48138831382231800
48,138,831,382,231,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 48138831382231800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
48138831382231800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 48138831382231800:
23 × 33 × 52 × 7 × 53 × 24028567127
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 53 × 24028567127)See below for interesting mathematical facts about the number 48138831382231800 from the Numbermatics database.
Names of 48138831382231800
- Cardinal: 48138831382231800 can be written as Forty-eight quadrillion, one hundred thirty-eight trillion, eight hundred thirty-one billion, three hundred eighty-two million, two hundred thirty-one thousand, eight hundred.
Scientific notation
- Scientific notation: 4.81388313822318 × 1016
Factors of 48138831382231800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 24028567197
Divisors of 48138831382231800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 40 42 45 50 53 54 56 60 63 70 72 75 84 90 100 105 106 108 120 126 135 140 150 159 168 175 180 189 200 210 212 216 225 252 265 270 280 300 315 318 350 360 371 378 420 424 450 477 504 525 530 540 600 630 636 675 700 742 756 795 840 900 945 954 1050 1060 1080 1113 1260 1272 1325 1350 1400 1431 1484 1512 1575 1590 1800 1855 1890 1908 2100 2120 2226 2385 2520 2650 2700 2862 2968 3150 3180 3339 3710 3780 3816 3975 4200 4452 4725 4770 5300 5400 5565 5724 6300 6360 6678 7155 7420 7560 7950 8904 9275 9450 9540 10017 10600 11130 11448 11925 12600 13356 14310 14840 15900 16695 18550 18900 19080 20034 22260 23850 26712 27825 28620 31800 33390 35775 37100 37800 40068 44520 47700 50085 55650 57240 66780 71550 74200 80136 83475 95400 100170 111300 133560 143100 166950 200340 222600 250425 286200 333900 400680 500850 667800 1001700 2003400 24028567127 48057134254 72085701381 96114268508 120142835635 144171402762 168199969889 192228537016 216257104143 240285671270 288342805524 336399939778 360428506905 432514208286 480571342540 504599909667 576685611048 600714178175 648771312429 672799879556 720857013810 840999849445 865028416572 961142685080 1009199819334 1081285520715 1201428356350 1273514057731 1297542624858 1345599759112 1441714027620 1513799729001 1681999698890 1730056833144 1802142534525 2018399638668 2162571041430 2402856712700 2522999548335 2547028115462 2595085249716 2883428055240 3027599458002 3243856562145 3363999397780 3604285069050 3820542173193 4036799277336 4204999247225 4325142082860 4541399187003 4805713425400 5045999096670 5094056230924 5190170499432 5406427603575 6055198916004 6367570288655 6487713124290 6727998795560 7208570138100 7568998645005 7641084346386 8409998494450 8650284165720 8914598404117 9082798374006 10091998193340 10188112461848 10812855207150 11461626519579 12110397832008 12614997741675 12735140577310 12975426248580 14417140276200 15137997290010 15282168692772 16219282810725 16819996988900 17829196808234 18165596748012 19102710865965 20183996386680 21625710414300 22706995935015 22923253039158 25229995483350 25470281154620 25950852497160 26743795212351 30275994580020 30564337385544 31837851443275 32438565621450 33639993977800 34384879558737 35658393616468 36331193496024 37844993225025 38205421731930 43251420828600 44572992020585 45413991870030 45846506078316 50459990966700 50940562309240 53487590424702 57308132597895 60551989160040 63675702886550 64877131242900 68769759117474 71316787232936 75689986450050 76410843463860 80231385637053 89145984041170 90827983740060 91693012156632 95513554329825 100919981933400 106975180849404 113534979675075 114616265195790 127351405773100 129754262485800 133718976061755 137539518234948 151379972900100 152821686927720 160462771274106 171924397793685 178291968082340 181655967480120 191027108659650 213950361698808 222864960102925 227069959350150 229232530391580 240694156911159 254702811546200 267437952123510 275079036469896 286540662989475 302759945800200 320925542548212 343848795587370 356583936164680 382054217319300 401156928185265 445729920205850 454139918700300 458465060783160 481388313822318 534875904247020 573081325978950 641851085096424 668594880308775 687697591174740 764108434638600 802313856370530 859621988968425 891459840411700 908279837400600 962776627644636 1069751808494040 1146162651957900 1203470784555795 1337189760617550 1375395182349480 1604627712741060 1719243977936850 1782919680823400 1925553255289272 2005784640926325 2292325303915800 2406941569111590 2674379521235100 3209255425482120 3438487955873700 4011569281852650 4813883138223180 5348759042470200 6017353922778975 6876975911747400 8023138563705300 9627766276446360 12034707845557950 16046277127410600 24069415691115900 48138831382231800
- Sum of all divisors σ(n): 193074342586905600
- Sum of proper divisors (its aliquot sum) s(n): 144935511204673800
- 48138831382231800 is an abundant number, because the sum of its proper divisors (144935511204673800) is greater than itself. Its abundance is 96796679822442000
Bases of 48138831382231800
- Binary: 101010110000011000000011000110000111000010111010111110002
- Hexadecimal: 0xAB06031870BAF8
- Base-36: D5ZSHU96Q60
Squares and roots of 48138831382231800
- 48138831382231800 squared (481388313822318002) is 2317347086846945192152748931240000
- 48138831382231800 cubed (481388313822318003) is 111554380667831165701567892284284079375941432000000
-
The
square root of 48138831382231800 is 219405632.0658879531 -
The
cube root of 48138831382231800 is 363774.1609763953
Scales and comparisons
How big is 48138831382231800?- 48,138,831,382,231,800 seconds is equal to 1,530,665,934 years, 40 weeks, 1 day, 7 hours, 30 minutes.
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To count from 1 to 48,138,831,382,231,800 would take you about four billion, five hundred ninety-one million, nine hundred ninety-seven thousand, eight hundred four 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 48138831382231800 cubic inches would be around 30314.5 feet tall.
Recreational maths with 48138831382231800
- 48138831382231800 backwards is 00813228313883184
- 48138831382231800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48138831382231800's digits is 63
- More coming soon!
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