138356742221816967

Names of 138356742221816967

• Cardinal: 138356742221816967 can be written as One hundred thirty-eight quadrillion, three hundred fifty-six trillion, seven hundred forty-two billion, two hundred twenty-one million, eight hundred sixteen thousand, nine hundred sixty-seven.

Scientific notation

• Scientific notation: 1.38356742221816967 × 10¹⁷

Factors of 138356742221816967

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 628

Divisors of 138356742221816967

• Number of divisors d(n): 180
• Complete list of divisors:
  1 3 9 27 67 81 127 201 381 431 603 1143 1293 1809 3429 3879 4489 5427 8509 10287 11637 13467 16129 25527 28877 34911 40401 48387 54737 76581 86631 121203 145161 164211 185761 229743 259893 363609 435483 492633 557283 570103 689229 779679 1080643 1306449 1477899 1671849 1710309 1934759 2048383 2339037 3241929 3667379 4433697 5015547 5130927 5804277 6145149 6951599 9725787 11002137 12445987 15046641 15392781 17412831 18435447 20854797 23591647 29177361 33006411 37337961 46178343 52238493 55306341 62564391 70774941 72403081 87532083 99019233 112013883 137241661 156715479 165919023 187693173 212324823 217209243 245714393 297057699 336041649 411724983 465757133 563079519 636974469 651627729 737143179 833881129 882853073 1008124947 1235174949 1397271399 1580640349 1910923407 1954883187 2211429537 2501643387 2648559219 2996139169 3705524847 4191814197 4741921047 5864649561 6634288611 7504930161 7945677657 8988417507 9195191287 11116574541 12575442591 14225763141 19902865833 22514790483 23837032971 26965252521 27585573861 31205727911 37726327773 42677289423 59151155891 67544371449 71511098913 80895757563 82756721583 93617183733 105902903383 128031868269 177453467673 200741324323 242687272689 248270164749 280851551199 317708710149 380509674463 532360403019 602223972969 744810494247 842554653597 953126130447 1141529023389 1597081209057 1806671918907 2527663960791 2859378391341 3424587070167 3963127444697 4791243627171 5420015756721 8578135174023 10273761210501 11889382334091 13449668729641 16260047270163 25494148189021 30821283631503 35668147002273 40349006188923 76482444567063 107004441006819 121047018566769 229447333701189 321013323020457 363141055700307 688342001103567 1089423167100921 1708107928664407 2065026003310701 5124323785993221 15372971357979663 46118914073938989 138356742221816967
• Sum of all divisors σ(n): 211968870393181440
• Sum of proper divisors (its aliquot sum) s(n): 73612128171364473
• 138356742221816967 is a deficient number, because the sum of its proper divisors (73612128171364473) is less than itself. Its deficiency is 64744614050452494

Bases of 138356742221816967

• Binary: 111101011100010101011100101011000011010010110010010000111₂
• Hexadecimal: 0x1EB8AB958696487
• Base-36: 11UBDDX1N9FR

Squares and roots of 138356742221816967

• 138356742221816967 squared (138356742221816967²) is 19142588118234309798085794849079089
• 138356742221816967 cubed (138356742221816967³) is 2648506129732960733198800406548737873574984265103063
• The square root of 138356742221816967 is 371963361.3970829883
• The cube root of 138356742221816967 is 517209.8364441729

Scales and comparisons

• 138,356,742,221,816,967 seconds is equal to 4,399,316,437 years, 7 weeks, 5 days, 21 hours, 9 minutes, 27 seconds.
• To count from 1 to 138,356,742,221,816,967 would take you about thirteen billion, one hundred ninety-seven million, nine hundred forty-nine thousand, three hundred eleven 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 138356742221816967 cubic inches would be around 43100.8 feet tall.

Recreational maths with 138356742221816967

• 138356742221816967 backwards is 769618122247653831
• 138356742221816967 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138356742221816967's digits is 81
• More coming soon!