883687671450 896420923200 919202306000 942600182880 962655505920 972056438595 981875190500 996023248000 1002766152000 1005440195072 1034102594250 1036860201168 1058921056512 1080062709550 1086570816000 1103042767200 1120526154000 1131120219456 1176578951680 1178250228600 1195227897600 1203319382400 1256800243840 1296075251460 1323651320640 1337021536000 1378803459000 1382480268224 1413900274320 1434273477120 1470723689600 1472812785750 1494034872000 1504149228000 1508160292608 1555290301752 1571000304800 1604425843200 1620094064325 1629856224000 1654564150800 1728100335280 1764868427520 1767375342900 1792841846400 1838404612000 1885200365760 1944112877190 1963750381000 1992046496000 2005532304000 2068205188500 2073720402336 2117842113024 2160125419100 2206085534400 2209219178625 2241052308000 2262240438912 2356500457200 2390455795200 2406638764800 2513600487680 2592150502920 2647302641280 2674043072000 2700156773875 2757606918000 2764960536448 2827800548640 2941447379200 2945625571500 2988069744000 3008298456000 3016320585216 3110580603504 3142000609600 3240188128650 3259712448000 3309128301600 3456200670560 3529736855040 3534750685800 3585683692800 3676809224000 3770400731520 3888225754380 3927500762000 3984092992000 4011064608000 4136410377000 4147440804672 4320250838200 4412171068800 4418438357250 4482104616000 4524480877824 4713000914400 4813277529600 4860282192975 5027200975360 5184301005840 5294605282560 5400313547750 5515213836000 5529921072896 5655601097280 5882894758400 5891251143000 5976139488000 6016596912000 6221161207008 6284001219200 6480376257300 6618256603200 6912401341120 7069501371600 7171367385600 7353618448000 7540801463040 7776451508760 7855001524000 8022129216000 8100470321625 8272820754000 8294881609344 8640501676400 8824342137600 8836876714500 8964209232000 9048961755648 9426001828800 9720564385950 10368602011680 10589210565120 10800627095500 11030427672000 11059842145792 11311202194560 11782502286000 11952278976000 12033193824000 12442322414016 12568002438400 12960752514600 13236513206400 13824802682240 14139002743200 14707236896000 15081602926080 15552903017520 15710003048000 16200940643250 16545641508000 16589763218688 17281003352800 17648684275200 17673753429000 17928418464000 18852003657600 19441128771900 20737204023360 21601254191000 22060855344000 22622404389120 23565004572000 24066387648000 24301410964875 24884644828032 25136004876800 25921505029200 26473026412800 27649605364480 28278005486400 29414473792000 31105806035040 31420006096000 32401881286500 33091283016000 33179526437376 34562006705600 35347506858000 35856836928000 37704007315200 38882257543800 41474408046720 43202508382000 44121710688000 45244808778240 47130009144000 48602821929750 49769289656064 51843010058400 52946052825600 55299210728960 56556010972800 62211612070080 62840012192000 64803762573000 66182566032000 69124013411200 70695013716000 75408014630400 77764515087600 82948816093440 86405016764000 88243421376000 94260018288000 97205643859500 99538579312128 103686020116800 113112021945600 124423224140160 125680024384000 129607525146000 132365132064000 138248026822400 141390027432000 155529030175200 165897632186880 172810033528000 188520036576000 194411287719000 207372040233600 226224043891200 248846448280320 259215050292000 264730264128000 276496053644800 282780054864000 311058060350400 345620067056000 377040073152000 388822575438000 414744080467200 497692896560640 518430100584000 565560109728000 622116120700800 691240134112000 777645150876000 829488160934400 1036860201168000 1131120219456000 1244232241401600 1382480268224000 1555290301752000 2073720402336000 2488464482803200 3110580603504000 4147440804672000 6221161207008000 12442322414016000
- Sum of all divisors σ(n): 50073490740049920
- Sum of proper divisors (its aliquot sum) s(n): 37631168326033920
- 12442322414016000 is an abundant number, because the sum of its proper divisors (37631168326033920) is greater than itself. Its abundance is 25188845912017920
Bases of 12442322414016000
- Binary: 1011000011010000111001111011111010101100010110000000002
- Hexadecimal: 0x2C3439EFAB1600
- Base-36: 3EIFO0A2680
Squares and roots of 12442322414016000
- 12442322414016000 squared (124423224140160002) is 154811387054324941713248256000000
- 12442322414016000 cubed (124423224140160003) is 1926213191090933640110861535442621956096000000000
-
The
square root of 12442322414016000 is 111545158.6310046897 -
The
cube root of 12442322414016000 is 231721.9370633535
Scales and comparisons
How big is 12442322414016000?- 12,442,322,414,016,000 seconds is equal to 395,627,366 years, 7 weeks, 8 hours.
-
To count from 1 to 12,442,322,414,016,000 would take you about one billion, one hundred eighty-six million, eight hundred eighty-two thousand and ninety-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 12442322414016000 cubic inches would be around 19310.2 feet tall.
Recreational maths with 12442322414016000
- 12442322414016000 backwards is 00061041422324421
- 12442322414016000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12442322414016000's digits is 36
- More coming soon!
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"Number 12442322414016000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 12442322414016000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/12442322414016000/
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Numbermatics. 2024. "Number 12442322414016000 - Facts about the integer". https://numbermatics.com/n/12442322414016000/
The information we have on file for 12442322414016000 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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