5664053664914486400
5,664,053,664,914,486,400 is an even composite number composed of six prime numbers multiplied together.
5664053664914486400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 5664053664914486400:
27 × 34 × 52 × 13 × 241 × 6974803349
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 241 × 6974803349)See below for interesting mathematical facts about the number 5664053664914486400 from the Numbermatics database.
Names of 5664053664914486400
- Cardinal: 5664053664914486400 can be written as Five quintillion, six hundred sixty-four quadrillion, fifty-three trillion, six hundred sixty-four billion, nine hundred fourteen million, four hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 5.6640536649144864 × 1018
Factors of 5664053664914486400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 6974803613
Divisors of 5664053664914486400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 128 130 135 144 150 156 160 162 180 192 195 200 208 216 225 234 240 241 260 270 288 300 312 320 324 325 351 360 384 390 400 405 416 432 450 468 480 482 520 540 576 585 600 624 640 648 650 675 702 720 723 780 800 810 832 864 900 936 960 964 975 1040 1053 1080 1152 1170 1200 1205 1248 1296 1300 1350 1404 1440 1446 1560 1600 1620 1664 1728 1755 1800 1872 1920 1928 1950 2025 2080 2106 2160 2169 2340 2400 2410 2496 2592 2600 2700 2808 2880 2892 2925 3120 3133 3200 3240 3456 3510 3600 3615 3744 3856 3900 4050 4160 4212 4320 4338 4680 4800 4820 4992 5184 5200 5265 5400 5616 5760 5784 5850 6025 6240 6266 6480 6507 7020 7200 7230 7488 7712 7800 8100 8320 8424 8640 8676 8775 9360 9399 9600 9640 10368 10400 10530 10800 10845 11232 11568 11700 12050 12480 12532 12960 13014 14040 14400 14460 14976 15424 15600 15665 16200 16848 17280 17352 17550 18075 18720 18798 19280 19521 20800 21060 21600 21690 22464 23136 23400 24100 24960 25064 25920 26028 26325 28080 28197 28800 28920 30848 31200 31330 32400 32535 33696 34704 35100 36150 37440 37596 38560 39042 41600 42120 43200 43380 44928 46272 46800 46995 48200 50128 51840 52056 52650 54225 56160 56394 57840 62400 62660 64800 65070 67392 69408 70200 72300 74880 75192 77120 78084 78325 84240 84591 86400 86760 92544 93600 93990 96400 97605 100256 104112 105300 108450 112320 112788 115680 124800 125320 129600 130140 134784 138816 140400 140985 144600 150384 154240 156168 156650 162675 168480 169182 173520 187200 187980 192800 195210 200512 208224 210600 216900 224640 225576 231360 234975 250640 253773 259200 260280 277632 280800 281970 289200 300768 312336 313300 325350 336960 338364 347040 374400 375960 385600 390420 401024 416448 421200 422955 433800 451152 462720 469950 488025 501280 507546 520560 561600 563940 578400 601536 624672 626600 650700 673920 676728 694080 704925 751920 771200 780840 832896 842400 845910 867600 902304 939900 976050 1002560 1015092 1041120 1123200 1127880 1156800 1203072 1249344 1253200 1268865 1301400 1353456 1388160 1409850 1503840 1561680 1684800 1691820 1735200 1804608 1879800 1952100 2005120 2030184 2082240 2114775 2255760 2313600 2498688 2506400 2537730 2602800 2706912 2819700 3007680 3123360 3369600 3383640 3470400 3609216 3759600 3904200 4060368 4164480 4229550 4511520 5012800 5075460 5205600 5413824 5639400 6015360 6246720 6344325 6767280 6940800 7519200 7808400 8120736 8459100 9023040 10025600 10150920 10411200 10827648 11278800 12493440 12688650 13534560 15038400 15616800 16241472 16918200 18046080 20301840 20822400 22557600 25377300 27069120 30076800 31233600 32482944 33836400 40603680 45115200 50754600 54138240 62467200 67672800 81207360 90230400 101509200 135345600 162414720 203018400 270691200 406036800 812073600 6974803349 13949606698 20924410047 27899213396 34874016745 41848820094 55798426792 62773230141 69748033490 83697640188 90672443537 104622050235 111596853584 125546460282 139496066980 167395280376 174370083725 181344887074 188319690423 209244100470 223193707168 251092920564 272017330611 278992133960 313866150705 334790560752 348740167450 362689774148 376639380846 418488200940 446387414336 453362217685 502185841128 523110251175 544034661222 557984267920 564959071269 627732301410 669581121504 697480334900 725379548296 753278761692 816051991833 836976401880 892774828672 906724435370 941598452115 1004371682256 1046220502350 1088069322444 1115968535840 1129918142538 1255464602820 1339162243008 1360086653055 1394960669800 1450759096592 1506557523384 1569330753525 1632103983666 1673952803760 1680927607109 1813448870740 1883196904230 2008743364512 2092441004700 2176138644888 2231937071680 2259836285076 2266811088425 2448155975499 2510929205640 2678324486016 2720173306110 2789921339600 2824795356345 2901518193184 3013115046768 3138661507050 3264207967332 3347905607520 3361855214218 3626897741480 3766393808460 4017486729024 4080259959165 4184882009400 4352277289776 4463874143360 4519672570152 4533622176850 4707992260575 4896311950998 5021858411280 5042782821327 5440346612220 5579842679200 5649590712690 5803036386368 6026230093536 6277323014100 6528415934664 6695811215040 6723710428436 6800433265275 7253795482960 7344467926497 7532787616920 8034973458048 8160519918330 8369764018800 8404638035545 8704554579552 9039345140304 9067244353700 9415984521150 9792623901996 10043716822560 10085565642654 10880693224440 11159685358400 11299181425380 11606072772736 12052460187072 12240779877495 12554646028200 13056831869328 13391622430080 13447420856872 13600866530550 14123976781725 14507590965920 14688935852994 15065575233840 15128348463981 16321039836660 16739528037600 16809276071090 17409109159104 18078690280608 18134488707400 18831969042300 19585247803992 20087433645120 20171131285308 20401299795825 21761386448880 21852058892417 22319370716800 22598362850760 24104920374144 24481559754990 25109292056400 25213914106635 26113663738656 26894841713744 27201733061100 28247953563450 29015181931840 29377871705988 30131150467680 30256696927962 32642079673320 33479056075200 33618552142180 34818218318208 36157380561216 36268977414800 36722339632485 37663938084600 39170495607984 40174867290240 40342262570616 40802599591650 42023190177725 43522772897760 43704117784834 45196725701520 45385045391943 48963119509980 50218584112800 50427828213270 52227327477312 53789683427488 54403466122200 56495907126900 58030363863680 58755743411976 60262300935360 60513393855924 61203899387475 65284159346640 65556176677251 66958112150400 67237104284360 72314761122432 72537954829600 73444679264970 75327876169200 75641742319905 78340991215968 80684525141232 81605199183300 84046380355450 87045545795520 87408235569668 90393451403040 90770090783886 97926239019960 100437168225600 100855656426540 104454654954624 107579366854976 108806932244400 109260294462085 112991814253800 117511486823952 120524601870720 121026787711848 122407798774950 126069570533175 130568318693280 131112353354502 134474208568720 136155136175829 145075909659200 146889358529940 150655752338400 151283484639810 156681982431936 161369050282464 163210398366600 168092760710900 174091091591040 174816471139336 180786902806080 181540181567772 183611698162425 195852478039920 196668530031753 200874336451200 201711312853080 215158733709952 217613864488800 218520588924170 225983628507600 226925226959715 235022973647904 242053575423696 244815597549900 252139141066350 261136637386560 262224706709004 268948417137440 272310272351658 290151819318400 293778717059880 301311504676800 302566969279620 313363964863872 322738100564928 326420796733200 327780883386255 336185521421800 349632942278672 361573805612160 363080363135544 367223396324850 378208711599525 391704956079840 393337060063506 403422625706160 435227728977600 437041177848340 451967257015200 453850453919430 470045947295808 484107150847392 489631195099800 504278282132700 522273274773120 524449413418008 537896834274880 544620544703316 546301472310425 587557434119760 590005590095259 602623009353600 605133938559240 645476201129856 652841593466400 655561766772510 672371042843600 680775680879145 699265884557344 726160726271088 734446792649700 756417423199050 783409912159680 786674120127012 806845251412320 870455457955200 874082355696680 903934514030400 907700907838860 940091894591616 968214301694784 979262390199600 983342650158765 1008556564265400 1048898826836016 1075793668549760 1089241089406632 1092602944620850 1134626134798575 1175114868239520 1180011180190518 1210267877118480 1305683186932800 1311123533545020 1344742085687200 1361551361758290 1398531769114688 1452321452542176 1468893585299400 1512834846398100 1566819824319360 1573348240254024 1613690502824640 1638904416931275 1748164711393360 1770016770285777 1807869028060800 1815401815677720 1936428603389568 1958524780399200 1966685300317530 2017113128530800 2097797653672032 2178482178813264 2185205889241700 2269252269597150 2350229736479040 2360022360381036 2420535754236960 2611366373865600 2622247067090040 2689484171374400 2723102723516580 2797063538229376 2904642905084352 2937787170598800 2950027950476295 3025669692796200 3146696480508048 3227381005649280 3277808833862550 3403878404395725 3496329422786720 3540033540571554 3630803631355440 3917049560798400 3933370600635060 4034226257061600 4195595307344064 4356964357626528 4370411778483400 4538504539194300 4700459472958080 4720044720762072 4841071508473920 4916713250793825 5244494134180080 5378968342748800 5446205447033160 5809285810168704 5875574341197600 5900055900952590 6051339385592400 6293392961016096 6555617667725100 6807756808791450 6992658845573440 7080067081143108 7261607262710880 7834099121596800 7866741201270120 8068452514123200 8391190614688128 8713928715253056 8740823556966800 8850083851428885 9077009078388600 9440089441524144 9682143016947840 9833426501587650 10488988268360160 10892410894066320 11751148682395200 11800111801905180 12102678771184800 12586785922032192 13111235335450200 13615513617582900 13985317691146880 14160134162286216 14523214525421760 14750139752381475 15733482402540240 16136905028246400 17427857430506112 17481647113933600 17700167702857770 18154018156777200 18880178883048288 19666853003175300 20977976536720320 21784821788132640 23502297364790400 23600223603810360 24205357542369600 25173571844064384 26222470670900400 27231027235165800 28320268324572432 29046429050843520 29500279504762950 31466964805080480 34963294227867200 35400335405715540 36308036313554400 37760357766096576 39333706006350600 41955953073440640 43569643576265280 44250419257144425 47200447207620720 48410715084739200 52444941341800800 54462054470331600 56640536649144864 59000559009525900 62933929610160960 69926588455734400 70800670811431080 72616072627108800 75520715532193152 78667412012701200 87139287152530560 88500838514288850 94400894415241440 104889882683601600 108924108940663200 113281073298289728 118001118019051800 125867859220321920 141601341622862160 145232145254217600 157334824025402400 177001677028577700 188801788830482880 209779765367203200 217848217881326400 226562146596579456 236002236038103600 283202683245724320 314669648050804800 354003354057155400 377603577660965760 435696435762652800 472004472076207200 566405366491448640 629339296101609600 708006708114310800 944008944152414400 1132810732982897280 1416013416228621600 1888017888304828800 2832026832457243200 5664053664914486400
- Sum of all divisors σ(n): 22602819334852449000
- Sum of proper divisors (its aliquot sum) s(n): 16938765669937962600
- 5664053664914486400 is an abundant number, because the sum of its proper divisors (16938765669937962600) is greater than itself. Its abundance is 11274712005023476200
Bases of 5664053664914486400
- Binary: 1001110100110101100001011001100011111011111101000110100100000002
- Hexadecimal: 0x4E9AC2CC7DFA3480
- Base-36: 1716JGC7Y6G00
Squares and roots of 5664053664914486400
- 5664053664914486400 squared (56640536649144864002) is 32081503919031224986032624575784960000
- 5664053664914486400 cubed (56640536649144864003) is 181711359848557268238047192477078273494954555244544000000
-
The
square root of 5664053664914486400 is 2379927239.4160470217 -
The
cube root of 5664053664914486400 is 1782553.0070888605
Scales and comparisons
How big is 5664053664914486400?- 5,664,053,664,914,486,400 seconds is equal to 180,099,386,475 years, 50 weeks, 1 day.
-
To count from 1 to 5,664,053,664,914,486,400 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 5664053664914486400 cubic inches would be around 148546.1 feet tall.
Recreational maths with 5664053664914486400
- 5664053664914486400 backwards is 0046844194663504665
- 5664053664914486400 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 5664053664914486400's digits is 81
- More coming soon!
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The information we have on file for 5664053664914486400 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!
Keywords: Divisors of 5664053664914486400, math, Factors of 5664053664914486400, curriculum, school, college, exams, university, Prime factorization of 5664053664914486400, STEM, science, technology, engineering, physics, economics, calculator, five quintillion, six hundred sixty-four quadrillion, fifty-three trillion, six hundred sixty-four billion, nine hundred fourteen million, four hundred eighty-six thousand, four hundred.