137431422464943213

Names of 137431422464943213

• Cardinal: 137431422464943213 can be written as One hundred thirty-seven quadrillion, four hundred thirty-one trillion, four hundred twenty-two billion, four hundred sixty-four million, nine hundred forty-three thousand, two hundred thirteen.

Scientific notation

• Scientific notation: 1.37431422464943213 × 10¹⁷

Factors of 137431422464943213

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 238

Divisors of 137431422464943213

• Number of divisors d(n): 192
• Complete list of divisors:
  1 3 9 31 53 93 151 159 279 453 477 961 1359 1643 2809 2883 4681 4929 8003 8427 8649 14043 14787 22801 24009 25281 29791 42129 50933 68403 72027 87079 89373 145111 148877 152799 205209 248093 261237 268119 424159 435333 446631 458397 706831 744279 783711 1208453 1272477 1305999 1339893 1578923 2120493 2232837 2699449 3442951 3625359 3817431 4498441 4615187 4736769 6361479 7690883 8098347 10328853 10876077 13148929 13495323 13845561 14210307 21911761 22480427 23072649 24295041 30986559 37462043 39446787 40485969 41536683 64048009 65735283 67441281 69217947 83682919 106731481 112386129 118340361 143070797 182476403 192144027 197205849 202323843 238417373 251048757 320194443 337158387 407616799 429212391 547429209 576432081 679264591 696893237 715252119 753146271 960583329 1161323333 1222850397 1287637173 1642287627 1985488279 2037793773 2090679711 2145756357 3308675911 3394544477 3483969999 3668551191 4435194707 5656768493 5956464837 6113381319 6272039133 9671249359 9926027733 10183633431 10451909997 12636120769 13305584121 16970305479 17869394511 21603690347 29013748077 29778083199 30550900293 36001023323 37908362307 39916752363 50910916437 61550136649 64811071041 87041244231 102568953241 105230878787 108003069969 113725086921 175359823283 184650409947 194433213123 299808730129 307706859723 315692636361 324009209907 512576216027 526079469849 553951229841 669714400757 899426190387 923120579169 947077909083 1537728648081 1578238409547 1908054236119 2009143202271 2698278571161 3262157242397 4613185944243 5436154521773 5724162708357 6027429606813 9294070633999 9786471727191 15889862696837 16308463565319 17172488125071 27882211901997 29359415181573 47669588090511 48925390695957 83646635705991 101126874514307 143008764271533 288116189653969 303380623542921 492585743601947 864348568961907 910141870628763 1477757230805841 2593045706885721 4433271692417523 15270158051660357 45810474154981071 137431422464943213
• Sum of all divisors σ(n): 210467485108408320
• Sum of proper divisors (its aliquot sum) s(n): 73036062643465107
• 137431422464943213 is a deficient number, because the sum of its proper divisors (73036062643465107) is less than itself. Its deficiency is 64395359821478106

Bases of 137431422464943213

• Binary: 111101000010000010010011010001100111111111110010001101101₂
• Hexadecimal: 0x1E841268CFFE46D
• Base-36: 11L7DFW1G9D9

Squares and roots of 137431422464943213

• 137431422464943213 squared (137431422464943213²) is 18887395880737698039849963314763369
• 137431422464943213 cubed (137431422464943213³) is 2595721682548290776616343261867407376678929117564597
• The square root of 137431422464943213 is 370717442.8927552001
• The cube root of 137431422464943213 is 516054.2359124161

Scales and comparisons

• 137,431,422,464,943,213 seconds is equal to 4,369,894,131 years, 4 weeks, 2 days, 14 hours, 53 minutes, 33 seconds.
• To count from 1 to 137,431,422,464,943,213 would take you about thirteen billion, one hundred nine million, six hundred eighty-two thousand, three hundred ninety-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 137431422464943213 cubic inches would be around 43004.5 feet tall.

Recreational maths with 137431422464943213

• 137431422464943213 backwards is 312349464224134731
• The number of decimal digits it has is: 18
• The sum of 137431422464943213's digits is 63
• More coming soon!