997893771148300464

Names of 997893771148300464

• Cardinal: 997893771148300464 can be written as Nine hundred ninety-seven quadrillion, eight hundred ninety-three trillion, seven hundred seventy-one billion, one hundred forty-eight million, three hundred thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 9.97893771148300464 × 10¹⁷

Factors of 997893771148300464

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 20159375

Divisors of 997893771148300464

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1487 1908 2544 2974 3816 4363 4461 5948 7632 8726 8922 11896 13089 13383 17452 17844 23792 26178 26766 34904 35688 39267 52356 53532 69808 71376 78534 78811 104712 107064 157068 157622 209424 214128 231239 236433 314136 315244 462478 472866 628272 630488 693717 709299 924956 945732 1260976 1387434 1418598 1849912 1891464 2081151 2774868 2837196 3699824 3782928 4162302 5549736 5674392 6487781 8324604 11099472 11348784 12975562 16649208 19463343 20153467 25951124 33298416 38926686 40306934 51902248 58390029 60460401 77853372 80613868 103804496 116780058 120920802 155706744 161227736 181381203 233560116 241841604 311413488 322455472 343852393 362762406 467120232 483683208 687704786 725524812 934240464 967366416 1031557179 1068133751 1375409572 1451049624 2063114358 2136267502 2750819144 2902099248 3094671537 3204401253 4126228716 4272535004 5501638288 6189343074 6408802506 8252457432 8545070008 9613203759 12378686148 12817605012 16504914864 17090140016 19226407518 24757372296 25635210024 29968205429 38452815036 49514744592 51270420048 59936410858 76905630072 87929576521 89904616287 119872821716 153811260144 175859153042 179809232574 239745643432 263788729563 269713848861 351718306084 359618465148 479491286864 527577459126 539427697722 703436612168 719236930296 791366188689 1055154918252 1078855395444 1406873224336 1438473860592 1582732377378 1588314887737 2110309836504 2157710790888 3165464754756 3176629775474 4220619673008 4315421581776 4660267555613 4764944663211 6330929509512 6353259550948 9320535111226 9529889326422 12661859019024 12706519101896 13980802666839 14294833989633 18641070222452 19059778652844 25413038203792 27961605333678 28589667979266 37282140444904 38119557305688 41942408000517 55923210667356 57179335958532 74564280889808 76239114611376 83884816001034 111846421334712 114358671917064 130751280286727 167769632002068 223692842669424 228717343834128 261502560573454 335539264004136 392253840860181 523005121146908 671078528008272 784507681720362 1046010242293816 1176761522580543 1569015363440724 2092020484587632 2353523045161086 3138030726881448 4707046090322172 6276061453762896 6929817855196531 9414092180644344 13859635710393062 18828184361288688 20789453565589593 27719271420786124 41578907131179186 55438542841572248 62368360696768779 83157814262358372 110877085683144496 124736721393537558 166315628524716744 249473442787075116 332631257049433488 498946885574150232 997893771148300464
• Sum of all divisors σ(n): 2847975633024717312
• Sum of proper divisors (its aliquot sum) s(n): 1850081861876416848
• 997893771148300464 is an abundant number, because the sum of its proper divisors (1850081861876416848) is greater than itself. Its abundance is 852188090728116384

Bases of 997893771148300464

• Binary: 110111011001001110110001100100001000110111101001000010110000₂
• Hexadecimal: 0xDD93B1908DE90B0
• Base-36: 7KXNTHTK1JG0

Squares and roots of 997893771148300464

• 997893771148300464 squared (997893771148300464²) is 995791978496576659546012515622615296
• 997893771148300464 cubed (997893771148300464³) is 993694612701176205843473918250091676024362313290297344
• The square root of 997893771148300464 is 998946330.4644051117
• The cube root of 997893771148300464 is 999297.4302274121

Scales and comparisons

• 997,893,771,148,300,464 seconds is equal to 31,729,935,234 years, 21 weeks, 4 days, 13 hours, 14 minutes, 24 seconds.
• To count from 1 to 997,893,771,148,300,464 would take you about ninety-five billion, one hundred eighty-nine million, eight hundred five thousand, seven hundred 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 997893771148300464 cubic inches would be around 83274.8 feet tall.

Recreational maths with 997893771148300464

• 997893771148300464 backwards is 464003841177398799
• The number of decimal digits it has is: 18
• The sum of 997893771148300464's digits is 90
• More coming soon!