221427448693057152

Names of 221427448693057152

• Cardinal: 221427448693057152 can be written as Two hundred twenty-one quadrillion, four hundred twenty-seven trillion, four hundred forty-eight billion, six hundred ninety-three million, fifty-seven thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 2.21427448693057152 × 10¹⁷

Factors of 221427448693057152

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1001523260

Divisors of 221427448693057152

• Number of divisors d(n): 1024
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 32 36 37 38 39 42 48 52 54 56 57 63 64 72 74 76 78 84 91 96 104 108 111 112 114 117 126 128 133 144 148 152 156 168 171 182 189 192 208 216 222 224 228 234 247 252 259 266 273 288 296 304 312 333 336 342 351 364 378 384 399 416 432 444 448 456 468 481 494 504 513 518 532 546 576 592 608 624 666 672 684 702 703 728 741 756 777 798 819 832 864 888 896 912 936 962 988 999 1008 1026 1036 1064 1092 1152 1184 1197 1216 1248 1332 1344 1368 1404 1406 1443 1456 1482 1512 1554 1596 1638 1664 1728 1729 1776 1824 1872 1924 1976 1998 2016 2052 2072 2109 2128 2184 2223 2331 2368 2394 2432 2457 2496 2664 2688 2736 2808 2812 2886 2912 2964 3024 3108 3192 3276 3367 3456 3458 3552 3591 3648 3744 3848 3952 3996 4032 4104 4144 4218 4256 4329 4368 4446 4662 4736 4788 4914 4921 4992 5187 5328 5472 5616 5624 5772 5824 5928 6048 6216 6327 6384 6552 6669 6734 6916 6993 7104 7182 7296 7488 7696 7904 7992 8064 8208 8288 8436 8512 8658 8736 8892 9139 9324 9576 9828 9842 10101 10374 10656 10944 11232 11248 11544 11648 11856 12096 12432 12654 12768 12987 13104 13338 13468 13832 13986 14208 14364 14763 14976 15392 15561 15808 15984 16416 16576 16872 17024 17316 17472 17784 18278 18648 18981 19152 19656 19684 20202 20748 21312 21888 22464 22496 23088 23712 24192 24864 25308 25536 25974 26208 26676 26936 27417 27664 27972 28728 29526 30303 30784 31122 31616 31968 32832 33152 33744 34632 34944 35568 36556 37296 37962 38304 39312 39368 40404 41496 42624 44289 44928 44992 46176 46683 47424 49728 50616 51072 51948 52416 53352 53872 54834 55328 55944 57456 59052 60606 61568 62244 63936 63973 65664 67488 69264 71136 73112 74592 75924 76608 78624 78736 80808 82251 82992 88578 89984 90909 92352 93366 94848 99456 101232 103896 104832 106704 107744 109668 110656 111888 114912 118104 121212 124488 127872 127946 132867 134976 138528 142272 146224 149184 151848 153216 157248 157472 161616 164502 165984 177156 181818 184704 186732 191919 202464 207792 213408 215488 219336 221312 223776 229824 236208 242424 246753 248976 255892 265734 269952 277056 284544 292448 298368 303696 314496 314944 323232 329004 331968 354312 363636 373464 383838 404928 415584 426816 430976 438672 447552 459648 472416 484848 493506 497952 511784 531468 554112 575757 584896 607392 629888 646464 658008 663936 708624 727272 746928 767676 809856 831168 853632 877344 895104 944832 969696 987012 995904 1023568 1062936 1151514 1169792 1214784 1292928 1316016 1417248 1454544 1493856 1535352 1662336 1727271 1754688 1889664 1939392 1974024 1991808 2047136 2125872 2303028 2429568 2632032 2834496 2909088 2987712 3070704 3454542 3509376 3878784 3948048 4094272 4251744 4606056 5264064 5668992 5818176 5975424 6141408 6909084 7896096 8188544 8503488 9212112 10528128 11636352 12282816 13818168 15792192 17006976 18424224 24565632 27636336 31584384 36848448 55272672 73696896 110545344 221090688 1001523179 2003046358 3004569537 4006092716 6009139074 7010662253 8012185432 9013708611 12018278148 13019801327 14021324506 16024370864 18027417222 19028940401 21031986759 24036556296 26039602654 27041125833 28042649012 32048741728 36054834444 37056357623 38057880802 39059403981 42063973518 48073112592 52079205308 54082251666 56085298024 57086821203 63095960277 64097483456 72109668888 74112715246 76115761604 78118807962 84127947036 91138609289 96146225184 104158410616 108164503332 111169072869 112170596048 114173642406 117178211943 126191920554 128194966912 133202582807 144219337776 148225430492 152231523208 156237615924 168255894072 171260463609 182277218578 189287880831 192292450368 208316821232 216329006664 222338145738 224341192096 228347284812 234356423886 247376225213 252383841108 259394503361 266405165614 273415827867 288438675552 296450860984 304463046416 312475231848 333507218607 336511788144 342520927218 351534635829 364554437156 378575761662 384584900736 399607748421 416633642464 432658013328 444676291476 448682384192 456694569624 468712847772 481732649099 494752450426 504767682216 513781390827 518789006722 532810331228 546831655734 576877351104 592901721968 608926092832 624950463696 667014437214 673023576288 685041854436 703069271658 704070794837 729108874312 742128675639 757151523324 778183510083 799215496842 820247483601 833267284928 865316026656 889352582952 897364768384 913389139248 937425695544 963465298198 989504900852 1000521655821 1009535364432 1027562781654 1037578013444 1065620662456 1093663311468 1153754702208 1185803443936 1198823245263 1217852185664 1249900927392 1334028874428 1346047152576 1370083708872 1406138543316 1408141589674 1445197947297 1458217748624 1484257351278 1514303046648 1556367020166 1598430993684 1640494967202 1666534569856 1730632053312 1731633576491 1778705165904 1826778278496 1874851391088 1926930596396 1979009801704 2001043311642 2019070728864 2055125563308 2075156026888 2112212384511 2131241324912 2187326622936 2226386026917 2334550530249 2371606887872 2397646490526 2435704371328 2460742450803 2499801854784 2668057748856 2692094305152 2740167417744 2812277086632 2816283179348 2890395894594 2916435497248 2968514702556 3028606093296 3112734040332 3196861987368 3280989934404 3372128543693 3461264106624 3463267152982 3557410331808 3596469735789 3653556556992 3749702782176 3853861192792 3958019603408 4002086623284 4038141457728 4110251126616 4150312053776 4224424769022 4262482649824 4335593841891 4374653245872 4452772053834 4669101060498 4743213775744 4795292981052 4921484901606 4928495563859 4999603709568 5194900729473 5336115497712 5480334835488 5624554173264 5632566358696 5780791789188 5832870994496 5937029405112 6057212186592 6225468080664 6336637153533 6393723974736 6561979868808 6679158080751 6744257087386 6926534305964 7003651590747 7114820663616 7192939471578 7307113113984 7499405564352 7707722385584 7916039206816 8004173246568 8076282915456 8220502253232 8300624107552 8448849538044 8524965299648 8671187683782 8749306491744 8905544107668 9152920332881 9338202120996 9590585962104 9842969803212 9856991127718 10116385631079 10389801458946 10672230995424 10960669670976 11249108346528 11265132717392 11561583578376 11665741988992 11874058810224 12114424373184 12450936161328 12673274307066 12787447949472 13006781525673 13123959737616 13358316161502 13488514174772 13853068611928 14007303181494 14229641327232 14385878943156 14785486691577 14998811128704 15415444771168 15584702188419 15832078413632 16008346493136 16441004506464 16601248215104 16897699076088 17049930599296 17342375367564 17498612983488 17811088215336 18305840665762 18676404241992 19009911460599 19181171924208 19685939606424 19713982255436 20232771262158 20779602917892 21344461990848 21921339341952 22498216693056 22530265434784 23123167156752 23748117620448 24228848746368 24901872322656 25346548614132 25574895898944 26013563051346 26247919475232 26716632323004 26977028349544 27458760998643 27706137223856 28014606362988 28771757886312 29570973383154 30349156893237 30830889542336 31169404376838 31664156827264 32016692986272 32882009012928 33202496430208 33795398152176 34684750735128 34997225966976 35622176430672 36611681331524 37352808483984 38019822921198 38362343848416 39371879212848 39427964510872 40465542524316 41559205835784 42688923981696 44356460074731 44996433386112 45060530869568 46246334313504 46754106565257 47496235240896 49803744645312 50693097228264 51149791797888 52027126102692 52495838950464 53433264646008 53954056699088 54917521997286 55412274447712 56029212725976 57543515772624 59141946766308 60698313786474 61661779084672 62338808753676 64033385972544 64070442330167 65764018025856 67590796304352 69369501470256 71244352861344 73223362663048 74705616967968 76039645842396 76724687696832 78743758425696 78855929021744 80931085048632 82376282995929 83118411671568 88712920149462 90121061739136 91047470679711 92492668627008 93508213130514 94992470481792 99607489290624 101386194456528 104054252205384 104991677900928 106866529292016 107908113398176 109835043994572 110824548895424 112058425451952 115087031545248 118283893532616 121396627572948 124677617507352 128066771945088 128140884660334 133069380224193 135181592608704 138739002940512 142488705722688 146446725326096 149411233935936 152079291684792 153449375393664 157487516851392 157711858043488 161862170097264 164752565991858 166236823343136 177425840298924 182094941359422 184985337254016 187016426261028 192211326990501 202772388913056 208108504410768 213733058584032 215816226796352 219670087989144 221649097790848 224116850903904 230174063090496 236567787065232 242793255145896 247128848987787 249355235014704 256281769320668 266138760448386 270363185217408 277478005881024 284977411445376 292893450652192 298822467871872 304158583369584 314975033702784 315423716086976 323724340194528 329505131983716 332473646686272 354851680597848 364189882718844 374032852522056 384422653981002 405544777826112 416217008821536 427466117168064 431632453592704 439340175978288 448233701807808 460348126180992 473135574130464 485586510291792 494257697975574 498710470029408 512563538641336 532277520896772 554956011762048 576633980971503 585786901304384 608317166739168 630847432173952 647448680389056 659010263967432 664947293372544 709703361195696 728379765437688 748065705044112 768845307962004 811089555652224 832434017643072 854932234336128 878680351956576 896467403615616 946271148260928 971173020583584 988515395951148 997420940058816 1025127077282672 1064555041793544 1153267961943006 1171573802608768 1216634333478336 1294897360778112 1318020527934864 1419406722391392 1456759530875376 1496131410088224 1537690615924008 1664868035286144 1729901942914509 1757360703913152 1892542296521856 1942346041167168 1977030791902296 1994841880117632 2050254154565344 2129110083587088 2306535923886012 2433268666956672 2636041055869728 2838813444782784 2913519061750752 2992262820176448 3075381231848016 3459803885829018 3514721407826304 3884692082334336 3954061583804592 4100508309130688 4258220167174176 4613071847772024 5272082111739456 5677626889565568 5827038123501504 5984525640352896 6150762463696032 6919607771658036 7908123167609184 8201016618261376 8516440334348352 9226143695544048 10544164223478912 11654076247003008 12301524927392064 13839215543316072 15816246335218368 17032880668696704 18452287391088096 24603049854784128 27678431086632144 31632492670436736 36904574782176192 55356862173264288 73809149564352384 110713724346528576 221427448693057152
• Sum of all divisors σ(n): 869546461432320000
• Sum of proper divisors (its aliquot sum) s(n): 648119012739262848
• 221427448693057152 is an abundant number, because the sum of its proper divisors (648119012739262848) is greater than itself. Its abundance is 426691564046205696

Bases of 221427448693057152

• Binary: 1100010010101010110001011101100110110111101110011010000000₂
• Hexadecimal: 0x312AB1766DEE680
• Base-36: 1OK9H9MWJHC0

Squares and roots of 221427448693057152

• 221427448693057152 squared (221427448693057152²) is 49030115034716457451344407938351104
• 221427448693057152 cubed (221427448693057152³) is 10856613281264368465244745547617960223582399714295808
• The square root of 221427448693057152 is 470560781.0825899587
• The cube root of 221427448693057152 is 604983.9020310215

Scales and comparisons

• 221,427,448,693,057,152 seconds is equal to 7,040,707,948 years, 19 weeks, 1 day, 16 hours, 19 minutes, 12 seconds.
• To count from 1 to 221,427,448,693,057,152 would take you about twenty-one billion, one hundred twenty-two million, one hundred twenty-three thousand, eight hundred forty-five 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 221427448693057152 cubic inches would be around 50415.3 feet tall.

Recreational maths with 221427448693057152

• 221427448693057152 backwards is 251750396844724122
• 221427448693057152 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 221427448693057152's digits is 72
• More coming soon!