213379997056244121600
213,379,997,056,244,121,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 213379997056244121600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 684 divisors.
213379997056244121600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred eighty-four divisors.
Prime factorization of 213379997056244121600:
218 × 32 × 52 × 7 × 516812756387
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 516812756387)See below for interesting mathematical facts about the number 213379997056244121600 from the Numbermatics database.
Names of 213379997056244121600
- Cardinal: 213379997056244121600 can be written as Two hundred thirteen quintillion, three hundred seventy-nine quadrillion, nine hundred ninety-seven trillion, fifty-six billion, two hundred forty-four million, one hundred twenty-one thousand, six hundred.
Scientific notation
- Scientific notation: 2.133799970562441216 × 1020
Factors of 213379997056244121600
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 24
- Sum of prime factors: 516812756404
Divisors of 213379997056244121600
- Number of divisors d(n): 684
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 252 256 280 288 300 315 320 336 350 360 384 400 420 448 450 480 504 512 525 560 576 600 630 640 672 700 720 768 800 840 896 900 960 1008 1024 1050 1120 1152 1200 1260 1280 1344 1400 1440 1536 1575 1600 1680 1792 1800 1920 2016 2048 2100 2240 2304 2400 2520 2560 2688 2800 2880 3072 3150 3200 3360 3584 3600 3840 4032 4096 4200 4480 4608 4800 5040 5120 5376 5600 5760 6144 6300 6400 6720 7168 7200 7680 8064 8192 8400 8960 9216 9600 10080 10240 10752 11200 11520 12288 12600 12800 13440 14336 14400 15360 16128 16384 16800 17920 18432 19200 20160 20480 21504 22400 23040 24576 25200 25600 26880 28672 28800 30720 32256 32768 33600 35840 36864 38400 40320 40960 43008 44800 46080 49152 50400 51200 53760 57344 57600 61440 64512 65536 67200 71680 73728 76800 80640 81920 86016 89600 92160 98304 100800 102400 107520 114688 115200 122880 129024 131072 134400 143360 147456 153600 161280 163840 172032 179200 184320 196608 201600 204800 215040 229376 230400 245760 258048 262144 268800 286720 294912 307200 322560 327680 344064 358400 368640 393216 403200 409600 430080 458752 460800 491520 516096 537600 573440 589824 614400 645120 655360 688128 716800 737280 786432 806400 819200 860160 917504 921600 983040 1032192 1075200 1146880 1179648 1228800 1290240 1310720 1376256 1433600 1474560 1612800 1638400 1720320 1835008 1843200 1966080 2064384 2150400 2293760 2359296 2457600 2580480 2752512 2867200 2949120 3225600 3276800 3440640 3686400 3932160 4128768 4300800 4587520 4915200 5160960 5505024 5734400 5898240 6451200 6553600 6881280 7372800 8257536 8601600 9175040 9830400 10321920 11468800 11796480 12902400 13762560 14745600 16515072 17203200 19660800 20643840 22937600 25804800 27525120 29491200 34406400 41287680 45875200 51609600 58982400 68812800 82575360 103219200 137625600 206438400 412876800 516812756387 1033625512774 1550438269161 2067251025548 2584063781935 3100876538322 3617689294709 4134502051096 4651314807483 5168127563870 6201753076644 7235378589418 7752191345805 8269004102192 9302629614966 10336255127740 10853067884127 12403506153288 12920318909675 14470757178836 15504382691610 16538008204384 18088446473545 18605259229932 20672510255480 21706135768254 23256574037415 24807012306576 25840637819350 28941514357672 31008765383220 32559203652381 33076016408768 36176892947090 37210518459864 38760956729025 41345020510960 43412271536508 46513148074830 49614024613152 51681275638700 54265339420635 57883028715344 62017530766440 65118407304762 66152032817536 72353785894180 74421036919728 77521913458050 82690041021920 86824543073016 90442232367725 93026296149660 99228049226304 103362551277400 108530678841270 115766057430688 116282870187075 124035061532880 130236814609524 132304065635072 144707571788360 148842073839456 155043826916100 162796018261905 165380082043840 173649086146032 180884464735450 186052592299320 198456098452608 206725102554800 217061357682540 231532114861376 232565740374150 248070123065760 260473629219048 264608131270144 271326697103175 289415143576720 297684147678912 310087653832200 325592036523810 330760164087680 347298172292064 361768929470900 372105184598640 396912196905216 413450205109600 434122715365080 463064229722752 465131480748300 496140246131520 520947258438096 529216262540288 542653394206350 578830287153440 595368295357824 620175307664400 651184073047620 661520328175360 694596344584128 723537858941800 744210369197280 793824393810432 813980091309525 826900410219200 868245430730160 926128459445504 930262961496600 992280492263040 1041894516876192 1058432525080576 1085306788412700 1157660574306880 1190736590715648 1240350615328800 1302368146095240 1323040656350720 1389192689168256 1447075717883600 1488420738394560 1587648787620864 1627960182619050 1653800820438400 1736490861460320 1852256918891008 1860525922993200 1984560984526080 2083789033752384 2116865050161152 2170613576825400 2315321148613760 2381473181431296 2480701230657600 2604736292190480 2646081312701440 2778385378336512 2894151435767200 2976841476789120 3175297575241728 3255920365238100 3307601640876800 3472981722920640 3704513837782016 3721051845986400 3969121969052160 4167578067504768 4233730100322304 4341227153650800 4630642297227520 4762946362862592 4961402461315200 5209472584380960 5292162625402880 5556770756673024 5788302871534400 5953682953578240 6350595150483456 6511840730476200 6615203281753600 6945963445841280 7409027675564032 7442103691972800 7938243938104320 8335156135009536 8467460200644608 8682454307301600 9261284594455040 9525892725725184 9922804922630400 10418945168761920 10584325250805760 11113541513346048 11576605743068800 11907365907156480 12701190300966912 13023681460952400 13230406563507200 13891926891682560 14818055351128064 14884207383945600 15876487876208640 16670312270019072 16934920401289216 17364908614603200 18522569188910080 19051785451450368 19845609845260800 20837890337523840 21168650501611520 22227083026692096 23153211486137600 23814731814312960 25402380601933824 26047362921904800 26460813127014400 27783853783365120 29636110702256128 29768414767891200 31752975752417280 33340624540038144 33869840802578432 34729817229206400 37045138377820160 38103570902900736 39691219690521600 41675780675047680 42337301003223040 44454166053384192 46306422972275200 47629463628625920 50804761203867648 52094725843809600 52921626254028800 55567707566730240 59272221404512256 59536829535782400 63505951504834560 66681249080076288 67739681605156864 69459634458412800 74090276755640320 76207141805801472 79382439381043200 83351561350095360 84674602006446080 88908332106768384 92612845944550400 95258927257251840 101609522407735296 104189451687619200 105843252508057600 111135415133460480 118544442809024512 119073659071564800 127011903009669120 133362498160152576 135479363210313728 138919268916825600 148180553511280640 152414283611602944 158764878762086400 166703122700190720 169349204012892160 177816664213536768 185225691889100800 190517854514503680 203219044815470592 208378903375238400 211686505016115200 222270830266920960 237088885618049024 238147318143129600 254023806019338240 266724996320305152 277838537833651200 296361107022561280 304828567223205888 317529757524172800 333406245400381440 338698408025784320 355633328427073536 370451383778201600 381035709029007360 406438089630941184 416757806750476800 423373010032230400 444541660533841920 474177771236098048 476294636286259200 508047612038676480 533449992640610304 555677075667302400 592722214045122560 609657134446411776 635059515048345600 666812490800762880 677396816051568640 711266656854147072 740902767556403200 762071418058014720 833515613500953600 846746020064460800 889083321067683840 948355542472196096 952589272572518400 1016095224077352960 1066899985281220608 1111354151334604800 1185444428090245120 1219314268892823552 1270119030096691200 1333624981601525760 1422533313708294144 1481805535112806400 1524142836116029440 1667031227001907200 1693492040128921600 1778166642135367680 1905178545145036800 2032190448154705920 2133799970562441216 2222708302669209600 2370888856180490240 2540238060193382400 2667249963203051520 2845066627416588288 2963611070225612800 3048285672232058880 3334062454003814400 3386984080257843200 3556333284270735360 3810357090290073600 4267599941124882432 4445416605338419200 4741777712360980480 5080476120386764800 5334499926406103040 5927222140451225600 6096571344464117760 6668124908007628800 7112666568541470720 7620714180580147200 8535199882249764864 8890833210676838400 10160952240773529600 10668999852812206080 11854444280902451200 13336249816015257600 14225333137082941440 15241428361160294400 17781666421353676800 21337999705624412160 23708888561804902400 26672499632030515200 30482856722320588800 35563332842707353600 42675999411248824320 53344999264061030400 71126665685414707200 106689998528122060800 213379997056244121600
- Sum of all divisors σ(n): 873569267777466627744
- Sum of proper divisors (its aliquot sum) s(n): 660189270721222506144
- 213379997056244121600 is an abundant number, because the sum of its proper divisors (660189270721222506144) is greater than itself. Its abundance is 446809273664978384544
Bases of 213379997056244121600
- Binary: 101110010001001111100000100011001001011101110101010000000000000000002
- Hexadecimal: 0xB913E08C977540000
- Base-36: 1915SW4V82M0W0
Squares and roots of 213379997056244121600
- 213379997056244121600 squared (2133799970562441216002) is 45531023143722749999714671614555586560000
- 213379997056244121600 cubed (2133799970562441216003) is 9715409584375343366038823257640208172099173060439965696000000
-
The
square root of 213379997056244121600 is 14607532202.8138661775 -
The
cube root of 213379997056244121600 is 5975641.9616260037
Scales and comparisons
How big is 213379997056244121600?- 213,379,997,056,244,121,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 213,379,997,056,244,121,600 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 213379997056244121600 cubic inches would be around 497970.2 feet tall.
Recreational maths with 213379997056244121600
- 213379997056244121600 backwards is 006121442650799973312
- The number of decimal digits it has is: 21
- The sum of 213379997056244121600's digits is 81
- More coming soon!
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The information we have on file for 213379997056244121600 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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