13006521216000
13,006,521,216,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13006521216000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1760 divisors.
13006521216000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty divisors.
Prime factorization of 13006521216000:
210 × 34 × 53 × 133 × 571
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 571)See below for interesting mathematical facts about the number 13006521216000 from the Numbermatics database.
Names of 13006521216000
- Cardinal: 13006521216000 can be written as Thirteen trillion, six billion, five hundred twenty-one million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3006521216 × 1013
Factors of 13006521216000
Divisors of 13006521216000
- Number of divisors d(n): 1760
-
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 96 100 104 108 117 120 125 128 130 135 144 150 156 160 162 169 180 192 195 200 208 216 225 234 240 250 256 260 270 288 300 312 320 324 325 338 351 360 375 384 390 400 405 416 432 450 468 480 500 507 512 520 540 571 576 585 600 624 640 648 650 675 676 702 720 750 768 780 800 810 832 845 864 900 936 960 975 1000 1014 1024 1040 1053 1080 1125 1142 1152 1170 1200 1248 1280 1296 1300 1350 1352 1404 1440 1500 1521 1536 1560 1600 1620 1625 1664 1690 1713 1728 1755 1800 1872 1920 1950 2000 2025 2028 2080 2106 2160 2197 2250 2284 2304 2340 2400 2496 2535 2560 2592 2600 2700 2704 2808 2855 2880 2925 3000 3042 3072 3120 3200 3240 3250 3328 3375 3380 3426 3456 3510 3600 3744 3840 3900 4000 4050 4056 4160 4212 4225 4320 4394 4500 4563 4568 4608 4680 4800 4875 4992 5070 5120 5139 5184 5200 5265 5400 5408 5616 5710 5760 5850 6000 6084 6240 6400 6480 6500 6591 6656 6750 6760 6852 6912 7020 7200 7423 7488 7605 7680 7800 8000 8100 8112 8320 8424 8450 8565 8640 8775 8788 9000 9126 9136 9216 9360 9600 9750 9984 10125 10140 10278 10368 10400 10530 10800 10816 10985 11232 11420 11520 11700 12000 12168 12480 12675 12800 12960 13000 13182 13312 13500 13520 13689 13704 13824 14040 14275 14400 14625 14846 14976 15210 15360 15417 15600 16000 16200 16224 16640 16848 16900 17130 17280 17550 17576 18000 18252 18272 18720 19200 19500 19773 19968 20250 20280 20556 20736 20800 21060 21125 21600 21632 21970 22269 22464 22815 22840 23040 23400 24000 24336 24960 25350 25600 25695 25920 26000 26325 26364 27000 27040 27378 27408 27648 28080 28550 28800 29250 29692 29952 30420 30834 31200 32000 32400 32448 32955 33280 33696 33800 34260 34560 35100 35152 36000 36504 36544 37115 37440 38025 38400 39000 39546 39936 40500 40560 41112 41472 41600 42120 42250 42825 43200 43264 43875 43940 44538 44928 45630 45680 46080 46251 46800 48000 48672 49920 50700 51390 51840 52000 52650 52728 54000 54080 54756 54816 54925 56160 57100 57600 58500 59319 59384 59904 60840 61668 62400 63375 64000 64800 64896 65910 66560 66807 67392 67600 68445 68520 69120 70200 70304 71375 72000 73008 73088 74230 74880 76050 76800 77085 78000 79092 81000 81120 82224 82944 83200 84240 84500 85650 86400 86528 87750 87880 89076 89856 91260 91360 92502 93600 96000 96499 97344 98865 99840 101400 102780 103680 104000 105300 105456 108000 108160 109512 109632 109850 111345 112320 114075 114200 115200 117000 118638 118768 119808 121680 123336 124800 126750 128000 128475 129600 129792 131625 131820 133614 134784 135200 136890 137040 138240 140400 140608 142750 144000 146016 146176 148460 149760 152100 154170 156000 158184 162000 162240 164448 164775 166400 168480 169000 171300 172800 173056 175500 175760 177957 178152 179712 182520 182720 185004 185575 187200 190125 192000 192998 194688 197730 199680 200421 202800 205560 207360 208000 210600 210912 214125 216000 216320 219024 219264 219700 222690 224640 228150 228400 230400 231255 234000 237276 237536 243360 246672 249600 253500 256950 259200 259584 263250 263640 267228 269568 270400 273780 274080 274625 280800 281216 285500 288000 289497 292032 292352 296595 296920 299520 304200 308340 312000 316368 324000 324480 328896 329550 332800 334035 336960 338000 342225 342600 345600 351000 351520 355914 356304 359424 365040 365440 370008 371150 374400 380250 384000 385425 385996 389376 395460 400842 405600 411120 414720 416000 421200 421824 428250 432000 432640 438048 438528 439400 445380 449280 456300 456800 462510 468000 474552 475072 482495 486720 493344 494325 499200 507000 513900 518400 519168 526500 527280 534456 539136 540800 547560 548160 549250 556725 561600 562432 570375 571000 576000 578994 584064 584704 593190 593840 599040 601263 608400 616680 624000 632736 642375 648000 648960 657792 659100 668070 673920 676000 684450 685200 691200 702000 703040 711828 712608 730080 730880 740016 742300 748800 760500 770850 771992 778752 790920 801684 811200 822240 823875 832000 842400 843648 856500 864000 865280 868491 876096 877056 878800 889785 890760 898560 912600 913600 925020 927875 936000 949104 950144 964990 973440 986688 988650 998400 1002105 1014000 1027800 1036800 1053000 1054560 1068912 1078272 1081600 1095120 1096320 1098500 1113450 1123200 1124864 1140750 1142000 1152000 1156275 1157988 1168128 1186380 1187680 1202526 1216800 1233360 1248000 1254487 1265472 1284750 1296000 1297920 1315584 1318200 1336140 1347840 1352000 1368900 1370400 1404000 1406080 1423656 1425216 1447485 1460160 1461760 1480032 1482975 1484600 1497600 1521000 1541700 1543984 1557504 1581840 1603368 1622400 1644480 1647750 1664000 1670175 1684800 1687296 1711125 1713000 1728000 1736982 1752192 1754112 1757600 1779570 1781520 1797120 1825200 1827200 1850040 1855750 1872000 1898208 1900288 1927125 1929980 1946880 1973376 1977300 2004210 2028000 2055600 2073600 2106000 2109120 2137824 2163200 2190240 2192640 2197000 2226900 2246400 2249728 2281500 2284000 2312550 2315976 2336256 2372760 2375360 2405052 2412475 2433600 2466720 2471625 2496000 2508974 2530944 2569500 2592000 2595840 2605473 2631168 2636400 2672280 2695680 2704000 2737800 2740800 2783625 2808000 2812160 2847312 2850432 2894970 2920320 2923520 2960064 2965950 2969200 2995200 3006315 3042000 3083400 3087968 3163680 3206736 3244800 3288960 3295500 3340350 3369600 3374592 3422250 3426000 3456000 3473964 3504384 3515200 3559140 3563040 3650400 3654400 3700080 3711500 3744000 3763461 3796416 3800576 3854250 3859960 3893760 3946752 3954600 4008420 4056000 4111200 4212000 4218240 4275648 4326400 4342455 4380480 4385280 4394000 4448925 4453800 4492800 4563000 4568000 4625100 4631952 4672512 4745520 4750720 4810104 4824950 4867200 4933440 4943250 4992000 5010525 5017948 5061888 5139000 5184000 5210946 5262336 5272800 5344560 5391360 5408000 5475600 5481600 5567250 5616000 5624320 5694624 5700864 5781375 5789940 5840640 5920128 5931900 5938400 6012630 6084000 6166800 6175936 6272435 6327360 6413472 6489600 6577920 6591000 6680700 6739200 6749184 6844500 6852000 6947928 7008768 7030400 7118280 7126080 7237425 7300800 7308800 7400160 7414875 7423000 7488000 7526922 7592832 7601152 7708500 7719920 7787520 7816419 7893504 7909200 8016840 8112000 8222400 8350875 8424000 8436480 8551296 8684910 8760960 8770560 8788000 8897850 8907600 8985600 9126000 9136000 9250200 9263904 9491040 9501440 9620208 9649900 9734400 9866880 9886500 10021050 10035896 10123776 10278000 10368000 10421892 10545600 10689120 10816000 10951200 10963200 11134500 11232000 11248640 11290383 11389248 11401728 11562750 11579880 11681280 11840256 11863800 11876800 12025260 12062375 12168000 12333600 12351872 12544870 12654720 12826944 12979200 13027365 13155840 13182000 13361400 13478400 13689000 13704000 13895856 14017536 14060800 14236560 14252160 14474850 14601600 14617600 14800320 14829750 14846000 14976000 15031575 15053844 15185664 15417000 15439840 15632838 15787008 15818400 16033680 16224000 16444800 16701750 16848000 16872960 17102592 17369820 17521920 17576000 17795700 17815200 18252000 18272000 18500400 18527808 18817305 18982080 19002880 19240416 19299800 19468800 19733760 19773000 20042100 20071792 20247552 20556000 20843784 21091200 21378240 21632000 21712275 21902400 21926400 22244625 22269000 22464000 22580766 22778496 22803456 23125500 23159760 23362560 23680512 23727600 23753600 24050520 24124750 24336000 24667200 24703744 25052625 25089740 25309440 25653888 26054730 26311680 26364000 26722800 26956800 27378000 27408000 27791712 28121600 28473120 28504320 28949700 29203200 29600640 29659500 29692000 30063150 30107688 30371328 30834000 30879680 31265676 31362175 31636800 32067360 32448000 32889600 33403500 33696000 33745920 33871149 34205184 34739640 35043840 35152000 35591400 35630400 36187125 36504000 36544000 37000800 37055616 37634610 37964160 38005760 38480832 38599600 38937600 39082095 39467520 39546000 40084200 40143584 41112000 41687568 42182400 42756480 43424550 43804800 43852800 44489250 44538000 44928000 45161532 45556992 46251000 46319520 47361024 47455200 47507200 48101040 48249500 48672000 49334400 49407488 50105250 50179480 50618880 51307776 52109460 52728000 53445600 54756000 54816000 55583424 56243200 56451915 56946240 57008640 57899400 58406400 59201280 59319000 59384000 60126300 60215376 60742656 61668000 61759360 62531352 62724350 63273600 64134720 64896000 65136825 65779200 66807000 67392000 67742298 68410368 69479280 70087680 70304000 71182800 71260800 72374250 73008000 73088000 74001600 74111232 75157875 75269220 75928320 76961664 77199200 78164190 78935040 79092000 80168400 80287168 82224000 83375136 84364800 85512960 86849100 87609600 88978500 89076000 90323064 91113984 92502000 92639040 94086525 94910400 95014400 96202080 96499000 97344000 98668800 98814976 100210500 100358960 101237760 101613447 102615552 104218920 105456000 106891200 108561375 109512000 109632000 111166848 112903830 113892480 114017280 115798800 116812800 118402560 118638000 118768000 120252600 120430752 123336000 123518720 125062704 125448700 126547200 128269440 130273650 131558400 133614000 134784000 135484596 138958560 140608000 142365600 142521600 144748500 146016000 148003200 148222464 150315750 150538440 151856640 153923328 154398400 156328380 156810875 158184000 160336800 160574336 164448000 166750272 168729600 169355745 171025920 173698200 175219200 177957000 178152000 180646128 182227968 185004000 185278080 188173050 189820800 190028800 192404160 192998000 194688000 195410475 197337600 200421000 200717920 203226894 205231104 208437840 210912000 213782400 217122750 219024000 219264000 222333696 225807660 227784960 231597600 236805120 237276000 237536000 240505200 240861504 246672000 247037440 250125408 250897400 253094400 256538880 260547300 267228000 270969192 277917120 281216000 282259575 284731200 285043200 289497000 292032000 296006400 296444928 300631500 301076880 303713280 307846656 308796800 312656760 313621750 316368000 320673600 321148672 325684125 328896000 333500544 338711490 342051840 347396400 350438400 355914000 356304000 361292256 370008000 370556160 376346100 379641600 384808320 385996000 390820950 394675200 400842000 401435840 406453788 416875680 421824000 427564800 434245500 438048000 444667392 451615320 455569920 463195200 470432625 474552000 475072000 481010400 481723008 493344000 494074880 500250816 501794800 506188800 508067235 513077760 521094600 534456000 541938384 555834240 564519150 569462400 570086400 578994000 584064000 592012800 601263000 602153760 615693312 617593600 625313520 627243500 632736000 641347200 642297344 651368250 657792000 667001088 677422980 694792800 711828000 712608000 722584512 740016000 741112320 752692200 759283200 769616640 771992000 781641900 801684000 802871680 812907576 833751360 843648000 846778725 855129600 868491000 876096000 889334784 903230640 911139840 926390400 940865250 949104000 950144000 962020800 963446016 977052375 986688000 1000501632 1003589600 1016134470 1026155520 1042189200 1068912000 1083876768 1111668480 1129038300 1138924800 1157988000 1184025600 1202526000 1204307520 1235187200 1250627040 1254487000 1265472000 1282694400 1284594688 1302736500 1334002176 1354845960 1389585600 1411297875 1423656000 1425216000 1445169024 1480032000 1482224640 1505384400 1518566400 1539233280 1543984000 1563283800 1603368000 1605743360 1625815152 1667502720 1693557450 1710259200 1736982000 1752192000 1806461280 1852780800 1881730500 1898208000 1924041600 1926892032 1954104750 1973376000 2001003264 2007179200 2032268940 2084378400 2137824000 2167753536 2223336960 2258076600 2277849600 2315976000 2405052000 2408615040 2470374400 2501254080 2508974000 2530944000 2540336175 2565388800 2605473000 2668004352 2709691920 2779171200 2822595750 2847312000 2850432000 2890338048 2960064000 3010768800 3078466560 3087968000 3126567600 3206736000 3211486720 3251630304 3335005440 3387114900 3473964000 3612922560 3705561600 3763461000 3796416000 3848083200 3853784064 3908209500 4002006528 4014358400 4064537880 4168756800 4233893625 4275648000 4335507072 4446673920 4516153200 4555699200 4631952000 4810104000 4817230080 5002508160 5017948000 5080672350 5130777600 5210946000 5419383840 5558342400 5645191500 5694624000 5780676096 5920128000 6021537600 6175936000 6253135200 6413472000 6422973440 6503260608 6670010880 6774229800 6947928000 7225845120 7411123200 7526922000 7592832000 7696166400 7816419000 8004013056 8028716800 8129075760 8337513600 8467787250 8551296000 8671014144 9032306400 9263904000 9620208000 9634460160 10005016320 10035896000 10161344700 10421892000 10838767680 11116684800 11290383000 11389248000 11561352192 12043075200 12351872000 12506270400 12701680875 12826944000 13006521216 13340021760 13548459600 13895856000 14451690240 15053844000 15392332800 15632838000 16057433600 16258151520 16675027200 16935574500 17342028288 18064612800 18527808000 19240416000 19268920320 20010032640 20071792000 20322689400 20843784000 21677535360 22233369600 22580766000 22778496000 24086150400 25012540800 25403361750 25653888000 26013042432 27096919200 27791712000 28903380480 30107688000 31265676000 32114867200 32516303040 33350054400 33871149000 34684056576 36129225600 37055616000 38480832000 40020065280 40143584000 40645378800 41687568000 43355070720 45161532000 48172300800 50025081600 50806723500 52026084864 54193838400 55583424000 57806760960 60215376000 62531352000 65032606080 66700108800 67742298000 72258451200 76961664000 80287168000 81290757600 83375136000 86710141440 90323064000 96344601600 100050163200 101613447000 104052169728 108387676800 111166848000 120430752000 125062704000 130065212160 135484596000 144516902400 160574336000 162581515200 166750272000 173420282880 180646128000 200100326400 203226894000 216775353600 240861504000 250125408000 260130424320 270969192000 289033804800 325163030400 333500544000 361292256000 406453788000 433550707200 481723008000 500250816000 520260848640 541938384000 650326060800 722584512000 812907576000 867101414400 1000501632000 1083876768000 1300652121600 1445169024000 1625815152000 2167753536000 2601304243200 3251630304000 4335507072000 6503260608000 13006521216000
- Sum of all divisors σ(n): 52601823193920
- Sum of proper divisors (its aliquot sum) s(n): 39595301977920
- 13006521216000 is an abundant number, because the sum of its proper divisors (39595301977920) is greater than itself. Its abundance is 26588780761920
Bases of 13006521216000
- Binary: 101111010100010100010001001110101100000000002
- Hexadecimal: 0xBD45113AC00
- Base-36: 4LZ42WW00
Squares and roots of 13006521216000
- 13006521216000 squared (130065212160002) is 169169594142258118656000000
- 13006521216000 cubed (130065212160003) is 2200307915313389542447509405696000000000
-
The
square root of 13006521216000 is 3606455.4920309219 -
The
cube root of 13006521216000 is 23517.2779023783
Scales and comparisons
How big is 13006521216000?- 13,006,521,216,000 seconds is equal to 413,567 years, 7 weeks, 3 days.
-
To count from 1 to 13,006,521,216,000 would take you about one million, thirty-three thousand, nine hundred seventeen 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 13006521216000 cubic inches would be around 1959.8 feet tall.
Recreational maths with 13006521216000
- 13006521216000 backwards is 00061212560031
- 13006521216000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13006521216000's digits is 27
- More coming soon!
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The information we have on file for 13006521216000 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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