5338128628224000
5,338,128,628,224,000 is an even composite number composed of five prime numbers multiplied together.
5338128628224000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 5338128628224000:
212 × 33 × 53 × 72 × 1993
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 199 × 199 × 199)See below for interesting mathematical facts about the number 5338128628224000 from the Numbermatics database.
Names of 5338128628224000
- Cardinal: 5338128628224000 can be written as Five quadrillion, three hundred thirty-eight trillion, one hundred twenty-eight billion, six hundred twenty-eight million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 5.338128628224 × 1015
Factors of 5338128628224000
Divisors of 5338128628224000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 168 175 180 189 192 196 199 200 210 216 224 225 240 245 250 252 256 270 280 288 294 300 315 320 336 350 360 375 378 384 392 398 400 420 432 441 448 450 480 490 500 504 512 525 540 560 576 588 597 600 630 640 672 675 700 720 735 750 756 768 784 796 800 840 864 875 882 896 900 945 960 980 995 1000 1008 1024 1050 1080 1120 1125 1152 1176 1194 1200 1225 1260 1280 1323 1344 1350 1393 1400 1440 1470 1500 1512 1536 1568 1575 1592 1600 1680 1728 1750 1764 1791 1792 1800 1890 1920 1960 1990 2000 2016 2048 2100 2160 2205 2240 2250 2304 2352 2388 2400 2450 2520 2560 2625 2646 2688 2700 2786 2800 2880 2940 2985 3000 3024 3072 3136 3150 3184 3200 3360 3375 3456 3500 3528 3582 3584 3600 3675 3780 3840 3920 3980 4000 4032 4096 4179 4200 4320 4410 4480 4500 4608 4704 4725 4776 4800 4900 4975 5040 5120 5250 5292 5373 5376 5400 5572 5600 5760 5880 5970 6000 6048 6125 6144 6272 6300 6368 6400 6615 6720 6750 6912 6965 7000 7056 7164 7168 7200 7350 7560 7680 7840 7875 7960 8000 8064 8358 8400 8640 8820 8955 8960 9000 9216 9408 9450 9552 9600 9751 9800 9950 10080 10240 10500 10584 10746 10752 10800 11025 11144 11200 11520 11760 11940 12000 12096 12250 12288 12537 12544 12600 12736 12800 13230 13440 13500 13824 13930 14000 14112 14328 14336 14400 14700 14925 15120 15360 15680 15750 15920 16000 16128 16716 16800 17280 17640 17910 17920 18000 18375 18432 18816 18900 19104 19200 19502 19600 19900 20160 20480 20895 21000 21168 21492 21504 21600 22050 22288 22400 23040 23520 23625 23880 24000 24192 24500 24875 25074 25088 25200 25472 25600 26460 26865 26880 27000 27648 27860 28000 28224 28656 28672 28800 29253 29400 29850 30240 30720 31360 31500 31840 32000 32256 33075 33432 33600 34560 34825 35280 35820 35840 36000 36750 36864 37611 37632 37800 38208 38400 39004 39200 39601 39800 40320 41790 42000 42336 42984 43008 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1008716672000 1016786405376 1042603247700 1059152505600 1072990679040 1089414005760 1112110130880 1117698624000 1129762672640 1134806256000 1158448053000 1186250806272 1191546568800 1210460006400 1235677923200 1270983006720 1277369856000 1303254059625 1323940632000 1334532157056 1341238348800 1361767507200 1390137663600 1412203340800 1452552007680 1482813507840 1489433211000 1490264832000 1513075008000 1525179608064 1544597404000 1581667741696 1588728758400 1668165196320 1676547936000 1694644008960 1702209384000 1737672079500 1765254176000 1779376209408 1788317798400 1815690009600 1853516884800 1906474510080 1916054784000 1977084677120 1985910948000 2017433344000 2033572810752 2085206495400 2118305011200 2178828011520 2224220261760 2235397248000 2269612512000 2316896106000 2372501612544 2383093137600 2420920012800 2471355846400 2541966013440 2606508119250 2647881264000 2669064314112 2682476697600 2723535014400 2780275327200 2824406681600 2965627015680 2978866422000 2980529664000 3026150016000 3050359216128 3089194808000 3177457516800 3336330392640 3353095872000 3389288017920 3404418768000 3475344159000 3530508352000 3558752418816 3631380019200 3707033769600 3812949020160 3832109568000 3954169354240 3971821896000 4034866688000 4170412990800 4236610022400 4357656023040 4448440523520 4470794496000 4539225024000 4633792212000 4745003225088 4766186275200 4942711692800 5083932026880 5213016238500 5295762528000 5338128628224 5364953395200 5447070028800 5560550654400 5648813363200 5931254031360 5957732844000 6052300032000 6100718432256 6178389616000 6354915033600 6672660785280 6706191744000 6808837536000 6950688318000 7061016704000 7117504837632 7262760038400 7414067539200 7625898040320 7908338708480 7943643792000 8340825981600 8473220044800 8896881047040 8941588992000 9078450048000 9267584424000 9532372550400 9885423385600 10167864053760 10426032477000 10591525056000 10676257256448 10894140057600 11121101308800 11862508062720 11915465688000 12104600064000 12356779232000 12709830067200 13345321570560 13412383488000 13617675072000 13901376636000 14122033408000 14235009675264 14828135078400 15251796080640 15887287584000 16681651963200 16946440089600 17793762094080 18156900096000 18535168848000 19064745100800 19770846771200 20852064954000 21183050112000 21352514512896 21788280115200 22242202617600 23725016125440 23830931376000 24713558464000 25419660134400 26690643141120 26824766976000 27235350144000 27802753272000 28244066816000 29656270156800 30503592161280 31774575168000 33363303926400 35587524188160 36313800192000 37070337696000 38129490201600 39541693542400 41704129908000 42366100224000 42705029025792 44484405235200 47661862752000 49427116928000 50839320268800 53381286282240 54470700288000 55605506544000 59312540313600 63549150336000 66726607852800 71175048376320 74140675392000 76258980403200 83408259816000 84732200448000 88968810470400 95323725504000 98854233856000 106762572564480 108941400576000 111211013088000 118625080627200 127098300672000 133453215705600 148281350784000 152517960806400 166816519632000 177937620940800 190647451008000 197708467712000 213525145128960 222422026176000 254196601344000 266906431411200 296562701568000 333633039264000 355875241881600 381294902016000 444844052352000 533812862822400 593125403136000 667266078528000 762589804032000 889688104704000 1067625725644800 1334532157056000 1779376209408000 2669064314112000 5338128628224000
- Sum of all divisors σ(n): 23075094399552000
- Sum of proper divisors (its aliquot sum) s(n): 17736965771328000
- 5338128628224000 is an abundant number, because the sum of its proper divisors (17736965771328000) is greater than itself. Its abundance is 12398837143104000
Bases of 5338128628224000
- Binary: 100101111011011111111111011001010011010010000000000002
- Hexadecimal: 0x12F6FFECA69000
- Base-36: 1GK7IFQUIO0
Squares and roots of 5338128628224000
- 5338128628224000 squared (53381286282240002) is 28495617251464644009394176000000
- 5338128628224000 cubed (53381286282240003) is 152113270228957109380703832100174823424000000000
-
The
square root of 5338128628224000 is 73062498.0973412925 -
The
cube root of 5338128628224000 is 174768.4407106971
Scales and comparisons
How big is 5338128628224000?- 5,338,128,628,224,000 seconds is equal to 169,735,978 years, 24 weeks.
-
To count from 1 to 5,338,128,628,224,000 would take you about five hundred nine million, two hundred seven thousand, nine hundred thirty-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 5338128628224000 cubic inches would be around 14564 feet tall.
Recreational maths with 5338128628224000
- 5338128628224000 backwards is 0004228268218335
- 5338128628224000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 5338128628224000's digits is 54
- More coming soon!
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"Number 5338128628224000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 5338128628224000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/5338128628224000/
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The information we have on file for 5338128628224000 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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