137120462462738993

Names of 137120462462738993

• Cardinal: 137120462462738993 can be written as One hundred thirty-seven quadrillion, one hundred twenty trillion, four hundred sixty-two billion, four hundred sixty-two million, seven hundred thirty-eight thousand, nine hundred ninety-three.

Scientific notation

• Scientific notation: 1.37120462462738993 × 10¹⁷

Factors of 137120462462738993

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 792

Divisors of 137120462462738993

• Number of divisors d(n): 144
• Complete list of divisors:
  1 7 23 49 79 161 529 553 683 1127 1817 3703 3871 4781 6241 12167 12719 15709 25921 33467 41791 43687 53957 85169 89033 109963 143543 292537 305809 361307 377699 466489 493039 596183 769741 961193 1004801 1241011 2047759 2529149 2643893 3265423 3301489 3451273 4262603 6728351 7033607 8310061 8687077 10729247 11339897 17704043 22857961 23110423 24158911 28543253 29838221 36852631 47098457 58170427 60809539 75104729 75934247 79379279 98039869 161772961 199802771 208867547 246772681 257968417 260817631 336745637 407192989 525733103 531539729 555654953 656494819 686279083 847610513 1398619397 1727408767 1805778919 1825723417 2254916987 2357219459 2911357849 3720778103 4595463733 4803953581 5675771663 5933273591 5998805513 7745149651 12091861369 12780063919 15784418909 16500536213 19495041799 20379504943 32168246131 39730401641 41532915137 41991638591 51863090701 54216047557 66961230527 110490932363 136465292593 142656534601 178138441973 229997270071 278112811487 293941470137 363041634907 379512332899 448385961377 468728613689 955257048151 1246969093811 1540108302121 1609980890497 2541291444349 3138701729639 3281100295823 4097184165379 5289937211633 8728783656677 10780758114847 11269866233479 21970912107473 28680289157653 35422490948783 37029560481431 75465306803929 121668555867559 200762024103571 247957436641481 259206923370017 851679891072913 1735702056490367 2798376784953857 5961759237510391 19588637494676999 137120462462738993
• Sum of all divisors σ(n): 169142775728371200
• Sum of proper divisors (its aliquot sum) s(n): 32022313265632207
• 137120462462738993 is a deficient number, because the sum of its proper divisors (32022313265632207) is less than itself. Its deficiency is 105098149197106786

Bases of 137120462462738993

• Binary: 111100111001001100101010110001000100001110110001000110001₂
• Hexadecimal: 0x1E7265588876231
• Base-36: 11I55AU4VZN5

Squares and roots of 137120462462738993

• 137120462462738993 squared (137120462462738993²) is 18802021225995413225276907642654049
• 137120462462738993 cubed (137120462462738993³) is 2578141845742725839812622592375572493766376481632657
• The square root of 137120462462738993 is 370297802.4006340129
• The cube root of 137120462462738993 is 515664.7242879687

Scales and comparisons

• 137,120,462,462,738,993 seconds is equal to 4,360,006,564 years, 45 weeks, 4 days, 49 minutes, 53 seconds.
• To count from 1 to 137,120,462,462,738,993 would take you about thirteen billion, eighty million, nineteen thousand, six hundred ninety-four 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 137120462462738993 cubic inches would be around 42972.1 feet tall.

Recreational maths with 137120462462738993

• 137120462462738993 backwards is 399837264264021731
• The number of decimal digits it has is: 18
• The sum of 137120462462738993's digits is 77
• More coming soon!