13678806528000
13,678,806,528,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13678806528000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1248 divisors.
13678806528000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13678806528000:
212 × 33 × 53 × 97 × 1012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 97 × 101 × 101)See below for interesting mathematical facts about the number 13678806528000 from the Numbermatics database.
Names of 13678806528000
- Cardinal: 13678806528000 can be written as Thirteen trillion, six hundred seventy-eight billion, eight hundred six million, five hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3678806528 × 1013
Factors of 13678806528000
Divisors of 13678806528000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 97 100 101 108 120 125 128 135 144 150 160 180 192 194 200 202 216 225 240 250 256 270 288 291 300 303 320 360 375 384 388 400 404 432 450 480 485 500 505 512 540 576 582 600 606 640 675 720 750 768 776 800 808 864 873 900 909 960 970 1000 1010 1024 1080 1125 1152 1164 1200 1212 1280 1350 1440 1455 1500 1515 1536 1552 1600 1616 1728 1746 1800 1818 1920 1940 2000 2020 2048 2160 2250 2304 2328 2400 2424 2425 2525 2560 2619 2700 2727 2880 2910 3000 3030 3072 3104 3200 3232 3375 3456 3492 3600 3636 3840 3880 4000 4040 4096 4320 4365 4500 4545 4608 4656 4800 4848 4850 5050 5120 5238 5400 5454 5760 5820 6000 6060 6144 6208 6400 6464 6750 6912 6984 7200 7272 7275 7575 7680 7760 8000 8080 8640 8730 9000 9090 9216 9312 9600 9696 9700 9797 10100 10201 10240 10476 10800 10908 11520 11640 12000 12120 12125 12288 12416 12625 12800 12928 13095 13500 13635 13824 13968 14400 14544 14550 15150 15360 15520 16000 16160 17280 17460 18000 18180 18432 18624 19200 19392 19400 19594 20200 20402 20480 20952 21600 21816 21825 22725 23040 23280 24000 24240 24250 24832 25250 25600 25856 26190 27000 27270 27648 27936 28800 29088 29100 29391 30300 30603 30720 31040 32000 32320 34560 34920 36000 36360 36375 36864 37248 37875 38400 38784 38800 39188 40400 40804 41904 43200 43632 43650 45450 46080 46560 48000 48480 48500 48985 49664 50500 51005 51200 51712 52380 54000 54540 55296 55872 57600 58176 58200 58782 60600 61206 61440 62080 64000 64640 65475 68175 69120 69840 72000 72720 72750 74496 75750 76800 77568 77600 78376 80800 81608 83808 86400 87264 87300 88173 90900 91809 92160 93120 96000 96960 97000 97970 99328 101000 102010 102400 103424 104760 108000 109080 109125 110592 111744 113625 115200 116352 116400 117564 121200 122412 124160 128000 129280 130950 136350 138240 139680 144000 145440 145500 146955 148992 151500 153015 153600 155136 155200 156752 161600 163216 167616 172800 174528 174600 176346 181800 183618 184320 186240 192000 193920 194000 195940 198656 202000 204020 206848 209520 216000 218160 218250 223488 227250 230400 232704 232800 235128 242400 244824 244925 248320 255025 256000 258560 261900 264519 272700 275427 276480 279360 288000 290880 291000 293910 297984 303000 306030 307200 310272 310400 313504 323200 326432 327375 335232 340875 345600 349056 349200 352692 363600 367236 372480 384000 387840 388000 391880 397312 404000 408040 413696 419040 432000 436320 436500 440865 446976 454500 459045 460800 465408 465600 470256 484800 489648 489850 496640 510050 512000 517120 523800 529038 545400 550854 552960 558720 576000 581760 582000 587820 595968 606000 612060 620544 620800 627008 646400 652864 654750 670464 681750 691200 698112 698400 705384 727200 734472 734775 744960 765075 768000 775680 776000 783760 808000 816080 838080 864000 872640 873000 881730 893952 909000 918090 921600 930816 931200 940512 969600 979296 979700 989497 993280 1020100 1034240 1047600 1058076 1090800 1101708 1117440 1152000 1163520 1164000 1175640 1191936 1212000 1224120 1224625 1241088 1241600 1254016 1275125 1292800 1305728 1309500 1322595 1340928 1363500 1377135 1382400 1396224 1396800 1410768 1454400 1468944 1469550 1489920 1530150 1536000 1551360 1552000 1567520 1616000 1632160 1676160 1728000 1745280 1746000 1763460 1787904 1818000 1836180 1861632 1862400 1881024 1939200 1958592 1959400 1978994 1986560 2040200 2068480 2095200 2116152 2181600 2203416 2204325 2234880 2295225 2304000 2327040 2328000 2351280 2424000 2448240 2449250 2483200 2508032 2550250 2585600 2611456 2619000 2645190 2681856 2727000 2754270 2764800 2792448 2793600 2821536 2908800 2937888 2939100 2968491 2979840 3060300 3102720 3104000 3135040 3232000 3264320 3352320 3456000 3490560 3492000 3526920 3575808 3636000 3672360 3673875 3723264 3724800 3762048 3825375 3878400 3917184 3918800 3957988 4080400 4190400 4232304 4363200 4406832 4408650 4469760 4590450 4608000 4654080 4656000 4702560 4848000 4896480 4898500 4947485 4966400 5016064 5100500 5171200 5222912 5238000 5290380 5363712 5454000 5508540 5584896 5587200 5643072 5817600 5875776 5878200 5936982 5959680 6120600 6205440 6208000 6270080 6464000 6528640 6612975 6704640 6885675 6912000 6981120 6984000 7053840 7272000 7344720 7347750 7449600 7524096 7650750 7756800 7834368 7837600 7915976 8160800 8380800 8464608 8726400 8813664 8817300 8905473 8939520 9180900 9308160 9312000 9405120 9696000 9792960 9797000 9894970 9932800 10032128 10201000 10342400 10445824 10476000 10580760 10727424 10908000 11017080 11021625 11169792 11174400 11286144 11476125 11635200 11751552 11756400 11873964 12241200 12416000 12540160 12928000 13057280 13225950 13409280 13771350 13824000 13962240 13968000 14107680 14544000 14689440 14695500 14842455 14899200 15048192 15301500 15513600 15668736 15675200 15831952 16321600 16761600 16929216 17452800 17627328 17634600 17810946 17879040 18361800 18616320 18624000 18810240 19392000 19585920 19594000 19789940 20064256 20402000 20891648 20952000 21161520 21816000 22034160 22043250 22348800 22572288 22952250 23270400 23503104 23512800 23747928 24482400 24737425 24832000 25080320 25856000 26114560 26451900 26716419 26818560 27542700 27924480 27936000 28215360 29088000 29378880 29391000 29684910 29798400 30096384 30603000 31027200 31337472 31350400 31663904 32643200 33064875 33523200 33858432 34428375 34905600 35254656 35269200 35621892 36723600 37248000 37620480 38784000 39171840 39188000 39579880 40128512 40804000 41783296 41904000 42323040 43632000 44068320 44086500 44527365 44697600 45144576 45904500 46540800 47006208 47025600 47495856 48964800 49474850 49664000 50160640 51712000 52229120 52903800 53432838 53637120 55085400 55848960 55872000 56430720 58176000 58757760 58782000 59369820 60192768 61206000 62674944 62700800 63327808 65286400 66129750 67046400 67716864 68856750 69811200 70509312 70538400 71243784 73447200 74212275 74496000 75240960 77568000 78343680 78376000 79159760 81608000 83808000 84646080 87264000 88136640 88173000 89054730 89395200 90289152 91809000 93081600 94012416 94051200 94991712 97929600 98949700 100321280 104458240 105807600 106865676 110170800 111744000 112861440 116352000 117515520 117564000 118739640 120385536 122412000 123687125 125349888 125401600 126655616 130572800 132259500 133582095 134092800 135433728 137713500 139622400 141018624 141076800 142487568 146894400 148424550 148992000 150481920 155136000 156687360 156752000 158319520 163216000 167616000 169292160 174528000 176273280 176346000 178109460 180578304 183618000 188024832 188102400 189983424 195859200 197899400 200642560 208916480 211615200 213731352 220341600 222636825 223488000 225722880 232704000 235031040 235128000 237479280 244824000 247374250 250803200 253311232 261145600 264519000 267164190 268185600 270867456 275427000 279244800 282037248 282153600 284975136 293788800 296849100 300963840 313374720 313504000 316639040 326432000 335232000 338584320 349056000 352546560 352692000 356218920 361156608 367236000 371061375 376049664 376204800 379966848 391718400 395798800 423230400 427462704 440683200 445273650 446976000 451445760 465408000 470062080 470256000 474958560 489648000 494748500 501606400 506622464 522291200 529038000 534328380 541734912 550854000 564074496 564307200 569950272 587577600 593698200 601927680 626749440 627008000 633278080 652864000 667910475 670464000 677168640 698112000 705093120 705384000 712437840 734472000 742122750 752409600 759933696 783436800 791597600 846460800 854925408 881366400 890547300 902891520 940124160 940512000 949917120 979296000 989497000 1003212800 1013244928 1044582400 1058076000 1068656760 1083469824 1101708000 1113184125 1128148992 1128614400 1139900544 1175155200 1187396400 1254016000 1266556160 1305728000 1335820950 1340928000 1354337280 1396224000 1410186240 1410768000 1424875680 1468944000 1484245500 1504819200 1519867392 1566873600 1583195200 1692921600 1709850816 1762732800 1781094600 1805783040 1880248320 1881024000 1899834240 1958592000 1978994000 2026489856 2116152000 2137313520 2203416000 2226368250 2257228800 2279801088 2350310400 2374792800 2508032000 2533112320 2611456000 2671641900 2708674560 2820372480 2821536000 2849751360 2937888000 2968491000 3009638400 3039734784 3133747200 3166390400 3339552375 3385843200 3419701632 3525465600 3562189200 3762048000 3799668480 3917184000 3957988000 4052979712 4232304000 4274627040 4406832000 4452736500 4514457600 4559602176 4700620800 4749585600 5016064000 5066224640 5222912000 5343283800 5417349120 5640744960 5643072000 5699502720 5875776000 5936982000 6079469568 6332780800 6679104750 6771686400 6839403264 7050931200 7124378400 7524096000 7599336960 7834368000 7915976000 8464608000 8549254080 8813664000 8905473000 9028915200 9119204352 9401241600 9499171200 10132449280 10686567600 11286144000 11399005440 11751552000 11873964000 12158939136 12665561600 13358209500 13543372800 13678806528 14101862400 14248756800 15048192000 15198673920 15668736000 15831952000 16929216000 17098508160 17627328000 17810946000 18238408704 18998342400 20264898560 21373135200 22572288000 22798010880 23503104000 23747928000 25331123200 26716419000 27086745600 27357613056 28203724800 28497513600 30397347840 31663904000 33858432000 34197016320 35254656000 35621892000 36476817408 37996684800 42746270400 45144576000 45596021760 47006208000 47495856000 50662246400 53432838000 54715226112 56995027200 60794695680 63327808000 67716864000 68394032640 70509312000 71243784000 75993369600 85492540800 91192043520 94991712000 101324492800 106865676000 109430452224 113990054400 126655616000 135433728000 136788065280 141018624000 142487568000 151986739200 170985081600 182384087040 189983424000 213731352000 227980108800 253311232000 273576130560 284975136000 303973478400 341970163200 379966848000 427462704000 455960217600 506622464000 547152261120 569950272000 683940326400 759933696000 854925408000 911920435200 1139900544000 1367880652800 1519867392000 1709850816000 2279801088000 2735761305600 3419701632000 4559602176000 6839403264000 13678806528000
- Sum of all divisors σ(n): 51607318176960
- Sum of proper divisors (its aliquot sum) s(n): 37928511648960
- 13678806528000 is an abundant number, because the sum of its proper divisors (37928511648960) is greater than itself. Its abundance is 24249705120960
Bases of 13678806528000
- Binary: 110001110000110110000110011101110000000000002
- Hexadecimal: 0xC70D8677000
- Base-36: 4UJYG8AO0
Squares and roots of 13678806528000
- 13678806528000 squared (136788065280002) is 187109748030455414784000000
- 13678806528000 cubed (136788065280003) is 2559438042811428670560326909952000000000
-
The
square root of 13678806528000 is 3698487.0593257455 -
The
cube root of 13678806528000 is 23915.6801033937
Scales and comparisons
How big is 13678806528000?- 13,678,806,528,000 seconds is equal to 434,943 years, 38 weeks, 2 days.
-
To count from 1 to 13,678,806,528,000 would take you about one million, eighty-seven thousand, three hundred fifty-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 13678806528000 cubic inches would be around 1993 feet tall.
Recreational maths with 13678806528000
- 13678806528000 backwards is 00082560887631
- 13678806528000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13678806528000's digits is 54
- More coming soon!
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The information we have on file for 13678806528000 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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