132815311003327680
132,815,311,003,327,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 132815311003327680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
132815311003327680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 132815311003327680:
26 × 33 × 5 × 72 × 13 × 241 × 100133161
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 241 × 100133161)See below for interesting mathematical facts about the number 132815311003327680 from the Numbermatics database.
Names of 132815311003327680
- Cardinal: 132815311003327680 can be written as One hundred thirty-two quadrillion, eight hundred fifteen trillion, three hundred eleven billion, three million, three hundred twenty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3281531100332768 × 1017
Factors of 132815311003327680
Divisors of 132815311003327680
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 49 52 54 56 60 63 64 65 70 72 78 80 84 90 91 96 98 104 105 108 112 117 120 126 130 135 140 144 147 156 160 168 180 182 189 192 195 196 208 210 216 224 234 240 241 245 252 260 270 273 280 288 294 312 315 320 336 351 360 364 378 390 392 416 420 432 441 448 455 468 480 482 490 504 520 540 546 560 576 585 588 624 630 637 672 702 720 723 728 735 756 780 784 819 832 840 864 882 910 936 945 960 964 980 1008 1040 1080 1092 1120 1170 1176 1205 1248 1260 1274 1323 1344 1365 1404 1440 1446 1456 1470 1512 1560 1568 1638 1680 1687 1728 1755 1764 1820 1872 1890 1911 1928 1960 2016 2080 2160 2169 2184 2205 2240 2340 2352 2410 2457 2496 2520 2548 2646 2730 2808 2880 2892 2912 2940 3024 3120 3133 3136 3185 3276 3360 3374 3510 3528 3615 3640 3744 3780 3822 3856 3920 4032 4095 4160 4320 4338 4368 4410 4680 4704 4820 4914 5040 5061 5096 5292 5460 5616 5733 5784 5824 5880 6048 6240 6266 6370 6507 6552 6615 6720 6748 7020 7056 7230 7280 7488 7560 7644 7712 7840 8190 8435 8640 8676 8736 8820 9360 9399 9408 9555 9640 9828 10080 10122 10192 10584 10845 10920 11232 11466 11568 11760 11809 12096 12285 12480 12532 12740 13014 13104 13230 13496 14040 14112 14460 14560 15120 15183 15288 15424 15665 15680 16380 16870 17199 17352 17472 17640 18720 18798 19110 19280 19656 20160 20244 20384 21168 21690 21840 21931 22464 22932 23136 23520 23618 24570 25064 25305 25480 26028 26208 26460 26992 28080 28197 28224 28665 28920 29120 30240 30366 30576 31330 32535 32760 33740 34398 34704 35280 35427 37440 37596 38220 38560 39312 40488 40768 42336 43380 43680 43862 45549 45864 46272 46995 47040 47236 49140 50128 50610 50960 52056 52416 52920 53984 56160 56394 57330 57840 59045 60480 60732 61152 62660 65070 65520 65793 67480 68796 69408 70560 70854 75192 75915 76440 77120 78624 80976 84591 84672 85995 86760 87360 87724 91098 91728 93990 94472 98280 100256 101220 101920 104112 105840 106281 107968 109655 112320 112788 114660 115680 118090 121464 122304 125320 130140 131040 131586 134960 137592 138816 140985 141120 141708 150384 151830 152880 153517 157248 161952 169182 171990 173520 175448 177135 182196 183456 187980 188944 196560 197379 200512 202440 203840 208224 211680 212562 219310 225576 227745 229320 231360 236180 242928 250640 260280 262080 263172 269920 275184 281970 283416 300768 303660 305760 307034 318843 323904 328965 338364 343980 347040 350896 354270 364392 366912 375960 377888 393120 394758 404880 416448 422955 423360 425124 438620 451152 455490 458640 460551 472360 485856 501280 520560 526344 531405 539840 550368 563940 566832 592137 601536 607320 611520 614068 637686 657930 676728 687960 694080 701792 708540 728784 751920 755776 767585 786240 789516 809760 845910 850248 877240 902304 910980 917280 921102 944720 971712 986895 1002560 1041120 1052688 1062810 1100736 1127880 1133664 1184274 1214640 1228136 1275372 1315860 1353456 1375920 1381653 1403584 1417080 1457568 1503840 1535170 1579032 1594215 1619520 1691820 1700496 1754480 1804608 1821960 1834560 1842204 1889440 1973790 2082240 2105376 2125620 2255760 2267328 2302755 2368548 2429280 2456272 2550744 2631720 2706912 2751840 2763306 2834160 2915136 2960685 3007680 3070340 3158064 3188430 3383640 3400992 3508960 3643920 3684408 3778880 3947580 4144959 4210752 4251240 4511520 4605510 4737096 4858560 4912544 5101488 5263440 5413824 5503680 5526612 5668320 5921370 6140680 6316128 6376860 6767280 6801984 6908265 7017920 7287840 7368816 7895160 8289918 8502480 9023040 9211020 9474192 9825088 10202976 10526880 11053224 11336640 11842740 12281360 12632256 12753720 13534560 13816530 14575680 14737632 15790320 16579836 17004960 18422040 18948384 20405952 20724795 21053760 22106448 23685480 24562720 25507440 27069120 27633060 29475264 31580640 33159672 34009920 36844080 37896768 41449590 44212896 47370960 49125440 51014880 55266120 63161280 66319344 73688160 82899180 88425792 94741920 100133161 102029760 110532240 132638688 147376320 165798360 189483840 200266322 221064480 265277376 300399483 331596720 400532644 442128960 500665805 600798966 663193440 700932127 801065288 901198449 1001331610 1201597932 1301731093 1326386880 1401864254 1501997415 1602130576 1802396898 2002663220 2102796381 2403195864 2603462186 2703595347 2803728508 3003994830 3204261152 3504660635 3604793796 3905193279 4005326440 4205592762 4505992245 4806391728 4906524889 5206924372 5407190694 5607457016 6007989660 6308389143 6408522304 6508655465 7009321270 7209587592 7810386558 8010652880 8411185524 9011984490 9112117651 9612783456 9813049778 10413848744 10513981905 10814381388 11214914032 11715579837 12015979320 12616778286 13017310930 13517976735 14018642540 14419175184 14719574667 15620773116 16021305760 16822371048 18023968980 18224235302 18925167429 19225566912 19525966395 19626099556 20827697488 21027963810 21628762776 22429828064 23431159674 24031958640 24132091801 24532624445 25233556572 26034621860 27035953470 27336352953 28037285080 28838350368 29439149334 31241546232 31541945715 32042611520 33644742096 35146739511 36047937960 36448470604 37850334858 39051932790 39252199112 41655394976 42055927620 43257525552 44158724001 44859656128 45560588255 46862319348 48063917280 48264183602 49065248890 50467113144 52069243720 54071906940 54672705906 56074570160 57676700736 58577899185 58878298668 62483092464 63083891430 63784823557 67289484192 70293479022 72095875920 72396275403 72896941208 73597873335 75700669716 78103865580 78504398224 82009058859 83310789952 84111855240 86515051104 88317448002 91121176510 93724638696 94625837145 96127834560 96528367204 98130497780 100934226288 104138487440 108143813880 109345411812 112149140320 117155798370 117756597336 120660459005 124966184928 126167782860 127569647114 132476172003 134578968384 136681764765 140586958044 144191751840 144792550806 145793882416 147195746670 151401339432 156207731160 157008796448 164018117718 168223710480 168924642607 173030102208 175733697555 176634896004 182242353020 187449277392 189251674290 191354470671 193056734408 196260995560 201868452576 208276974880 216287627760 217188826209 218690823624 220793620005 224298280640 234311596740 235513194672 241320918010 246027176577 249932369856 252335565720 255139294228 264952344006 273363529530 281173916088 288383503680 289585101612 291587764832 294391493340 302802678864 312415462320 313717193413 314017592896 318924117785 328036235436 336447420960 337849285214 351467395110 353269792008 361981377015 364484706040 374898554784 378503348580 382708941342 386113468816 392521991120 403736905152 410045294295 416553949760 432575255520 434377652418 437381647248 441587240010 468623193480 471026389344 482641836020 492054353154 504671131440 506773927821 510278588456 529904688012 546727059060 562347832176 574063412013 579170203224 583175529664 588782986680 605605357728 624830924640 627434386826 637848235570 651566478627 656072470872 662380860015 672894841920 675698570428 702934790220 706539584016 723962754030 728969412080 749797109568 757006697160 765417882684 772226937632 785043982240 820090588590 844623213035 865150511040 868755304836 874763294496 883174480020 937246386960 941151580239 942052778688 956772353355 965283672040 984108706308 1009342262880 1013547855642 1020557176912 1059809376024 1085944131045 1093454118120 1124695664352 1148126824026 1158340406448 1177565973360 1182472498249 1211210715456 1230135882885 1249661849280 1254868773652 1275696471140 1303132957254 1312144941744 1324761720030 1351397140856 1405869580440 1413079168032 1447925508060 1457938824160 1514013394320 1520321783463 1530835765368 1544453875264 1568585967065 1570087964480 1640181177180 1689246426070 1722190236039 1737510609672 1749526588992 1766348960040 1874492773920 1882303160478 1913544706710 1930567344080 1968217412616 2018684525760 2027095711284 2041114353824 2119618752048 2171888262090 2186908236240 2196020353891 2249391328704 2296253648052 2316680812896 2355131946720 2364944996498 2460271765770 2509737547304 2533869639105 2551392942280 2606265914508 2624289883488 2649523440060 2702794281712 2811739160880 2823454740717 2826158336064 2870317060065 2895851016120 2915877648320 3028026788640 3040643566926 3061671530736 3137171934130 3257832393135 3280362354360 3378492852140 3444380472078 3475021219344 3532697920080 3547417494747 3748985547840 3764606320956 3827089413420 3861134688160 3936434825232 4054191422568 4082228707648 4239237504096 4343776524180 4373816472480 4392040707782 4560965350389 4592507296104 4633361625792 4705757901195 4710263893440 4729889992996 4920543531540 5019475094608 5067739278210 5102785884560 5212531829016 5248579766976 5299046880120 5405588563424 5623478321760 5646909481434 5740634120130 5791702032240 5912362491245 6056053577280 6081287133852 6123343061472 6274343868260 6515664786270 6560724708720 6588061061673 6756985704280 6888760944156 6950042438688 7065395840160 7094834989494 7529212641912 7601608917315 7654178826840 7722269376320 7872869650464 8108382845136 8470364222151 8478475008192 8610951180195 8687553048360 8747632944960 8784081415564 9121930700778 9185014592208 9411515802390 9459779985992 9841087063080 10038950189216 10135478556420 10205571769120 10425063658032 10598093760240 10642252484241 10811177126848 10980101769455 11246956643520 11293818962868 11481268240260 11583404064480 11824724982490 12162574267704 12246686122944 12548687736520 13031329572540 13121449417440 13176122123346 13513971408560 13777521888312 13900084877376 14117273703585 14130791680320 14189669978988 15058425283824 15203217834630 15308357653680 15372142477237 15745739300928 16216765690272 16940728444302 17221902360390 17375106096720 17568162831128 17737087473735 18243861401556 18370029184416 18823031604780 18919559971984 19682174126160 19764183185019 20077900378432 20270957112840 20411143538240 20850127316064 21196187520480 21284504968482 21960203538910 22587637925736 22804826751945 22962536480520 23166808128960 23649449964980 24325148535408 25097375473040 26062659145080 26242898834880 26352244246692 27027942817120 27555043776624 28234547407170 28379339957976 30116850567648 30406435669260 30616715307360 30744284954474 31926757452723 32433531380544 32940305308365 33881456888604 34443804720780 34750212193440 35136325662256 35474174947470 36487722803112 36740058368832 37646063209560 37839119943968 39364348252320 39528366370038 40541914225680 41700254632128 42351821110755 42392375040960 42569009936964 43920407077820 45175275851472 45609653503890 45925072961040 46116427431711 47298899929960 48650297070816 50194750946080 52125318290160 52704488493384 53211262421205 54055885634240 55110087553248 56469094814340 56758679915952 59292549555057 60233701135296 60812871338520 61233430614720 61488569908948 63853514905446 65880610616730 67762913777208 68887609441560 69500424386880 70272651324512 70948349894940 72975445606224 75292126419120 75678239887936 76860712386185 78728696504640 79056732740076 81083828451360 84703642221510 85138019873928 87840814155640 90350551702944 91219307007780 91850145922080 92232854863422 94597799859920 97300594141632 98820915925095 100389501892160 104250636580320 105408976986768 106422524842410 110220175106496 112938189628680 113517359831904 118585099110114 121625742677040 122977139817896 127707029810892 131761221233460 135525827554416 137775218883120 138349282295133 140545302649024 141896699789880 145950891212448 150584252838240 153721424772370 158113465480152 159633787263615 162167656902720 169407284443020 170276039747856 175681628311280 180701103405888 182438614015560 183700291844160 184465709726844 189195599719840 197641831850190 208501273160640 210817953973536 212845049684820 225876379257360 227034719663808 230582137158555 237170198220228 243251485354080 245954279635792 255414059621784 263522442466920 271051655108832 275550437766240 276698564590266 283793399579760 291901782424896 296462747775285 301168505676480 307442849544740 316226930960304 319267574527230 338814568886040 340552079495712 351363256622560 364877228031120 368931419453688 378391199439680 395283663700380 415047846885399 421635907947072 425690099369640 451752758514720 461164274317110 474340396440456 486502970708160 491908559271584 510828119243568 527044884933840 542103310217664 551100875532480 553397129180532 567586799159520 592925495550570 614885699089480 632453861920608 638535149054460 677629137772080 681104158991424 691746411475665 702726513245120 729754456062240 737862838907376 790567327400760 830095693770798 851380198739280 903505517029440 922328548634220 948680792880912 983817118543168 1021656238487136 1054089769867680 1106794258361064 1135173598319040 1185850991101140 1229771398178960 1264907723841216 1277070298108920 1355258275544160 1383492822951330 1459508912124480 1475725677814752 1581134654801520 1660191387541596 1702760397478560 1844657097268440 1897361585761824 2043312476974272 2075239234426995 2108179539735360 2213588516722128 2371701982202280 2459542796357920 2554140596217840 2710516551088320 2766985645902660 2951451355629504 3162269309603040 3320382775083192 3405520794957120 3689314194536880 3794723171523648 4150478468853990 4427177033444256 4743403964404560 4919085592715840 5108281192435680 5533971291805320 6324538619206080 6640765550166384 7378628389073760 8300956937707980 8854354066888512 9486807928809120 10216562384871360 11067942583610640 13281531100332768 14757256778147520 16601913875415960 18973615857618240 22135885167221280 26563062200665536 33203827750831920 44271770334442560 66407655501663840 132815311003327680
- Sum of all divisors σ(n): 589401382925900160
- Sum of proper divisors (its aliquot sum) s(n): 456586071922572480
- 132815311003327680 is an abundant number, because the sum of its proper divisors (456586071922572480) is greater than itself. Its abundance is 323770760919244800
Bases of 132815311003327680
- Binary: 1110101111101101011010010010110010001011000011100110000002
- Hexadecimal: 0x1D7DAD259161CC0
- Base-36: 10BR3JK5O6O0
Squares and roots of 132815311003327680
- 132815311003327680 squared (1328153110033276802) is 17639906836910654708228033454182400
- 132815311003327680 cubed (1328153110033276803) is 2342849712614014849469971369595115969091213688832000
-
The
square root of 132815311003327680 is 364438350.0721729477 -
The
cube root of 132815311003327680 is 510210.4872581401
Scales and comparisons
How big is 132815311003327680?- 132,815,311,003,327,680 seconds is equal to 4,223,116,065 years, 9 weeks, 16 hours, 48 minutes.
-
To count from 1 to 132,815,311,003,327,680 would take you about twelve billion, six hundred sixty-nine million, three hundred forty-eight thousand, one hundred ninety-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 132815311003327680 cubic inches would be around 42517.5 feet tall.
Recreational maths with 132815311003327680
- 132815311003327680 backwards is 086723300113518231
- 132815311003327680 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 132815311003327680's digits is 54
- More coming soon!
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"Number 132815311003327680 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 132815311003327680 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/132815311003327680/
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Numbermatics. 2024. "Number 132815311003327680 - Facts about the integer". https://numbermatics.com/n/132815311003327680/
The information we have on file for 132815311003327680 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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