137688323090625

Names of 137688323090625

• Cardinal: 137688323090625 can be written as One hundred thirty-seven trillion, six hundred eighty-eight billion, three hundred twenty-three million, ninety thousand, six hundred twenty-five.

Scientific notation

• Scientific notation: 1.37688323090625 × 10¹⁴

Factors of 137688323090625

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 58

Divisors of 137688323090625

• Number of divisors d(n): 360
• Complete list of divisors:
  1 3 5 9 15 19 25 27 31 45 57 75 81 93 95 125 135 155 171 225 279 285 375 405 465 475 513 589 625 675 775 837 855 961 1125 1395 1425 1539 1767 1875 2025 2325 2375 2511 2565 2883 2945 3125 3375 3875 4185 4275 4805 5301 5625 6975 7125 7695 8649 8835 9375 10125 11625 11875 12555 12825 14415 14725 15903 16875 18259 19375 20925 21375 24025 25947 26505 28125 29791 34875 35625 38475 43245 44175 47709 50625 54777 58125 59375 62775 64125 72075 73625 77841 79515 84375 89373 91295 96875 104625 106875 120125 129735 132525 148955 164331 174375 178125 192375 216225 220875 238545 253125 268119 273885 290625 313875 320625 360375 368125 389205 397575 446865 456475 492993 523125 534375 566029 600625 648675 662625 744775 804357 821655 871875 923521 961875 1081125 1104375 1192725 1340595 1369425 1478979 1569375 1603125 1698087 1801875 1840625 1946025 1987875 2234325 2282375 2413071 2464965 2615625 2770563 2830145 3003125 3243375 3313125 3723875 4021785 4108275 4617605 4809375 5094261 5405625 5521875 5963625 6702975 6847125 7394895 7846875 8311689 8490435 9009375 9730125 9939375 11171625 11411875 12065355 12324825 13852815 14150725 15282783 16216875 16565625 17546899 18619375 20108925 20541375 23088025 24935067 25471305 27028125 28629151 29818125 33514875 34235625 36974475 41558445 42452175 45848349 48650625 49696875 52640697 55858125 57059375 60326775 61624125 69264075 70753625 74805201 76413915 81084375 85887453 87734495 93096875 100544625 102706875 115440125 124675335 127356525 143145755 149090625 157922091 167574375 171178125 184872375 207792225 212260875 229241745 243253125 257662359 263203485 279290625 301633875 308120625 346320375 353768125 374026005 382069575 429437265 438672475 473766273 502723125 513534375 543953869 577200625 623376675 636782625 715728775 772987077 789610455 837871875 924361875 1038961125 1061304375 1146208725 1288311795 1316017425 1421298819 1508169375 1540603125 1631861607 1731601875 1768840625 1870130025 1910347875 2147186325 2193362375 2318961231 2368831365 2513615625 2719769345 2886003125 3116883375 3183913125 3578643875 3864935385 3948052275 4621809375 4895584821 5194805625 5306521875 5731043625 6441558975 6580087125 7106494095 7540846875 8159308035 8658009375 9350650125 9551739375 10735931625 10966811875 11594806155 11844156825 13598846725 14686754463 15584416875 15919565625 17893219375 19324676925 19740261375 24477924105 25974028125 28655218125 32207794875 32900435625 35532470475 40796540175 44060263389 46753250625 47758696875 53679658125 54834059375 57974030775 59220784125 67994233625 73433772315 77922084375 89466096875 96623384625 98701306875 122389620525 143276090625 161038974375 164502178125 177662352375 203982700875 220301316945 233766253125 268398290625 289870153875 296103920625 339971168125 367168861575 483116923125 493506534375 611948102625 805194871875 888311761875 1019913504375 1101506584725 1449350769375 1480519603125 1699855840625 1835844307875 2415584615625 3059740513125 4441558809375 5099567521875 5507532923625 7246753846875 9179221539375 15298702565625 27537664618125 45896107696875 137688323090625
• Sum of all divisors σ(n): 279638209509120
• Sum of proper divisors (its aliquot sum) s(n): 141949886418495
• 137688323090625 is an abundant number, because the sum of its proper divisors (141949886418495) is greater than itself. Its abundance is 4261563327870

Bases of 137688323090625

• Binary: 11111010011101000001111100101100110100011000001₂
• Hexadecimal: 0x7D3A0F9668C1
• Base-36: 1CT154K729

Squares and roots of 137688323090625

• 137688323090625 squared (137688323090625²) is 18958074315508337551962890625
• 137688323090625 cubed (137688323090625³) is 2610305461529791374890638859035308837890625
• The square root of 137688323090625 is 11734066.7754459707
• The cube root of 137688323090625 is 51637.5589239303

Scales and comparisons

• 137,688,323,090,625 seconds is equal to 4,378,062 years, 40 weeks, 2 days, 14 hours, 3 minutes, 45 seconds.
• To count from 1 to 137,688,323,090,625 would take you about ten million, nine hundred forty-five thousand, one hundred fifty-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 137688323090625 cubic inches would be around 4303.1 feet tall.

Recreational maths with 137688323090625

• 137688323090625 backwards is 526090323886731
• The number of decimal digits it has is: 15
• The sum of 137688323090625's digits is 63
• More coming soon!