13430896128000
13,430,896,128,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13430896128000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1248 divisors.
13430896128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13430896128000:
212 × 32 × 53 × 13 × 139 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 139 × 1613)See below for interesting mathematical facts about the number 13430896128000 from the Numbermatics database.
Names of 13430896128000
- Cardinal: 13430896128000 can be written as Thirteen trillion, four hundred thirty billion, eight hundred ninety-six million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3430896128 × 1013
Factors of 13430896128000
Divisors of 13430896128000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 139 144 150 156 160 180 192 195 200 208 225 234 240 250 256 260 278 288 300 312 320 325 360 375 384 390 400 416 417 450 468 480 500 512 520 556 576 585 600 624 640 650 695 720 750 768 780 800 832 834 900 936 960 975 1000 1024 1040 1112 1125 1152 1170 1200 1248 1251 1280 1300 1390 1440 1500 1536 1560 1600 1613 1625 1664 1668 1800 1807 1872 1920 1950 2000 2048 2080 2085 2224 2250 2304 2340 2400 2496 2502 2560 2600 2780 2880 2925 3000 3072 3120 3200 3226 3250 3328 3336 3475 3600 3614 3744 3840 3900 4000 4096 4160 4170 4448 4500 4608 4680 4800 4839 4875 4992 5004 5120 5200 5421 5560 5760 5850 6000 6144 6240 6255 6400 6452 6500 6656 6672 6950 7200 7228 7488 7680 7800 8000 8065 8320 8340 8896 9000 9035 9216 9360 9600 9678 9750 9984 10008 10240 10400 10425 10842 11120 11520 11700 12000 12288 12480 12510 12800 12904 13000 13312 13344 13900 14400 14456 14517 14625 14976 15360 15600 16000 16130 16263 16640 16680 17375 17792 18000 18070 18432 18720 19200 19356 19500 19968 20016 20480 20800 20850 20969 21684 22240 23040 23400 24000 24195 24960 25020 25600 25808 26000 26624 26688 27105 27800 28800 28912 29034 29250 29952 30720 31200 31275 32000 32260 32526 33280 33360 34750 35584 36000 36140 36864 37440 38400 38712 39000 39936 40032 40325 41600 41700 41938 43368 44480 45175 46080 46800 48000 48390 49920 50040 51200 51616 52000 52125 53248 53376 54210 55600 57600 57824 58068 58500 59904 61440 62400 62550 62907 64000 64520 65052 66560 66720 69500 71168 72000 72280 72585 74880 76800 77424 78000 79872 80064 80650 81315 83200 83400 83876 86736 88960 90350 92160 93600 96000 96780 99840 100080 102400 103232 104000 104250 104845 106752 108420 111200 115200 115648 116136 117000 119808 120975 124800 125100 125814 128000 129040 130104 133120 133440 135525 139000 142336 144000 144560 145170 149760 153600 154848 156000 156375 159744 160128 161300 162630 166400 166800 167752 173472 177920 180700 184320 187200 188721 192000 193560 199680 200160 201625 206464 208000 208500 209690 213504 216840 222400 224207 225875 230400 231296 232272 234000 239616 241950 249600 250200 251628 256000 258080 260208 266240 266880 271050 278000 284672 288000 289120 290340 299520 307200 309696 312000 312750 314535 320256 322600 325260 332800 333600 335504 346944 355840 361400 362925 374400 377442 384000 387120 399360 400320 403250 406575 412928 416000 417000 419380 427008 433680 444800 448414 451750 460800 462592 464544 468000 479232 483900 499200 500400 503256 512000 516160 520416 524225 533760 542100 556000 569344 576000 578240 580680 599040 604875 619392 624000 625500 629070 640512 645200 650520 665600 667200 671008 672621 677625 693888 711680 722800 725850 748800 754884 768000 774240 798720 800640 806500 813150 825856 832000 834000 838760 854016 867360 889600 896828 903500 921600 925184 929088 936000 943605 967800 998400 1000800 1006512 1032320 1040832 1048450 1067520 1084200 1112000 1121035 1152000 1156480 1161360 1198080 1209750 1238784 1248000 1251000 1258140 1281024 1290400 1301040 1331200 1334400 1342016 1345242 1355250 1387776 1423360 1445600 1451700 1497600 1509768 1536000 1548480 1572675 1601280 1613000 1626300 1651712 1664000 1668000 1677520 1708032 1734720 1779200 1793656 1807000 1814625 1850368 1858176 1872000 1887210 1935600 1996800 2001600 2013024 2017863 2032875 2064640 2081664 2096900 2135040 2168400 2224000 2242070 2304000 2312960 2322720 2396160 2419500 2477568 2496000 2502000 2516280 2562048 2580800 2602080 2621125 2668800 2684032 2690484 2710500 2775552 2846720 2891200 2903400 2914691 2995200 3019536 3096960 3145350 3202560 3226000 3252600 3303424 3328000 3336000 3355040 3363105 3469440 3558400 3587312 3614000 3629250 3700736 3716352 3744000 3774420 3871200 3993600 4003200 4026048 4035726 4065750 4129280 4163328 4193800 4270080 4336800 4448000 4484140 4608000 4625920 4645440 4718025 4839000 4955136 4992000 5004000 5032560 5124096 5161600 5204160 5242250 5337600 5368064 5380968 5421000 5551104 5605175 5782400 5806800 5829382 5990400 6039072 6193920 6290700 6405120 6452000 6505200 6606848 6656000 6672000 6710080 6726210 6938880 7116800 7174624 7228000 7258500 7401472 7432704 7488000 7548840 7742400 7863375 8006400 8052096 8071452 8131500 8258560 8326656 8387600 8540160 8673600 8744073 8896000 8968280 9251840 9290880 9436050 9678000 9910272 9984000 10008000 10065120 10089315 10323200 10408320 10484500 10675200 10736128 10761936 10842000 11102208 11210350 11564800 11613600 11658764 11980800 12078144 12387840 12581400 12810240 12904000 13010400 13344000 13420160 13452420 13877760 14233600 14349248 14456000 14517000 14573455 14865408 14976000 15097680 15484800 15726750 16012800 16104192 16142904 16263000 16517120 16653312 16775200 16815525 17347200 17488146 17792000 17936560 18503680 18581760 18872100 19356000 19820544 19968000 20016000 20130240 20178630 20646400 20816640 20969000 21350400 21472256 21523872 21684000 22204416 22420700 23129600 23227200 23317528 23590125 24156288 24775680 25162800 25620480 25808000 26020800 26232219 26688000 26840320 26904840 27755520 28025875 28698496 28912000 29034000 29146910 29730816 29952000 30195360 30969600 31453500 32025600 32208384 32285808 32526000 33034240 33306624 33550400 33631050 34694400 34976292 35584000 35873120 37007360 37163520 37744200 38712000 40032000 40260480 40357260 41292800 41633280 41938000 42700800 42944512 43047744 43368000 43720365 44841400 46259200 46454400 46635056 47180250 48312576 49551360 50325600 50446575 51616000 52041600 52464438 53376000 53680640 53809680 55511040 56051750 57396992 57824000 58068000 58293820 59461632 59904000 60390720 61939200 62907000 64051200 64416768 64571616 65052000 66613248 67100800 67262100 69388800 69952584 71168000 71746240 72867275 74327040 75488400 77424000 80064000 80520960 80714520 82585600 83266560 83876000 84077625 85889024 86095488 86736000 87440730 89682800 92518400 92908800 93270112 94360500 96625152 99102720 100651200 100893150 103232000 104083200 104928876 106752000 107361280 107619360 111022080 112103500 114793984 115648000 116136000 116587640 120781440 123878400 125814000 128102400 128833536 129143232 130104000 131161095 134201600 134524200 138777600 139905168 143492480 145734550 148654080 150976800 154848000 160128000 161041920 161429040 165171200 166533120 167752000 168155250 172190976 173472000 174881460 179365600 185036800 185817600 186540224 188721000 193250304 201302400 201786300 206464000 208166400 209857752 213504000 214722560 215238720 218601825 224207000 229587968 231296000 232272000 233175280 241562880 247756800 251628000 252232875 257667072 258286464 260208000 262322190 268403200 269048400 277555200 279810336 286984960 291469100 297308160 301953600 309696000 320256000 322083840 322858080 333066240 335504000 336310500 344381952 346944000 349762920 358731200 364336375 371635200 373080448 377442000 386500608 402604800 403572600 412928000 416332800 419715504 429445120 430477440 437203650 448414000 459175936 462592000 464544000 466350560 483125760 495513600 503256000 504465750 516572928 520416000 524644380 536806400 538096800 555110400 559620672 573969920 582938200 603907200 619392000 640512000 644167680 645716160 655805475 671008000 672621000 688763904 693888000 699525840 717462400 728672750 743270400 746160896 754884000 773001216 805209600 807145200 825856000 832665600 839431008 860954880 874407300 896828000 918351872 925184000 929088000 932701120 966251520 1006512000 1008931500 1033145856 1040832000 1049288760 1073612800 1076193600 1093009125 1119241344 1147939840 1165876400 1207814400 1238784000 1288335360 1291432320 1311610950 1342016000 1345242000 1377527808 1387776000 1399051680 1434924800 1457345500 1486540800 1492321792 1509768000 1610419200 1614290400 1665331200 1678862016 1721909760 1748814600 1793656000 1858176000 1865402240 1932503040 2013024000 2017863000 2066291712 2081664000 2098577520 2147225600 2152387200 2186018250 2238482688 2295879680 2331752800 2415628800 2477568000 2582864640 2623221900 2684032000 2690484000 2755055616 2775552000 2798103360 2869849600 2914691000 2984643584 3019536000 3220838400 3228580800 3279027375 3357724032 3443819520 3497629200 3587312000 3716352000 3730804480 3865006080 4026048000 4035726000 4132583424 4163328000 4197155040 4304774400 4372036500 4476965376 4591759360 4663505600 4831257600 5165729280 5246443800 5368064000 5380968000 5596206720 5739699200 5829382000 5969287168 6039072000 6441676800 6457161600 6558054750 6715448064 6887639040 6995258400 7174624000 7432704000 7461608960 8052096000 8071452000 8265166848 8326656000 8394310080 8609548800 8744073000 8953930752 9327011200 9662515200 10331458560 10492887600 10736128000 10761936000 11192413440 11479398400 11658764000 11938574336 12078144000 12914323200 13116109500 13430896128 13775278080 13990516800 14349248000 14923217920 16104192000 16142904000 16788620160 17219097600 17488146000 17907861504 18654022400 19325030400 20662917120 20985775200 21523872000 22384826880 22958796800 23317528000 24156288000 25828646400 26232219000 26861792256 27981033600 28698496000 29846435840 32208384000 32285808000 33577240320 34438195200 34976292000 35815723008 37308044800 41325834240 41971550400 43047744000 44769653760 46635056000 48312576000 51657292800 52464438000 53723584512 55962067200 57396992000 59692871680 64571616000 67154480640 68876390400 69952584000 74616089600 83943100800 86095488000 89539307520 93270112000 96625152000 103314585600 104928876000 107447169024 111924134400 114793984000 129143232000 134308961280 139905168000 149232179200 167886201600 172190976000 179078615040 186540224000 206629171200 209857752000 223848268800 258286464000 268617922560 279810336000 298464358400 335772403200 344381952000 373080448000 419715504000 447696537600 516572928000 537235845120 559620672000 671544806400 746160896000 839431008000 895393075200 1033145856000 1119241344000 1343089612800 1492321792000 1678862016000 2238482688000 2686179225600 3357724032000 4476965376000 6715448064000 13430896128000
- Sum of all divisors σ(n): 52549002717120
- Sum of proper divisors (its aliquot sum) s(n): 39118106589120
- 13430896128000 is an abundant number, because the sum of its proper divisors (39118106589120) is greater than itself. Its abundance is 25687210461120
Bases of 13430896128000
- Binary: 110000110111000111111100101011110000000000002
- Hexadecimal: 0xC371FCAF000
- Base-36: 4RE2GS1S0
Squares and roots of 13430896128000
- 13430896128000 squared (134308961280002) is 180388970801125392384000000
- 13430896128000 cubed (134308961280003) is 2422785529466740090612746289152000000000
-
The
square root of 13430896128000 is 3664818.7032921561 -
The
cube root of 13430896128000 is 23770.3182746071
Scales and comparisons
How big is 13430896128000?- 13,430,896,128,000 seconds is equal to 427,060 years, 49 weeks, 3 days, 16 hours.
-
To count from 1 to 13,430,896,128,000 would take you about one million, sixty-seven thousand, six hundred fifty-two 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 13430896128000 cubic inches would be around 1980.9 feet tall.
Recreational maths with 13430896128000
- 13430896128000 backwards is 00082169803431
- 13430896128000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13430896128000's digits is 45
- More coming soon!
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The information we have on file for 13430896128000 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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