221329619295164142

Names of 221329619295164142

• Cardinal: 221329619295164142 can be written as Two hundred twenty-one quadrillion, three hundred twenty-nine trillion, six hundred nineteen billion, two hundred ninety-five million, one hundred sixty-four thousand, one hundred forty-two.

Scientific notation

• Scientific notation: 2.21329619295164142 × 10¹⁷

Factors of 221329619295164142

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 183

Divisors of 221329619295164142

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 6 7 14 21 31 42 49 61 62 79 93 98 122 147 158 183 186 217 237 294 343 366 427 434 474 553 651 686 854 961 1029 1106 1281 1302 1519 1659 1891 1922 2058 2449 2562 2883 2989 3038 3318 3721 3782 3871 4557 4819 4898 5673 5766 5978 6241 6727 7347 7442 7742 8967 9114 9638 10633 11163 11346 11613 12482 13237 13454 14457 14694 17143 17934 18723 20181 20923 21266 22326 23226 26047 26474 27097 28914 31899 33733 34286 37446 39711 40362 41846 43687 47089 51429 52094 54194 58621 62769 63798 67466 75919 78141 79422 81291 87374 92659 94178 101199 102858 115351 117242 120001 125538 131061 141267 149389 151838 156282 162582 175863 182329 185318 193471 202398 226981 227757 230702 236131 240002 262122 277977 282534 293959 298778 305809 329623 346053 351726 360003 364658 380701 386942 410347 448167 453962 455514 472262 493039 531433 546987 555954 580413 587918 611618 648613 659246 680943 692106 708393 720006 761402 807457 820694 840007 881877 896334 917427 986078 988869 1045723 1062866 1093974 1142103 1160826 1231041 1276303 1297226 1354297 1361886 1416786 1479117 1588867 1594299 1614914 1652917 1680014 1763754 1834854 1945839 1977738 2057713 2091446 2140663 2284206 2422371 2462082 2520021 2552606 2664907 2708594 2872429 2958234 3137169 3177734 3188598 3305834 3451273 3575881 3720031 3828909 3891678 4062891 4115426 4281326 4631059 4766601 4844742 4958751 5040042 5329814 5652199 5744858 5997601 6173139 6274338 6421989 6902546 7036411 7151762 7320061 7440062 7657818 7994721 8125782 8617287 9112729 9262118 9480079 9533202 9917502 10353819 10727643 11122069 11160093 11304398 11801731 11995202 12346278 12843978 13893177 14072822 14403991 14640122 15284209 15989442 16956597 17234574 17931499 17992803 18225458 18654349 18960158 20107003 20707638 21109233 21455286 21960183 22244138 22320186 23222761 23603462 24158911 25031167 26040217 27338187 27786354 28440237 28807982 30075379 30568418 32417413 33366207 33913194 35405193 35862998 35985606 37308698 39565393 40214006 41983207 42218466 43211973 43920366 45852627 46445522 48317822 49254877 50062334 51240427 52080434 53794497 54676374 55963047 56880474 60150758 60321009 63789103 64834826 66360553 66732414 69668283 70810386 72476733 75093501 77854483 78120651 79130786 82612117 83966414 86423946 90226137 91705254 97252239 98509754 100827937 102480854 106989463 107588994 111926094 118696179 120642018 125520493 125949621 127578206 130580443 132721106 139336566 144953466 147764631 150187002 153721281 155708966 156241302 162559327 165224234 169112377 175218169 180452274 191367309 194504478 199081659 201655874 210527653 213978926 218128741 226921891 233563449 237392358 247836351 251040986 251899242 261160886 282494599 293882449 295529262 302483811 307442562 320968389 325118654 338224754 344784139 350436338 365853661 376561479 382734618 391741329 398163318 421055306 436257482 446523721 453843782 467126898 473810479 487677981 495672702 507337131 525654507 555876469 564989198 578284819 587764898 604967622 631582959 641936778 654386223 680765673 689568278 719905591 731707322 748926241 753122958 783482658 847483797 878643451 881647347 893047442 932336749 947620958 975355962 1014674262 1034352417 1051309014 1097560983 1111752938 1137915289 1156569638 1226527183 1263165918 1308772446 1339571163 1361531346 1416588421 1421431437 1439811182 1473693571 1497852482 1526901187 1588453237 1667629407 1694967594 1734854457 1757286902 1763294694 1834598119 1864673498 1977462193 2057177143 2068704834 2159716773 2195121966 2246778723 2275830578 2413488973 2453054366 2560975627 2635930353 2679142326 2797010247 2833176842 2842862874 2947387142 3053802374 3125666047 3176906474 3316673353 3335258814 3413745867 3469708914 3669196238 3679581549 3891135283 3954924386 4047993733 4114354286 4249765263 4319433546 4421080713 4493557446 4580703561 4765359711 4826977946 5039339137 5121951254 5242483687 5271860706 5503794357 5594020494 5932386579 6150504157 6171531429 6251332094 6526357243 6633346706 6827491734 7240466919 7359163098 7682926881 7782270566 7965407023 8095987466 8499530526 8842161426 9161407122 9376998141 9530719422 9916118947 9950020059 10078678274 10315854997 10484967374 10688308309 11007588714 11673405849 11864773158 12143981199 12301008314 12343062858 12842186833 13052714486 13842235351 14480933838 15118017411 15365853762 15727451061 15930814046 17232170539 17926829389 18451512471 18753996282 19579071729 19832237894 19900040118 20631709994 21376616618 22317073321 23216713471 23346811698 23896221069 24287962398 25684373666 27237946981 27684470702 28902439219 29748356841 30236034822 30947564991 31454902122 32064924927 34464341078 35275373959 35853658778 36903024942 38526560499 39158143458 41526706053 43914241051 44634146642 45684500701 46433426942 47792442138 51696511617 53780488167 54475893962 56872541689 57804878438 59496713682 61895129982 64129849854 66951219963 69412832629 69650140413 70550747918 74818158163 77053120998 81713840943 83053412106 86707317657 87828482102 89895307831 91369001402 96895647457 103393023234 105826121877 107560976334 111910485259 113745083378 120625193773 125487805723 131742723153 133902439926 137053502103 138825665258 139300280826 149636316326 156219513247 162516994297 163427681886 170617625067 173414635314 179790615662 190665628867 193791294914 202317074533 208238497887 211652243754 223820970518 224454474489 241250387546 246927617713 250975611446 263485446306 269685923493 274107004206 290686942371 307399687357 312439026494 319791504907 325033988594 335731455777 341235250134 361875581319 376463417169 381331257734 398107791823 404634149066 416476995774 448908948978 468658539741 485889828403 487550982891 493855235426 539371846986 571996886601 581373884742 606951223599 614799374714 629267154817 639583009814 671462911554 723751162638 740782853139 752926834338 783373396813 796215583646 844376356411 922199062071 937317079482 959374514721 971779656806 975101965782 1093536592729 1143993773202 1194323375469 1213902447198 1258534309634 1361341472581 1416219521731 1457669485209 1481565706278 1566746793626 1688752712822 1763048792359 1844398124142 1887801464451 1918749029442 2151797811499 2187073185458 2350120190439 2388646750938 2533129069233 2722682945162 2786754542761 2832439043462 2915338970418 3280609778187 3469225043029 3526097584718 3775602928902 4084024417743 4248658565193 4303595622998 4700240380878 5066258138466 5289146377077 5483613777691 5573509085522 5910634494877 6455393434497 6561219556374 6938450086058 7654756149103 8168048835486 8360263628283 8497317130386 9529390308067 9913536652117 10407675129087 10578292754154 10967227555382 11821268989754 12341341546513 12910786868994 15062584680493 15309512298206 16450841333073 16720527256566 17731903484631 19058780616134 19507281799327 19827073304234 20815350258174 22964268447309 24284575301203 24682683093026 28588170924201 29740609956351 30125169360986 32901682666146 35463806969262 37024024639539 38385296443837 39014563598654 45187754041479 45928536894618 48569150602406 57176341848402 58521845397981 59481219912702 66705732156469 72853725903609 74048049279078 76770592887674 86389390825591 90375508082958 107545976333899 115155889331511 117043690795962 133411464312938 145707451807218 169992027108421 172778781651182 200117196469407 215091952667798 230311778663022 259168172476773 322637929001697 339984054216842 400234392938814 466940125095283 509976081325263 518336344953546 604725735779137 645275858003394 752821834337293 933880250190566 1019952162650526 1189944189758947 1209451471558274 1400820375285849 1505643668674586 1814177207337411 2258465503011879 2379888379517894 2801640750571698 3569832569276841 3628354414674822 4516931006023758 5269752840361051 7139665138553682 10539505680722102 15809258521083153 31618517042166306 36888269882527357 73776539765054714 110664809647582071 221329619295164142
• Sum of all divisors σ(n): 549252820141056000
• Sum of proper divisors (its aliquot sum) s(n): 327923200845891858
• 221329619295164142 is an abundant number, because the sum of its proper divisors (327923200845891858) is greater than itself. Its abundance is 106593581550727716

Bases of 221329619295164142

• Binary: 1100010010010100100001110110111000010111000101011011101110₂
• Hexadecimal: 0x312521DB85C56EE
• Base-36: 1OJASVFIWYY6

Squares and roots of 221329619295164142

• 221329619295164142 squared (221329619295164142²) is 48986800377342295269765666722596164
• 221329619295164142 cubed (221329619295164142³) is 10842229878005373347346252058604229228214564759551288
• The square root of 221329619295164142 is 470456819.7987612785
• The cube root of 221329619295164142 is 604894.7924383701

Scales and comparisons

• 221,329,619,295,164,142 seconds is equal to 7,037,597,276 years, 6 weeks, 2 days, 20 hours, 15 minutes, 42 seconds.
• To count from 1 to 221,329,619,295,164,142 would take you about twenty-one billion, one hundred twelve million, seven hundred ninety-one thousand, eight hundred twenty-eight 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 221329619295164142 cubic inches would be around 50407.9 feet tall.

Recreational maths with 221329619295164142

• 221329619295164142 backwards is 241461592916923122
• The number of decimal digits it has is: 18
• The sum of 221329619295164142's digits is 69
• More coming soon!