138325265626936815

Names of 138325265626936815

• Cardinal: 138325265626936815 can be written as One hundred thirty-eight quadrillion, three hundred twenty-five trillion, two hundred sixty-five billion, six hundred twenty-six million, nine hundred thirty-six thousand, eight hundred fifteen.

Scientific notation

• Scientific notation: 1.38325265626936815 × 10¹⁷

Factors of 138325265626936815

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 65060742

Divisors of 138325265626936815

• Number of divisors d(n): 160
• Complete list of divisors:
  1 3 5 7 9 15 21 27 35 45 53 63 81 105 135 159 189 265 315 371 405 477 567 795 945 1113 1431 1855 2385 2835 3339 4293 5565 7155 10017 14153 16695 21465 30051 42459 50085 70765 99071 127377 150255 212295 297213 382131 495355 636885 750109 891639 1146393 1486065 1910655 2250327 2674917 3750545 4458195 5250763 5731965 6750981 8024751 11251635 13374585 15752289 20252943 26253815 33754905 40123755 47256867 60758829 65046521 78761445 101264715 141770601 195139563 236284335 303794145 325232605 425311803 455325647 585418689 708853005 975697815 1365976941 1756256067 2126559015 2276628235 2927093445 3447465613 4097930823 5268768201 6829884705 8781280335 10342396839 12293792469 17237328065 20489654115 24132259291 26343841005 31027190517 36881377407 51711984195 61468962345 72396777873 93081571551 120661296455 155135952585 184406887035 217190333619 279244714653 361983889365 465407857755 651571000857 920603411713 1085951668095 1396223573265 1954713002571 2761810235139 3257855004285 4603017058565 6444223881991 8285430705417 9773565012855 13809051175695 19332671645973 24856292116251 32221119409955 41427153527085 48791980820789 57998014937919 74568876348753 96663358229865 124281460581255 146375942462367 173994044813757 243959904103945 289990074689595 341543865745523 372844381743765 439127827387101 521982134441271 731879712311835 869970224068785 1024631597236569 1317383482161303 1707719328727615 2195639136935505 2609910672206355 3073894791709707 3952150446483909 5123157986182845 6586917410806515 9221684375129121 15369473958548535 19760752232419545 27665053125387363 46108421875645605 138325265626936815
• Sum of all divisors σ(n): 288751094331993216
• Sum of proper divisors (its aliquot sum) s(n): 150425828705056401
• 138325265626936815 is an abundant number, because the sum of its proper divisors (150425828705056401) is greater than itself. Its abundance is 12100563078119586

Bases of 138325265626936815

• Binary: 111101011011011100001100010100001001001111011010111101111₂
• Hexadecimal: 0x1EB6E18A127B5EF
• Base-36: 11U07PRPR7XR

Squares and roots of 138325265626936815

• 138325265626936815 squared (138325265626936815²) is 19133879110762627539311720002344225
• 138325265626936815 cubed (138325265626936815³) is 2646698910469938034768145517457442574786105955143375
• The square root of 138325265626936815 is 371921047.5718426117
• The cube root of 138325265626936815 is 517170.6111801477

Scales and comparisons

• 138,325,265,626,936,815 seconds is equal to 4,398,315,578 years, 41 weeks, 3 days, 3 hours, 20 minutes, 15 seconds.
• To count from 1 to 138,325,265,626,936,815 would take you about thirteen billion, one hundred ninety-four million, nine hundred forty-six thousand, seven hundred thirty-six 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 138325265626936815 cubic inches would be around 43097.6 feet tall.

Recreational maths with 138325265626936815

• 138325265626936815 backwards is 518639626562523831
• 138325265626936815 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138325265626936815's digits is 81
• More coming soon!