138183028800201
138,183,028,800,201 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138183028800201 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138183028800201 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138183028800201:
35 × 72 × 113 × 312 × 43 × 211
(3 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 11 × 31 × 31 × 43 × 211)See below for interesting mathematical facts about the number 138183028800201 from the Numbermatics database.
Names of 138183028800201
- Cardinal: 138183028800201 can be written as One hundred thirty-eight trillion, one hundred eighty-three billion, twenty-eight million, eight hundred thousand, two hundred one.
Scientific notation
- Scientific notation: 1.38183028800201 × 1014
Factors of 138183028800201
Divisors of 138183028800201
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 7 9 11 21 27 31 33 43 49 63 77 81 93 99 121 129 147 189 211 217 231 243 279 297 301 341 363 387 441 473 539 567 633 651 693 837 847 891 903 961 1023 1089 1161 1323 1331 1333 1419 1477 1519 1617 1701 1899 1953 2079 2107 2321 2387 2511 2541 2673 2709 2883 3069 3267 3311 3483 3751 3969 3993 3999 4257 4431 4557 4851 5203 5697 5859 5929 6237 6321 6541 6727 6963 7161 7533 7623 8127 8649 9073 9207 9317 9331 9801 9933 10339 10449 10571 11253 11907 11979 11997 12771 13293 13671 14553 14663 15609 16247 16709 17091 17577 17787 18711 18963 19623 20181 20889 21483 22869 23177 24381 25531 25947 26257 27219 27621 27951 27993 29403 29799 31017 31713 33759 35937 35991 36421 38313 39879 41013 41261 41323 43659 43989 45787 46827 47089 48741 50127 51273 52731 53361 56889 57233 58869 60543 62667 63511 64449 65219 65317 68607 69531 71951 73143 73997 76593 77841 78771 81657 82863 83853 83979 89397 93051 95139 99803 101277 102641 107811 107973 109263 113729 114939 116281 119637 123039 123783 123969 130977 131967 137361 140481 141267 146223 150381 160083 161293 170667 171699 176607 178717 181629 183799 188001 190533 193347 195657 195951 202771 205821 208593 215853 221991 229779 233523 236313 244971 251559 251937 254947 268191 279153 280841 281263 285417 288827 289261 299409 303831 307923 320509 323433 323919 327789 341187 348843 358911 369117 371349 371907 395901 400631 412083 421443 423801 438669 444577 451143 454553 480249 483879 503657 512001 515097 517979 529821 536151 544887 551397 564003 571599 580041 586971 587853 608313 625779 647559 665973 689337 698621 708939 718487 734913 754677 755811 764841 791461 804573 813967 837459 842523 843789 856251 866481 867783 898227 911493 923769 961527 983367 1023561 1046529 1097833 1114047 1115721 1129051 1187703 1201893 1236249 1251019 1264329 1271403 1279091 1316007 1333731 1353429 1363659 1419397 1440747 1451637 1510971 1545291 1553937 1589463 1608453 1634661 1654191 1714797 1760913 1763559 1774223 1824939 1877337 1942677 1965887 1968841 1997919 2021789 2024827 2068011 2095863 2126817 2155461 2204739 2230481 2264031 2267433 2294523 2374383 2441901 2512377 2527569 2531367 2568753 2599443 2603349 2694681 2771307 2804417 2884581 2950101 3070683 3093893 3139587 3181871 3293499 3342141 3347163 3387153 3525599 3563109 3605679 3708747 3753057 3814209 3837273 3948021 4001193 4060287 4090977 4258191 4354911 4532913 4635873 4661811 4825359 4890347 4962573 5000083 5144391 5282739 5290677 5322669 5474817 5540227 5632011 5697769 5828031 5897661 5906523 5993757 6065367 6074481 6204033 6287589 6380451 6466383 6691443 6883569 7123149 7325703 7582707 7594101 7684831 7798329 7810047 7903357 8084043 8313921 8413251 8653743 8706071 8719153 8850303 8953637 9212049 9281679 9418761 9545613 9880497 9935779 10026423 10041489 10161459 10576797 10817037 11126241 11259171 11442627 11511819 12003579 12076163 12272931 12419561 12774573 13064733 13598739 13761209 13781887 13907619 13985433 14476077 14671041 14887719 15000249 15433173 15613367 15848217 15872031 15968007 16424451 16620681 17093307 17484093 17692983 17719569 17981271 18196101 18223443 18862767 19399149 20074329 20650707 21369447 21657251 21977109 22273097 22748121 22782303 23054493 23394987 23430141 23710071 24252129 24535291 24941763 25239753 25961229 26118213 26157459 26860911 27636147 27845037 28256283 28636839 29641491 29807337 30484377 31730391 32451111 33777513 34032823 34535457 35000581 36010737 36228489 36818793 37258683 38323719 38781589 39194199 40796217 41283627 41345661 41956299 43428231 44013123 44663157 45000747 46840101 47904021 49273353 49862043 51279921 53078949 53158707 53793817 54588303 54670329 55000913 56588301 58197447 60222987 60942497 61034071 61952121 62675459 64108341 64971753 65931327 66819291 68244363 68346909 69163479 70184961 70290423 71130213 73605873 75719259 77883687 78354639 78472377 80582733 83535111 84533141 85910517 86936927 88924473 89422011 91453131 95191173 95910683 97353333 101332539 102098469 103606371 105001743 108032211 108685467 109293569 110456379 111776049 114971157 116344767 122388651 123850881 124036983 125868897 132039369 135002241 140520303 143712063 149586129 151600757 153839763 159236847 159476121 161381451 163764909 164010987 165002739 169764903 171747037 174592341 180668961 182827491 183102213 188026377 192325023 194915259 197793981 200457873 207490437 213390639 220817619 227157777 235063917 235417131 238229761 241748199 245004067 250605333 253599423 257731551 260810781 266773419 268266033 269888201 274359393 285573519 287732049 303997617 306295407 310819113 315005229 326056401 327880707 335328147 344913471 349034301 371552643 372110949 374361053 385006391 396118107 405006723 421560909 426597479 427238497 431136189 448758387 454802271 461519289 477710541 478428363 484144353 491294727 492032961 495008217 515241111 542006883 548482473 549306639 564079131 584745777 591731987 601373619 622471311 640171917 662452857 671374781 681473331 705191751 706251393 714689283 725244597 735012201 751815999 760798269 773194653 782432343 804798099 809664603 856720557 863196147 918886221 945015687 978169203 983642121 1005984441 1047102903 1055017513 1114657929 1116332847 1123083159 1155019173 1188354321 1202229259 1215020169 1264682727 1279792437 1281715491 1346275161 1364406813 1384557867 1452433059 1485024651 1545723333 1645447419 1647919917 1667608327 1692237393 1754237331 1775195961 1804120857 1867413933 1889217407 1920515751 1987358571 2014124343 2115575253 2118754179 2144067849 2175733791 2205036603 2282394807 2347297029 2414394297 2428993809 2589588441 2620527371 2695044737 2756658663 2835047061 2934507609 2950926363 3017953323 3141308709 3165052539 3343973787 3348998541 3369249477 3465057519 3606687777 3794048181 3839377311 3845146473 4093220439 4357299177 4455073953 4637169999 4699623467 4936342257 4943759751 5002824981 5076712179 5262711993 5325587883 5412362571 5667652221 5962075713 6042373029 6432203547 6615109809 6847184421 7041891087 7286981427 7385122591 7768765323 7861582113 8085134211 8269975989 8505141183 8852779089 9423926127 9495157617 10107748431 10395172557 10820063331 11518131933 11535439419 11605192643 12279661317 13071897531 13224521849 13365221859 13911509997 14098870401 14809026771 14831279253 15008474943 15230136537 15976763649 17002956663 18127119087 18343691597 19296610641 19845329427 20541553263 21125673261 21860944281 22155367773 23306295969 23584746339 24255402633 26558337267 28485472851 30323245293 31185517671 32460189993 34554395799 34606318257 34815577929 36838983951 39673565547 41734529991 42296611203 45025424829 47930290947 51008869989 51695858137 54381357261 55031074791 57889831923 59535988281 65582832843 66466103319 70754239017 72766207899 81236348501 85456418553 90969735879 93556553013 97380569979 103663187397 103818954771 104446733787 119020696641 126889833609 135076274487 143790872841 153026609967 155087574411 163144071783 165093224373 199398309957 212262717051 218298623697 243709045503 256369255659 292141709937 313340201361 357062089923 380669500827 405228823461 459079829901 465262723233 495279673119 568654439507 598194929871 636788151153 654895871091 731127136509 940020604083 1071186269769 1142008502481 1395788169699 1485839019357 1705963318521 1794584789613 2193381409527 2820061812249 3213558809307 4187364509097 4457517058071 5117889955563 6580144228581 12562093527291 15353669866689 19740432685743 46061009600067 138183028800201
- Sum of all divisors σ(n): 281355300914688
- Sum of proper divisors (its aliquot sum) s(n): 143172272114487
- 138183028800201 is an abundant number, because the sum of its proper divisors (143172272114487) is greater than itself. Its abundance is 4989243314286
Bases of 138183028800201
- Binary: 111110110101101001111100101100001111010110010012
- Hexadecimal: 0x7DAD3E587AC9
- Base-36: 1CZCENKFK9
Squares and roots of 138183028800201
- 138183028800201 squared (1381830288002012) is 19094549448397179017577640401
- 138183028800201 cubed (1381830288002013) is 2638542676354729506463814622749959654520601
-
The
square root of 138183028800201 is 11755127.7662218967 -
The
cube root of 138183028800201 is 51699.3285333193
Scales and comparisons
How big is 138183028800201?- 138,183,028,800,201 seconds is equal to 4,393,792 years, 46 weeks, 1 day, 2 hours, 43 minutes, 21 seconds.
-
To count from 1 to 138,183,028,800,201 would take you about ten million, nine hundred eighty-four thousand, four hundred eighty-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 138183028800201 cubic inches would be around 4308.3 feet tall.
Recreational maths with 138183028800201
- 138183028800201 backwards is 102008820381831
- The number of decimal digits it has is: 15
- The sum of 138183028800201's digits is 45
- 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 138183028800201 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 138183028800201 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138183028800201/
Chicago style:
Numbermatics. 2024. "Number 138183028800201 - Facts about the integer". https://numbermatics.com/n/138183028800201/
The information we have on file for 138183028800201 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 138183028800201, math, Factors of 138183028800201, curriculum, school, college, exams, university, Prime factorization of 138183028800201, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred eighty-three billion, twenty-eight million, eight hundred thousand, two hundred one.