14628006332016000
14,628,006,332,016,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 14628006332016000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
14628006332016000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 14628006332016000:
27 × 3 × 53 × 7 × 11 × 532 × 11872
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 53 × 53 × 1187 × 1187)See below for interesting mathematical facts about the number 14628006332016000 from the Numbermatics database.
Names of 14628006332016000
- Cardinal: 14628006332016000 can be written as Fourteen quadrillion, six hundred twenty-eight trillion, six billion, three hundred thirty-two million, sixteen thousand.
Scientific notation
- Scientific notation: 1.4628006332016 × 1016
Factors of 14628006332016000
Divisors of 14628006332016000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 50 53 55 56 60 64 66 70 75 77 80 84 88 96 100 105 106 110 112 120 125 128 132 140 150 154 159 160 165 168 175 176 192 200 210 212 220 224 231 240 250 264 265 275 280 300 308 318 320 330 336 350 352 371 375 384 385 400 420 424 440 448 462 480 500 525 528 530 550 560 583 600 616 636 640 660 672 700 704 742 750 770 795 800 825 840 848 875 880 896 924 960 1000 1050 1056 1060 1100 1113 1120 1155 1166 1187 1200 1232 1272 1320 1325 1344 1375 1400 1408 1484 1500 1540 1590 1600 1650 1680 1696 1749 1750 1760 1848 1855 1920 1925 2000 2100 2112 2120 2200 2226 2240 2310 2332 2374 2400 2464 2544 2625 2640 2650 2688 2750 2800 2809 2915 2968 3000 3080 3180 3200 3300 3360 3392 3498 3500 3520 3561 3696 3710 3850 3975 4000 4081 4125 4200 4224 4240 4400 4452 4480 4620 4664 4748 4800 4928 5088 5250 5280 5300 5500 5565 5600 5618 5775 5830 5935 5936 6000 6160 6360 6600 6625 6720 6784 6996 7000 7040 7122 7392 7420 7700 7950 8000 8162 8250 8309 8400 8427 8480 8745 8800 8904 9240 9275 9328 9496 9600 9625 9856 10176 10500 10560 10600 11000 11130 11200 11236 11550 11660 11870 11872 12000 12243 12320 12720 13057 13200 13250 13440 13992 14000 14045 14244 14575 14784 14840 15400 15900 16000 16324 16500 16618 16800 16854 16960 17490 17600 17805 17808 18480 18550 18656 18992 19250 19663 19875 20352 20405 21000 21120 21200 22000 22260 22400 22472 23100 23320 23740 23744 24000 24486 24640 24927 25440 26114 26400 26500 27825 27984 28000 28090 28488 28875 29150 29568 29675 29680 30800 30899 31800 32648 33000 33236 33600 33708 33920 34980 35200 35610 35616 36960 37100 37312 37984 38500 39171 39326 39750 40810 41545 42000 42135 42400 43725 44000 44520 44944 46200 46375 46640 47480 47488 48000 48972 49280 49854 50880 52228 52800 53000 55650 55968 56000 56180 56976 57750 58300 58989 59350 59360 61215 61600 61798 62911 63600 65285 65296 66000 66472 67200 67416 69960 70225 71220 71232 72875 73920 74200 74624 75968 77000 78342 78652 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10448575951440 10638550059648 10883933282750 11040004778880 11081822978800 11500004978000 11873381763000 12190005276680 12323509968000 12545459976000 12664940547200 13060719939300 13142862832000 13298187574560 13800005973600 13852278723500 13931434601920 14628006332016 15237506595850 15831175684000 16325899924125 16622734468200 16717721522304 17250007467000 17414293252400 17730916766080 18285007915020 18400007964800 18997410820800 19504008442688 19714294248000 20778418085250 20897151902880 21767866565500 22163645957600 22856259893775 23000009956000 23746763526000 24380010553360 25090919952000 26121439878600 26596375149120 27600011947200 27704557447000 27862869203840 29256012664032 30475013191700 31662351368000 32651799848250 33245468936400 34500014934000 34828586504800 36570015830040 37994821641600 38093766489625 39008016885376 39428588496000 41556836170500 41794303805760 43535733131000 44327291915200 45712519787550 46000019912000 47493527052000 48760021106720 52242879757200 53192750298240 55200023894400 55409114894000 58512025328064 60950026383400 63324702736000 65303599696500 66490937872800 69000029868000 69657173009600 73140031660080 76187532979250 83113672341000 83588607611520 87071466262000 88654583830400 91425039575100 92000039824000 94987054104000 97520042213440 104485759514400 110818229788000 114281299468875 117024050656128 121900052766800 130607199393000 132981875745600 138000059736000 139314346019200 146280063320160 152375065958500 166227344682000 174142932524000 182850079150200 189974108208000 195040084426880 208971519028800 221636459576000 228562598937750 243800105533600 261214398786000 265963751491200 276000119472000 292560126640320 304750131917000 332454689364000 348285865048000 365700158300400 417943038057600 443272919152000 457125197875500 487600211067200 522428797572000 585120253280640 609500263834000 664909378728000 696571730096000 731400316600800 914250395751000 975200422134400 1044857595144000 1219000527668000 1329818757456000 1462800633201600 1828500791502000 2089715190288000 2438001055336000 2925601266403200 3657001583004000 4876002110672000 7314003166008000 14628006332016000
- Sum of all divisors σ(n): 61671543610360320
- Sum of proper divisors (its aliquot sum) s(n): 47043537278344320
- 14628006332016000 is an abundant number, because the sum of its proper divisors (47043537278344320) is greater than itself. Its abundance is 32415530946328320
Bases of 14628006332016000
- Binary: 1100111111100000011000001000010011000100100101100000002
- Hexadecimal: 0x33F81821312580
- Base-36: 40171C65FUO
Squares and roots of 14628006332016000
- 14628006332016000 squared (146280063320160002) is 213978569249500190426624256000000
- 14628006332016000 cubed (146280063320160003) is 3130079865897412930503857401199614980096000000000
-
The
square root of 14628006332016000 is 120946295.2389034527 -
The
cube root of 14628006332016000 is 244565.4177465875
Scales and comparisons
How big is 14628006332016000?- 14,628,006,332,016,000 seconds is equal to 465,125,353 years, 50 weeks, 18 hours, 40 minutes.
-
To count from 1 to 14,628,006,332,016,000 would take you about one billion, three hundred ninety-five million, three hundred seventy-six thousand and sixty-one 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 14628006332016000 cubic inches would be around 20380.5 feet tall.
Recreational maths with 14628006332016000
- 14628006332016000 backwards is 00061023360082641
- 14628006332016000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 14628006332016000's digits is 42
- More coming soon!
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The information we have on file for 14628006332016000 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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