48456138396040704000
48,456,138,396,040,704,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48456138396040704000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1664 divisors.
48456138396040704000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 48456138396040704000:
212 × 33 × 53 × 7 × 12799 × 39123797
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 12799 × 39123797)See below for interesting mathematical facts about the number 48456138396040704000 from the Numbermatics database.
Names of 48456138396040704000
- Cardinal: 48456138396040704000 can be written as Forty-eight quintillion, four hundred fifty-six quadrillion, one hundred thirty-eight trillion, three hundred ninety-six billion, forty million, seven hundred four thousand.
Scientific notation
- Scientific notation: 4.8456138396040704 × 1019
Factors of 48456138396040704000
Divisors of 48456138396040704000
- Number of divisors d(n): 1664
-
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 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 250 252 256 270 280 288 300 315 320 336 350 360 375 378 384 400 420 432 448 450 480 500 504 512 525 540 560 576 600 630 640 672 675 700 720 750 756 768 800 840 864 875 896 900 945 960 1000 1008 1024 1050 1080 1120 1125 1152 1200 1260 1280 1344 1350 1400 1440 1500 1512 1536 1575 1600 1680 1728 1750 1792 1800 1890 1920 2000 2016 2048 2100 2160 2240 2250 2304 2400 2520 2560 2625 2688 2700 2800 2880 3000 3024 3072 3150 3200 3360 3375 3456 3500 3584 3600 3780 3840 4000 4032 4096 4200 4320 4480 4500 4608 4725 4800 5040 5120 5250 5376 5400 5600 5760 6000 6048 6144 6300 6400 6720 6750 6912 7000 7168 7200 7560 7680 7875 8000 8064 8400 8640 8960 9000 9216 9450 9600 10080 10240 10500 10752 10800 11200 11520 12000 12096 12288 12600 12799 12800 13440 13500 13824 14000 14336 14400 15120 15360 15750 16000 16128 16800 17280 17920 18000 18432 18900 19200 20160 20480 21000 21504 21600 22400 23040 23625 24000 24192 25200 25598 25600 26880 27000 27648 28000 28672 28800 30240 30720 31500 32000 32256 33600 34560 35840 36000 36864 37800 38397 38400 40320 42000 43008 43200 44800 46080 47250 48000 48384 50400 51196 51200 53760 54000 55296 56000 57600 60480 61440 63000 63995 64000 64512 67200 69120 71680 72000 75600 76794 76800 80640 84000 86016 86400 89593 89600 92160 94500 96000 96768 100800 102392 102400 107520 108000 110592 112000 115191 115200 120960 126000 127990 128000 129024 134400 138240 143360 144000 151200 153588 153600 161280 168000 172800 179186 179200 184320 189000 191985 192000 193536 201600 204784 215040 216000 224000 230382 230400 241920 252000 255980 256000 258048 268779 268800 276480 288000 302400 307176 307200 319975 322560 336000 345573 345600 358372 358400 378000 383970 384000 387072 403200 409568 430080 432000 447965 448000 460764 460800 483840 504000 511960 512000 537558 537600 552960 575955 576000 604800 614352 639950 645120 672000 691146 691200 716744 716800 756000 767940 768000 774144 806337 806400 819136 864000 895930 896000 921528 921600 959925 967680 1008000 1023920 1075116 1075200 1151910 1152000 1209600 1228704 1279900 1290240 1343895 1344000 1382292 1382400 1433488 1512000 1535880 1536000 1599875 1612674 1612800 1638272 1727865 1728000 1791860 1792000 1843056 1919850 1935360 2016000 2047840 2150232 2150400 2239825 2303820 2304000 2419011 2419200 2457408 2559800 2687790 2688000 2764584 2764800 2866976 2879775 3024000 3071760 3199750 3225348 3225600 3276544 3455730 3456000 3583720 3584000 3686112 3839700 3870720 4031685 4032000 4095680 4300464 4479650 4607640 4608000 4799625 4838022 4838400 4914816 5119600 5375580 5376000 5529168 5733952 5759550 6048000 6143520 6399500 6450696 6451200 6553088 6719475 6911460 6912000 7167440 7372224 7679400 8063370 8064000 8191360 8600928 8639325 8959300 9215280 9599250 9676044 9676800 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4038011533003392 4206262013545200 4326440928217920 4486679481114880 4506709300227000 4614870323432448 4732044765238350 4807156586908800 5047514416254240 5127633692702720 5257827516931500 5384015377337856 5408051160272400 5608349351393600 5768587904290560 6008945733636000 6057017299505088 6153160431243264 6309393020317800 6409542115878400 6730019221672320 6760063950340500 6922305485148672 7010436689242000 7178687169783808 7210734880363200 7571271624381360 7691450539054080 7886741275397250 8011927644848000 8076023066006784 8412524027090400 8652881856435840 8973358962229760 9013418600454000 9229740646864896 9464089530476700 9614313173817600 10095028832508480 10255267385405440 10515655033863000 10768030754675712 10816102320544800 11216698702787200 11537175808581120 11830111913095875 12017891467272000 12114034599010176 12618786040635600 12819084231756800 13460038443344640 13520127900681000 13844610970297344 14020873378484000 14357374339567616 14421469760726400 15142543248762720 15382901078108160 15773482550794500 16023855289696000 16152046132013568 16825048054180800 17305763712871680 17946717924459520 18026837200908000 18459481293729792 18928179060953400 19228626347635200 20190057665016960 21031310067726000 21536061509351424 21632204641089600 22433397405574400 23074351617162240 23660223826191750 24035782934544000 24228069198020352 25237572081271200 25638168463513600 26920076886689280 27040255801362000 27689221940594688 28041746756968000 28842939521452800 30285086497525440 30765802156216320 31546965101589000 32047710579392000 32304092264027136 33650096108361600 34611527425743360 35893435848919040 36053674401816000 37856358121906800 38457252695270400 40380115330033920 42062620135452000 43072123018702848 43264409282179200 44866794811148800 46148703234324480 47320447652383500 48071565869088000 48456138396040704 50475144162542400 51276336927027200 53840153773378560 54080511602724000 55378443881189376 56083493513936000 57685879042905600 60570172995050880 63093930203178000 64095421158784000 64608184528054272 67300192216723200 69223054851486720 71786871697838080 72107348803632000 75712716243813600 76914505390540800 80760230660067840 84125240270904000 86528818564358400 89733589622297600 92297406468648960 94640895304767000 96143131738176000 96912276792081408 100950288325084800 107680307546757120 108161023205448000 112166987027872000 115371758085811200 121140345990101760 126187860406356000 128190842317568000 129216369056108544 134600384433446400 138446109702973440 144214697607264000 151425432487627200 153829010781081600 161520461320135680 168250480541808000 173057637128716800 179467179244595200 189281790609534000 192286263476352000 193824553584162816 201900576650169600 215360615093514240 216322046410896000 224333974055744000 230743516171622400 242280691980203520 252375720812712000 256381684635136000 269200768866892800 276892219405946880 288429395214528000 302850864975254400 323040922640271360 336500961083616000 346115274257433600 358934358489190400 378563581219068000 384572526952704000 387649107168325632 403801153300339200 432644092821792000 448667948111488000 461487032343244800 484561383960407040 504751441625424000 538401537733785600 576858790429056000 605701729950508800 646081845280542720 673001922167232000 692230548514867200 757127162438136000 769145053905408000 807602306600678400 865288185643584000 897335896222976000 969122767920814080 1009502883250848000 1076803075467571200 1153717580858112000 1211403459901017600 1346003844334464000 1384461097029734400 1514254324876272000 1615204613201356800 1730576371287168000 1794671792445952000 1938245535841628160 2019005766501696000 2307435161716224000 2422806919802035200 2692007688668928000 3028508649752544000 3230409226402713600 3461152742574336000 4038011533003392000 4845613839604070400 5384015377337856000 6057017299505088000 6922305485148672000 8076023066006784000 9691227679208140800 12114034599010176000 16152046132013568000 24228069198020352000 48456138396040704000
- Sum of all divisors σ(n): 204768184685395968000
- Sum of proper divisors (its aliquot sum) s(n): 156312046289355264000
- 48456138396040704000 is an abundant number, because the sum of its proper divisors (156312046289355264000) is greater than itself. Its abundance is 107855907893314560000
Bases of 48456138396040704000
- Binary: 1010100000011101101100100100100011101110110010110000110000000000002
- Hexadecimal: 0x2A076C923BB2C3000
- Base-36: A85AJHQ7CD1C0
Squares and roots of 48456138396040704000
- 48456138396040704000 squared (484561383960407040002) is 2347997348256250170130543224815616000000
- 48456138396040704000 cubed (484561383960407040003) is 113774884460641440399907570295250624109414830833664000000000
-
The
square root of 48456138396040704000 is 6961044346.6509178677 -
The
cube root of 48456138396040704000 is 3645716.8347116787
Scales and comparisons
How big is 48456138396040704000?- 48,456,138,396,040,704,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 48,456,138,396,040,704,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 48456138396040704000 cubic inches would be around 303809.7 feet tall.
Recreational maths with 48456138396040704000
- 48456138396040704000 backwards is 00040704069383165484
- 48456138396040704000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 48456138396040704000's digits is 72
- More coming soon!
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The information we have on file for 48456138396040704000 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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