13824080531190448128
13,824,080,531,190,448,128 is an even composite number composed of four prime numbers multiplied together.
13824080531190448128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred eighty-four divisors.
Prime factorization of 13824080531190448128:
248 × 33 × 17 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 107)See below for interesting mathematical facts about the number 13824080531190448128 from the Numbermatics database.
Names of 13824080531190448128
- Cardinal: 13824080531190448128 can be written as Thirteen quintillion, eight hundred twenty-four quadrillion, eighty trillion, five hundred thirty-one billion, one hundred ninety million, four hundred forty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3824080531190448128 × 1019
Factors of 13824080531190448128
Divisors of 13824080531190448128
- Number of divisors d(n): 784
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 107 108 128 136 144 153 192 204 214 216 256 272 288 306 321 384 408 428 432 459 512 544 576 612 642 768 816 856 864 918 963 1024 1088 1152 1224 1284 1536 1632 1712 1728 1819 1836 1926 2048 2176 2304 2448 2568 2889 3072 3264 3424 3456 3638 3672 3852 4096 4352 4608 4896 5136 5457 5778 6144 6528 6848 6912 7276 7344 7704 8192 8704 9216 9792 10272 10914 11556 12288 13056 13696 13824 14552 14688 15408 16371 16384 17408 18432 19584 20544 21828 23112 24576 26112 27392 27648 29104 29376 30816 32742 32768 34816 36864 39168 41088 43656 46224 49113 49152 52224 54784 55296 58208 58752 61632 65484 65536 69632 73728 78336 82176 87312 92448 98226 98304 104448 109568 110592 116416 117504 123264 130968 131072 139264 147456 156672 164352 174624 184896 196452 196608 208896 219136 221184 232832 235008 246528 261936 262144 278528 294912 313344 328704 349248 369792 392904 393216 417792 438272 442368 465664 470016 493056 523872 524288 557056 589824 626688 657408 698496 739584 785808 786432 835584 876544 884736 931328 940032 986112 1047744 1048576 1114112 1179648 1253376 1314816 1396992 1479168 1571616 1572864 1671168 1753088 1769472 1862656 1880064 1972224 2095488 2097152 2228224 2359296 2506752 2629632 2793984 2958336 3143232 3145728 3342336 3506176 3538944 3725312 3760128 3944448 4190976 4194304 4456448 4718592 5013504 5259264 5587968 5916672 6286464 6291456 6684672 7012352 7077888 7450624 7520256 7888896 8381952 8388608 8912896 9437184 10027008 10518528 11175936 11833344 12572928 12582912 13369344 14024704 14155776 14901248 15040512 15777792 16763904 16777216 17825792 18874368 20054016 21037056 22351872 23666688 25145856 25165824 26738688 28049408 28311552 29802496 30081024 31555584 33527808 33554432 35651584 37748736 40108032 42074112 44703744 47333376 50291712 50331648 53477376 56098816 56623104 59604992 60162048 63111168 67055616 67108864 71303168 75497472 80216064 84148224 89407488 94666752 100583424 100663296 106954752 112197632 113246208 119209984 120324096 126222336 134111232 134217728 142606336 150994944 160432128 168296448 178814976 189333504 201166848 201326592 213909504 224395264 226492416 238419968 240648192 252444672 268222464 268435456 285212672 301989888 320864256 336592896 357629952 378667008 402333696 402653184 427819008 448790528 452984832 476839936 481296384 504889344 536444928 536870912 570425344 603979776 641728512 673185792 715259904 757334016 804667392 805306368 855638016 897581056 905969664 953679872 962592768 1009778688 1072889856 1073741824 1140850688 1207959552 1283457024 1346371584 1430519808 1514668032 1609334784 1610612736 1711276032 1795162112 1811939328 1907359744 1925185536 2019557376 2145779712 2147483648 2281701376 2415919104 2566914048 2692743168 2861039616 3029336064 3218669568 3221225472 3422552064 3590324224 3623878656 3814719488 3850371072 4039114752 4291559424 4294967296 4563402752 4831838208 5133828096 5385486336 5722079232 6058672128 6437339136 6442450944 6845104128 7180648448 7247757312 7629438976 7700742144 8078229504 8583118848 8589934592 9126805504 9663676416 10267656192 10770972672 11444158464 12117344256 12874678272 12884901888 13690208256 14361296896 14495514624 15258877952 15401484288 16156459008 17166237696 17179869184 18253611008 19327352832 20535312384 21541945344 22888316928 24234688512 25749356544 25769803776 27380416512 28722593792 28991029248 30517755904 30802968576 32312918016 34332475392 34359738368 36507222016 38654705664 41070624768 43083890688 45776633856 48469377024 51498713088 51539607552 54760833024 57445187584 57982058496 61035511808 61605937152 64625836032 68664950784 68719476736 73014444032 77309411328 82141249536 86167781376 91553267712 96938754048 102997426176 103079215104 109521666048 114890375168 115964116992 122071023616 123211874304 129251672064 137329901568 137438953472 146028888064 154618822656 164282499072 172335562752 183106535424 193877508096 205994852352 206158430208 219043332096 229780750336 231928233984 244142047232 246423748608 258503344128 274659803136 274877906944 292057776128 309237645312 328564998144 344671125504 366213070848 387755016192 411989704704 412316860416 438086664192 459561500672 463856467968 488284094464 492847497216 517006688256 549319606272 549755813888 584115552256 618475290624 657129996288 689342251008 732426141696 775510032384 823979409408 824633720832 876173328384 919123001344 927712935936 976568188928 985694994432 1034013376512 1098639212544 1099511627776 1168231104512 1236950581248 1314259992576 1378684502016 1464852283392 1551020064768 1647958818816 1649267441664 1752346656768 1838246002688 1855425871872 1953136377856 1971389988864 2068026753024 2197278425088 2199023255552 2336462209024 2473901162496 2628519985152 2757369004032 2929704566784 3102040129536 3295917637632 3298534883328 3504693313536 3676492005376 3710851743744 3906272755712 3942779977728 4136053506048 4394556850176 4398046511104 4672924418048 4947802324992 5257039970304 5514738008064 5859409133568 6204080259072 6591835275264 6597069766656 7009386627072 7352984010752 7421703487488 7812545511424 7885559955456 8272107012096 8789113700352 8796093022208 9345848836096 9895604649984 10514079940608 11029476016128 11718818267136 12408160518144 13183670550528 13194139533312 14018773254144 14705968021504 14843406974976 15625091022848 15771119910912 16544214024192 17578227400704 17592186044416 18691697672192 19791209299968 21028159881216 22058952032256 23437636534272 24816321036288 26367341101056 26388279066624 28037546508288 29411936043008 29686813949952 31250182045696 31542239821824 33088428048384 35156454801408 35184372088832 37383395344384 39582418599936 42056319762432 44117904064512 46875273068544 49632642072576 52734682202112 52776558133248 56075093016576 58823872086016 59373627899904 62500364091392 63084479643648 66176856096768 70312909602816 70368744177664 74766790688768 79164837199872 84112639524864 88235808129024 93750546137088 99265284145152 105469364404224 105553116266496 112150186033152 117647744172032 118747255799808 125000728182784 126168959287296 132353712193536 140625819205632 140737488355328 149533581377536 158329674399744 168225279049728 176471616258048 187501092274176 198530568290304 210938728808448 211106232532992 224300372066304 235295488344064 237494511599616 250001456365568 252337918574592 264707424387072 281251638411264 281474976710656 299067162755072 316659348799488 336450558099456 352943232516096 375002184548352 397061136580608 421877457616896 422212465065984 448600744132608 470590976688128 474989023199232 500002912731136 504675837149184 529414848774144 562503276822528 598134325510144 633318697598976 672901116198912 705886465032192 750004369096704 794122273161216 843754915233792 844424930131968 897201488265216 941181953376256 949978046398464 1000005825462272 1009351674298368 1058829697548288 1125006553645056 1196268651020288 1266637395197952 1345802232397824 1411772930064384 1500008738193408 1588244546322432 1687509830467584 1794402976530432 1882363906752512 1899956092796928 2000011650924544 2018703348596736 2117659395096576 2250013107290112 2392537302040576 2533274790395904 2691604464795648 2823545860128768 3000017476386816 3176489092644864 3375019660935168 3588805953060864 3764727813505024 3799912185593856 4000023301849088 4037406697193472 4235318790193152 4500026214580224 4785074604081152 5383208929591296 5647091720257536 6000034952773632 6352978185289728 6750039321870336 7177611906121728 7529455627010048 7599824371187712 8000046603698176 8074813394386944 8470637580386304 9000052429160448 10766417859182592 11294183440515072 12000069905547264 12705956370579456 13500078643740672 14355223812243456 15058911254020096 16000093207396352 16149626788773888 16941275160772608 18000104858320896 21532835718365184 22588366881030144 24000139811094528 25411912741158912 27000157287481344 30117822508040192 32000186414792704 32299253577547776 33882550321545216 36000209716641792 43065671436730368 45176733762060288 48000279622189056 50823825482317824 54000314574962688 64000372829585408 64598507155095552 67765100643090432 72000419433283584 90353467524120576 96000559244378112 101647650964635648 108000629149925376 128000745659170816 129197014310191104 135530201286180864 144000838866567168 192001118488756224 203295301929271296 216001258299850752 256001491318341632 271060402572361728 288001677733134336 384002236977512448 406590603858542592 432002516599701504 512002982636683264 576003355466268672 768004473955024896 813181207717085184 864005033199403008 1152006710932537344 1536008947910049792 1728010066398806016 2304013421865074688 3456020132797612032 4608026843730149376 6912040265595224064 13824080531190448128
- Sum of all divisors σ(n): 43774988378041143360
- Sum of proper divisors (its aliquot sum) s(n): 29950907846850695232
- 13824080531190448128 is an abundant number, because the sum of its proper divisors (29950907846850695232) is greater than itself. Its abundance is 16126827315660247104
Bases of 13824080531190448128
- Binary: 10111111110110010000000000000000000000000000000000000000000000002
- Hexadecimal: 0xBFD9000000000000
- Base-36: 2X11FKBOGNPC0
Squares and roots of 13824080531190448128
- 13824080531190448128 squared (138240805311904481282) is 191105202532838782477936662425458704384
- 13824080531190448128 cubed (138240805311904481283) is 2641853709743424129088428156735625152680835297695238193152
-
The
square root of 13824080531190448128 is 3718074842.0641626627 -
The
cube root of 13824080531190448128 is 2400004.6603607681
Scales and comparisons
How big is 13824080531190448128?- 13,824,080,531,190,448,128 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,824,080,531,190,448,128 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13824080531190448128 cubic inches would be around 200000.4 feet tall.
Recreational maths with 13824080531190448128
- 13824080531190448128 backwards is 82184409113508042831
- 13824080531190448128 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13824080531190448128's digits is 72
- More coming soon!
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The information we have on file for 13824080531190448128 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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