137016844030015504191

Names of 137016844030015504191

• Cardinal: 137016844030015504191 can be written as One hundred thirty-seven quintillion, sixteen quadrillion, eight hundred forty-four trillion, thirty billion, fifteen million, five hundred four thousand, one hundred ninety-one.

Scientific notation

• Scientific notation: 1.37016844030015504191 × 10²⁰

Factors of 137016844030015504191

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 2770131

Divisors of 137016844030015504191

• Number of divisors d(n): 192
• Complete list of divisors:
  1 3 7 9 13 21 39 63 91 117 211 273 439 633 819 1317 1477 1899 2743 3073 3951 4431 5707 8229 9219 13293 17121 19201 24687 27657 39949 51363 57603 92629 119847 172809 277887 359541 648403 833661 1051009 1204177 1718449 1945209 3153027 3612531 5155347 5835627 7357063 8429239 9459081 10837593 12029143 13663117 15466041 22071189 22339837 25287717 36087429 40989351 66213567 67019511 75863151 95641819 108262287 122968053 156378859 201058533 221762899 286925457 362592739 461392951 469136577 665288697 754399111 860776371 1087778217 1384178853 1407409731 1552340293 1995866091 2263197333 2538149173 2882917687 3229750657 3263334651 4152536559 4657020879 4713705607 5280793777 5998108363 6789591999 7614447519 8648753061 9689251971 9807188443 13971062637 14141116821 15842381331 17994325089 20180423809 22843342557 25946259183 29067755913 29421565329 32995939249 41986758541 42423350463 47527143993 53982975267 60541271427 68650319101 88264695987 97353912661 98987817747 125960275623 159178212421 181623814281 205950957303 292061737983 296963453241 377880826869 477534637263 617852871909 681477388627 876185213949 1114247486947 1265600864593 1432603911789 1806105365041 2044432165881 2069316761473 3342742460841 3796802593779 5418316095123 6133296497643 6207950284419 8859206052151 10028227382523 11390407781337 12642737555287 14485217330311 16254948285369 18623850853257 23479369745533 26577618156453 37928212665861 43455651990933 70438109236599 79732854469359 113784637997583 130366955972799 164355588218731 211314327709797 381088232023651 493066764656193 792880255252999 1143264696070953 1479200293968579 2378640765758997 2667617624165557 3429794088212859 4954147016307463 5550161786770993 7135922297276991 8002852872496671 10307443318288987 14862441048922389 16650485360312979 24008558617490013 30922329954866961 34679029114152241 44587323146767167 49951456080938937 72152103228022909 92766989864600883 104037087342456723 167297733858382789 216456309684068727 312111262027370169 501893201575148367 649368929052206181 1171084137008679523 1505679604725445101 2174870540158976257 3513252411026038569 6524611620476928771 10539757233078115707 15224093781112833799 19573834861430786313 45672281343338501397 137016844030015504191
• Sum of all divisors σ(n): 245297804440648960000
• Sum of proper divisors (its aliquot sum) s(n): 108280960410633455809
• 137016844030015504191 is a deficient number, because the sum of its proper divisors (108280960410633455809) is less than itself. Its deficiency is 28735883619382048382

Bases of 137016844030015504191

• Binary: 1110110110101111101100111011011001011101110001011001111111100111111₂
• Hexadecimal: 0x76D7D9DB2EE2CFF3F
• Base-36: SWZMPKY9DP6PR

Squares and roots of 137016844030015504191

• 137016844030015504191 squared (137016844030015504191²) is 18773615547945595311540116899839938564481
• 137016844030015504191 cubed (137016844030015504191³) is 2572301553412335689448007374520654816730852721175361979239871
• The square root of 137016844030015504191 is 11705419429.9057692583
• The cube root of 137016844030015504191 is 5155347.9999999989

Scales and comparisons

• 137,016,844,030,015,504,191 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,016,844,030,015,504,191 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137016844030015504191 cubic inches would be around 429612.3 feet tall.

Recreational maths with 137016844030015504191

• 137016844030015504191 backwards is 191405510030448610731
• 137016844030015504191 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 137016844030015504191's digits is 63
• More coming soon!