221139265890541128

Names of 221139265890541128

• Cardinal: 221139265890541128 can be written as Two hundred twenty-one quadrillion, one hundred thirty-nine trillion, two hundred sixty-five billion, eight hundred ninety million, five hundred forty-one thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 2.21139265890541128 × 10¹⁷

Factors of 221139265890541128

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 546239728

Divisors of 221139265890541128

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 8 12 13 19 24 26 31 38 39 52 57 62 76 78 93 104 114 124 152 156 186 228 247 248 312 372 403 456 494 589 741 744 806 988 1178 1209 1482 1612 1767 1976 2203 2356 2418 2964 3224 3534 4406 4712 4836 5928 6609 7068 7657 8812 9672 13218 14136 15314 17624 22971 26436 28639 30628 41857 45942 52872 57278 61256 68293 83714 85917 91884 114556 125571 136586 167428 171834 183768 204879 229112 251142 273172 334856 343668 409758 502284 544141 546344 687336 819516 887809 1004568 1088282 1297567 1632423 1639032 1775618 2176564 2595134 2663427 3264846 3551236 3892701 4353128 5190268 5326854 6529692 7102472 7785402 10380536 10653708 13059384 15570804 16868371 21307416 31141608 33736742 50605113 67473484 101210226 134946968 202420452 404840904 546237457 1092474914 1638712371 2184949828 3277424742 4369899656 6554849484 7101086941 10378511683 13109698968 14202173882 16933361167 20757023366 21303260823 28404347764 31135535049 33866722334 41514046732 42606521646 50800083501 56808695528 62271070098 67733444668 83028093464 85213043292 101600167002 124542140196 134920651879 135466889336 170426086584 203200334004 220133695171 249084280392 269841303758 321733862173 404761955637 406400668008 440267390342 539682607516 643467724346 660401085513 809523911274 880534780684 965201586519 1079365215032 1203361117771 1286935448692 1320802171026 1619047822548 1761069561368 1930403173038 2406722235542 2573870897384 2641604342052 3238095645096 3610083353313 3860806346076 4182540208249 4813444471084 5283208684104 7220166706626 7721612692152 8365080416498 9626888942168 12547620624747 14440333413252 15643694531023 16730160832996 22863861237649 25095241249494 28880666826504 31287389062046 33460321665992 37304194650901 45727722475298 46931083593069 50190482498988 62574778124092 68591583712947 74608389301802 91455444950596 93862167186138 100380964997976 111912583952703 125149556248184 137183167425894 149216778603604 182910889901192 187724334372276 223825167905406 274366334851788 297230196089437 298433557207208 375448668744552 447650335810812 484954530461713 548732669703576 594460392178874 708779698367119 891690588268311 895300671621624 969909060923426 1188920784357748 1417559396734238 1454863591385139 1783381176536622 1939818121846852 2126339095101357 2377841568715496 2835118793468476 2909727182770278 3566762353073244 3879636243693704 4252678190202714 5670237586936952 5819454365540556 7133524706146488 8505356380405428 9214136078772547 11638908731081112 17010712760810856 18428272157545094 27642408236317641 36856544315090188 55284816472635282 73713088630180376 110569632945270564 221139265890541128
• Sum of all divisors σ(n): 647220595355443200
• Sum of proper divisors (its aliquot sum) s(n): 426081329464902072
• 221139265890541128 is an abundant number, because the sum of its proper divisors (426081329464902072) is greater than itself. Its abundance is 204942063574360944

Bases of 221139265890541128

• Binary: 1100010001101001001111110110011101010010111101111001001000₂
• Hexadecimal: 0x311A4FD9D4BDE48
• Base-36: 1OHFBSA8KZ0O

Squares and roots of 221139265890541128

• 221139265890541128 squared (221139265890541128²) is 48902574918607446789445340659512384
• 221139265890541128 cubed (221139265890541128³) is 10814279517658039836665736244191816021424182377329152
• The square root of 221139265890541128 is 470254469.2935316781
• The cube root of 221139265890541128 is 604721.3304785805

Scales and comparisons

• 221,139,265,890,541,128 seconds is equal to 7,031,544,626 years, 34 weeks, 1 day, 11 hours, 38 minutes, 48 seconds.
• To count from 1 to 221,139,265,890,541,128 would take you about twenty-one billion, ninety-four million, six hundred thirty-three thousand, eight hundred seventy-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 221139265890541128 cubic inches would be around 50393.4 feet tall.

Recreational maths with 221139265890541128

• 221139265890541128 backwards is 821145098562931122
• The number of decimal digits it has is: 18
• The sum of 221139265890541128's digits is 69
• More coming soon!