390993055712133875
390,993,055,712,133,875 is an odd composite number composed of six prime numbers multiplied together.
What does the number 390993055712133875 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
390993055712133875 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 390993055712133875:
53 × 7 × 112 × 133 × 293 × 413
(5 × 5 × 5 × 7 × 11 × 11 × 13 × 13 × 13 × 29 × 29 × 29 × 41 × 41 × 41)See below for interesting mathematical facts about the number 390993055712133875 from the Numbermatics database.
Names of 390993055712133875
- Cardinal: 390993055712133875 can be written as Three hundred ninety quadrillion, nine hundred ninety-three trillion, fifty-five billion, seven hundred twelve million, one hundred thirty-three thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 3.90993055712133875 × 1017
Factors of 390993055712133875
Divisors of 390993055712133875
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 5 7 11 13 25 29 35 41 55 65 77 91 121 125 143 145 169 175 203 205 275 287 319 325 377 385 451 455 533 605 715 725 841 845 847 875 1001 1015 1025 1183 1189 1375 1435 1573 1595 1625 1681 1859 1885 1925 2197 2233 2255 2275 2639 2665 3025 3157 3509 3575 3625 3731 4147 4205 4225 4235 4901 4961 5005 5075 5125 5863 5887 5915 5945 6929 7175 7865 7975 8323 8405 9251 9295 9425 9625 10933 10985 11011 11165 11275 11375 11767 13013 13079 13195 13325 15125 15379 15457 15785 17545 17875 18491 18655 20449 20735 21025 21125 21175 21853 24167 24389 24505 24563 24805 25025 25375 29029 29315 29435 29575 29725 34307 34481 34645 34727 35875 39325 39875 41041 41615 42025 45617 46255 46475 47125 48503 48749 53911 54665 54925 55055 55825 56375 58835 63713 64493 64757 65065 65395 65975 66625 68921 76219 76531 76895 77285 78925 87725 90077 91553 92455 93275 101761 102245 103675 105125 105875 108199 109265 120263 120835 121945 122525 122815 124025 125125 129437 142129 143143 143869 145145 146575 147175 147875 148625 152971 169169 170027 170723 171535 172405 173225 173635 196625 200941 203401 205205 208075 210125 228085 231275 232375 240383 241367 242515 243745 265837 268279 269555 273325 274625 275275 279125 284089 294175 317057 318565 319319 322465 323785 325325 326975 329875 341243 344605 377377 379291 381095 382655 384475 386425 394625 438625 445991 448253 450385 451451 457765 462275 466375 482447 508805 511225 518375 533533 536239 540995 546325 593021 601315 604175 609725 612625 614075 620125 630539 633737 647185 700843 710645 712327 715715 719345 725725 732875 735875 758131 764855 838409 841841 845845 850135 853615 857675 862025 866125 868175 895973 990847 994903 999949 1004705 1007083 1017005 1026025 1040375 1140425 1156375 1190189 1201915 1206835 1212575 1218725 1322893 1329185 1341395 1347775 1366625 1376375 1406587 1413721 1420445 1423807 1470875 1563419 1585285 1592825 1596595 1612325 1618925 1626625 1634875 1682681 1706215 1723025 1847677 1860859 1870297 1877953 1886885 1896455 1905475 1913275 1922375 1932125 1988623 1998709 2210351 2219399 2229955 2241265 2251925 2257255 2288825 2311375 2412235 2544025 2556125 2612233 2644213 2655037 2667665 2681195 2704975 2731625 2951069 2965105 3006575 3020875 3048625 3070375 3124979 3137771 3152695 3168685 3235925 3487627 3504215 3553225 3561635 3578575 3596725 3628625 3693157 3753673 3790655 3824275 4121741 4151147 4172201 4192045 4209205 4229225 4250675 4268075 4288375 4310125 4340875 4436159 4479865 4905901 4930783 4954235 4974515 4999745 5023525 5035415 5085025 5130125 5306917 5702125 5827289 5868863 5898629 5950945 6009575 6034175 6062875 6093625 6271811 6614465 6645925 6706975 6738875 6935929 6971107 6999643 7032935 7068605 7102225 7119035 7709273 7817095 7926425 7964125 7982975 8061625 8094625 8238581 8339441 8413405 8531075 8615125 9238385 9260251 9304295 9351485 9389765 9434425 9482275 9527375 9566375 9855703 9896047 9943115 9993545 10899317 10943933 10999439 11051755 11096995 11149775 11206325 11259625 11286275 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16015517375 16081076375 17455573135 17627549225 17783891125 17874088375 18321751877 18396751373 18490056959 18578000155 18654048595 18742771775 18837832325 18927429625 18972228275 19237574125 20447957101 20629313705 20832558175 21123922625 21173920075 21274628375 21382530125 21741615259 21851885497 21955818365 22007784799 22315585985 22421724325 22735314875 24165767483 24678568915 24803734945 24921707525 25023723725 25142742625 25270262875 26009200217 26372965255 26498401475 27946114625 28909180729 29165581445 29313504935 29452927075 29573491675 29864856125 29935542175 30077922875 30230473625 30738145711 32417492965 33568409875 34165395407 34643233105 34725228923 34890390535 35067349405 35234138225 35378368025 35546636125 35726923375 35873170375 39124560475 39322994425 39510024125 39671757125 40871600341 41038906909 41234097905 41443231115 41640345175 41810798575 42022856725 42222727625 42322663075 45384490151 45831627985 46472629775 46884803875 47458786375 48302800403 48500526347 48978364045 49094289167 49327793515 50017692725 50717240875 54922198825 55052192195 55314033775 55594578325 55858999625 56087656625 56372124875 58020523561 58296483245 58831999415 59111818675 62341332625 64164279179 64489710857 64796439565 65061681685 65702683475 66285412375 66621602125 67096904875 68569709663 73676120375 76215112831 76891078355 77648625925 77832409655 78202599475 78599231425 78920974825 79296342125 79698521375 87277865675 88137746125 90072406073 90715015391 91175108453 91608759385 91983756865 92450284795 92890000775 93270242975 93713858875 94189161625 94861141375 102239785505 103146568525 104162790875 105869600375 107752400899 108708076295 109259427485 109779091825 110038923995 111577929925 112108621625 120828837415 123392844575 124018674725 124608537625 125118618625 127343746517 128252263139 129430398713 130046001085 131864826275 132492007375 143135699707 144545903645 145827907225 146567524675 147264635375 147867458375 149677710875 152963198479 153690728555 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557889649625 604144187075 616964222875 620093373625 630506842511 636718732585 638225759171 641261315695 647151993565 650230005425 659324131375 715678498535 722729518225 729139536125 732837623375 754266806293 764815992395 768453642775 810437324125 838366241141 845801861905 854134885175 866080827625 868130723075 872259763375 876683735125 891406225619 990796466803 1011821325515 1016953132745 1021790008525 1025972672725 1030852447625 1036080777875 1134612253775 1145790699625 1185276409889 1195788839245 1201853702335 1207570010075 1212513158675 1224459101125 1227357229175 1233194837875 1329117211565 1376304804875 1400781211687 1420372557305 1423734385843 1430506011935 1450513089025 1457412081125 1470799985375 1604106979475 1612242771425 1619910989125 1626542042125 1682595183269 1690598014105 1714242741575 1860764096191 1879096747385 1905377820775 1922276958875 1945810241375 1988521580227 2251810151825 2257139879995 2267875384775 2279377711325 2290218984625 2299593921625 2311257119875 2555994637625 2630735446339 2644078145137 2656654022165 2667528949085 2693810022475 2717701907375 2731485687125 2750973099875 3020720935375 3124819626071 3152534212555 3183593662925 3191128795855 3206306578475 3235759967825 3251150027125 3578392492675 3613647591125 3692968648993 3719315631031 3771334031465 3824079961975 3842268213875 4191831205705 4229009309525 4270674425875 4340653615375 4457031128095 4953982334015 5059106627575 5084765663725 5108950042625 5129863363625 5673061268875 5868563687987 5926382049445 5978944196225 6009268511675 6037850050375 6062565793375 6136786145875 6645586057825 6935575267621 7003906058435 7101862786525 7118671929215 7152530059675 7252565445125 8020534897375 8061213857125 8296934869223 8412975916345 8452990070525 8571213707875 9303820480955 9395483736925 9526889103875 9805468481809 9942607901135 10898761134833 11259050759125 11285699399975 11339376923875 11396888556625 13153677231695 13220390725685 13283270110825 13337644745425 13469050112375 15408593328557 15624098130355 15762671062775 15917968314625 15955643979275 16031532892375 16178799839125 17891962463375 18464843244965 18508547015959 18596578155155 18856670157325 19120399809875 20959156028525 21145046547625 21873737382497 22285155640475 24769911670075 25295533137875 25423828318625 25850780542951 29342818439935 29631910247225 29894720981125 30046342558375 33227930289125 34373015886781 34677876338105 35019530292175 35509313932625 35593359646075 35762650298375 40622655138923 41484674346115 42064879581725 42264950352625 46519102404775 46977418684625 49027342409045 49713039505675 54493805674165 56428496999875 65768386158475 66101953628425 66416350554125 66688223727125 76291327943831 77042966642785 78120490651775 78813355313875 79778219896375 92324216224825 92542735079795 92982890775775 94283350786625 104795780142625 107860153299899 109368686912485 111425778202375 123849558350375 129253902714755 146714092199675 148159551236125 171865079433905 173389381690525 175097651460875 177966798230375 203113275694615 207423371730575 210324397908625 232595512023875 240611111207467 245136712045225 248565197528375 272469028370825 284358585972461 328841930792375 330509768142125 381456639719155 385214833213925 390602453258875 446849206528153 461621081124125 462713675398975 464914453878875 539300766499495 546843434562425 646269513573775 733570460998375 859325397169525 866946908452625 1015566378473075 1037116858652875 1203055556037335 1225683560226125 1362345141854125 1421792929862305 1907283198595775 1926074166069625 2234246032640765 2313568376994875 2696503832497475 2734217172812125 3127944445697071 3231347567868875 4296626985847625 5077831892365375 6015277780186675 7108964649311525 9536415992978875 11171230163203825 13482519162487375 15639722228485355 30076388900933375 35544823246557625 55856150816019125 78198611142426775 390993055712133875
- Sum of all divisors σ(n): 704939443675084800
- Sum of proper divisors (its aliquot sum) s(n): 313946387962950925
- 390993055712133875 is a deficient number, because the sum of its proper divisors (313946387962950925) is less than itself. Its deficiency is 77046667749182950
Bases of 390993055712133875
- Binary: 101011011010001011000011100110100110101110111000010111100112
- Hexadecimal: 0x56D161CD35DC2F3
- Base-36: 2YXVGY45GR8Z
Squares and roots of 390993055712133875
- 390993055712133875 squared (3909930557121338752) is 152875569615111824217610905922515625
- 390993055712133875 cubed (3909930557121338753) is 59773286107545618100308514846368075180845876779296875
-
The
square root of 390993055712133875 is 625294375.2442795443 -
The
cube root of 390993055712133875 is 731233.9521213529
Scales and comparisons
How big is 390993055712133875?- 390,993,055,712,133,875 seconds is equal to 12,432,369,750 years, 37 weeks, 1 day, 19 hours, 24 minutes, 35 seconds.
-
To count from 1 to 390,993,055,712,133,875 would take you about thirty-seven billion, two hundred ninety-seven million, one hundred nine thousand, two hundred fifty-two 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 390993055712133875 cubic inches would be around 60936.2 feet tall.
Recreational maths with 390993055712133875
- 390993055712133875 backwards is 578331217550399093
- The number of decimal digits it has is: 18
- The sum of 390993055712133875's digits is 80
- More coming soon!
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"Number 390993055712133875 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 390993055712133875 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/390993055712133875/
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Numbermatics. 2024. "Number 390993055712133875 - Facts about the integer". https://numbermatics.com/n/390993055712133875/
The information we have on file for 390993055712133875 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!
Keywords: Divisors of 390993055712133875, math, Factors of 390993055712133875, curriculum, school, college, exams, university, Prime factorization of 390993055712133875, STEM, science, technology, engineering, physics, economics, calculator, three hundred ninety quadrillion, nine hundred ninety-three trillion, fifty-five billion, seven hundred twelve million, one hundred thirty-three thousand, eight hundred seventy-five.