138207493958409225
138,207,493,958,409,225 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138207493958409225 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 945 divisors.
138207493958409225 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred forty-five divisors.
Prime factorization of 138207493958409225:
34 × 52 × 72 × 236 × 972
(3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 23 × 23 × 23 × 23 × 23 × 23 × 97 × 97)See below for interesting mathematical facts about the number 138207493958409225 from the Numbermatics database.
Names of 138207493958409225
- Cardinal: 138207493958409225 can be written as One hundred thirty-eight quadrillion, two hundred seven trillion, four hundred ninety-three billion, nine hundred fifty-eight million, four hundred nine thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.38207493958409225 × 1017
Factors of 138207493958409225
Divisors of 138207493958409225
- Number of divisors d(n): 945
-
Complete list of divisors:
1 3 5 7 9 15 21 23 25 27 35 45 49 63 69 75 81 97 105 115 135 147 161 175 189 207 225 245 291 315 345 405 441 483 485 525 529 567 575 621 675 679 735 805 873 945 1035 1127 1225 1323 1449 1455 1575 1587 1725 1863 2025 2037 2205 2231 2415 2425 2619 2645 2835 3105 3381 3395 3675 3703 3969 4025 4347 4365 4725 4753 4761 5175 5635 6111 6615 6693 7245 7275 7857 7935 9315 9409 10143 10185 11025 11109 11155 12075 12167 13041 13095 13225 14175 14259 14283 15525 15617 16905 16975 18333 18515 19845 20079 21735 21825 23765 23805 25921 28175 28227 30429 30555 33075 33327 33465 36225 36501 39285 39675 42777 42849 46575 46851 47045 50715 50925 51313 54999 55545 55775 60237 60835 65205 65475 65863 71295 71415 77763 78085 84525 84681 85169 91287 91665 92575 99225 99981 100395 108675 109319 109503 118825 119025 128331 129605 140553 141135 152145 152775 153939 166635 167325 180711 182505 196425 197589 213885 214245 216407 233289 234255 235225 253575 254043 255507 256565 274995 277725 279841 299943 301185 304175 326025 327957 328509 329315 356475 357075 359191 384993 388815 390425 421659 423405 425845 456435 458325 461041 461817 499905 501975 546595 547515 592767 596183 641655 648025 649221 699867 702765 705675 760725 762129 766521 769695 833175 839523 903555 912525 983871 985527 987945 1069425 1071225 1077573 1082035 1166445 1171275 1180199 1264977 1270215 1277535 1282825 1374975 1383123 1385451 1399205 1499715 1505925 1514849 1639785 1642545 1646575 1778301 1788549 1795955 1924965 1944075 1947663 1958887 2099601 2108295 2117025 2129225 2282175 2299563 2305205 2309085 2499525 2514337 2518569 2732975 2737575 2951613 2963835 2980915 3208275 3232719 3246105 3499335 3513825 3540597 3810645 3832605 3848475 4149369 4156353 4197615 4517775 4544547 4919355 4927635 4939725 4977361 5334903 5365647 5387865 5410175 5832225 5842989 5876661 5900995 6324885 6351075 6387675 6436343 6898689 6915615 6927255 6996025 7498575 7543011 7555707 7574245 8198925 8212725 8261393 8854839 8891505 8942745 8979775 9624825 9698157 9738315 9794435 10498005 10541475 10603943 10621791 11497815 11526025 11545425 12448107 12571685 12592845 13633641 13712209 14758065 14819175 14904575 14932083 16096941 16163595 16230525 17496675 17528967 17629983 17702985 19053225 19163025 19309029 20746845 20781765 20988075 22629033 22667121 22722735 24596775 24638175 24784179 24886805 26674515 26828235 26939325 27144577 29094471 29214945 29383305 29504975 31624425 31811829 31865373 32181715 34493445 34578075 34636275 34841527 37344321 37715055 37778535 37871225 40900923 41136627 41306965 44274195 44457525 44713725 44796249 45054401 48290823 48490785 48691575 48972175 52490025 52889949 53019715 53108955 57489075 57829751 57927087 62240535 62858425 62964225 67887099 68168205 68561045 73790325 74352537 74660415 80484705 80817975 81433731 87644835 88149915 88514925 95435487 95596119 96545145 103734225 103908825 104524581 113145165 113335605 113613675 114479303 122702769 123409881 123920895 124434025 133372575 134141175 134388747 135163203 135722885 145472355 146074725 146916525 148035889 158669847 159059145 159326865 160908575 172467225 173489253 173781261 174207635 186721605 188575275 188892675 190012039 203661297 204504615 205683135 206534825 221370975 223057611 223981245 225272005 241454115 242453925 243890689 244301193 264449745 265098575 265544775 286306461 289148755 289635435 311202675 313573743 315380807 339435495 340841025 342805225 343437909 370229643 371762685 373302075 402423525 403166241 405489609 407168655 438224175 440749575 444107667 477177435 477980595 482725725 520467759 521343783 522622905 565725825 566678025 570036117 572396515 613513845 617049405 619604475 624325271 669172833 671943735 675816015 678614425 727361775 731672067 732903579 740179445 793349235 795295725 796634325 801355121 858919383 867446265 868906305 871038175 933608025 940721229 946142421 950060195 1018306485 1022523075 1028415675 1030313727 1036251223 1110688929 1115288055 1119906225 1126360025 1207270575 1216468827 1219453445 1221505965 1322248725 1330084273 1332323001 1431532305 1445743775 1448177175 1561403277 1567868715 1576904035 1697177475 1710108351 1717189545 1851148215 1858813425 1872975813 2015831205 2027448045 2035843275 2195016201 2198710737 2220538335 2385887175 2389902975 2404065363 2602338795 2606718915 2613114525 2633023969 2822163687 2838427263 2850180585 2861982575 3067569225 3085247025 3090941181 3108753669 3121626355 3345864165 3359718675 3379080075 3649406481 3658360335 3664517895 3700897225 3966746175 3990252819 3996969003 4006775605 4294596915 4337231325 4344531525 4370276897 4684209831 4703606145 4730712105 4750300975 5091532425 5130325053 5151568635 5181256115 5553444645 5576440275 5609485847 5618927439 6082344135 6097267225 6107529825 6585048603 6650421365 6661615005 7157661525 7212196089 7253758561 7807016385 7839343575 7884520175 7899071907 8515281789 8550541755 8585947725 9255741075 9272823543 9326261007 9364879065 10079156025 10137240225 10975081005 10993553685 11102691675 11970758457 11990907009 12020326815 13011693975 13033594575 13110830691 13165119845 14110818435 14192136315 14250902925 14359481233 15390975159 15454705905 15543768345 15608131775 16729320825 16828457541 16856782317 18247032405 18291801675 18322589475 18431167783 19755145809 19951264095 19984845015 20033878025 21472984575 21636588267 21761275683 21851384485 23421049155 23518030725 23653560525 23697215721 25545845367 25651625265 25757843175 25906280575 27767223225 27978783021 28047429235 28094637195 30411720675 30591938279 32925243015 33252106825 33308075025 35912275371 36060980445 36268792805 39035081925 39332492073 39495359535 42576408945 42752708775 43078443699 46364117715 46631305035 46824395325 50485372623 50570346951 54875405025 54967768425 55293503349 59853792285 59954535045 60101634075 60559551287 64909764801 65283827049 65554153455 65825599225 70554092175 70960681575 71091647163 71797406165 76954875795 77273529525 77718841725 83936349063 84142287705 84283911585 91235162025 91775814837 92155838915 98775729045 99756320475 99924225075 100516368631 107736826113 108182941335 108806378415 109256922425 117105245775 117997476219 118486078605 127729226835 128258126325 129018174481 129235331097 139893915105 140237146175 140473185975 151456117869 152959691395 164626215075 165880510047 179561376855 180304902225 181343964025 181678653861 195851481147 196662460365 197476797675 212882044725 213274941489 215392218495 231820588575 233156525175 252426863115 252851734755 275327444511 276467516745 299268961425 299772675225 301549105893 302797756435 324548824005 326419135245 327770767275 353992428657 355458235815 358987030825 384774378975 387054523443 387705993291 419681745315 420711438525 421419557925 423916859009 454368353607 458879074185 460779194575 493878645225 497641530141 502581843155 538684130565 540914706675 544031892075 545035961583 587554443441 589987381095 592430393025 638646134175 645090872405 646176655485 699469575525 703614580417 757280589345 764798456975 825982333533 829402550235 897806884275 904647317679 908393269305 979257405735 983312301825 1066374707445 1076961092475 1161163570329 1163117979873 1262134315575 1264258673775 1271750577027 1376637222555 1382337583725 1392869679601 1492924590423 1507745529465 1513988782175 1622744120025 1632095676225 1635107884749 1769962143285 1777291179075 1935272617215 1938529966455 2098408726575 2110843741251 2119584295045 2271841768035 2294395370925 2477947000599 2488207650705 2512909215775 2693420652825 2713941953037 2725179807915 2937772217205 2949936905475 2967418013063 3225454362025 3230883277425 3483490710987 3518072902085 3786402946725 3815251731081 4129911667665 4147012751175 4178609038803 4523236588395 4541966346525 4896287028675 4905323654247 5331873537225 5805817851645 5815589899365 6332531223753 6358752885135 6883186112775 6964348398005 7464622952115 7538727647325 8141825859111 8175539423745 8849810716425 8902254039189 9676363086075 9692649832275 9750087757207 10450472132961 10554218706255 10597921475225 11359208840175 11445755193243 12389735002995 12441038253525 12535827116409 13569709765185 13625899039575 14688861086025 14837090065315 17417453554935 17590364510425 18997593671259 19076258655405 20649558338325 20893045194015 22616182941975 24526618271235 26706762117567 29029089258225 29077949496825 29250263271621 31662656118765 31793764425675 34337265579729 34821741990025 37323114760575 37607481349227 40709129295555 40877697118725 44511270195945 48750438786035 52252360664805 52771093531275 56992781013777 57228775966215 61948675014975 62679135582045 67848548825925 68250614300449 74185450326575 80120286352701 87087267774675 87750789814863 94987968356295 95381293277025 104465225970075 112822444047681 122633091356175 133533810587835 146251316358105 158313280593825 171686327898645 188037406746135 203545646477775 204751842901347 222556350979725 240360859058103 243752193930175 261261803324025 263252369444589 284963905068885 286143879831075 313395677910225 341253071502245 400601431763505 438753949074315 474939841781475 564112220238405 614255528704041 667669052939175 731256581790525 789757108333767 858431639493225 940187033730675 1023759214506735 1201804295290515 1316261847222945 1424819525344425 1706265357511225 1842766586112123 2003007158817525 2193769745371575 2820561101192025 3071277643520205 3948785541668835 5118796072533675 5528299758336369 6009021476452575 6581309236114725 9213832930560615 15356388217601025 19743927708344175 27641498791681845 46069164652803075 138207493958409225
- Sum of all divisors σ(n): 314584691493713157
- Sum of proper divisors (its aliquot sum) s(n): 176377197535303932
- 138207493958409225 is an abundant number, because the sum of its proper divisors (176377197535303932) is greater than itself. Its abundance is 38169703576894707
Bases of 138207493958409225
- Binary: 1111010110000001011111011110001101011000000011100000010012
- Hexadecimal: 0x1EB02FBC6B01C09
- Base-36: 11SUGU7N37K9
Squares and roots of 138207493958409225
- 138207493958409225 squared (1382074939584092252) is 19101311386263722429194092565100625
- 138207493958409225 cubed (1382074939584092253) is 2639944378014736755979475402811524303879477053265625
-
138207493958409225 is a
perfect square number . Itssquare root is 371762685 -
The
cube root of 138207493958409225 is 517023.7945697331
Scales and comparisons
How big is 138207493958409225?- 138,207,493,958,409,225 seconds is equal to 4,394,570,804 years, 1 week, 3 days, 18 hours, 33 minutes, 45 seconds.
-
To count from 1 to 138,207,493,958,409,225 would take you about thirteen billion, one hundred eighty-three million, seven hundred twelve thousand, four hundred twelve 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 138207493958409225 cubic inches would be around 43085.3 feet tall.
Recreational maths with 138207493958409225
- 138207493958409225 backwards is 522904859394702831
- 138207493958409225 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138207493958409225's digits is 81
- More coming soon!
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The information we have on file for 138207493958409225 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 138207493958409225, math, Factors of 138207493958409225, curriculum, school, college, exams, university, Prime factorization of 138207493958409225, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred seven trillion, four hundred ninety-three billion, nine hundred fifty-eight million, four hundred nine thousand, two hundred twenty-five.