224001834115329144

Names of 224001834115329144

• Cardinal: 224001834115329144 can be written as Two hundred twenty-four quadrillion, one trillion, eight hundred thirty-four billion, one hundred fifteen million, three hundred twenty-nine thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 2.24001834115329144 × 10¹⁷

Factors of 224001834115329144

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1690

Divisors of 224001834115329144

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 107 108 126 147 168 189 196 214 216 252 294 321 343 378 392 428 441 504 588 642 686 749 756 856 882 963 1029 1176 1284 1323 1372 1498 1512 1571 1764 1926 2058 2247 2568 2646 2744 2889 2996 3087 3142 3528 3852 4116 4494 4713 5243 5292 5778 5992 6174 6284 6741 7704 8232 8988 9261 9426 10486 10584 10997 11449 11556 12348 12568 13482 14139 15729 17976 18522 18852 20223 20972 21994 22898 23112 24696 26964 28278 31458 32991 34347 36701 37044 37704 40446 41944 42417 43988 45796 47187 53928 56556 62916 65982 68694 73402 74088 76979 80143 80892 84834 87976 91592 94374 98973 103041 110103 113112 125832 131964 137388 141561 146804 153958 160286 161784 168097 169668 188748 197946 206082 220206 230937 240429 263928 274776 283122 293608 296919 307916 309123 320572 330309 336194 339336 377496 395892 412164 440412 461874 480858 504291 538853 561001 566244 593838 615832 618246 641144 660618 672388 692811 721287 791784 824328 880824 923748 961716 990927 1008582 1077706 1122002 1132488 1176679 1187676 1225043 1236492 1321236 1344776 1385622 1442574 1512873 1616559 1683003 1847496 1923432 1981854 2017164 2078433 2155412 2163861 2244004 2353358 2375352 2450086 2468041 2472984 2642472 2771244 2885148 3025746 3233118 3366006 3530037 3675129 3927007 3963708 4034328 4156866 4310824 4327722 4488008 4538619 4706716 4849677 4900172 4936082 5049009 5542488 5770296 6051492 6466236 6732012 7060074 7350258 7404123 7854014 7927416 8236753 8313732 8575301 8655444 9077238 9413432 9699354 9800344 9872164 10098018 10590111 11025387 11781021 12102984 12932472 13464024 14120148 14549031 14700516 14808246 15147027 15708028 16473506 16627464 17150602 17276287 17310888 17986379 18154476 19398708 19744328 20196036 21180222 22050774 22212369 23562042 24710259 25725903 28240296 29098062 29401032 29616492 30294054 31416056 31770333 32947012 33076161 34301204 34552574 35343063 35972758 36308952 38797416 40392072 42360444 44101548 44424738 47124084 49420518 51451806 51828861 53959137 57657271 58196124 59232984 60027107 60588108 63540666 65894024 66152322 66637107 68602408 69105148 70686126 71945516 74130777 77177709 84720888 88203096 88849476 94248168 98841036 102903612 103657722 106029189 107918274 115314542 116392248 120054214 120934009 121176216 125904653 127081332 132304644 133274214 138210296 141372252 143891032 148261554 154355418 155486583 161877411 172971813 177698952 180081321 197682072 205807224 207315444 212058378 215836548 222392331 230629084 231533127 240108428 241868018 251809306 254162664 264080387 264609288 266548428 282744504 296523108 308710836 310973166 323754822 345943626 360162642 362802027 377713959 414630888 420189749 424116756 431673096 444784662 461258168 463066254 466459749 480216856 483736036 485632233 503618612 518915439 528160774 533096856 540243963 593046216 617421672 621946332 647509644 691887252 720325284 725604054 755427918 792241161 840379498 846538063 848233512 881332571 889569324 926132508 932919498 967472072 971264466 1007237224 1037830878 1056321548 1080487926 1088406081 1133141877 1243892664 1260569247 1295019288 1383774504 1440650568 1451208108 1510855836 1556746317 1584482322 1620731889 1680758996 1693076126 1762665142 1779138648 1848562709 1852265016 1865838996 1924542553 1942528932 2075661756 2112643096 2160975852 2176812162 2266283754 2376723483 2521138494 2539614189 2643997713 2902416216 3021711672 3113492634 3168964644 3241463778 3265218243 3361517992 3386152252 3399425631 3525330284 3697125418 3731677992 3781707741 3849085106 3885057864 4151323512 4321951704 4353624324 4532567508 4753446966 5042276988 5079228378 5287995426 5545688127 5773627659 6169327997 6226985268 6337929288 6482927556 6530436486 6772304504 6798851262 7050660568 7130170449 7394250836 7563415482 7618842567 7698170212 7931993139 8707248648 9065135016 9506893932 10084553976 10158456756 10575990852 11091376254 11345123223 11547255318 12338655994 12453970536 12939938963 12965855112 13060872972 13471797871 13597702524 14260340898 14788501672 15126830964 15237685134 15396340424 15863986278 16637064381 17320882977 18507983991 19013787864 20316913512 21151981704 22182752508 22690246446 22856527701 23094510636 23795979417 24677311988 25879877926 26121745944 26943595742 27195405048 28256601409 28520681796 30253661928 30475370268 31727972556 33274128762 34641765954 37015967982 38819816889 40415393613 44365505016 45380492892 45713055402 46189021272 47591958834 49354623976 49911193143 51759755852 51962648931 53887191484 55523951973 56513202818 57041363592 60950740536 63455945112 66548257524 69283531908 74031935964 77639633778 80830787226 84769804227 90579572741 90760985784 91426110804 94302585097 95183917668 99822386286 103519511704 103925297862 107774382968 111047903946 113026405636 116459450667 121246180839 133096515048 138567063816 148063871928 155279267556 161661574452 166571855919 169539608454 181159145482 182852221608 188605170194 190367835336 197796209863 199644772572 207850595724 222095807892 226052811272 232918901334 242492361678 254309412681 271738718223 282907755291 310558535112 323323148904 333143711838 339079216908 349378352001 362318290964 363738542517 377210340388 395592419726 399289545144 415701191448 444191615784 465837802668 484984723356 508618825362 543477436446 565815510582 593388629589 660118095679 666287423676 678158433816 698756704002 724636581928 727477085034 754420680776 762928238043 791184839452 815216154669 848723265873 931675605336 969969446712 1017237650724 1086954872892 1131631021164 1186777259178 1320236191358 1332574847352 1384573469041 1397513408004 1454954170068 1525856476086 1582369678904 1630432309338 1697446531746 1780165888767 1980354287037 2034475301448 2173909745784 2263262042328 2373554518356 2445648464007 2546169797619 2640472382716 2769146938082 2795026816008 2909908340136 3023456350763 3051712952172 3260864618676 3394893063492 3560331777534 3960708574074 4153720407123 4747109036712 4891296928014 5092339595238 5280944765432 5340497666301 5538293876164 5941062861111 6046912701526 6103425904344 6521729237352 6789786126984 7120663555068 7921417148148 8307440814246 9070369052289 9692014283287 9782593856028 10184679190476 10680995332602 11076587752328 11882125722222 12093825403052 12461161221369 14241327110136 15842834296296 16614881628492 17823188583333 18140738104578 19384028566574 19565187712056 20369358380952 21164194455341 21361990665204 23764251444444 24187650806104 24922322442738 27211107156867 29076042849861 33229763256984 35646377166666 36281476209156 37383483664107 38768057133148 42328388910682 42723981330408 47528502888888 49844644885476 54422214313734 58152085699722 63492583366023 71292754333332 72562952418312 74766967328214 77536114266296 81633321470601 84656777821364 87228128549583 99689289770952 108844428627468 116304171399444 126985166732046 142585508666664 148149361187387 149533934656428 163266642941202 169313555642728 174456257099166 190477750098069 217688857254936 232608342798888 253970333464092 261684385648749 296298722374774 299067869312856 326533285882404 348912514198332 380955500196138 444448083562161 507940666928184 523368771297498 571433250294207 592597444749548 653066571764808 697825028396664 761911000392276 888896167124322 1037045528311709 1046737542594996 1142866500588414 1185194889499096 1333344250686483 1523822000784552 1777792334248644 2074091056623418 2093475085189992 2285733001176828 2666688501372966 3111136584935127 3555584668497288 4000032752059449 4148182113246836 4571466002353656 5333377002745932 6222273169870254 8000065504118898 8296364226493672 9333409754805381 10666754005491864 12444546339740508 16000131008237796 18666819509610762 24889092679481016 28000229264416143 32000262016475592 37333639019221524 56000458528832286 74667278038443048 112000917057664572 224001834115329144
• Sum of all divisors σ(n): 732941624592000000
• Sum of proper divisors (its aliquot sum) s(n): 508939790476670856
• 224001834115329144 is an abundant number, because the sum of its proper divisors (508939790476670856) is greater than itself. Its abundance is 284937956361341712

Bases of 224001834115329144

• Binary: 1100011011110100000111101100110111011110101110110001111000₂
• Hexadecimal: 0x31BD07B377AEC78
• Base-36: 1P9M0TZ0ASU0

Squares and roots of 224001834115329144

• 224001834115329144 squared (224001834115329144²) is 50176821687031435552601003455772736
• 224001834115329144 cubed (224001834115329144³) is 11239700087972865473241399607706071453293135501417984
• The square root of 224001834115329144 is 473288320.2819705585
• The cube root of 224001834115329144 is 607319.4519463173

Scales and comparisons

• 224,001,834,115,329,144 seconds is equal to 7,122,565,441 years, 36 weeks, 3 days, 6 hours, 32 minutes, 24 seconds.
• To count from 1 to 224,001,834,115,329,144 would take you about twenty-one billion, three hundred sixty-seven million, six hundred ninety-six thousand, three hundred twenty-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 224001834115329144 cubic inches would be around 50610 feet tall.

Recreational maths with 224001834115329144

• 224001834115329144 backwards is 441923511438100422
• 224001834115329144 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 224001834115329144's digits is 54
• More coming soon!