138329910606693991743999
138,329,910,606,693,991,743,999 is an odd composite number composed of eight prime numbers multiplied together.
What does the number 138329910606693991743999 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 384 divisors.
138329910606693991743999 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138329910606693991743999:
32 × 7 × 19 × 23 × 103 × 383 × 84163 × 1513341367
(3 × 3 × 7 × 19 × 23 × 103 × 383 × 84163 × 1513341367)See below for interesting mathematical facts about the number 138329910606693991743999 from the Numbermatics database.
Names of 138329910606693991743999
- Cardinal: 138329910606693991743999 can be written as One hundred thirty-eight sextillion, three hundred twenty-nine quintillion, nine hundred ten quadrillion, six hundred six trillion, six hundred ninety-three billion, nine hundred ninety-one million, seven hundred forty-three thousand, nine hundred ninety-nine.
Scientific notation
- Scientific notation: 1.38329910606693991743999 × 1023
Factors of 138329910606693991743999
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 1513426068
Divisors of 138329910606693991743999
- Number of divisors d(n): 384
-
Complete list of divisors:
1 3 7 9 19 21 23 57 63 69 103 133 161 171 207 309 383 399 437 483 721 927 1149 1197 1311 1449 1957 2163 2369 2681 3059 3447 3933 5871 6489 7107 7277 8043 8809 9177 13699 16583 17613 21321 21831 24129 26427 27531 39449 41097 45011 49749 50939 61663 65493 79281 84163 118347 123291 135033 149247 152817 167371 184989 252489 276143 315077 355041 405099 458451 502113 554967 589141 749531 757467 828429 907327 945231 1171597 1506339 1599097 1767423 1935749 2248593 2485287 2721981 2835693 3514791 4797291 5246717 5302269 5807247 6351289 6745779 8165943 8668789 10544373 11193679 13550243 14391873 15740151 17239213 17421741 19053867 26006367 32234429 33581037 36779231 40650729 47220453 51717639 57161601 60681523 78019101 96703287 100743111 110337693 120674491 121952187 155152917 164706991 182044569 199382147 225641003 257454617 290109861 331013079 362023473 494120973 546133707 598146441 612454151 676923009 741391867 772363851 1086070419 1152948937 1395675029 1482362919 1513341367 1794439323 1837362453 2030769027 2224175601 2317091553 3320146187 3458846811 3788260793 4187025087 4287179057 4540024101 5189743069 5512087359 6672526803 9960438561 10376540433 10593389569 11364782379 12561075261 12861537171 13620072303 14086445473 15569229207 23241023309 26517825551 28753485973 29881315683 31780168707 34094347137 34806851441 38584611513 42259336419 46707687621 63082777553 69723069927 76363362301 79553476653 86260457919 95340506121 98605118311 104420554323 126778009257 155874160801 189248332659 201274401811 209169209781 229090086903 238660429959 243647960087 258781373757 295815354933 313261662969 441579442871 467622482403 534543536107 567744997977 579609743561 603823205433 661330177379 687270260709 730943880261 887446064799 1091119125607 1324738328613 1402867447209 1450903883719 1603630608321 1738829230683 1811469616299 1983990532137 2192831640783 2961609055219 3273357376821 3585105698423 3974214985839 4057268204927 4352711651157 4629311241653 4810891824963 5216487692049 5951971596411 8884827165657 9820072130463 10156327186033 10755317095269 11012585127659 12171804614781 13058134953471 13331024101903 13887933724959 20731263386533 25095739888961 26654481496971 30468981558099 32265951285807 33037755382977 36515413844343 39993072305709 41663801174877 59699803586783 62193790159599 68117008270037 75287219666883 77088095893613 91406944674297 93317168713321 99113266148931 119979216917127 127367349470821 179099410760349 186581370478797 204351024810111 225861659000649 231264287680839 253289457936157 279951506139963 382102048412463 417898625107481 476819057890259 537298232281047 613053074430333 693792863042517 759868373808471 839854518419889 891571446295747 1134296268148877 1146306145237389 1253695875322443 1373095482496009 1430457173670777 1773026205553099 2279605121425413 2419979639945599 2674714338887241 2929449037828883 3402888804446631 3761087625967329 4119286447488027 4291371521012331 5319078616659297 7259938919836797 7940073877042139 8024143016661723 8788347113486649 9611668377472063 10208666413339893 12357859342464081 13118836995494563 15957235849977891 16939857479619193 20506143264802181 21779816759510391 23820221631126417 26088814167424171 26365041340459947 28835005132416189 39356510986483689 48781694847324443 50819572438857579 55659531718748777 61518429794406543 71460664893379251 78266442502272513 86505015397248567 91831858968461941 118069532959451067 146345084541973329 152458717316572737 166978595156246331 182621699171969197 184555289383219629 234799327506817539 249257902914396697 275495576905385823 301733250896374949 341471863931271101 389616722031241439 439035253625919987 500935785468738993 547865097515907591 747773708743190091 826486730716157469 905199752689124847 926852202099164417 1024415591793813303 1121978981488462189 1168850166093724317 1643595292547722773 1744805320400776879 2112132756274624643 2243321126229570273 2715599258067374541 2780556606297493251 3073246775381439909 3365936944465386567 3506550498281172951 5024514569274417629 5234415961202330637 5732931767031124031 6336398268823873929 6487965414694150919 7853852870419235323 8341669818892479753 10097810833396159701 15073543707823252887 15703247883606991911 17198795301093372093 19009194806471621787 19463896244082452757 21317600648280781591 23561558611257705969 35171601984920923403 40130522369217868217 45220631123469758661 51596385903280116279 58391688732247358271 63952801944842344773 70684675833773117907 95465776816213934951 105514805954762770209 115563835093311605467 120391567107653604651 149223204537965471137 191858405834527034319 286397330448641804853 316544417864288310627 346691505279934816401 361174701322960813953 447669613613896413411 668260437713497544657 808946845653181238269 859191991345925414559 1040074515839804449203 1343008840841689240233 2004781313140492633971 2195712866772920503873 2426840536959543714807 6014343939421477901913 6587138600318761511619 7280521610878631144421 15369990067410443527111 19761415800956284534857 46109970202231330581333 138329910606693991743999
- Sum of all divisors σ(n): 253923217198745376522240
- Sum of proper divisors (its aliquot sum) s(n): 115593306592051384778241
- 138329910606693991743999 is a deficient number, because the sum of its proper divisors (115593306592051384778241) is less than itself. Its deficiency is 22736604014642606965758
Bases of 138329910606693991743999
- Binary: 111010100101011100001001001011001100110000010110011110011110010000001111111112
- Hexadecimal: 0x1D4AE1259982CF3C81FF
- Base-36: MIXHT5WIBJ0BG1R
Squares and roots of 138329910606693991743999
- 138329910606693991743999 squared (1383299106066939917439992) is 19135164168455950919053849038447526773552512001
- 138329910606693991743999 cubed (1383299106066939917439993) is 2646965548866925661634416399589989563180496458454098135958381367231999
-
The
square root of 138329910606693991743999 is 371927292097.1167339539 -
The
cube root of 138329910606693991743999 is 51717639.9999999989
Scales and comparisons
How big is 138329910606693991743999?- 138,329,910,606,693,991,743,999 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,329,910,606,693,991,743,999 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 138329910606693991743999 cubic inches would be around 4309803.3 feet tall.
Recreational maths with 138329910606693991743999
- 138329910606693991743999 backwards is 999347199396606019923831
- The number of decimal digits it has is: 24
- The sum of 138329910606693991743999's digits is 126
- More coming soon!
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The information we have on file for 138329910606693991743999 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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