221697890368223328

Names of 221697890368223328

• Cardinal: 221697890368223328 can be written as Two hundred twenty-one quadrillion, six hundred ninety-seven trillion, eight hundred ninety billion, three hundred sixty-eight million, two hundred twenty-three thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 2.21697890368223328 × 10¹⁷

Factors of 221697890368223328

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 10796

Divisors of 221697890368223328

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 139 144 162 216 243 278 288 324 379 417 432 486 556 648 758 834 864 972 1112 1137 1251 1296 1516 1668 1944 2224 2274 2502 2592 3032 3336 3411 3753 3888 4448 4548 5004 6064 6672 6822 7506 7776 9096 10008 10233 10273 11259 12128 13344 13644 15012 18192 19321 20016 20466 20546 22518 27288 30024 30699 30819 33777 36384 38642 40032 40932 41092 45036 52681 54576 57963 60048 61398 61638 67554 77284 81864 82184 90072 92097 92457 105362 109152 115926 120096 122796 123276 135108 143641 154568 158043 163728 164368 173889 180144 184194 184914 210724 231852 245592 246552 270216 277371 287282 309136 316086 327456 328736 347778 360288 368388 369828 421448 430923 463704 474129 491184 493104 521667 540432 554742 574564 618272 632172 695556 736776 739656 832113 842896 861846 927408 948258 982368 986208 1043334 1080864 1109484 1149128 1264344 1292769 1391112 1422387 1427947 1473552 1479312 1565001 1664226 1685792 1723692 1854816 1896516 2086668 2218968 2298256 2496339 2528688 2585538 2782224 2844774 2855894 2947104 2958624 3130002 3328452 3447384 3793032 3878307 3893467 4173336 4267161 4283841 4437936 4596512 4695003 4992678 5057376 5171076 5564448 5689548 5711788 6260004 6656904 6894768 7322659 7586064 7756614 7786934 8346672 8534322 8567682 8875872 9390006 9985356 10342152 11379096 11423576 11634921 11680401 12520008 12801483 12851523 13313808 13789536 14645318 15172128 15513228 15573868 16693344 17068644 17135364 18780012 19966099 19970712 20684304 21967977 22758192 22847152 23269842 23360802 25040016 25602966 25703046 26627616 29290636 31026456 31147736 34137288 34270728 34904763 35041203 37560024 38554569 39932198 39941424 41368608 43935954 45516384 45694304 46539684 46721604 50080032 51205932 51406092 58581272 59898297 62052912 62295472 65903931 68274576 68541456 69809526 70082406 75120048 77109138 79864396 79882848 87871908 93079368 93443208 102411864 102812184 105123609 115663707 117162544 119796594 124105824 124590944 131807862 136549152 137082912 139619052 140164812 150240096 154218276 159728792 175743816 179694891 186158736 186886416 197711793 198484633 204823728 205624368 210247218 231327414 234325088 239593188 263615724 279238104 280329624 308436552 315370827 319457584 346991121 351487632 359389782 372317472 373772832 395423586 396969266 409647456 411248736 420494436 462654828 479186376 527231448 539084673 541191913 558476208 560659248 593135379 595453899 616873104 630741654 638915168 693982242 702975264 718779564 790847172 793938532 840988872 925309656 946112481 958372752 1054462896 1078169346 1082383826 1116952416 1121318496 1186270758 1190907798 1233746208 1261483308 1387964484 1437559128 1475623993 1581694344 1587877064 1617254019 1623575739 1681977744 1779406137 1786361697 1850619312 1892224962 1916745504 2108925792 2156338692 2164767652 2372541516 2381815596 2522966616 2775287761 2775928968 2875118256 2951247986 3163388688 3175754128 3234508038 3247151478 3363955488 3558812274 3572723394 3701238624 3784449924 4312677384 4329535304 4426871979 4745083032 4763631192 4851762057 4870727217 5045933232 5359085091 5550575522 5551857936 5750236512 5902495972 6326777376 6351508256 6469016076 6494302956 7117624548 7145446788 7568899848 8325863283 8625354768 8659070608 8853743958 9490166064 9527262384 9703524114 9741454434 10091866464 10718170182 11101151044 11103715872 11804991944 12938032152 12988605912 13280615937 14235249096 14290893576 14612181651 15137799696 16077255273 16651726566 17250709536 17318141216 17707487916 18980332128 19054524768 19407048228 19482908868 21436340364 22202302088 23609983888 24977589849 25876064304 25977211824 26561231874 28470498192 28581787152 29224363302 30275599392 32154510546 33303453132 35414975832 38814096456 38965817736 39841847811 42872680728 43836544953 44404604176 47219967776 48231765819 49955179698 51752128608 51954423648 53122463748 56940996384 57163574304 58448726604 64309021092 66606906264 70829951664 74932769547 75225675907 77628192912 77931635472 79683695622 85745361456 87673089906 88809208352 96463531638 99910359396 106244927496 116897453208 119525543433 128618042184 131509634859 133213812528 141659903328 149865539094 150451351814 155256385824 155863270944 159367391244 171490722912 175346179812 192927063276 199820718792 205111735027 212489854992 224798308641 225677027721 233794906416 239051086866 257236084368 263019269718 266427625056 299731078188 300902703628 318734782488 350692359624 358576630299 385854126552 399641437584 410223470054 424979709984 449596617282 451354055442 467589812832 478102173732 514472168736 526038539436 599462156376 601805407256 615335205081 637469564976 674394925923 677031083163 701384719248 717153260598 771708253104 799282875168 820446940108 899193234564 902708110884 956204347464 1052077078872 1198924312752 1203610814512 1230670410162 1274939129952 1348789851846 1354062166326 1402769438496 1434306521196 1543416506208 1640893880216 1798386469128 1805416221768 1846005615243 1912408694928 2031093249489 2104154157744 2397848625504 2407221629024 2461340820324 2697579703692 2708124332652 2868613042392 3281787760432 3596772938256 3610832443536 3692011230486 3824817389856 4062186498978 4208308315488 4922681640648 5395159407384 5416248665304 5538016845729 5737226084784 6093279748467 6563575520864 7193545876512 7221664887072 7384022460972 8124372997956 9845363281296 10790318814768 10832497330608 11076033691458 11474452169568 12186559496934 14768044921944 16248745995912 16614050537187 18279839245401 19690726562592 21580637629536 21664994661216 22152067382916 24373118993868 28510531168753 29536089843888 32497491991824 33228101074374 36559678490802 44304134765832 48746237987736 49842151611561 57021062337506 59072179687776 64994983983648 66456202148748 73119356981604 85531593506259 88608269531664 97492475975472 99684303223122 114042124675012 132912404297496 146238713963208 171063187012518 177216539063328 194984951950944 199368606446244 228084249350024 256594780518777 265824808594992 292477427926416 342126374025036 398737212892488 456168498700048 513189561037554 531649617189984 584954855852832 684252748050072 769784341556331 797474425784976 912336997400096 1026379122075108 1368505496100144 1539568683112662 1594948851569952 2052758244150216 2309353024668993 2737010992200288 3079137366225324 4105516488300432 4618706049337986 6158274732450648 6928059074006979 8211032976600864 9237412098675972 12316549464901296 13856118148013958 18474824197351944 24633098929802592 27712236296027916 36949648394703888 55424472592055832 73899296789407776 110848945184111664 221697890368223328
• Sum of all divisors σ(n): 660347395449349608
• Sum of proper divisors (its aliquot sum) s(n): 438649505081126280
• 221697890368223328 is an abundant number, because the sum of its proper divisors (438649505081126280) is greater than itself. Its abundance is 216951614712902952

Bases of 221697890368223328

• Binary: 1100010011101000010000111010000010110110011111100001100000₂
• Hexadecimal: 0x313A10E82D9F860
• Base-36: 1OMXCCTRC600

Squares and roots of 221697890368223328

• 221697890368223328 squared (221697890368223328²) is 49149954593720769868344259283395584
• 221697890368223328 cubed (221697890368223328³) is 10896441245121861780536249860385558011144577080983552
• The square root of 221697890368223328 is 470848054.4381842595
• The cube root of 221697890368223328 is 605230.1020033773

Scales and comparisons

• 221,697,890,368,223,328 seconds is equal to 7,049,307,157 years, 5 weeks, 4 days, 18 hours, 28 minutes, 48 seconds.
• To count from 1 to 221,697,890,368,223,328 would take you about twenty-one billion, one hundred forty-seven million, nine hundred twenty-one thousand, four hundred seventy-one 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 221697890368223328 cubic inches would be around 50435.8 feet tall.

Recreational maths with 221697890368223328

• 221697890368223328 backwards is 823322863098796122
• 221697890368223328 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 221697890368223328's digits is 81
• More coming soon!