138967984301284125

Names of 138967984301284125

• Cardinal: 138967984301284125 can be written as One hundred thirty-eight quadrillion, nine hundred sixty-seven trillion, nine hundred eighty-four billion, three hundred one million, two hundred eighty-four thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 1.38967984301284125 × 10¹⁷

Factors of 138967984301284125

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 25646481

Divisors of 138967984301284125

• Number of divisors d(n): 384
• Complete list of divisors:
  1 3 5 9 13 15 23 25 39 45 65 69 75 89 115 117 125 181 195 207 225 267 299 325 345 375 445 543 575 585 801 897 905 975 1035 1125 1157 1335 1495 1625 1629 1725 2047 2225 2353 2691 2715 2875 2925 3471 4005 4163 4485 4525 4875 5175 5785 6141 6675 7059 7475 8145 8625 10235 10413 11125 11765 12489 13455 13575 14625 16109 17355 18423 20025 20815 21177 22425 22625 25875 26611 28925 30705 33375 35295 37375 37467 40725 48327 51175 52065 54119 58825 62445 67275 67875 79833 80545 86775 92115 100125 104075 105885 112125 133055 144625 144981 153525 162357 176475 187335 203625 209417 239499 241635 255875 260325 270595 294125 312225 336375 370507 399165 402725 433875 460575 487071 520375 529425 628251 665275 724905 767625 811785 882375 936675 1047085 1111521 1197495 1208175 1301625 1352975 1561125 1852535 1884753 1995825 2013625 2302875 2435355 2647125 3141255 3326375 3334563 3624525 4058925 4683375 4816591 5235425 5557605 5987475 6040875 6764875 9262675 9423765 9979125 12176775 14449773 15706275 16672815 18122625 20294625 24082955 25646167 26177125 27788025 29937375 43349319 46313375 47118825 60883875 72248865 76938501 78531375 83364075 120414775 128230835 138940125 216746595 230815503 235594125 333400171 361244325 384692505 416820375 589861841 602073875 641154175 1000200513 1083732975 1154077515 1667000855 1769585523 1806221625 1923462525 2282508863 2949309205 3000601539 3205770875 4641956227 5001002565 5308756569 5418664875 5770387575 6847526589 7668203933 8335004275 8847927615 9617312625 11412544315 13925868681 14746546025 15003007695 20542579767 23004611799 23209781135 25005012825 26543782845 28851937875 29672615219 34237632945 38341019665 41675021375 41777606043 44239638075 52497703849 57062721575 60345430951 69013835397 69629343405 73732730125 75015038475 89017845657 102712898835 106764993221 115023058995 116048905675 125025064125 132718914225 148363076095 157493111547 171188164725 181036292853 191705098325 208888030215 221198190375 262488519245 267053536971 285313607875 301727154755 320294979663 345069176985 348146717025 375075192375 413134104203 445089228285 472479334641 513564494175 533824966105 543108878559 575115294975 580244528375 663594571125 682470150037 741815380475 787465557735 855940823625 905181464265 958525491625 960884938989 1044440151075 1239402312609 1312442596225 1335267684855 1387944911873 1508635773775 1601474898315 1725345884925 1740733585125 2047410450111 2065670521015 2225446141425 2362396673205 2567822470875 2669124830525 2715544392795 2875576474875 3412350750185 3709076902375 3718206937827 3937327788675 4163834735619 4525907321325 4804424694945 5222200755375 5370743354639 6142231350333 6197011563045 6562212981125 6676338424275 6939724559365 7543178868875 8007374491575 8626729424625 9502084396669 10237052250555 10328352605075 11127230707125 11811983366025 12491504206857 13345624152625 13577721963975 16112230063917 17061753750925 18591034689135 19686638943375 20819173678095 22629536606625 24022123474725 26853716773195 28506253190007 30711156751665 30985057815225 33381692121375 34698622796825 40036872457875 47510421983345 48336690191751 51185261252775 51641763025375 59059916830125 62457521034285 67888609819875 80561150319585 85308768754625 85518759570021 92955173445675 104095868390475 120110617373625 123527097156697 134268583865975 142531265950035 153555783758325 154925289076125 173493113984125 237552109916725 241683450958755 255926306263875 312287605171425 370581291470091 402805751597925 427593797850105 464775867228375 520479341952375 617635485783485 671342919329875 712656329750175 767778918791625 1111743874410273 1187760549583625 1208417254793775 1561438025857125 1852906457350455 2014028757989625 2137968989250525 3088177428917425 3563281648750875 5558719372051365 6042086273968875 9264532286752275 10689844946252625 15440887144587125 27793596860256825 46322661433761375 138967984301284125
• Sum of all divisors σ(n): 286248756249630720
• Sum of proper divisors (its aliquot sum) s(n): 147280771948346595
• 138967984301284125 is an abundant number, because the sum of its proper divisors (147280771948346595) is greater than itself. Its abundance is 8312787647062470

Bases of 138967984301284125

• Binary: 111101101101101101010010100111011011011100001101100011101₂
• Hexadecimal: 0x1EDB6A53B6E1B1D
• Base-36: 120C1ENHYHP9

Squares and roots of 138967984301284125

• 138967984301284125 squared (138967984301284125²) is 19312100660761951015680123977015625
• 138967984301284125 cubed (138967984301284125³) is 2683763701449585586045405463007971175056672689453125
• The square root of 138967984301284125 is 372784098.7774077857
• The cube root of 138967984301284125 is 517970.3728045875

Scales and comparisons

• 138,967,984,301,284,125 seconds is equal to 4,418,752,044 years, 30 weeks, 1 day, 19 hours, 48 minutes, 45 seconds.
• To count from 1 to 138,967,984,301,284,125 would take you about thirteen billion, two hundred fifty-six million, two hundred fifty-six thousand, one hundred thirty-three 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 138967984301284125 cubic inches would be around 43164.2 feet tall.

Recreational maths with 138967984301284125

• 138967984301284125 backwards is 521482103489769831
• The number of decimal digits it has is: 18
• The sum of 138967984301284125's digits is 81
• More coming soon!