328283321472000
328,283,321,472,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 328283321472000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1980 divisors.
328283321472000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 328283321472000:
210 × 34 × 53 × 172 × 3312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 331 × 331)See below for interesting mathematical facts about the number 328283321472000 from the Numbermatics database.
Names of 328283321472000
- Cardinal: 328283321472000 can be written as Three hundred twenty-eight trillion, two hundred eighty-three billion, three hundred twenty-one million, four hundred seventy-two thousand.
Scientific notation
- Scientific notation: 3.28283321472 × 1014
Factors of 328283321472000
Divisors of 328283321472000
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 108 120 125 128 135 136 144 150 153 160 162 170 180 192 200 204 216 225 240 250 255 256 270 272 288 289 300 306 320 324 331 340 360 375 384 400 405 408 425 432 450 459 480 500 510 512 540 544 576 578 600 612 640 648 662 675 680 720 750 765 768 800 810 816 850 864 867 900 918 960 993 1000 1020 1024 1080 1088 1125 1152 1156 1200 1224 1275 1280 1296 1324 1350 1360 1377 1440 1445 1500 1530 1536 1600 1620 1632 1655 1700 1728 1734 1800 1836 1920 1986 2000 2025 2040 2125 2160 2176 2250 2295 2304 2312 2400 2448 2550 2560 2592 2601 2648 2700 2720 2754 2880 2890 2979 3000 3060 3072 3200 3240 3264 3310 3375 3400 3456 3468 3600 3672 3825 3840 3972 4000 4050 4080 4250 4320 4335 4352 4500 4590 4608 4624 4800 4896 4965 5100 5120 5184 5202 5296 5400 5440 5508 5627 5760 5780 5958 6000 6120 6375 6400 6480 6528 6620 6750 6800 6885 6912 6936 7200 7225 7344 7650 7680 7803 7944 8000 8100 8160 8275 8500 8640 8670 8704 8937 9000 9180 9216 9248 9600 9792 9930 10125 10200 10368 10404 10592 10800 10880 11016 11254 11475 11520 11560 11916 12000 12240 12750 12800 12960 13005 13056 13240 13500 13600 13770 13824 13872 14400 14450 14688 14895 15300 15360 15606 15888 16000 16200 16320 16550 16881 17000 17280 17340 17408 17874 18000 18360 18496 19125 19200 19584 19860 20250 20400 20736 20808 21184 21600 21675 21760 22032 22508 22950 23040 23120 23409 23832 24000 24480 24825 25500 25600 25920 26010 26112 26480 26811 27000 27200 27540 27648 27744 28135 28800 28900 29376 29790 30600 31212 31776 32000 32400 32640 33100 33762 34000 34425 34560 34680 35748 36000 36125 36720 36992 38250 38400 39015 39168 39720 40500 40800 41375 41472 41616 42368 43200 43350 43520 44064 44685 45016 45900 46080 46240 46818 47664 48000 48960 49650 50643 51000 51840 52020 52224 52960 53622 54000 54400 55080 55488 56270 57375 57600 57800 58752 59580 61200 62424 63552 64000 64800 65025 65280 66200 67524 68000 68850 69120 69360 71496 72000 72250 73440 73984 74475 76500 76800 78030 78336 79440 81000 81600 82750 82944 83232 84405 84736 86400 86700 87040 88128 89370 90032 91800 92480 93636 95328 95659 96000 97920 99300 101286 102000 103680 104040 105920 107244 108000 108375 108800 109561 110160 110976 112540 114750 115200 115600 117045 117504 119160 122400 124125 124848 127104 128000 129600 130050 130560 132400 134055 135048 136000 137700 138240 138720 140675 142992 144000 144500 146880 147968 148950 151929 153000 156060 156672 158880 162000 163200 165500 166464 168810 169472 172125 172800 173400 176256 178740 180064 183600 184960 187272 190656 191318 192000 195075 195840 198600 202572 204000 207360 208080 211840 214488 216000 216750 217600 219122 220320 221952 223425 225080 229500 230400 231200 234090 235008 238320 244800 248250 249696 253215 254208 259200 260100 261120 264800 268110 270096 272000 275400 277440 281350 285984 286977 288000 289000 293760 295936 297900 303858 306000 312120 317760 324000 325125 326400 328683 331000 332928 337620 338944 344250 345600 346800 352512 357480 360128 367200 369920 372375 374544 381312 382636 384000 390150 391680 397200 405144 408000 414720 416160 422025 423680 428976 432000 433500 435200 438244 440640 443904 446850 450160 455787 459000 462400 468180 470016 476640 478295 489600 496500 499392 506430 508416 518400 520200 529600 536220 540192 544000 547805 550800 554880 562700 571968 573954 576000 578000 585225 587520 595800 607716 612000 624240 635520 648000 650250 652800 657366 662000 665856 670275 675240 688500 691200 693600 703375 705024 714960 720256 734400 739840 744750 749088 759645 762624 765272 780300 783360 794400 810288 816000 832320 844050 847360 857952 860931 864000 867000 876488 881280 887808 893700 900320 911574 918000 924800 936360 953280 956590 975375 979200 986049 993000 998784 1012860 1016832 1036800 1040400 1059200 1072440 1080384 1088000 1095610 1101600 1109760 1117125 1125400 1143936 1147908 1152000 1156000 1170450 1175040 1191600 1215432 1224000 1248480 1266075 1271040 1296000 1300500 1305600 1314732 1324000 1331712 1340550 1350480 1377000 1387200 1406750 1410048 1429920 1434885 1440512 1468800 1479680 1489500 1498176 1519290 1525248 1530544 1560600 1588800 1620576 1632000 1643415 1664640 1688100 1694720 1715904 1721862 1728000 1734000 1752976 1762560 1787400 1800640 1823148 1836000 1849600 1862537 1872720 1906560 1913180 1950750 1958400 1972098 1986000 1997568 2025720 2073600 2080800 2110125 2118400 2144880 2160768 2176000 2191220 2203200 2219520 2234250 2250800 2278935 2287872 2295816 2312000 2340900 2350080 2383200 2391475 2430864 2448000 2496960 2532150 2542080 2582793 2592000 2601000 2629464 2648000 2663424 2681100 2700960 2739025 2754000 2774400 2813500 2859840 2869770 2881024 2926125 2937600 2958147 2979000 2996352 3038580 3050496 3061088 3121200 3177600 3241152 3264000 3286830 3329280 3351375 3376200 3431808 3443724 3456000 3468000 3505952 3525120 3574800 3601280 3646296 3672000 3699200 3725074 3745440 3798225 3813120 3826360 3901500 3916800 3944196 3972000 3995136 4051440 4161600 4220250 4236800 4289760 4304655 4321536 4382440 4406400 4439040 4468500 4501600 4557870 4575744 4591632 4624000 4681800 4766400 4782950 4861728 4896000 4930245 4993920 5064300 5084160 5165586 5184000 5202000 5258928 5296000 5362200 5401920 5478050 5508000 5548800 5587611 5627000 5719680 5739540 5762048 5852250 5875200 5916294 5958000 5992704 6077160 6122176 6242400 6330375 6355200 6482304 6528000 6573660 6658560 6702750 6752400 6863616 6887448 6936000 7011904 7050240 7149600 7174425 7202560 7292592 7344000 7398400 7450148 7490880 7596450 7626240 7652720 7748379 7803000 7888392 7944000 7990272 8102880 8217075 8323200 8440500 8473600 8579520 8609310 8643072 8764880 8812800 8874441 8937000 9003200 9115740 9151488 9183264 9248000 9312685 9363600 9532800 9565900 9723456 9792000 9860490 9987840 10128600 10331172 10368000 10404000 10517856 10592000 10724400 10803840 10956100 11016000 11097600 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29800592 29963520 30385800 30610880 30993516 31212000 31553568 31663129 31776000 32411520 32868300 33292800 33525666 33762000 34318080 34437240 35059520 35251200 35497764 35748000 35872125 36012800 36462960 36733056 36992000 37250740 37454400 37982250 38131200 38263600 38741895 38893824 39441960 39951360 40514400 41085375 41324688 41616000 42071424 42368000 42897600 43046550 43215360 43824400 44064000 44372205 44700888 45016000 45578700 45757440 45916320 46563425 46818000 47330352 47664000 47829500 48617280 48977408 49302450 49939200 50288499 50643000 51655860 51858432 52589280 53622000 54019200 54780500 55099584 55488000 55876110 56095232 56973375 57196800 57395400 58340736 58752000 59162940 59601184 59927040 60771600 61221760 61987032 62424000 63107136 63326258 63552000 64569825 64823040 65736600 66585600 67051332 67524000 68636160 68874480 70119040 70995528 71496000 71744250 72025600 72925920 73466112 73953675 74501480 74908800 75964500 76262400 76527200 77483790 77787648 78883920 81028800 82170750 82649376 83232000 83814165 84142848 85795200 86093100 86430720 87648800 88128000 88744410 89401776 90032000 91157400 91832640 93126850 93636000 94660704 94989387 95328000 95659000 97234560 97954816 98604900 99878400 100576998 101286000 103311720 105178560 107244000 107616375 108038400 109561000 110199168 110976000 111752220 112190464 113946750 114393600 114790800 116681472 118325880 119202368 119854080 121543200 122443520 123256125 123974064 124848000 126214272 126652516 127104000 129139650 129646080 131473200 134102664 135048000 137272320 137748960 139690275 140238080 141991056 142992000 143488500 144051200 145851840 146932224 147907350 149002960 149817600 150865497 151929000 153054400 154967580 155575296 157767840 158315645 162057600 164341500 165298752 166464000 167628330 168285696 171590400 172186200 175297600 176256000 177488820 178803552 180064000 182314800 183665280 186253700 187272000 189321408 189978774 190656000 191318000 193709475 194469120 197209800 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9466070400 9498938700 9536189440 9655391808 9723456000 9917925120 10057699800 10132201280 10258853796 10331172000 10517856000 10728213120 11019916800 11175222000 11359284480 11398726440 11668147200 11832588000 11873673375 11920236800 12069239760 12158641536 12244352000 12397406400 12572124750 12621427200 12665251600 12823567245 12873855744 13223900160 13410266400 13678471728 13774896000 14023808000 14199105600 14248408050 14304284160 14585184000 14900296000 15086549700 15145712640 15198301920 15496758000 15776784000 15831564500 16092319680 16211522048 16529875200 16762833000 17098089660 17165140992 17748882000 17880355200 18237962304 18366528000 18858187125 18932140800 18997877400 19310783616 19446912000 19835850240 20115399600 20264402560 20517707592 20662344000 21035712000 21372612075 21456426240 22039833600 22350444000 22718568960 22797452880 23665176000 23747346750 23840473600 24138479520 24317283072 24794812800 25144249500 25242854400 25330503200 25647134490 25747711488 26820532800 27356943456 27549792000 28398211200 28496816100 28608568320 29170368000 29800592000 30173099400 30396603840 30993516000 31553568000 31663129000 32184639360 32423044096 33059750400 33525666000 34196179320 35497764000 35621020125 35760710400 36475924608 36733056000 37716374250 37864281600 37995754800 38621567232 39671700480 40230799200 40528805120 41035415184 41324688000 42071424000 42745224150 42912852480 44700888000 45437137920 45594905760 47330352000 47494693500 47680947200 48276959040 48634566144 49589625600 50288499000 50661006400 51294268980 51495422976 53641065600 54713886912 55099584000 56796422400 56993632200 58340736000 59601184000 60346198800 60793207680 61987032000 63107136000 63326258000 64117836225 64369278720 66119500800 67051332000 68392358640 70995528000 71242040250 71521420800 72951849216 75432748500 75728563200 75991509600 77243134464 80461598400 81057610240 82070830368 82649376000 85490448300 85825704960 89401776000 91189811520 94660704000 94989387000 96553918080 97269132288 99179251200 100576998000 101322012800 102588537960 106863060375 107282131200 109427773824 110199168000 113592844800 113987264400 119202368000 120692397600 121586415360 123974064000 126214272000 126652516000 128235672450 128738557440 134102664000 136784717280 141991056000 142484080500 143042841600 145903698432 150865497000 151983019200 154486268928 160923196800 162115220480 164141660736 165298752000 170980896600 178803552000 182379623040 189321408000 189978774000 193107836160 198358502400 201153996000 202644025600 205177075920 213726120750 214564262400 218855547648 227185689600 227974528800 238404736000 241384795200 243172830720 247948128000 253305032000 256471344900 257477114880 268205328000 273569434560 283982112000 284968161000 291807396864 301730994000 303966038400 320589181125 321846393600 328283321472 330597504000 341961793200 357607104000 364759246080 378642816000 379957548000 386215672320 402307992000 405288051200 410354151840 427452241500 429128524800 437711095296 455949057600 482769590400 486345661440 495896256000 506610064000 512942689800 536410656000 547138869120 567964224000 569936322000 603461988000 607932076800 641178362250 643692787200 656566642944 683923586400 715214208000 729518492160 759915096000 772431344640 804615984000 810576102400 820708303680 854904483000 875422190592 911898115200 965539180800 991792512000 1013220128000 1025885379600 1072821312000 1094277738240 1135928448000 1139872644000 1206923976000 1215864153600 1282356724500 1287385574400 1313133285888 1367847172800 1459036984320 1519830192000 1609231968000 1641416607360 1709808966000 1823796230400 1931078361600 2026440256000 2051770759200 2145642624000 2188555476480 2279745288000 2413847952000 2431728307200 2564713449000 2626266571776 2735694345600 3039660384000 3218463936000 3282833214720 3419617932000 3647592460800 3862156723200 4052880512000 4103541518400 4377110952960 4559490576000 4827695904000 5129426898000 5471388691200 6079320768000 6436927872000 6565666429440 6839235864000 7295184921600 8207083036800 9118981152000 9655391808000 10258853796000 10942777382400 12158641536000 13131332858880 13678471728000 16414166073600 18237962304000 19310783616000 20517707592000 21885554764800 27356943456000 32828332147200 36475924608000 41035415184000 54713886912000 65656664294400 82070830368000 109427773824000 164141660736000 328283321472000
- Sum of all divisors σ(n): 1303575580278972
- Sum of proper divisors (its aliquot sum) s(n): 975292258806972
- 328283321472000 is an abundant number, because the sum of its proper divisors (975292258806972) is greater than itself. Its abundance is 647008937334972
Bases of 328283321472000
- Binary: 10010101010010010011010101100001100010100000000002
- Hexadecimal: 0x12A926AC31400
- Base-36: 38D79XKW00
Squares and roots of 328283321472000
- 328283321472000 squared (3282833214720002) is 107769939156688496246784000000
- 328283321472000 cubed (3282833214720003) is 35379073581193050192347257318146048000000000
-
The
square root of 328283321472000 is 18118590.4935234959 -
The
cube root of 328283321472000 is 68984.1958813641
Scales and comparisons
How big is 328283321472000?- 328,283,321,472,000 seconds is equal to 10,438,394 years, 9 weeks, 1 day.
-
To count from 1 to 328,283,321,472,000 would take you about twenty-six million, ninety-five thousand, nine hundred eighty-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 328283321472000 cubic inches would be around 5748.7 feet tall.
Recreational maths with 328283321472000
- 328283321472000 backwards is 000274123382823
- 328283321472000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 328283321472000's digits is 45
- More coming soon!
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"Number 328283321472000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 328283321472000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/328283321472000/
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The information we have on file for 328283321472000 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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