38948506338301875
38,948,506,338,301,875 is an odd composite number composed of five prime numbers multiplied together.
What does the number 38948506338301875 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 720 divisors.
38948506338301875 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 38948506338301875:
32 × 54 × 73 × 412 × 2293
(3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 41 × 41 × 229 × 229 × 229)See below for interesting mathematical facts about the number 38948506338301875 from the Numbermatics database.
Names of 38948506338301875
- Cardinal: 38948506338301875 can be written as Thirty-eight quadrillion, nine hundred forty-eight trillion, five hundred six billion, three hundred thirty-eight million, three hundred one thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 3.8948506338301875 × 1016
Factors of 38948506338301875
Divisors of 38948506338301875
- Number of divisors d(n): 720
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Complete list of divisors:
1 3 5 7 9 15 21 25 35 41 45 49 63 75 105 123 125 147 175 205 225 229 245 287 315 343 369 375 441 525 615 625 687 735 861 875 1025 1029 1125 1145 1225 1435 1575 1603 1681 1715 1845 1875 2009 2061 2205 2583 2625 3075 3087 3435 3675 4305 4375 4809 5043 5125 5145 5625 5725 6027 6125 7175 7875 8015 8405 8575 9225 9389 10045 10305 11025 11221 11767 12915 13125 14063 14427 15129 15375 15435 17175 18081 18375 21525 24045 25215 25625 25725 28167 28625 30135 30625 33663 35301 35875 39375 40075 42025 42189 42875 46125 46945 50225 51525 52441 55125 56105 58835 64575 65723 70315 72135 75645 76875 77175 78547 82369 84501 85875 90405 91875 100989 105903 107625 120225 126075 126567 128625 140835 143125 150675 157323 168315 176505 179375 197169 200375 210125 210945 214375 230625 234725 235641 247107 251125 257625 262205 275625 280525 294175 322875 328615 351575 360675 367087 378225 384949 385875 392735 411845 422505 429375 452025 460061 471969 504945 529515 538125 576583 591507 601125 630375 632835 643125 704175 706923 741321 753375 786615 841575 882525 985845 1001875 1050625 1054725 1101261 1154847 1173625 1178205 1235535 1255625 1288125 1311025 1380183 1402625 1470875 1614375 1643075 1729749 1757875 1803375 1835435 1891125 1924745 1929375 1963675 2059225 2112525 2150081 2260125 2300305 2359845 2524725 2569609 2647575 2694643 2882915 2957535 3005625 3151875 3164175 3220427 3303783 3464541 3520875 3534615 3706605 3766875 3933075 4140549 4207875 4412625 4929225 5189247 5273625 5506305 5774235 5868125 5891025 6177675 6450243 6555125 6900915 7013125 7354375 7708827 8083929 8215375 8648745 8789375 9016875 9177175 9455625 9623725 9661281 9818375 10296125 10562625 10750405 11300625 11501525 11799225 12008989 12623625 12848045 13237875 13473215 14414575 14787675 15050567 15820875 16102135 16518915 17322705 17604375 17673075 17987263 18533025 18862501 19350729 19665375 20702745 21039375 22063125 23126481 24251787 24646125 25946235 26368125 27531525 28871175 28983843 29455125 30888375 32251215 32775625 34504575 36026967 38544135 40419645 41076875 43243725 45151701 45885875 48118625 48306405 49091875 51480625 52813125 53752025 53961789 56587503 57507625 58996125 60044945 63118125 64240225 66189375 67366075 72072875 73938375 75252835 79104375 80510675 82594575 84062923 86613525 88153321 88365375 89936315 92665125 94312505 96753645 98326875 103513725 105353969 108080901 115632405 121258935 123230625 129731175 132037507 135455103 137657625 144355875 144919215 147275625 154441875 161256075 161885367 169762509 172522875 180134835 192720675 202098225 216218625 225758505 229429375 240593125 241532025 252188769 264459963 268760125 269808945 282937515 287538125 294980625 300224725 316061907 321201125 336830375 360364375 369691875 376264175 396112521 402553375 412972875 420314615 433067625 440766605 441826875 449681575 463325625 471562525 483768225 492368549 517568625 526769845 540404505 578162025 588440461 606294675 617073247 648655875 660187535 677275515 688288125 721779375 724596075 737477783 756566307 793379889 806280375 809426835 848812545 862614375 900674175 948185721 963603375 1010491125 1081093125 1128792525 1188337563 1207660125 1260943845 1322299815 1343800625 1349044725 1414687575 1477105647 1501123625 1580309535 1606005625 1684151875 1765321383 1851219741 1881320875 1980562605 2012766875 2064864375 2101573075 2165338125 2203833025 2212433349 2248407875 2357812625 2418841125 2461842745 2587843125 2633849225 2702022525 2890810125 2942202305 3031473375 3085366235 3243279375 3300937675 3386377575 3446579843 3622980375 3687388915 3782831535 3966899445 4031401875 4047134175 4119083227 4244062725 4319512729 4431316941 4503370875 4740928605 4818016875 5052455625 5295964149 5553659223 5643962625 5941687815 6038300625 6304719225 6611499075 6637300047 6745223625 7073437875 7385528235 7505618125 7901547675 8826606915 9256098705 9406604375 9902813025 10339739529 10507865375 11019165125 11062166745 11242039375 11789063125 12094205625 12309213725 12357249681 12958538187 13169246125 13510112625 14454050625 14711011525 15157366875 15426831175 16504688375 16931887875 17232899215 18114901875 18436944575 18914157675 19834497225 20187110509 20235670875 20595416135 21220313625 21597563645 22156584705 22516854375 23704643025 24126058901 26479820745 27768296115 28219813125 29708439075 30236589103 31019218587 31523596125 33057495375 33186500235 33726118125 35367189375 36927641175 37071749043 38875614561 39507738375 44133034575 46280493525 49514065125 51698697645 52539326875 55095825625 55310833725 60561331527 61546068625 61786248405 64792690935 65846230625 67550563125 72378176703 73555057625 77134155875 82523441875 84659439375 86164496075 90709767309 92184722875 94570788375 99172486125 100935552545 101178354375 102977080675 106101568125 107987818225 110782923525 118523215125 120630294505 132399103725 138841480575 141309773563 148542195375 151182945515 155096092935 157617980625 165287476875 165932501175 168882412307 181683994581 184638205875 185358745215 194378072805 197538691875 217134530109 220665172875 231402467625 247570325625 258493488225 272129301927 276554168625 302806657635 307730343125 308931242025 323963454675 361890883515 367775288125 385670779375 423929320689 430822480375 453548836545 460923614375 472853941875 495862430625 504677762725 506647236921 514885403375 539939091125 553914617625 592616075625 603151472525 661995518625 694207402875 706548867815 742710976875 755914727575 775480464675 829662505875 844412061535 908419972905 923191029375 926793726075 971890364025 989168414941 1085672650545 1103325864375 1157012338125 1271787962067 1292467441125 1360646509635 1382770843125 1514033288175 1519941710763 1544656210125 1619817273375 1809454417575 2119646603445 2154112401875 2267744182725 2523388813625 2533236184605 2574427016875 2699695455625 2769573088125 2967505244823 3015757362625 3309977593125 3471037014375 3532744339075 3779573637875 3877402323375 4148312529375 4222060307675 4542099864525 4633968630375 4859451820125 4945842074705 5428363252725 6358939810335 6462337205625 6803232548175 6924178904587 7570166440875 7599708553815 7723281050625 8099086366875 8902515734469 9047272087875 10598233017225 11338720913625 12616944068125 12666180923025 14837526224115 15078786813125 17663721695375 18897868189375 19387011616875 20772536713761 21110301538375 22710499322625 23169843151875 24297259100625 24729210373525 27141816263625 31794699051675 34016162740875 34620894522935 37850832204375 37998542769075 44512578672345 45236360439375 52991165086125 56693604568125 62317610141283 63330904615125 74187631120575 88318608476875 103862683568805 105551507691875 113552496613125 123646051867625 135709081318125 158973495258375 170080813704375 173104472614675 189992713845375 222562893361725 264955825430625 311588050706415 316654523075625 370938155602875 519313417844025 618230259338125 794867476291875 865522363073375 949963569226875 1112814466808625 1557940253532075 1854690778014375 2596567089220125 4327611815366875 5564072334043125 7789701267660375 12982835446100625 38948506338301875
- Sum of all divisors σ(n): 84400833819016000
- Sum of proper divisors (its aliquot sum) s(n): 45452327480714125
- 38948506338301875 is an abundant number, because the sum of its proper divisors (45452327480714125) is greater than itself. Its abundance is 6503821142412250
Bases of 38948506338301875
- Binary: 100010100101111101110101110011001101001110010111101100112
- Hexadecimal: 0x8A5F75CCD397B3
- Base-36: ANI3CST6WMR
Squares and roots of 38948506338301875
- 38948506338301875 squared (389485063383018752) is 1516986145984741330945658628515625
- 38948506338301875 cubed (389485063383018753) is 59084344522002831172446684415604428543014404296875
-
The
square root of 38948506338301875 is 197353759.3721028537 -
The
cube root of 38948506338301875 is 338971.8256629525
Scales and comparisons
How big is 38948506338301875?- 38,948,506,338,301,875 seconds is equal to 1,238,442,025 years, 47 weeks, 5 days, 1 hour, 11 minutes, 15 seconds.
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To count from 1 to 38,948,506,338,301,875 would take you about three billion, seven hundred fifteen million, three hundred twenty-six thousand and seventy-seven 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 38948506338301875 cubic inches would be around 28247.7 feet tall.
Recreational maths with 38948506338301875
- 38948506338301875 backwards is 57810383360584983
- The number of decimal digits it has is: 17
- The sum of 38948506338301875's digits is 81
- More coming soon!
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The information we have on file for 38948506338301875 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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