330080149920000
330,080,149,920,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 330080149920000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
330080149920000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 330080149920000:
28 × 3 × 54 × 137 × 257 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 137 × 257 × 19531)See below for interesting mathematical facts about the number 330080149920000 from the Numbermatics database.
Names of 330080149920000
- Cardinal: 330080149920000 can be written as Three hundred thirty trillion, eighty billion, one hundred forty-nine million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 3.3008014992 × 1014
Factors of 330080149920000
Divisors of 330080149920000
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 137 150 160 192 200 240 250 256 257 274 300 320 375 384 400 411 480 500 514 548 600 625 640 685 750 768 771 800 822 960 1000 1028 1096 1200 1250 1280 1285 1370 1500 1542 1600 1644 1875 1920 2000 2055 2056 2192 2400 2500 2570 2740 3000 3084 3200 3288 3425 3750 3840 3855 4000 4110 4112 4384 4800 5000 5140 5480 6000 6168 6400 6425 6576 6850 7500 7710 8000 8220 8224 8768 9600 10000 10275 10280 10960 12000 12336 12850 13152 13700 15000 15420 16000 16440 16448 17125 17536 19200 19275 19531 20000 20550 20560 21920 24000 24672 25700 26304 27400 30000 30840 32000 32125 32880 32896 34250 35072 35209 38550 39062 40000 41100 41120 43840 48000 49344 51375 51400 52608 54800 58593 60000 61680 64250 65760 65792 68500 70418 77100 78124 80000 82200 82240 85625 87680 96000 96375 97655 98688 102750 102800 105216 105627 109600 117186 120000 123360 128500 131520 137000 140836 154200 156248 160000 160625 164400 164480 171250 175360 176045 192750 195310 197376 205500 205600 211254 219200 234372 240000 246720 256875 257000 263040 274000 281672 292965 308400 312496 321250 328800 328960 342500 352090 385500 390620 411000 411200 422508 438400 468744 480000 481875 488275 493440 513750 514000 526080 528135 548000 563344 585930 616800 624992 642500 657600 685000 704180 771000 781240 822000 822400 845016 876800 880225 937488 963750 976550 986880 1027500 1028000 1056270 1096000 1126688 1171860 1233600 1249984 1285000 1315200 1370000 1408360 1464825 1542000 1562480 1644000 1644800 1690032 1760450 1874976 1927500 1953100 2055000 2056000 2112540 2192000 2253376 2343720 2441375 2467200 2499968 2570000 2630400 2640675 2675747 2740000 2816720 2929650 3084000 3124960 3288000 3380064 3520900 3749952 3855000 3906200 4110000 4112000 4225080 4384000 4401125 4506752 4687440 4882750 4934400 4999936 5019467 5140000 5281350 5351494 5480000 5633440 5859300 6168000 6249920 6576000 6760128 7041800 7324125 7499904 7710000 7812400 8027241 8220000 8224000 8450160 8802250 9013504 9374880 9765500 10038934 10280000 10562700 10702988 10960000 11266880 11718600 12206875 12336000 12499840 13152000 13203375 13378735 13520256 14083600 14648250 14999808 15058401 15420000 15624800 16054482 16440000 16900320 17604500 18749760 19531000 20077868 20560000 21125400 21405976 21920000 22005625 22533760 23437200 24413750 24672000 24999680 25097335 26406750 26757470 27040512 28167200 29296500 30116802 30840000 31249600 32108964 32880000 33800640 35209000 36620625 37499520 39062000 40136205 40155736 41120000 42250800 42811952 44011250 45067520 46874400 48827500 50194670 52813500 53514940 56334400 58593000 60233604 61680000 62499200 64217928 65760000 66016875 66893675 67601280 70418000 73241250 74999040 75292005 78124000 80272410 80311472 84501600 85623904 88022500 93748800 97655000 100389340 105627000 107029880 112668800 117186000 120467208 123360000 124998400 125486675 128435856 132033750 133787350 135202560 140836000 146482500 150584010 156248000 160544820 160622944 169003200 171247808 176045000 187497600 195310000 200681025 200778680 211254000 214059760 225337600 234372000 240934416 250973350 256871712 264067500 267574700 281672000 292965000 301168020 312496000 321089640 321245888 334468375 338006400 342495616 352090000 374995200 376460025 390620000 401362050 401557360 422508000 428119520 468744000 481868832 501946700 513743424 528135000 535149400 563344000 585930000 602336040 624992000 627433375 642179280 642491776 668936750 676012800 684991232 687666979 704180000 752920050 781240000 802724100 803114720 845016000 856239040 937488000 963737664 1003405125 1003893400 1027486848 1056270000 1070298800 1126688000 1171860000 1204672080 1254866750 1284358560 1284983552 1337873500 1375333958 1408360000 1505840100 1562480000 1605448200 1606229440 1672341875 1690032000 1712478080 1874976000 1882300125 1927475328 2006810250 2007786800 2054973696 2063000937 2112540000 2140597600 2343720000 2409344160 2509733500 2568717120 2675747000 2750667916 2816720000 3011680200 3124960000 3137166875 3210896400 3212458880 3344683750 3380064000 3424956160 3438334895 3764600250 3854950656 4013620500 4015573600 4126001874 4225080000 4281195200 4687440000 4818688320 5017025625 5019467000 5137434240 5351494000 5501335832 5633440000 6023360400 6274333750 6421792800 6424917760 6689367500 6876669790 7529200500 8027241000 8031147200 8252003748 8450160000 8562390400 9374880000 9411500625 9637376640 10034051250 10038934000 10274868480 10315004685 10702988000 11002671664 12046720800 12548667500 12843585600 13378735000 13753339580 15058401000 16054482000 16062294400 16504007496 16900320000 17124780800 17191674475 18823001250 19274753280 20068102500 20077868000 20630009370 21405976000 22005343328 24093441600 25097335000 25687171200 26757470000 27506679160 30116802000 32108964000 32124588800 33008014992 34383348950 37646002500 40136205000 40155736000 41260018740 42811952000 44010686656 48186883200 50194670000 51374342400 51575023425 53514940000 55013358320 60233604000 64217928000 66016029984 68766697900 75292005000 80272410000 80311472000 82520037480 85623904000 85958372375 88021373312 96373766400 100389340000 103150046850 107029880000 110026716640 120467208000 128435856000 132032059968 137533395800 150584010000 160544820000 160622944000 165040074960 171916744750 176042746624 200778680000 206300093700 214059760000 220053433280 240934416000 256871712000 257875117125 264064119936 275066791600 301168020000 321089640000 330080149920 343833489500 401557360000 412600187400 428119520000 429791861875 440106866560 481868832000 515750234250 528128239872 550133583200 602336040000 642179280000 660160299840 687666979000 803114720000 825200374800 859583723750 880213733120 1031500468500 1100267166400 1204672080000 1284358560000 1289375585625 1320320599680 1375333958000 1650400749600 1719167447500 2063000937000 2200534332800 2409344160000 2578751171250 2640641199360 2750667916000 3300801499200 3438334895000 4126001874000 4401068665600 5157502342500 5501335832000 6601602998400 6876669790000 8252003748000 10315004685000 11002671664000 13203205996800 13753339580000 16504007496000 20630009370000 22005343328000 27506679160000 33008014992000 41260018740000 55013358320000 66016029984000 82520037480000 110026716640000 165040074960000 330080149920000
- Sum of all divisors σ(n): 1110139187395392
- Sum of proper divisors (its aliquot sum) s(n): 780059037475392
- 330080149920000 is an abundant number, because the sum of its proper divisors (780059037475392) is greater than itself. Its abundance is 449978887555392
Bases of 330080149920000
- Binary: 10010110000110100110001100001010101011001000000002
- Hexadecimal: 0x12C34C6155900
- Base-36: 3904Q6UFPC
Squares and roots of 330080149920000
- 330080149920000 squared (3300801499200002) is 108952905371209676006400000000
- 330080149920000 cubed (3300801499200003) is 35963191339148463107947138879488000000000000
-
The
square root of 330080149920000 is 18168108.0445928657 -
The
cube root of 330080149920000 is 69109.8264923753
Scales and comparisons
How big is 330080149920000?- 330,080,149,920,000 seconds is equal to 10,495,527 years, 39 weeks, 4 days, 13 hours, 20 minutes.
-
To count from 1 to 330,080,149,920,000 would take you about twenty-six million, two hundred thirty-eight thousand, eight hundred nineteen 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 330080149920000 cubic inches would be around 5759.2 feet tall.
Recreational maths with 330080149920000
- 330080149920000 backwards is 000029941080033
- The number of decimal digits it has is: 15
- The sum of 330080149920000's digits is 39
- More coming soon!
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