138364497544643314875
138,364,497,544,643,314,875 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138364497544643314875 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1792 divisors.
138364497544643314875 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 138364497544643314875:
33 × 53 × 76 × 313 × 2273
(3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 31 × 31 × 31 × 227 × 227 × 227)See below for interesting mathematical facts about the number 138364497544643314875 from the Numbermatics database.
Names of 138364497544643314875
- Cardinal: 138364497544643314875 can be written as One hundred thirty-eight quintillion, three hundred sixty-four quadrillion, four hundred ninety-seven trillion, five hundred forty-four billion, six hundred forty-three million, three hundred fourteen thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 1.38364497544643314875 × 1020
Factors of 138364497544643314875
Divisors of 138364497544643314875
- Number of divisors d(n): 1792
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Complete list of divisors:
1 3 5 7 9 15 21 25 27 31 35 45 49 63 75 93 105 125 135 147 155 175 189 217 225 227 245 279 315 343 375 441 465 525 651 675 681 735 775 837 875 945 961 1029 1085 1125 1135 1225 1323 1395 1519 1575 1589 1715 1953 2043 2205 2325 2401 2625 2883 3087 3255 3375 3405 3675 3875 4185 4557 4725 4767 4805 5145 5425 5675 5859 6125 6129 6615 6727 6975 7037 7203 7595 7875 7945 8575 8649 9261 9765 10215 10633 11025 11123 11625 12005 13671 14301 14415 15435 16275 16807 17025 18375 20181 20925 21111 21609 22785 23625 23835 24025 25725 25947 27125 28375 29295 29791 30645 31899 33075 33369 33635 34875 35185 36015 37975 39725 41013 42875 42903 43245 46305 47089 48825 49259 50421 51075 51529 53165 55125 55615 60025 60543 63333 64827 68355 71505 72075 74431 77175 77861 81375 84035 85125 89373 95697 100107 100905 104625 105555 108045 113925 117649 119175 120125 128625 129735 141267 146475 147777 148955 151263 153225 154587 159495 165375 166845 168175 175925 180075 181629 189875 189999 198625 205065 208537 214515 216225 218147 223293 231525 233583 235445 244125 246295 252105 255375 257645 265825 268119 278075 287091 300125 300321 302715 316665 324135 329623 341775 344813 352947 357525 360375 360703 372155 385875 389305 420175 423801 443331 446865 453789 463761 478485 500535 504525 521017 527775 540225 545027 569625 588245 595875 625611 648675 654441 669879 700749 706335 732375 738885 744775 756315 766125 772935 797475 804357 834225 840875 879625 900375 908145 949995 988869 1025325 1034439 1042685 1058841 1072575 1081125 1082109 1090735 1116465 1157625 1167915 1177225 1231475 1260525 1271403 1288225 1329125 1329993 1340595 1390375 1391283 1435455 1459759 1501605 1513575 1527029 1563051 1583325 1597399 1620675 1635081 1648115 1708875 1724065 1764735 1787625 1803515 1860775 1876833 1946525 1963323 2009637 2100875 2102247 2119005 2216655 2234325 2268945 2307361 2318805 2392425 2413691 2502675 2522625 2524921 2605085 2638875 2701125 2725135 2941225 2966607 3103317 3128055 3176523 3243375 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358573365842937 371792660436225 383596747309125 383945882884893 387006496174095 392026274609625 401274016770375 404840896919445 419765906944125 426873054574925 436942818261075 457078432005825 460722019254875 461022898940919 481953448713625 497579780795265 516056294200125 520509724610715 537035446232775 541809094643733 548836784453475 561783623478525 566777255687223 587672269721775 592356881899125 597622276404895 619654434060375 634271832959625 639909804808155 645010826956825 663500949685875 674734828199075 696611693113371 728238030435125 728713614455001 761797386676375 768371498234865 786497072869935 822741177610485 829299634658775 836671186966853 867516207684525 895059077054625 903015157739555 914727974089125 928901329560225 936306039130875 944628759478705 979453782869625 1066516341346925 1075720097528811 1151837648654679 1161019488522285 1176078823828875 1214522690758335 1280619163724775 1310828454783225 1322480263270187 1371235296017475 1382166057764625 1445860346140875 1548168882600375 1625427283931199 1646510353360425 1700331767061669 1777070645697375 1792866829214685 1858963302181125 1919729414424465 1935032480870475 2024204484597225 2134365272874625 2184714091305375 2285392160029125 2305114494704595 2487898903976325 2510013560900559 2602548623053575 2685177231163875 2709045473218665 2744183922267375 2808918117392625 2833886278436115 2938361348608875 2988111382024475 3199549024040775 3225054134784125 3227160292586433 3373674140995375 3483058465566855 3643568072275005 3841857491174325 3932485364349675 3967440789810561 4113705888052425 4146498173293875 4183355934834265 4337581038422625 4515075788697775 4644506647801125 4723143797393525 4876281851793597 5100995301185007 5332581706734625 5378600487644055 5759188243273395 5805097442611425 5856698308767971 6072613453791675 6403095818623875 6554142273916125 6612401316350935 6856176480087375 7530040682701677 8127136419655995 8232551766802125 8501658835308345 8964334146073425 9598647072122325 9675162404352375 10121022422986125 11525572473522975 11902322369431683 12439494519881625 12550067804502795 13012743115267875 13545227366093325 14169431392180575 14940556910122375 15997745120203875 16135801462932165 17415292327834275 17570094926303913 18217840361375025 19209287455871625 19662426821748375 19837203949052805 20568529440262125 20916779674171325 22575378943488875 22590122048105031 23615718986967625 24381409258967985 25504976505925035 26893002438220275 28795941216366975 29025487213057125 29283491543839855 30363067268958375 33062006581754675 35706967108295049 37650203413508385 40635682098279975 40996888161375797 42508294176541725 44821670730367125 47993235360611625 52710284778911739 57627862367614875 59511611847158415 62750339022513975 67726136830466625 70847156960902875 80679007314660825 87076461639171375 87850474631519565 91089201806875125 99186019745264025 104583898370856625 112950610240525155 121907046294839925 122990664484127391 127524882529625175 134465012191101375 143979706081834875 146417457719199275 158130854336735217 165310032908773375 178534835541475245 188251017067541925 203178410491399875 204984440806878985 212541470882708625 263551423894558695 297558059235792075 313751695112569875 368971993452382173 403395036573304125 439252373157597825 495930098726320125 564753051202625775 609535231474199625 614953322420636955 637624412648125875 732087288595996375 790654271683676085 892674177707376225 941255085337709625 1024922204034394925 1106915980357146519 1317757119472793475 1487790296178960375 1844859967261910865 2196261865787989125 2823765256013128875 3074766612103184775 3953271358418380425 4463370888536881125 5124611020171974625 5534579901785732595 6588785597363967375 9224299836309554325 15373833060515923875 19766356792091902125 27672899508928662975 46121499181547771625 138364497544643314875
- Sum of all divisors σ(n): 309769840307578060800
- Sum of proper divisors (its aliquot sum) s(n): 171405342762934745925
- 138364497544643314875 is an abundant number, because the sum of its proper divisors (171405342762934745925) is greater than itself. Its abundance is 33040845218291431050
Bases of 138364497544643314875
- Binary: 11110000000001100010111000101101110001010011101111110000100101110112
- Hexadecimal: 0x78031716E29DF84BB
- Base-36: T7888VS24H60R
Squares and roots of 138364497544643314875
- 138364497544643314875 squared (1383644975446433148752) is 19144734180781605910820326188028396265625
- 138364497544643314875 cubed (1383644975446433148753) is 2648951525549605455324492652077552556586439798365071013671875
-
The
square root of 138364497544643314875 is 11762843939.4834833827 -
138364497544643314875 is a
perfect cube number . Itscube root is 5172195
Scales and comparisons
How big is 138364497544643314875?- 138,364,497,544,643,314,875 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,364,497,544,643,314,875 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 138364497544643314875 cubic inches would be around 431016.3 feet tall.
Recreational maths with 138364497544643314875
- 138364497544643314875 backwards is 578413346445794463831
- The number of decimal digits it has is: 21
- The sum of 138364497544643314875's digits is 99
- More coming soon!
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"Number 138364497544643314875 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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The information we have on file for 138364497544643314875 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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