13168240602574982400
13,168,240,602,574,982,400 is an even composite number composed of six prime numbers multiplied together.
13168240602574982400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 13168240602574982400:
28 × 32 × 52 × 7 × 397 × 82265307031
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 397 × 82265307031)See below for interesting mathematical facts about the number 13168240602574982400 from the Numbermatics database.
Names of 13168240602574982400
- Cardinal: 13168240602574982400 can be written as Thirteen quintillion, one hundred sixty-eight quadrillion, two hundred forty trillion, six hundred two billion, five hundred seventy-four million, nine hundred eighty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.31682406025749824 × 1019
Factors of 13168240602574982400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 82265307445
Divisors of 13168240602574982400
- Number of divisors d(n): 648
-
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 96 100 105 112 120 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 252 256 280 288 300 315 320 336 350 360 384 397 400 420 448 450 480 504 525 560 576 600 630 640 672 700 720 768 794 800 840 896 900 960 1008 1050 1120 1152 1191 1200 1260 1280 1344 1400 1440 1575 1588 1600 1680 1792 1800 1920 1985 2016 2100 2240 2304 2382 2400 2520 2688 2779 2800 2880 3150 3176 3200 3360 3573 3600 3840 3970 4032 4200 4480 4764 4800 5040 5376 5558 5600 5760 5955 6300 6352 6400 6720 7146 7200 7940 8064 8337 8400 8960 9528 9600 9925 10080 11116 11200 11520 11910 12600 12704 13440 13895 14292 14400 15880 16128 16674 16800 17865 19056 19200 19850 20160 22232 22400 23820 25011 25200 25408 26880 27790 28584 28800 29775 31760 33348 33600 35730 38112 39700 40320 41685 44464 44800 47640 50022 50400 50816 55580 57168 57600 59550 63520 66696 67200 69475 71460 76224 79400 80640 83370 88928 89325 95280 100044 100800 101632 111160 114336 119100 125055 127040 133392 134400 138950 142920 152448 158800 166740 177856 178650 190560 200088 201600 208425 222320 228672 238200 250110 254080 266784 277900 285840 304896 317600 333480 355712 357300 381120 400176 403200 416850 444640 457344 476400 500220 508160 533568 555800 571680 625275 635200 666960 711424 714600 762240 800352 833700 889280 914688 952800 1000440 1067136 1111600 1143360 1250550 1270400 1333920 1429200 1524480 1600704 1667400 1778560 1905600 2000880 2134272 2223200 2286720 2501100 2540800 2667840 2858400 3201408 3334800 3557120 3811200 4001760 4446400 4573440 5002200 5335680 5716800 6402816 6669600 7622400 8003520 8892800 10004400 10671360 11433600 13339200 16007040 17785600 20008800 22867200 26678400 32014080 40017600 53356800 80035200 160070400 82265307031 164530614062 246795921093 329061228124 411326535155 493591842186 575857149217 658122456248 740387763279 822653070310 987183684372 1151714298434 1233979605465 1316244912496 1480775526558 1645306140620 1727571447651 1974367368744 2056632675775 2303428596868 2467959210930 2632489824992 2879285746085 2961551053116 3290612281240 3455142895302 3701938816395 3948734737488 4113265351550 4606857193736 4935918421860 5182714342953 5264979649984 5758571492170 5923102106232 6169898027325 6581224562480 6910285790604 7403877632790 7897469474976 8226530703100 8637857238255 9213714387472 9871836843720 10365428685906 10529959299968 11517142984340 11846204212464 12339796054650 13162449124960 13820571581208 14396428730425 14807755265580 15794938949952 16453061406200 17275714476510 18427428774944 18509694081975 19743673687440 20730857371812 21059918599936 23034285968680 23692408424928 24679592109300 25913571714765 26324898249920 27641143162416 28792857460850 29615510531160 31589877899904 32659326891307 32906122812400 34551428953020 36854857549888 37019388163950 39487347374880 41461714743624 43189286191275 46068571937360 47384816849856 49359184218600 51827143429530 52649796499840 55282286324832 57585714921700 59231021062320 63179755799808 65318653782614 65812245624800 69102857906040 73709715099776 74038776327900 78974694749760 82923429487248 86378572382550 92137143874720 94769633699712 97977980673921 98718368437200 103654286859060 105299592999680 110564572649664 115171429843400 118462042124640 129567858573825 130637307565228 131624491249600 138205715812080 147419430199552 148077552655800 157949389499520 163296634456535 165846858974496 172757144765100 184274287749440 189539267399424 195955961347842 197436736874400 207308573718120 221129145299328 228615288239149 230342859686800 236924084249280 259135717147650 261274615130456 263248982499200 276411431624160 293933942021763 296155105311600 315898778999040 326593268913070 331693717948992 345514289530200 368548575498880 391911922695684 394873473748800 414617147436240 442258290598656 457230576478298 460685719373600 473848168498560 489889903369605 518271434295300 522549230260912 526497964998400 552822863248320 587867884043526 592310210623200 653186537826140 663387435897984 685845864717447 691028579060400 737097150997760 783823845391368 789746947497600 816483172282675 829234294872480 914461152956596 921371438747200 947696336997120 979779806739210 1036542868590600 1045098460521824 1105645726496640 1143076441195745 1175735768087052 1184620421246400 1306373075652280 1326774871795968 1371691729434894 1382057158120800 1469669710108815 1567647690782736 1579493894995200 1632966344565350 1658468589744960 1828922305913192 1842742877494400 1959559613478420 2057537594152341 2073085737181200 2090196921043648 2211291452993280 2286152882391490 2351471536174104 2369240842492800 2449449516848025 2612746151304560 2743383458869788 2764114316241600 2939339420217630 3135295381565472 3265932689130700 3316937179489920 3429229323587235 3657844611826384 3685485754988800 3919119226956840 4115075188304682 4146171474362400 4180393842087296 4572305764782980 4702943072348208 4738481684985600 4898899033696050 5225492302609120 5486766917739576 5528228632483200 5715382205978725 5878678840435260 6270590763130944 6531865378261400 6633874358979840 6858458647174470 7315689223652768 7348348550544075 7838238453913680 8230150376609364 8292342948724800 8360787684174592 9144611529565960 9405886144696416 9797798067392100 10287687970761705 10450984605218240 10973533835479152 11056457264966400 11430764411957450 11757357680870520 12541181526261888 13063730756522800 13716917294348940 14631378447305536 14696697101088150 15676476907827360 16460300753218728 16584685897449600 17146146617936175 18289223059131920 18811772289392832 19595596134784200 20575375941523410 20901969210436480 21947067670958304 22861528823914900 23514715361741040 25082363052523776 26127461513045600 27433834588697880 29262756894611072 29393394202176300 31352953815654720 32920601506437456 33169371794899200 34292293235872350 36578446118263840 37623544578785664 39191192269568400 41150751883046820 41803938420872960 43894135341916608 45723057647829800 47029430723482080 51438439853808525 52254923026091200 54867669177395760 58525513789222144 58786788404352600 62705907631309440 65841203012874912 68584586471744700 73156892236527680 75247089157571328 78382384539136800 82301503766093640 87788270683833216 91446115295659600 94058861446964160 102876879707617050 104509846052182400 109735338354791520 117573576808705200 125411815262618880 131682406025749824 137169172943489400 146313784473055360 156764769078273600 164603007532187280 175576541367666432 182892230591319200 188117722893928320 205753759415234100 209019692104364800 219470676709583040 235147153617410400 263364812051499648 274338345886978800 292627568946110720 313529538156547200 329206015064374560 365784461182638400 376235445787856640 411507518830468200 438941353419166080 470294307234820800 526729624102999296 548676691773957600 627059076313094400 658412030128749120 731568922365276800 823015037660936400 877882706838332160 940588614469641600 1097353383547915200 1316824060257498240 1463137844730553600 1646030075321872800 1881177228939283200 2194706767095830400 2633648120514996480 3292060150643745600 4389413534191660800 6584120301287491200 13168240602574982400
- Sum of all divisors σ(n): 53940594450098405504
- Sum of proper divisors (its aliquot sum) s(n): 40772353847523423104
- 13168240602574982400 is an abundant number, because the sum of its proper divisors (40772353847523423104) is greater than itself. Its abundance is 27604113244948440704
Bases of 13168240602574982400
- Binary: 10110110101111101111110100001111010010010101101110001101000000002
- Hexadecimal: 0xB6BEFD0F495B8D00
- Base-36: 2S1NRPNT85Z40
Squares and roots of 13168240602574982400
- 13168240602574982400 squared (131682406025749824002) is 173402560567304335574561414360309760000
- 13168240602574982400 cubed (131682406025749824003) is 2283406638652844525844706623321043539905160890548224000000
-
The
square root of 13168240602574982400 is 3628807049.5102081687 -
The
cube root of 13168240602574982400 is 2361434.5751305609
Scales and comparisons
How big is 13168240602574982400?- 13,168,240,602,574,982,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,168,240,602,574,982,400 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 13168240602574982400 cubic inches would be around 196786.2 feet tall.
Recreational maths with 13168240602574982400
- 13168240602574982400 backwards is 00428947520604286131
- 13168240602574982400 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13168240602574982400's digits is 72
- More coming soon!
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The information we have on file for 13168240602574982400 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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