13008679684000
13,008,679,684,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13008679684000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
13008679684000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13008679684000:
25 × 53 × 7 × 11 × 132 × 17 × 61 × 241
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 13 × 13 × 17 × 61 × 241)See below for interesting mathematical facts about the number 13008679684000 from the Numbermatics database.
Names of 13008679684000
- Cardinal: 13008679684000 can be written as Thirteen trillion, eight billion, six hundred seventy-nine million, six hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3008679684 × 1013
Factors of 13008679684000
Divisors of 13008679684000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 17 20 22 25 26 28 32 34 35 40 44 50 52 55 56 61 65 68 70 77 80 85 88 91 100 104 110 112 119 122 125 130 136 140 143 154 160 169 170 175 176 182 187 200 208 220 221 224 238 241 244 250 260 272 275 280 286 305 308 325 338 340 350 352 364 374 385 400 416 425 427 440 442 455 476 482 488 500 520 544 550 560 572 595 610 616 650 671 676 680 700 715 728 748 770 793 800 845 850 854 875 880 884 910 935 952 964 976 1000 1001 1037 1040 1100 1105 1120 1144 1183 1190 1205 1220 1232 1300 1309 1342 1352 1360 1375 1400 1430 1456 1496 1525 1540 1547 1586 1625 1687 1690 1700 1708 1750 1760 1768 1820 1859 1870 1904 1925 1928 1952 2000 2002 2074 2080 2125 2135 2200 2210 2275 2288 2366 2380 2410 2431 2440 2464 2600 2618 2651 2684 2704 2720 2750 2800 2860 2873 2912 2975 2992 3050 3080 3094 3133 3172 3250 3355 3374 3380 3400 3416 3500 3536 3575 3640 3718 3740 3808 3850 3856 3965 4000 4004 4097 4148 4225 4250 4270 4400 4420 4550 4576 4675 4697 4732 4760 4820 4862 4880 5005 5185 5200 5236 5302 5368 5408 5500 5525 5551 5600 5720 5746 5915 5950 5984 6025 6100 6160 6188 6266 6344 6500 6545 6710 6748 6760 6800 6832 7000 7072 7150 7259 7280 7436 7480 7625 7700 7712 7735 7930 8008 8194 8296 8435 8450 8500 8540 8723 8800 8840 9100 9295 9350 9394 9464 9520 9625 9640 9724 9760 10010 10309 10370 10400 10472 10604 10675 10736 11000 11050 11102 11375 11407 11440 11492 11830 11900 12050 12155 12200 12320 12376 12532 12688 13000 13013 13090 13255 13420 13481 13496 13520 13600 13664 14000 14300 14365 14518 14560 14701 14872 14875 14960 15250 15400 15470 15665 15860 16016 16388 16592 16775 16870 16900 17000 17017 17080 17446 17680 17875 18200 18557 18590 18700 18788 18928 19040 19250 19280 19448 19825 20020 20111 20485 20618 20740 20944 21125 21208 21350 21472 21931 22000 22100 22204 22750 22814 22880 22984 23375 23485 23660 23800 24100 24310 24400 24752 25025 25064 25376 25925 26000 26026 26180 26510 26840 26962 26992 27040 27625 27755 28000 28600 28679 28730 29036 29402 29575 29744 29750 29920 30125 30500 30800 30940 31330 31603 31720 32032 32725 32776 33184 33550 33740 33800 34000 34034 34160 34463 34892 35360 35750 36295 36400 37114 37180 37400 37576 37856 38500 38560 38675 38896 39650 40040 40222 40729 40970 41236 41480 41888 42175 42250 42416 42700 43615 43862 44000 44200 44408 45067 45500 45628 45968 46475 46750 46970 47320 47600 48200 48620 48800 49504 50050 50128 51545 51850 52000 52052 52360 53020 53261 53375 53680 53924 53984 55250 55510 57035 57200 57358 57460 58072 58804 59150 59488 59500 60250 60775 61000 61061 61600 61880 62660 63206 63440 65065 65450 65552 66275 67100 67405 67480 67600 68000 68068 68320 68926 69784 71500 71825 72163 72590 72800 73505 74228 74360 74800 75152 77000 77350 77792 78325 79300 79849 80080 80444 81458 81940 82472 82960 83875 84350 84500 84832 85085 85400 87230 87724 88400 88816 90134 91000 91256 91936 92785 92950 93500 93940 94367 94640 95200 96400 97240 99125 100100 100256 100555 102425 102907 103090 103700 104104 104720 106040 106522 106750 107360 107848 109655 110500 111020 113399 114070 114400 114716 114920 116144 117425 117608 118300 119000 120500 121550 122000 122122 123760 125125 125320 126412 126880 129625 130130 130900 131104 132550 134200 134810 134960 135200 136136 137852 138775 139568 143000 143395 143650 144326 145180 147010 147875 148291 148456 148720 149600 150304 154000 154700 156650 158015 158600 159698 160160 160888 161711 162916 163625 163880 164944 165920 167750 168700 169000 170170 170800 172315 174460 175253 175448 176800 177632 180268 181475 182000 182512 185570 185900 187000 187880 188734 189280 191113 192800 193375 194480 198250 200200 201110 203645 204850 205814 206180 207400 208208 209440 210875 212080 213044 213500 215696 218075 219310 221000 221221 222040 225335 226798 228140 229432 229840 232288 232375 234850 235216 236600 238000 241000 241241 243100 244000 244244 247520 249917 250250 250640 252824 257725 259250 260260 261800 265100 266305 268400 269620 269920 272272 275704 277550 279136 285103 285175 286000 286790 287300 288652 290360 294020 295750 296582 296912 297440 303875 305305 308000 309400 313300 315469 316030 317200 319396 321776 323422 325325 325832 327250 327760 329888 331375 335500 337025 337400 338000 340340 341600 344630 348920 350506 350896 359125 360536 360815 362950 364000 365024 367525 371140 371800 372827 374000 375760 377468 382226 386750 388960 391625 396500 399245 400400 402220 407290 409700 411628 412360 414800 416416 421750 424160 425425 426088 427000 431392 436150 438620 442000 442442 444080 448019 450670 453596 456280 458864 459680 463925 464750 469700 470432 471835 473200 476000 482000 482482 486200 488488 499834 500500 501280 502775 505648 512125 514535 515450 518500 520520 523600 530200 532610 536800 539240 544544 548275 551408 555100 566995 570206 570350 572000 573580 574600 577304 580720 585871 587125 588040 591500 593164 593824 607750 610610 618800 626600 630938 632060 634400 638792 643552 646844 650650 651664 654500 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2940200 2965820 2969120 2982616 3019744 3053050 3057808 3094000 3133000 3136133 3154690 3160300 3172000 3175172 3193960 3217760 3234220 3248921 3253250 3258320 3277600 3293024 3370250 3374000 3403400 3446300 3461965 3489200 3498838 3505060 3508960 3539536 3584152 3584875 3605360 3608150 3628768 3629500 3675250 3707275 3711400 3718000 3728270 3757600 3774680 3822260 3855566 3859856 3950375 3968965 3992450 3998672 4004000 4022200 4042775 4072900 4097000 4101097 4116280 4123600 4148000 4152148 4204486 4254250 4260880 4307875 4361500 4381325 4386200 4424420 4440800 4480190 4506700 4527908 4535960 4561648 4562800 4588640 4639250 4686968 4697000 4718350 4732000 4745312 4777825 4824820 4846751 4862000 4884880 4907084 4968938 4998340 5027750 5047504 5056480 5091125 5145350 5154500 5174752 5190185 5205200 5236000 5302000 5326100 5351164 5392400 5482750 5498174 5514080 5530525 5539144 5551000 5608096 5633375 5659885 5669950 5702060 5703500 5735800 5746000 5773040 5807200 5858710 5880400 5931640 5965232 6031025 6106100 6115616 6133855 6188000 6247925 6266000 6272266 6309380 6320600 6350344 6387920 6468440 6497842 6506500 6516640 6657625 6688955 6740500 6748000 6806800 6892600 6923930 6978400 6997676 7010120 7079072 7127575 7168304 7169750 7210720 7216300 7259000 7350500 7414550 7422800 7436000 7456540 7549360 7616323 7632625 7644520 7711132 7719712 7886725 7900750 7937930 7984900 7997344 8044400 8085550 8145800 8194000 8202194 8232560 8247200 8304296 8408972 8508500 8521760 8615750 8723000 8747095 8762650 8772400 8848840 8960380 9013400 9020375 9055816 9071920 9123296 9125600 9278500 9320675 9373936 9394000 9436700 9555650 9638915 9649640 9693502 9724000 9769760 9814168 9937876 9981125 9996680 10055500 10095008 10182250 10290700 10309000 10380370 10410400 10511215 10604000 10652200 10702328 10784800 10965500 10996348 11061050 11078288 11102000 11200475 11266750 11319770 11339900 11404120 11407000 11471600 11492000 11546080 11717420 11760800 11795875 11863280 11930464 12062050 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23726560 23889125 24124100 24233755 24424400 24535420 24844690 24991700 25089064 25237520 25282400 25401376 25726750 25873760 25950925 25991368 26026000 26630500 26755820 26962000 26988962 27329159 27490870 27570400 27652625 27695720 27990704 28040480 28299425 28349750 28510300 28679000 28865200 29036000 29293550 29402000 29431402 29658200 29826160 30155125 30465292 30530500 30578080 30669275 30844528 31239625 31361330 31546900 31603000 31751720 31939600 32342200 32489210 32583200 32808776 33217184 33444775 33635888 34034000 34463000 34619650 34782566 34892000 34988380 35050600 35395360 35637875 35738131 35841520 36053600 36081500 36223264 37072750 37114000 37282700 37746800 38081615 38222600 38487218 38555660 38598560 38774008 39256672 39433625 39689650 39751504 39924500 39986720 40222000 40427750 40729000 41010970 41162800 41236000 41521480 42044860 42235973 42608800 42809312 43735475 43813250 43862000 43985392 44244200 44801900 45067000 45279080 45359600 45484894 45616480 45628000 46603375 46869680 47183500 47778250 48194575 48248200 48467510 48848800 49070840 49689380 49983400 50178128 50475040 51453500 51901850 51982736 52052000 52556075 53261000 53314261 53511640 53924000 53977924 54658318 54981740 55305250 55391440 55981408 56002375 56598850 56699500 57020600 57358000 57730400 58587100 58804000 58862804 59316400 59652320 60310250 60930584 61061000 61338550 61689056 62111725 62479250 62722660 63093800 63206000 63503440 63879200 64684400 64978420 65617552 66889550 67271776 67472405 68068000 68727175 68926000 69239300 69565132 69976760 70101200 71275750 71476262 71683040 72163000 73233875 73578505 74145500 74228000 74565400 75493600 76163230 76445200 76974436 77111320 77548016 78403325 78867250 79379300 79503008 79849000 80444000 80855500 81223025 81458000 82021940 82325600 83042960 84089720 84471946 86549125 86956415 87470950 87626500 87724000 87970784 88488400 89603800 90134000 90558160 90719200 90969788 93206750 93739360 94367000 95556500 96218045 96389150 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198757520 199933600 205054850 205814000 207607400 210224300 211179865 213044000 213257044 214046560 215911696 218633272 218677375 219926960 221221000 224009500 226395400 226798000 227424470 228082400 234348400 235451216 240972875 241241000 242337550 243722336 244244000 245354200 248446900 249917000 250166917 250890640 252375200 259509250 259913680 262780375 266571305 267558200 269889620 273291590 274908700 276957200 278260528 279907040 282994250 285103000 285905048 288652000 292935500 294314020 295651811 296582000 298261600 304652920 306692750 307897744 308445280 310558625 313613300 315469000 317517200 319396000 323422000 324892100 328087760 334447750 336358880 337362025 337887784 343635875 346196500 347825660 349883800 350506000 357381310 358415200 363879152 367892525 372827000 377468000 380816150 382226000 382608226 384872180 385556600 387740080 392016625 396896500 397515040 406115125 410109700 411628000 415214800 420448600 422359730 426514088 431823392 434782075 437266544 437354750 439853920 442442000 448019000 452790800 453596000 454848940 464595703 468696800 470902432 481090225 481945750 482482000 484675100 490708400 496893800 499834000 500333834 501781280 512637125 519018500 519827360 525560750 533142610 535116400 539779240 546583180 549817400 553914400 556521056 565988500 568561175 570206000 571810096 585871000 588628040 591303622 593164000 605843875 609305840 613385500 615795488 621117250 627226600 630938000 635034400 646844000 649784200 656175520 668895500 674724050 675775568 683228975 687271750 692393000 695651320 699767600 701012000 714762620 727758304 735785050 745654000 761632300 764452000 765216452 769744360 771113200 775480160 784033250 793793000 812230250 820219400 830429600 840897200 844719460 853028176 869564150 874533088 874709500 884884000 893453275 896038000 905581600 909697880 929191406 952040375 956520565 962180450 963891500 964964000 969350200 981416800 993787600 999668000 1000667668 1025274250 1038037000 1051121500 1055899325 1066285220 1070232800 1079558480 1093166360 1099634800 1131977000 1137122350 1140412000 1143620192 1171742000 1177256080 1182607244 1211687750 1218611680 1226771000 1242234500 1250834585 1254453200 1261876000 1299568400 1332856525 1337791000 1349448100 1351551136 1366457950 1374543500 1384786000 1391302640 1399535200 1429525240 1471570100 1478259055 1491308000 1523264600 1530432904 1539488720 1542226400 1568066500 1587586000 1624460500 1640438800 1681794400 1686810125 1689438920 1706056352 1739128300 1749419000 1786906550 1792076000 1819395760 1839462625 1858382812 1904080750 1913041130 1924360900 1927783000 1938700400 1987575200 2001335336 2050548500 2076074000 2102243000 2111798650 2132570440 2159116960 2173910375 2186332720 2199269600 2263954000 2274244700 2322978515 2343484000 2354512160 2365214488 2405451125 2423375500 2453542000 2484469000 2501669170 2508906400 2599136800 2665713050 2675582000 2698896200 2732915900 2749087000 2769572000 2782605280 2842805875 2859050480 2943140200 2956518110 3046529200 3060865808 3078977440 3136133000 3175172000 3248921000 3252169921 3280877600 3373620250 3378877840 3416144875 3478256600 3498838000 3573813100 3638791520 3678925250 3716765624 3808161500 3826082260 3848721800 3855566000 3877400800 4002670672 4101097000 4152148000 4204486000 4223597300 4265140880 4347820750 4372665440 4467266375 4527908000 4548489400 4645957030 4730428976 4782602825 4810902250 4846751000 4907084000 4968938000 5003338340 5279496625 5331426100 5351164000 5397792400 5465831800 5498174000 5685611750 5718100960 5886280400 5913036220 6093058400 6121731616 6254172925 6272266000 6497842000 6504339842 6664282625 6747240500 6757755680 6832289750 6956513200 6997676000 7147626200 7357850500 7391295275 7433531248 7616323000 7652164520 7697443600 7711132000 8005341344 8202194000 8408972000 8447194600 8530281760 8695641500 8934532750 9096978800 9291914060 9460857952 9565205650 9621804500 9693502000 9937876000 10006676680 10558993250 10662852200 10795584800 10931663600 10996348000 11371223500 11614892575 11772560800 11826072440 12508345850 12544532000 12995684000 13008679684 13328565250 13494481000 13664579500 13913026400 14295252400 14715701000 14782590550 14867062496 15232646000 15304329040 15394887200 16260849605 16404388000 16894389200 17391283000 17869065500 18193957600 18583828120 19130411300 19243609000 19387004000 20013353360 21117986500 21325704400 21863327200 22742447000 23229785150 23652144880 23913014125 25016691700 26017359368 26657130500 26988962000 27329159000 28590504800 29431402000 29565181100 30465292000 30608658080 31270864625 32521699210 33788778400 34782566000 35738131000 36956476375 37167656240 38260822600 38487218000 40026706720 42235973000 42651408800 45484894000 46459570300 47304289760 47826028250 50033383400 52034718736 53314261000 53977924000 54658318000 58074462875 58862804000 59130362200 62541729250 65043398420 69565132000 71476262000 73912952750 74335312480 76521645200 76974436000 81304248025 84471946000 90969788000 92919140600 95652056500 100066766800 104069437472 106628522000 109316636000 116148925750 118260724400 125083458500 130086796840 142952524000 147825905500 153043290400 162608496050 168943892000 185838281200 191304113000 200133533600 213257044000 232297851500 236521448800 250166917000 260173593680 295651811000 325216992100 371676562400 382608226000 406521240125 464595703000 500333834000 520347187360 591303622000 650433984200 765216452000 813042480250 929191406000 1000667668000 1182607244000 1300867968400 1626084960500 1858382812000 2601735936800 3252169921000 6504339842000 13008679684000
- Sum of all divisors σ(n): 46630173477888
- Sum of proper divisors (its aliquot sum) s(n): 33621493793888
- 13008679684000 is an abundant number, because the sum of its proper divisors (33621493793888) is greater than itself. Its abundance is 20612814109888
Bases of 13008679684000
- Binary: 101111010100110100011011101101000111101000002
- Hexadecimal: 0xBD4D1BB47A0
- Base-36: 4M03S0CKG
Squares and roots of 13008679684000
- 13008679684000 squared (130086796840002) is 169225747120914339856000000
- 13008679684000 cubed (130086796840003) is 2201403538581559864389018685504000000000
-
The
square root of 13008679684000 is 3606754.7302249429 -
The
cube root of 13008679684000 is 23518.5787494233
Scales and comparisons
How big is 13008679684000?- 13,008,679,684,000 seconds is equal to 413,635 years, 40 weeks, 2 days, 6 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,008,679,684,000 would take you about one million, thirty-four thousand and eighty-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 13008679684000 cubic inches would be around 1959.9 feet tall.
Recreational maths with 13008679684000
- 13008679684000 backwards is 00048697680031
- 13008679684000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13008679684000's digits is 52
- More coming soon!
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Numbermatics. (2024). Number 13008679684000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/13008679684000/
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