138648772926378714125
138,648,772,926,378,714,125 is an odd composite number composed of five prime numbers multiplied together.
138648772926378714125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138648772926378714125:
53 × 73 × 793 × 1092 × 7432
(5 × 5 × 5 × 7 × 7 × 7 × 79 × 79 × 79 × 109 × 109 × 743 × 743)See below for interesting mathematical facts about the number 138648772926378714125 from the Numbermatics database.
Names of 138648772926378714125
- Cardinal: 138648772926378714125 can be written as One hundred thirty-eight quintillion, six hundred forty-eight quadrillion, seven hundred seventy-two trillion, nine hundred twenty-six billion, three hundred seventy-eight million, seven hundred fourteen thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38648772926378714125 × 1020
Factors of 138648772926378714125
Divisors of 138648772926378714125
- Number of divisors d(n): 576
-
Complete list of divisors:
1 5 7 25 35 49 79 109 125 175 245 343 395 545 553 743 763 875 1225 1715 1975 2725 2765 3715 3815 3871 5201 5341 6125 6241 8575 8611 9875 11881 13625 13825 18575 19075 19355 26005 26705 27097 31205 36407 37387 42875 43055 43687 58697 59405 60277 69125 80987 83167 92875 95375 96775 130025 133525 135485 156025 182035 186935 215275 218435 254849 293485 297025 301385 305809 404935 410879 415835 421939 483875 493039 552049 566909 582169 650125 667625 677425 680269 780125 910175 934675 938599 1076375 1092175 1274245 1467425 1485125 1506925 1529045 2024675 2054395 2079175 2109695 2140663 2465195 2760245 2834545 2876153 2910845 2953573 3387125 3401345 3451273 3864343 3968363 4075183 4550875 4637063 4673375 4692995 4761883 5460875 6371225 6397973 6570193 7337125 7534625 7645225 8827583 10123375 10271975 10395875 10548475 10703315 12325975 13801225 14172725 14380765 14554225 14767865 17006725 17256365 19321715 19841815 20133071 20375915 23185315 23464975 23809415 24158911 27050401 27778541 31856125 31989865 32459441 32850965 33333181 38226125 43611871 44137915 44785811 45991351 51359875 52742375 53516575 53741251 60173341 61629875 61793081 69006125 70863625 71903825 72771125 73839325 74149321 85033625 86281825 96608575 99209075 100665355 101879575 115926575 117324875 119047075 120794555 135252005 138892705 159949325 162297205 164254825 166665905 169112377 189352807 218059355 220689575 223929055 227216087 229956755 233332267 267582875 268706255 300866705 305283097 308965405 313500677 321939457 359519125 366327977 369196625 370746605 376188757 421213387 431409125 432551567 483042875 496045375 503326775 505439867 509397875 519045247 579632875 595235375 603972775 676260025 694463525 697379057 799746625 811486025 821274125 833329525 845561885 946764035 1090296775 1103447875 1119645275 1136080435 1149783775 1166661335 1343531275 1504333525 1526415485 1544827025 1567503385 1590512609 1609697285 1831639885 1853733025 1880943785 2106066935 2136981679 2162757835 2194504739 2516633875 2527199335 2564295839 2595226235 2633321299 2948493709 3019863875 3027860969 3381300125 3445337809 3472317625 3486895285 3538079069 3633316729 4057430125 4166647625 4227809425 4733820175 4753693939 4881653399 5451483875 5598226375 5680402175 5748918875 5833306675 5857796359 6558894169 6717656375 7521667625 7632077425 7724135125 7837516925 7952563045 8048486425 9158199425 9268665125 9404718925 10530334675 10684908395 10813789175 10972523695 12635996675 12821479195 12976131175 13166606495 14742468545 14958871753 15139304845 17226689045 17434476425 17690395345 17950070873 18166583645 18433249093 20639455963 21139047125 23669100875 23768469695 24117364663 24408266995 24766553483 25433217103 28402010875 29166533375 29288981795 32794470845 33275857573 34171573793 38160387125 39187584625 39762815225 39929749493 40242432125 41004574513 45790997125 45912259183 47023594625 52651673375 53424541975 54068945875 54862618475 55092945503 63179983375 64107395975 64880655875 65833032475 73712342725 74794358765 75696524225 86133445225 87172382125 88451976725 89750354365 90832918225 92166245465 103197279815 118842348475 120586823315 122041334975 123832767415 125650496111 127166085515 146444908975 163972354225 166379287865 168821552641 170857868965 173365874381 198814076125 199648747465 205022872565 229561295915 232931003011 239201016551 267122709875 272181686911 274313092375 275464727515 279508246451 287032021591 320536979875 321385814281 329165162375 368561713625 373971793825 375541821181 378482621125 385650618521 430667226125 442259883625 448751771825 454164591125 460831227325 515986399075 518152639351 594211742375 602934116575 610206674875 619163837075 628252480555 635830427575 732224544875 819861771125 831896439325 844107763205 854289344825 866829371905 998243737325 1025114362825 1147806479575 1164655015055 1181750868487 1196005082755 1360908434555 1377323637575 1397541232255 1435160107955 1606929071405 1630517021077 1869858969125 1877709105905 1905271808377 1928253092605 1956557725157 2009224151137 2243758859125 2249700699967 2304156136625 2579931995375 2590763196755 2628792748267 2699554329647 3014670582875 3095819185375 3141262402775 3179152137875 3627068475457 4159482196625 4220538816025 4271446724125 4334146859525 4352342694737 4991218686625 5125571814125 5739032397875 5823275075275 5908754342435 5980025413775 6804542172775 6886618187875 6987706161275 7175800539775 8034645357025 8152585105385 9388545529525 9526359041885 9641265463025 9782788625785 10046120755685 11248503499835 12953815983775 13143963741335 13336902658639 13497771648235 13695904076099 15706312013875 18135342377285 18401549237869 18896880307529 21102694080125 21670734297625 21761713473685 25389479328199 29116375376375 29543771712175 29667803873299 29900127068875 30466398863159 34022710863875 34938530806375 35879002698875 40173226785125 40762925526925 40934058508729 46942727647625 47631795209425 48206327315125 48913943128925 50230603778425 56242517499175 64769079918875 65719818706675 66684513293195 67488858241175 68479520380495 90676711886425 92007746189345 93358318610473 94484401537645 108808567368425 126947396640995 128810844665083 147718858560875 148339019366495 152331994315795 177726355297393 203814627634625 204670292543645 207674627113093 213264792042113 238158976047125 244569715644625 251153018892125 281212587495875 286538409561103 328599093533375 333422566465975 337444291205875 342397601902475 453383559432125 460038730946725 466791593052365 472422007688225 544042836842125 634736983204975 644054223325415 741695096832475 761659971578975 888631776486965 1023351462718225 1038373135565465 1066323960210565 1432692047805515 1453722389791651 1492853544294791 1667112832329875 1711988009512375 2005768866927721 2300193654733625 2333957965261825 2362110038441125 3173684916024875 3220271116627075 3233790622189591 3708475484162375 3808299857894875 4443158882434825 5116757313591125 5191865677827325 5331619801052825 7163460239027575 7268611948958255 7464267721473955 10028844334638605 10176056728541557 11669789826309125 14040382068494047 16101355583135375 16168953110947955 22215794412174125 22636534355327137 25959328389136625 26658099005264125 35817301195137875 36343059744791275 37321338607369775 50144221673193025 50880283642707785 70201910342470235 80844765554739775 113182671776635685 158455740487289959 181715298723956375 186606693036848875 250721108365965125 254401418213538925 351009551712351175 404223827773698875 565913358883178425 792278702436449795 1109190183411029713 1272007091067694625 1755047758561755875 2829566794415892125 3961393512182248975 5545950917055148565 19806967560911244875 27729754585275742825 138648772926378714125
- Sum of all divisors σ(n): 206545757517695232000
- Sum of proper divisors (its aliquot sum) s(n): 67896984591316517875
- 138648772926378714125 is a deficient number, because the sum of its proper divisors (67896984591316517875) is less than itself. Its deficiency is 70751788335062196250
Bases of 138648772926378714125
- Binary: 11110000100001000110110010001100010010001001001100110100100000011012
- Hexadecimal: 0x7842364624499A40D
- Base-36: T9DZC3FJWVTOT
Squares and roots of 138648772926378714125
- 138648772926378714125 squared (1386487729263787141252) is 19223482233990527098918130983888474515625
- 138648772926378714125 cubed (1386487729263787141253) is 2665312223114827994826648250778033636047627176692519720703125
-
The
square root of 138648772926378714125 is 11774921355.4222396821 -
The
cube root of 138648772926378714125 is 5175734.7372709911
Scales and comparisons
How big is 138648772926378714125?- 138,648,772,926,378,714,125 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,648,772,926,378,714,125 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 138648772926378714125 cubic inches would be around 431311.2 feet tall.
Recreational maths with 138648772926378714125
- 138648772926378714125 backwards is 521417873629277846831
- The number of decimal digits it has is: 21
- The sum of 138648772926378714125's digits is 101
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138648772926378714125 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 138648772926378714125 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138648772926378714125/
Chicago style:
Numbermatics. 2024. "Number 138648772926378714125 - Facts about the integer". https://numbermatics.com/n/138648772926378714125/
The information we have on file for 138648772926378714125 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 138648772926378714125, math, Factors of 138648772926378714125, curriculum, school, college, exams, university, Prime factorization of 138648772926378714125, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, six hundred forty-eight quadrillion, seven hundred seventy-two trillion, nine hundred twenty-six billion, three hundred seventy-eight million, seven hundred fourteen thousand, one hundred twenty-five.