221034428448768

Names of 221034428448768

• Cardinal: 221034428448768 can be written as Two hundred twenty-one trillion, thirty-four billion, four hundred twenty-eight million, four hundred forty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 2.21034428448768 × 10¹⁴

Factors of 221034428448768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 3689

Divisors of 221034428448768

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 163 176 192 198 256 257 264 288 326 352 384 396 489 512 514 528 576 652 704 768 771 792 978 1024 1028 1056 1152 1304 1408 1467 1536 1542 1584 1793 1956 2048 2056 2112 2304 2313 2608 2816 2827 2934 3072 3084 3168 3253 3586 3912 4096 4112 4224 4608 4626 5216 5379 5632 5654 5868 6144 6168 6336 6506 7172 7824 8192 8224 8448 8481 9216 9252 9759 10432 10758 11264 11308 11736 12288 12336 12672 13012 14344 15648 16137 16384 16448 16896 16962 18432 18504 19518 20864 21516 22528 22616 23472 24576 24672 25344 25443 26024 28688 29277 31296 32274 32896 33792 33924 35783 36864 37008 39036 41728 41891 43032 45056 45232 46944 49152 49344 50688 50886 52048 57376 58554 62592 64548 65792 67584 67848 71566 73728 74016 78072 83456 83782 86064 90112 90464 93888 98688 101376 101772 104096 107349 114752 117108 125184 125673 129096 131584 135168 135696 143132 147456 148032 156144 166912 167564 172128 180224 180928 187776 197376 202752 203544 208192 214698 229504 234216 250368 251346 258192 263168 270336 271392 286264 296064 312288 322047 333824 335128 344256 361856 375552 377019 394752 405504 407088 416384 429396 459008 460801 468432 500736 502692 516384 526336 530239 540672 542784 572528 592128 624576 644094 667648 670256 688512 723712 751104 754038 789504 811008 814176 832768 836021 858792 918016 921602 936864 1001472 1005384 1032768 1052672 1060478 1085568 1145056 1184256 1249152 1288188 1335296 1340512 1377024 1382403 1447424 1502208 1508076 1579008 1590717 1622016 1628352 1665536 1672042 1717584 1836032 1843204 1873728 2002944 2010768 2065536 2105344 2120956 2171136 2290112 2368512 2498304 2508063 2576376 2670592 2681024 2754048 2764806 2894848 3004416 3016152 3158016 3181434 3256704 3331072 3344084 3435168 3672064 3686408 3747456 4005888 4021536 4131072 4147209 4210688 4241912 4342272 4580224 4737024 4772151 4996608 5016126 5152752 5362048 5508096 5529612 5789696 5832629 6008832 6032304 6316032 6362868 6513408 6662144 6688168 6870336 7344128 7372816 7494912 7524189 8011776 8043072 8262144 8294418 8483824 8684544 9160448 9196231 9474048 9544302 9993216 10032252 10305504 10724096 11016192 11059224 11579392 11665258 12017664 12064608 12632064 12725736 13026816 13324288 13376336 13740672 14688256 14745632 14989824 15048378 16086144 16524288 16588836 16967648 17369088 17497887 18320896 18392462 18948096 19088604 19986432 20064504 20611008 21448192 22032384 22118448 23158784 23330516 24035328 24129216 25451472 26053632 26648576 26752672 27481344 27588693 29376512 29491264 29979648 30096756 32172288 33048576 33177672 33935296 34738176 34995774 36641792 36784924 37896192 38177208 39972864 40129008 41222016 42896384 44064768 44236896 46317568 46661032 48258432 50902944 52107264 52493661 53297152 53505344 54962688 55177386 58982528 59959296 60193512 64344576 66097152 66355344 67870592 69476352 69991548 73283584 73569848 76354416 79945728 80258016 82444032 82766079 85792768 88129536 88473792 93322064 96516864 101805888 104214528 104987322 107010688 109925376 110354772 117965056 119918592 120387024 128689152 132194304 132710688 135741184 136271423 138952704 139983096 146567168 147139696 152708832 159891456 160516032 164888064 165532158 171585536 176947584 186644128 193033728 203611776 208429056 209974644 214021376 219850752 220709544 235930112 239837184 240774048 257378304 264388608 265421376 271482368 272542846 279966192 293134336 294279392 305417664 321032064 329776128 331064316 343171072 353895168 373288256 386067456 407223552 408814269 416858112 419949288 428042752 439701504 441419088 471860224 479674368 481548096 514756608 530842752 542964736 545085692 559932384 586268672 588558784 610835328 642064128 659552256 662128632 686342144 707790336 746576512 772134912 814447104 817628538 839898576 856085504 879403008 882838176 943720448 963096192 1029513216 1061685504 1085929472 1090171384 1119864768 1177117568 1221670656 1226442807 1284128256 1319104512 1324257264 1415580672 1493153024 1498985653 1544269824 1628894208 1635257076 1679797152 1712171008 1758806016 1765676352 1887440896 1926192384 2059026432 2123371008 2171858944 2180342768 2239729536 2354235136 2443341312 2452885614 2568256512 2638209024 2648514528 2831161344 2986306048 2997971306 3088539648 3257788416 3270514152 3359594304 3424342016 3531352704 3774881792 3852384768 4246742016 4343717888 4360685536 4479459072 4496956959 4708470272 4886682624 4905771228 5136513024 5276418048 5297029056 5662322688 5972612096 5995942612 6177079296 6515576832 6541028304 6719188608 6848684032 7062705408 7549763584 7704769536 8493484032 8687435776 8721371072 8958918144 8993913918 9416940544 9773365248 9811542456 10273026048 10594058112 11324645376 11945224192 11991885224 13031153664 13082056608 13438377216 13490870877 13697368064 14125410816 15409539072 16986968064 17442742144 17917836288 17987827836 18833881088 19546730496 19623084912 20546052096 21188116224 22649290752 23890448384 23983770448 26062307328 26164113216 26876754432 26981741754 28250821632 30819078144 33973936128 34885484288 35835672576 35975655672 37667762176 39093460992 39246169824 41092104192 42376232448 47780896768 47967540896 52328226432 53753508864 53963483508 56501643264 61638156288 67947872256 69770968576 71671345152 71951311344 75335524352 78186921984 78492339648 84752464896 95561793536 95935081792 104656452864 107507017728 107926967016 113003286528 123276312576 139541937152 143342690304 143902622688 150671048704 156984679296 169504929792 191870163584 209312905728 215014035456 215853934032 226006573056 279083874304 286685380608 287805245376 313969358592 339009859584 383740327168 418625811456 430028070912 431707868064 452013146112 558167748608 575610490752 627938717184 678019719168 767480654336 837251622912 860056141824 863415736128 1116335497216 1151220981504 1255877434368 1356039438336 1534961308672 1674503245824 1726831472256 2232670994432 2302441963008 2511754868736 3069922617344 3349006491648 3453662944512 4604883926016 5023509737472 6139845234688 6698012983296 6907325889024 9209767852032 10047019474944 12279690469376 13814651778048 18419535704064 20094038949888 24559380938752 27629303556096 36839071408128 55258607112192 73678142816256 110517214224384 221034428448768
• Sum of all divisors σ(n): 703788850005696
• Sum of proper divisors (its aliquot sum) s(n): 482754421556928
• 221034428448768 is an abundant number, because the sum of its proper divisors (482754421556928) is greater than itself. Its abundance is 261719993108160

Bases of 221034428448768

• Binary: 110010010000011110010110100101110100000000000000₂
• Hexadecimal: 0xC90796974000
• Base-36: 26CLTBRB40

Squares and roots of 221034428448768

• 221034428448768 squared (221034428448768²) is 48856218559673540570800717824
• 221034428448768 cubed (221034428448768³) is 10798906345505532397389305621094341208440832
• The square root of 221034428448768 is 14867226.6562653843
• The cube root of 221034428448768 is 60462.5753515473

Scales and comparisons

• 221,034,428,448,768 seconds is equal to 7,028,211 years, 6 weeks, 1 day, 18 hours, 52 minutes, 48 seconds.
• To count from 1 to 221,034,428,448,768 would take you about seventeen million, five hundred seventy thousand, five hundred twenty-seven 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 221034428448768 cubic inches would be around 5038.5 feet tall.

Recreational maths with 221034428448768

• 221034428448768 backwards is 867844824430122
• The number of decimal digits it has is: 15
• The sum of 221034428448768's digits is 63
• More coming soon!