138472873146247311

Names of 138472873146247311

• Cardinal: 138472873146247311 can be written as One hundred thirty-eight quadrillion, four hundred seventy-two trillion, eight hundred seventy-three billion, one hundred forty-six million, two hundred forty-seven thousand, three hundred eleven.

Scientific notation

• Scientific notation: 1.38472873146247311 × 10¹⁷

Factors of 138472873146247311

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 802

Divisors of 138472873146247311

• Number of divisors d(n): 300
• Complete list of divisors:
  1 3 7 9 21 27 41 49 63 81 123 147 189 287 343 369 441 567 751 861 1029 1107 1323 1681 2009 2253 2401 2583 3087 3321 3969 5043 5257 6027 6759 7203 7749 9261 11767 14063 15129 15771 18081 20277 21609 23247 27783 30791 35301 36799 42189 45387 47313 54243 60831 64827 82369 92373 98441 105903 110397 126567 136161 141939 162729 194481 215537 247107 257593 277119 295323 317709 331191 379701 425817 564001 576583 646611 741321 772779 831357 885969 953127 993573 1139103 1262431 1508759 1692003 1729749 1803151 1939833 2223963 2318337 2494071 2657907 2980719 3787293 3948007 4036081 4526277 5076009 5189247 5409453 5819499 6671889 6955011 7973721 8837017 10561313 11361879 11844021 12108243 13578831 15228027 15567741 16228359 17458497 20865033 23124041 26511051 27636049 31683939 34085637 35532063 36324729 40736493 45684081 46703223 48685077 61859119 69372123 73929191 79533153 82908147 95051817 102256911 106596189 108974187 122209479 146055231 161868287 185577357 193452343 208116369 221787573 238599459 248724441 285155451 319788567 326922561 423564751 433013833 485604861 556732071 580357029 624349107 665362719 715798377 746173323 855466353 948085681 1133078009 1270694253 1299041499 1354166401 1456814583 1670196213 1741071087 1873047321 1996088157 2238519969 2844257043 2964953257 3031096831 3399234027 3812082759 3897124497 4062499203 4370443749 5010588639 5223213261 5988264471 6636599767 7931546063 8532771129 8894859771 9093290493 10197702081 11436248277 11691373491 12187497609 13111331247 15669639783 17366154791 19909799301 20754672799 23794638189 25598313387 26684579313 27279871479 30593106243 34308744831 35074120473 36562492827 46456198369 52098464373 55520822441 59729397903 62264018397 71383914567 76794940161 80053737939 81839614437 91779318729 109687478481 121563083537 139368595107 145282709593 156295393119 166562467323 179188193709 186792055191 214151743701 240161213817 245518843311 325193388583 364689250611 418105785321 435848128779 468886179357 499687401969 537564581127 560376165573 642455231103 712012346431 850941584759 975580165749 1016978967151 1094067751833 1254317355963 1307544386337 1406658538071 1499062205907 1681128496719 2136037039293 2276353720081 2552824754277 2926740497247 3050936901453 3282203255499 3762952067889 3922633159011 4497186617721 4984086425017 5956591093313 6408111117879 6829061160243 7658474262831 8780221491741 9152810704359 9846609766497 11767899477033 14952259275051 17869773279939 19224333353637 20487183480729 22975422788493 26340664475223 27458432113077 34888604975119 41696137653191 44856777825153 53609319839817 57673000060911 61461550442187 68926268365479 82375296339231 104665814925357 125088412959573 134570333475459 160827959519451 184384651326561 244220234825833 313997444776071 375265238878719 403711000426377 482483878558353 732660704477499 941992334328213 1125795716636157 1709541643780831 2197982113432497 2825977002984639 3377387149908471 5128624931342493 6593946340297491 15385874794027479 19781839020892473 46157624382082437 138472873146247311
• Sum of all divisors σ(n): 247675039662192032
• Sum of proper divisors (its aliquot sum) s(n): 109202166515944721
• 138472873146247311 is a deficient number, because the sum of its proper divisors (109202166515944721) is less than itself. Its deficiency is 29270706630302590

Bases of 138472873146247311

• Binary: 111101011111101000101100000101110111010001110100010001111₂
• Hexadecimal: 0x1EBF4582EE8E88F
• Base-36: 11VGJBQ7N1XR

Squares and roots of 138472873146247311

• 138472873146247311 squared (138472873146247311²) is 19174736597376699666777281974730721
• 138472873146247311 cubed (138472873146247311³) is 2655180868461249532616424866492849862924570895341231
• The square root of 138472873146247311 is 372119433.9808757033
• The cube root of 138472873146247311 is 517354.5041541425

Scales and comparisons

• 138,472,873,146,247,311 seconds is equal to 4,403,009,041 years, 17 weeks, 1 day, 12 hours, 41 minutes, 51 seconds.
• To count from 1 to 138,472,873,146,247,311 would take you about thirteen billion, two hundred nine million, twenty-seven thousand, one hundred twenty-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 138472873146247311 cubic inches would be around 43112.9 feet tall.

Recreational maths with 138472873146247311

• 138472873146247311 backwards is 113742641378274831
• The number of decimal digits it has is: 18
• The sum of 138472873146247311's digits is 72
• More coming soon!