138327358680126

Names of 138327358680126

• Cardinal: 138327358680126 can be written as One hundred thirty-eight trillion, three hundred twenty-seven billion, three hundred fifty-eight million, six hundred eighty thousand, one hundred twenty-six.

Scientific notation

• Scientific notation: 1.38327358680126 × 10¹⁴

Factors of 138327358680126

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 13472

Divisors of 138327358680126

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 121 126 133 154 171 198 209 231 242 266 342 363 399 418 462 627 693 726 798 847 1089 1197 1254 1331 1386 1463 1694 1881 2178 2299 2394 2541 2662 2926 3762 3993 4389 4598 5082 5419 6897 7623 7986 8011 8778 9317 10838 11979 13167 13794 15246 16022 16093 16257 18634 20691 23958 24033 25289 26334 27951 32186 32514 37933 41382 48066 48279 48771 50578 55902 56077 59609 72099 75866 75867 83853 88121 96558 97542 102961 112154 113799 119218 144198 144837 151734 152209 167706 168231 176242 177023 178827 205922 227598 227601 264363 289674 304418 308883 336462 341397 354046 357654 417263 455202 456627 504693 528726 531069 536481 616847 617766 655699 682794 720727 793089 834526 913254 926649 969331 1009386 1062138 1065463 1072962 1132571 1233694 1251789 1311398 1369881 1441454 1586178 1593207 1674299 1850541 1853298 1938662 1967097 2130926 2162181 2265142 2503578 2739762 2907993 3186414 3196389 3348598 3397713 3701082 3755367 3934194 4324362 4589893 5022897 5551623 5815986 5901291 6392778 6486543 6785317 6795426 7212689 7510734 7927997 8723979 9179786 9589167 10045794 10193139 10662641 11103246 11720093 11802582 12458281 12973086 13570634 13769679 14425378 15068691 15855994 17447958 18417289 19178334 20355951 20386278 21325282 21638067 23440186 23783991 24916562 27539358 30137382 31987923 35160279 36834578 37374843 40711902 41309037 43276134 43411609 47567982 50488823 55251867 61067853 63975846 64914201 70320558 71351973 74638487 74749686 82618074 86823218 87207967 95963769 100977646 105480837 110503734 112124529 122135706 128921023 129828402 130234827 137041091 142703946 149276974 151466469 165755601 174415934 191927538 202590179 210961674 223915461 224249058 257842046 260469654 261623901 274082182 302932938 303881263 331511202 386763069 390704481 405180358 411123273 447830922 454399407 477527699 523247802 607762526 607770537 671746383 773526138 781408962 784871703 822246546 824820571 908798814 911643789 955055398 959287637 1160289207 1215541074 1233369819 1343492766 1418131253 1432583097 1569743406 1649641142 1823287578 1823311611 1918575274 2320578414 2466739638 2474461713 2734931367 2836262506 2865166194 2877862911 3342693893 3646623222 4254393759 4297749291 4948923426 5252804689 5469862734 5755725822 5773743997 6685387786 7423385139 8508787518 8595498582 8633588733 9073026281 10028081679 10505609378 11547487994 12763181277 14846770278 15758414067 17267177466 17321231991 18146052562 20056163358 25526362554 27219078843 30084245037 31516828134 34642463982 36769632823 47275242201 51963695973 54438157686 57780851579 60168490074 63511183967 73539265646 81657236529 94550484402 99803289091 103927391946 110308898469 115561703158 127022367934 163314473058 173342554737 190533551901 199606578182 220617796938 299409867273 330926695407 346685109474 381067103802 404465961053 520027664211 571600655703 598819734546 661853390814 698623023637 808931922106 898229601819 1040055328422 1097836180001 1143201311406 1213397883159 1397246047274 1796459203638 2095869070911 2195672360002 2426795766318 3293508540003 3640193649477 4191738141822 6287607212733 6587017080006 7280387298954 7684853260007 9880525620009 12575214425466 15369706520014 19761051240018 23054559780021 46109119560042 69163679340063 138327358680126
• Sum of all divisors σ(n): 396703373414400
• Sum of proper divisors (its aliquot sum) s(n): 258376014734274
• 138327358680126 is an abundant number, because the sum of its proper divisors (258376014734274) is greater than itself. Its abundance is 120048656054148

Bases of 138327358680126

• Binary: 11111011100111011011001000100111010110000111110₂
• Hexadecimal: 0x7DCED913AC3E
• Base-36: 1D16PLUNNI

Squares and roots of 138327358680126

• 138327358680126 squared (138327358680126²) is 19134458159420229836787375876
• 138327358680126 cubed (138327358680126³) is 2646819056967985695209412150654866413040376
• The square root of 138327358680126 is 11761265.1819490065
• The cube root of 138327358680126 is 51717.3219669957

Scales and comparisons

• 138,327,358,680,126 seconds is equal to 4,398,382 years, 6 weeks, 5 days, 20 hours, 2 minutes, 6 seconds.
• To count from 1 to 138,327,358,680,126 would take you about ten million, nine hundred ninety-five thousand, nine hundred fifty-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 138327358680126 cubic inches would be around 4309.8 feet tall.

Recreational maths with 138327358680126

• 138327358680126 backwards is 621086853723831
• 138327358680126 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138327358680126's digits is 63
• More coming soon!