21124934148132864

Names of 21124934148132864

• Cardinal: 21124934148132864 can be written as Twenty-one quadrillion, one hundred twenty-four trillion, nine hundred thirty-four billion, one hundred forty-eight million, one hundred thirty-two thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 2.1124934148132864 × 10¹⁶

Factors of 21124934148132864

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 2219

Divisors of 21124934148132864

• Number of divisors d(n): 819
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 256 288 294 336 343 384 392 441 448 504 512 576 588 672 686 768 784 882 896 1008 1024 1029 1152 1176 1344 1372 1536 1568 1764 1792 2016 2048 2058 2207 2304 2352 2401 2688 2744 3072 3087 3136 3528 3584 4032 4096 4116 4414 4608 4704 4802 5376 5488 6144 6174 6272 6621 7056 7168 7203 8064 8232 8828 9216 9408 9604 10752 10976 12288 12348 12544 13242 14112 14336 14406 15449 16128 16464 16807 17656 18432 18816 19208 19863 21504 21609 21952 24696 25088 26484 28224 28672 28812 30898 32256 32928 33614 35312 36864 37632 38416 39726 43008 43218 43904 46347 49392 50176 50421 52968 56448 57624 61796 64512 65856 67228 70624 75264 76832 79452 86016 86436 87808 92694 98784 100352 100842 105936 108143 112896 115248 117649 123592 129024 131712 134456 139041 141248 150528 151263 153664 158904 172872 175616 185388 197568 200704 201684 211872 216286 225792 230496 235298 247184 258048 263424 268912 278082 282496 301056 302526 307328 317808 324429 345744 351232 352947 370776 395136 403368 423744 432572 451584 460992 470596 494368 526848 537824 556164 564992 602112 605052 614656 635616 648858 691488 702464 705894 741552 757001 790272 806736 847488 865144 903168 921984 941192 973287 988736 1053696 1058841 1075648 1112328 1129984 1210104 1229312 1271232 1297716 1382976 1404928 1411788 1483104 1514002 1580544 1613472 1694976 1730288 1806336 1843968 1882384 1946574 1977472 2107392 2117682 2151296 2224656 2259968 2271003 2420208 2458624 2542464 2595432 2765952 2823576 2966208 3028004 3161088 3226944 3389952 3460576 3687936 3764768 3893148 3954944 4214784 4235364 4302592 4449312 4519936 4542006 4840416 4870849 4917248 5084928 5190864 5299007 5531904 5647152 5932416 6056008 6322176 6453888 6779904 6813009 6921152 7375872 7529536 7786296 7909888 8470728 8605184 8898624 9039872 9084012 9680832 9741698 9834496 10169856 10381728 10598014 11063808 11294304 11864832 12112016 12644352 12907776 13559808 13626018 13842304 14612547 14751744 15059072 15572592 15819776 15897021 16941456 17210368 17797248 18168024 19361664 19483396 20339712 20763456 21196028 22127616 22588608 23729664 24224032 25815552 27119616 27252036 27684608 29225094 29503488 30118144 31145184 31639552 31794042 33882912 34095943 34420736 35594496 36336048 37093049 38723328 38966792 40679424 41526912 42392056 43837641 44255232 45177216 47459328 47691063 48448064 51631104 54504072 55369216 58450188 60236288 62290368 63279104 63588084 67765824 68191886 68841472 71188992 72672096 74186098 77446656 77933584 81358848 83053824 84784112 87675282 88510464 90354432 94918656 95382126 96896128 102287829 103262208 109008144 110738432 111279147 116900376 120472576 124580736 127176168 135531648 136383772 142377984 145344192 148372196 154893312 155867168 166107648 169568224 175350564 180708864 189837312 190764252 193792256 204575658 206524416 218016288 221476864 222558294 233800752 238671601 240945152 249161472 254352336 259651343 271063296 272767544 284755968 290688384 296744392 306863487 309786624 311734336 332215296 333837441 339136448 350701128 361417728 381528504 387584512 409151316 436032576 442953728 445116588 467601504 477343202 481890304 498322944 508704672 519302686 542126592 545535088 569511936 581376768 593488784 613726974 619573248 623468672 664430592 667674882 678272896 701402256 716014803 722835456 763057008 775169024 778954029 818302632 872065152 890233176 935203008 954686404 996645888 1017409344 1038605372 1084253184 1091070176 1162753536 1186977568 1227453948 1246937344 1328861184 1335349764 1356545792 1402804512 1432029606 1445670912 1526114016 1550338048 1557908058 1636605264 1670701207 1744130304 1780466352 1870406016 1909372808 1993291776 2034818688 2077210744 2148044409 2168506368 2182140352 2325507072 2336862087 2373955136 2454907896 2493874688 2670699528 2713091584 2805609024 2864059212 3052228032 3100676096 3115816116 3273210528 3341402414 3488260608 3560932704 3740812032 3818745616 3986583552 4069637376 4154421488 4296088818 4337012736 4364280704 4651014144 4673724174 4747910272 4909815792 4987749376 5012103621 5341399056 5426183168 5611218048 5728118424 6104456064 6231632232 6546421056 6682804828 6976521216 7121865408 7481624064 7637491232 8139274752 8308842976 8592177636 8728561408 9302028288 9347448348 9495820544 9819631584 9975498752 10024207242 10682798112 10852366336 11222436096 11456236848 11694908449 12208912128 12463264464 13092842112 13365609656 13953042432 14243730816 14963248128 15036310863 15274982464 16278549504 16617685952 17184355272 17457122816 18694896696 18991641088 19639263168 19950997504 20048414484 21365596224 21704732672 22444872192 22912473696 23389816898 24417824256 24926528928 26185684224 26731219312 27906084864 28487461632 29926496256 30072621726 30549964928 32557099008 33235371904 34368710544 34914245632 35084725347 37389793392 37983282176 39278526336 40096828968 42731192448 44889744384 45824947392 46779633796 48835648512 49853057856 52371368448 53462438624 56974923264 59852992512 60145243452 61099929856 65114198016 66470743808 68737421088 69828491264 70169450694 74779586784 75966564352 78557052672 80193657936 81864359143 85462384896 89779488768 91649894784 93559267592 97671297024 99706115712 104742736896 105254176041 106924877248 113949846528 120290486904 122199859712 132941487616 137474842176 139656982528 140338901388 149559173568 151933128704 157114105344 160387315872 163728718286 170924769792 179558977536 183299789568 187118535184 195342594048 199412231424 209485473792 210508352082 213849754496 227899693056 240580973808 244399719424 245593077429 265882975232 274949684352 280677802776 299118347136 314228210688 320774631744 327457436572 341849539584 366599579136 374237070368 398824462848 418970947584 421016704164 427699508992 455799386112 481161947616 488799438848 491186154858 531765950464 549899368704 561355605552 573050514001 598236694272 628456421376 641549263488 654914873144 683699079168 733199158272 736779232287 748474140736 797648925696 842033408328 855399017984 962323895232 977598877696 982372309716 1063531900928 1099798737408 1122711211104 1146101028002 1196473388544 1256912842752 1283098526976 1309829746288 1367398158336 1466398316544 1473558464574 1496948281472 1595297851392 1684066816656 1710798035968 1719151542003 1924647790464 1964744619432 2199597474816 2245422422208 2292202056004 2392946777088 2566197053952 2619659492576 2932796633088 2947116929148 2993896562944 3190595702784 3368133633312 3421596071936 3438303084006 3849295580928 3929489238864 4399194949632 4490844844416 4584404112008 4785893554176 5132394107904 5157454626009 5239318985152 5894233858296 5987793125888 6736267266624 6843192143872 6876606168012 7698591161856 7858978477728 8798389899264 8981689688832 9168808224016 9571787108352 10264788215808 10314909252018 10478637970304 11788467716592 11975586251776 13472534533248 13753212336024 15397182323712 15717956955456 17963379377664 18337616448032 20529576431616 20629818504036 20957275940608 23576935433184 23951172503552 26945069066496 27506424672048 30794364647424 31435913910912 35926758755328 36675232896064 41259637008072 41914551881216 47153870866368 47902345007104 53890138132992 55012849344096 61588729294848 62871827821824 71853517510656 73350465792128 82519274016144 83829103762432 94307741732736 107780276265984 110025698688192 125743655643648 143707035021312 146700931584256 165038548032288 167658207524864 188615483465472 215560552531968 220051397376384 251487311287296 293401863168512 330077096064576 335316415049728 377230966930944 431121105063936 440102794752768 502974622574592 586803726337024 660154192129152 754461933861888 880205589505536 1005949245149184 1173607452674048 1320308384258304 1508923867723776 1760411179011072 2347214905348096 2640616768516608 3017847735447552 3520822358022144 5281233537033216 7041644716044288 10562467074066432 21124934148132864
• Sum of all divisors σ(n): 71222345524979467
• Sum of proper divisors (its aliquot sum) s(n): 50097411376846603
• 21124934148132864 is an abundant number, because the sum of its proper divisors (50097411376846603) is greater than itself. Its abundance is 28972477228713739

Bases of 21124934148132864

• Binary: 1001011000011010000010000000011110011011001000000000000₂
• Hexadecimal: 0x4B0D0403CD9000
• Base-36: 5S05WRU5TS0

Squares and roots of 21124934148132864

• 21124934148132864 squared (21124934148132864²) is 446262842762949972405297396842496
• 21124934148132864 cubed (21124934148132864³) is 9427273166125888807621181259787208561287489388544
• 21124934148132864 is a perfect square number. Its square root is 145344192
• The cube root of 21124934148132864 is 276438.4534409277

Scales and comparisons

• 21,124,934,148,132,864 seconds is equal to 671,707,562 years, 10 weeks, 2 days, 10 hours, 14 minutes, 24 seconds.
• To count from 1 to 21,124,934,148,132,864 would take you about two billion, fifteen million, one hundred twenty-two thousand, six hundred eighty-six 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 21124934148132864 cubic inches would be around 23036.5 feet tall.

Recreational maths with 21124934148132864

• 21124934148132864 backwards is 46823184143942112
• 21124934148132864 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21124934148132864's digits is 63
• More coming soon!