132204628224000
132,204,628,224,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 132204628224000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
132204628224000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 132204628224000:
211 × 36 × 53 × 281 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 281 × 2521)See below for interesting mathematical facts about the number 132204628224000 from the Numbermatics database.
Names of 132204628224000
- Cardinal: 132204628224000 can be written as One hundred thirty-two trillion, two hundred four billion, six hundred twenty-eight million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.32204628224 × 1014
Factors of 132204628224000
Divisors of 132204628224000
- Number of divisors d(n): 1344
-
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 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 243 250 256 270 281 288 300 320 324 360 375 384 400 405 432 450 480 486 500 512 540 562 576 600 640 648 675 720 729 750 768 800 810 843 864 900 960 972 1000 1024 1080 1124 1125 1152 1200 1215 1280 1296 1350 1405 1440 1458 1500 1536 1600 1620 1686 1728 1800 1920 1944 2000 2025 2048 2160 2248 2250 2304 2400 2430 2521 2529 2560 2592 2700 2810 2880 2916 3000 3072 3200 3240 3372 3375 3456 3600 3645 3840 3888 4000 4050 4215 4320 4496 4500 4608 4800 4860 5042 5058 5120 5184 5400 5620 5760 5832 6000 6075 6144 6400 6480 6744 6750 6912 7025 7200 7290 7563 7587 7680 7776 8000 8100 8430 8640 8992 9000 9216 9600 9720 10084 10116 10125 10240 10368 10800 11240 11520 11664 12000 12150 12605 12645 12800 12960 13488 13500 13824 14050 14400 14580 15126 15174 15360 15552 16000 16200 16860 17280 17984 18000 18225 18432 19200 19440 20168 20232 20250 20736 21075 21600 22480 22689 22761 23040 23328 24000 24300 25210 25290 25600 25920 26976 27000 27648 28100 28800 29160 30252 30348 30375 30720 31104 32000 32400 33720 34560 35125 35968 36000 36450 37815 37935 38400 38880 40336 40464 40500 41472 42150 43200 44960 45378 45522 46080 46656 48000 48600 50420 50580 51200 51840 53952 54000 55296 56200 57600 58320 60504 60696 60750 62208 63025 63225 64000 64800 67440 68067 68283 69120 70250 71936 72000 72900 75630 75870 76800 77760 80672 80928 81000 82944 84300 86400 89920 90756 91044 91125 92160 93312 96000 97200 100840 101160 103680 105375 107904 108000 112400 113445 113805 115200 116640 121008 121392 121500 124416 126050 126450 128000 129600 134880 136134 136566 138240 140500 143872 144000 145800 151260 151740 153600 155520 161344 161856 162000 165888 168600 172800 179840 181512 182088 182250 186624 189075 189675 192000 194400 201680 202320 204201 204849 207360 210750 215808 216000 224800 226890 227610 230400 233280 242016 242784 243000 248832 252100 252900 256000 259200 269760 272268 273132 276480 281000 287744 288000 291600 302520 303480 311040 315125 316125 322688 323712 324000 337200 340335 341415 345600 359680 363024 364176 364500 373248 378150 379350 384000 388800 403360 404640 408402 409698 414720 421500 431616 432000 449600 453780 455220 460800 466560 484032 485568 486000 497664 504200 505800 518400 539520 544536 546264 562000 567225 569025 575488 576000 583200 605040 606960 612603 622080 630250 632250 645376 647424 648000 674400 680670 682830 691200 708401 719360 726048 728352 729000 746496 756300 758700 768000 777600 806720 809280 816804 819396 829440 843000 863232 864000 899200 907560 910440 933120 945375 948375 968064 971136 972000 1008400 1011600 1021005 1024245 1036800 1079040 1089072 1092528 1124000 1134450 1138050 1152000 1166400 1210080 1213920 1225206 1244160 1260500 1264500 1290752 1294848 1296000 1348800 1361340 1365660 1382400 1416802 1438720 1452096 1456704 1458000 1492992 1512600 1517400 1555200 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7464960 7563000 7587000 7744512 7769088 7776000 8067200 8092800 8168040 8193960 8500812 8508375 8535375 8632320 8712576 8740224 8992000 9075600 9104400 9189045 9331200 9680640 9711360 9801648 10084000 10116000 10210050 10242450 10368000 10626015 10790400 10890720 10925280 11334416 11344500 11380500 11616768 11653632 11664000 12100800 12139200 12252060 12441600 12751218 12907520 12948480 13068864 13110336 13488000 13613400 13656600 14168020 14387200 14520960 14567040 14702472 15126000 15174000 15315075 15489024 15538176 15552000 16134400 16185600 16336080 16387920 17001624 17016750 17070750 17425152 17480448 17710025 17984000 18151200 18208800 18378090 18662400 19126827 19361280 19422720 19603296 20168000 20232000 20420100 20484900 20736000 21252030 21580800 21781440 21850560 22668832 22689000 22761000 23233536 23307264 23328000 24201600 24278400 24504120 25502436 25525125 25606125 25815040 25896960 26137728 26220672 26976000 27226800 27313200 28336040 29041920 29134080 29404944 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453376640 459043848 459452250 470479104 478170675 484032000 485568000 490082400 510048720 516424329 522754560 524413440 531300750 544051968 544536000 546264000 566720800 573804810 580838400 582681600 588098880 612058464 612603000 627305472 637560900 645376000 647424000 653443200 655516800 680064960 688565772 697006080 699217920 708401000 725402624 726048000 728352000 735123600 765073080 784131840 796951125 816077952 816804000 819396000 850081200 860707215 871257600 874022400 906753280 918087696 918904500 940958208 956341350 968064000 971136000 980164800 1020097440 1032848658 1045509120 1048826880 1062601500 1088103936 1089072000 1092528000 1133441600 1147609620 1161676800 1165363200 1176197760 1224116928 1225206000 1254610944 1275121800 1306886400 1311033600 1360129920 1377131544 1416802000 1434512025 1450805248 1452096000 1456704000 1470247200 1530146160 1568263680 1593902250 1632155904 1633608000 1638792000 1700162400 1721414430 1742515200 1748044800 1813506560 1836175392 1837809000 1881916416 1912682700 1936128000 1942272000 1960329600 2040194880 2065697316 2091018240 2097653760 2125203000 2176207872 2178144000 2185056000 2266883200 2295219240 2352395520 2390853375 2448233856 2450412000 2550243600 2582121645 2613772800 2622067200 2720259840 2754263088 2833604000 2869024050 2904192000 2913408000 2940494400 3060292320 3136527360 3187804500 3264311808 3267216000 3277584000 3400324800 3442828860 3485030400 3496089600 3627013120 3672350784 3675618000 3763832832 3825365400 3920659200 4080389760 4131394632 4250406000 4303536075 4352415744 4356288000 4370112000 4533766400 4590438480 4704791040 4781706750 4896467712 4900824000 5100487200 5164243290 5227545600 5244134400 5440519680 5508526176 5667208000 5738048100 5808384000 5826816000 5880988800 6120584640 6273054720 6375609000 6528623616 6534432000 6555168000 6800649600 6885657720 7172560125 7254026240 7344701568 7351236000 7650730800 7841318400 8160779520 8262789264 8500812000 8607072150 8712576000 8740224000 9067532800 9180876960 9409582080 9563413500 9792935424 9801648000 10200974400 10328486580 10455091200 10488268800 10881039360 11017052352 11334416000 11476096200 11761977600 12241169280 12751218000 12910608225 13057247232 13068864000 13110336000 13601299200 13771315440 14345120250 14689403136 14702472000 15301461600 15682636800 16321559040 16525578528 17001624000 17214144300 17425152000 17480448000 18135065600 18361753920 18819164160 19126827000 19585870848 19603296000 20401948800 20656973160 21517680375 21762078720 22034104704 22668832000 22952192400 23523955200 24482338560 25502436000 25821216450 26137728000 26220672000 27202598400 27542630880 28690240500 29378806272 29404944000 30602923200 31365273600 32643118080 33051157056 34003248000 34428288600 36270131200 36723507840 38253654000 39171741696 39206592000 40803897600 41313946320 43035360750 44068209408 45337664000 45904384800 47047910400 48964677120 51004872000 51642432900 52275456000 52441344000 54405196800 55085261760 57380481000 58757612544 58809888000 61205846400 64553041125 65286236160 66102314112 68006496000 68856577200 73447015680 76507308000 78413184000 81607795200 82627892640 86070721500 88136418816 90675328000 91808769600 94095820800 97929354240 102009744000 103284865800 108810393600 110170523520 114760962000 117515225088 117619776000 122411692800 129106082250 132204628224 136012992000 137713154400 146894031360 153014616000 156826368000 163215590400 165255785280 172141443000 176272837632 181350656000 183617539200 195858708480 204019488000 206569731600 220341047040 229521924000 235239552000 244823385600 258212164500 264409256448 272025984000 275426308800 293788062720 306029232000 326431180800 330511570560 344282886000 352545675264 367235078400 408038976000 413139463200 440682094080 459043848000 470479104000 489646771200 516424329000 528818512896 544051968000 550852617600 587576125440 612058464000 661023141120 688565772000 734470156800 816077952000 826278926400 881364188160 918087696000 979293542400 1032848658000 1057637025792 1101705235200 1224116928000 1322046282240 1377131544000 1468940313600 1632155904000 1652557852800 1762728376320 1836175392000 2065697316000 2203410470400 2448233856000 2644092564480 2754263088000 2937880627200 3305115705600 3672350784000 4131394632000 4406820940800 4896467712000 5288185128960 5508526176000 6610231411200 7344701568000 8262789264000 8813641881600 11017052352000 13220462822400 14689403136000 16525578528000 22034104704000 26440925644800 33051157056000 44068209408000 66102314112000 132204628224000
- Sum of all divisors σ(n): 496584153833040
- Sum of proper divisors (its aliquot sum) s(n): 364379525609040
- 132204628224000 is an abundant number, because the sum of its proper divisors (364379525609040) is greater than itself. Its abundance is 232174897385040
Bases of 132204628224000
- Binary: 111100000111101010010011110011100101000000000002
- Hexadecimal: 0x783D49E72800
- Base-36: 1AV1YU8000
Squares and roots of 132204628224000
- 132204628224000 squared (1322046282240002) is 17478063723846057394176000000
- 132204628224000 cubed (1322046282240003) is 2310680916686449021205204302823424000000000
-
The
square root of 132204628224000 is 11498027.1448627221 -
The
cube root of 132204628224000 is 50942.7305657123
Scales and comparisons
How big is 132204628224000?- 132,204,628,224,000 seconds is equal to 4,203,698 years, 12 weeks, 4 days.
-
To count from 1 to 132,204,628,224,000 would take you about ten million, five hundred nine thousand, two hundred forty-five 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 132204628224000 cubic inches would be around 4245.2 feet tall.
Recreational maths with 132204628224000
- 132204628224000 backwards is 000422826402231
- 132204628224000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 132204628224000's digits is 36
- More coming soon!
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The information we have on file for 132204628224000 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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