138705683854320384

Names of 138705683854320384

• Cardinal: 138705683854320384 can be written as One hundred thirty-eight quadrillion, seven hundred five trillion, six hundred eighty-three billion, eight hundred fifty-four million, three hundred twenty thousand, three hundred eighty-four.

Scientific notation

• Scientific notation: 1.38705683854320384 × 10¹⁷

Factors of 138705683854320384

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 105196

Divisors of 138705683854320384

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 186 192 204 248 256 272 372 384 408 496 527 544 744 768 816 961 992 1054 1088 1488 1581 1632 1922 1984 2108 2176 2883 2976 3162 3264 3844 3968 4216 4352 5766 5952 6324 6528 7688 7936 8432 11532 11904 12648 13056 15376 16337 16864 23064 23808 25296 30752 32674 33728 46128 49011 50592 61504 65348 67456 92256 98022 101184 105143 123008 130696 134912 184512 196044 202368 210286 246016 261392 315429 369024 392088 404736 420572 522784 630858 738048 784176 841144 1045568 1261716 1568352 1682288 1787431 2091136 2523432 3136704 3259433 3364576 3574862 4182272 5046864 5362293 6273408 6518866 6729152 7149724 9778299 10093728 10724586 12546816 13037732 13458304 14299448 19556598 20187456 21449172 26075464 26916608 28598896 39113196 40374912 42898344 52150928 55410361 57197792 78226392 80749824 85796688 101042423 104301856 110820722 114395584 156452784 166231083 171593376 202084846 208603712 221641444 228791168 303127269 312905568 332462166 343186752 404169692 417207424 443282888 457582336 606254538 625811136 664924332 686373504 808339384 834414848 886565776 1212509076 1251622272 1329848664 1372747008 1616678768 1717721191 1773131552 2425018152 2503244544 2659697328 3233357536 3435442382 3546263104 4850036304 5153163573 5319394656 6466715072 6870884764 7092526208 9700072608 10306327146 10638789312 11055050449 12933430144 13741769528 14185052416 19400145216 20612654292 21277578624 22110100898 25866860288 27483539056 33165151347 38800290432 41225308584 42555157248 44220201796 54967078112 66330302694 77600580864 82450617168 88440403592 109934156224 132660605388 164901234336 176880807184 187935857633 219868312448 265321210776 329802468672 342706563919 353761614368 375871715266 439736624896 530642421552 563807572899 659604937344 685413127838 707523228736 751743430532 1028119691757 1061284843104 1127615145798 1319209874688 1370826255676 1415046457472 1503486861064 2056239383514 2122569686208 2255230291596 2741652511352 2830092914944 3006973722128 4112478767028 4245139372416 4510460583192 5483305022704 5826011586623 6013947444256 8224957534056 8490278744832 9020921166384 10623903481489 10966610045408 11652023173246 12027894888512 16449915068112 17478034759869 18041842332768 21247806962978 21933220090816 23304046346492 24055789777024 31871710444467 32899830136224 34956069519738 36083684665536 42495613925956 43866440181632 46608092692984 48111579554048 63743420888934 65799660272448 69912139039476 72167369331072 84991227851912 87732880363264 93216185385968 127486841777868 131599320544896 139824278078952 144334738662144 169982455703824 180606359185313 186432370771936 254973683555736 263198641089792 279648556157904 339964911407648 361212718370626 372864741543872 509947367111472 541819077555939 559297112315808 679929822815296 722425436741252 745729483087744 1019894734222944 1083638155111878 1118594224631616 1359859645630592 1444850873482504 1491458966175488 2039789468445888 2167276310223756 2237188449263232 2719719291261184 2889701746965008 4079578936891776 4334552620447512 4474376898526464 5779403493930016 8159157873783552 8669105240895024 11558806987860032 17338210481790048 23117613975720064 34676420963580096 46235227951440128 69352841927160192 138705683854320384
• Sum of all divisors σ(n): 403894095585612408
• Sum of proper divisors (its aliquot sum) s(n): 265188411731292024
• 138705683854320384 is an abundant number, because the sum of its proper divisors (265188411731292024) is greater than itself. Its abundance is 126482727876971640

Bases of 138705683854320384

• Binary: 111101100110010000001010110100110011101101110001100000000₂
• Hexadecimal: 0x1ECC815A676E300
• Base-36: 11XR27HO8DMO

Squares and roots of 138705683854320384

• 138705683854320384 squared (138705683854320384²) is 19239266733494674456947862517907456
• 138705683854320384 cubed (138705683854320384³) is 2668595649125055541051203309951142789550352686383104
• The square root of 138705683854320384 is 372432119.7940913151
• The cube root of 138705683854320384 is 517644.2798769841

Scales and comparisons

• 138,705,683,854,320,384 seconds is equal to 4,410,411,701 years, 37 weeks, 2 days, 6 minutes, 24 seconds.
• To count from 1 to 138,705,683,854,320,384 would take you about thirteen billion, two hundred thirty-one million, two hundred thirty-five thousand, one hundred five 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 138705683854320384 cubic inches would be around 43137 feet tall.

Recreational maths with 138705683854320384

• 138705683854320384 backwards is 483023458386507831
• The number of decimal digits it has is: 18
• The sum of 138705683854320384's digits is 78
• More coming soon!