13408537894400
13,408,537,894,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13408537894400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
13408537894400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13408537894400:
29 × 52 × 11 × 17 × 71 × 257 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 17 × 71 × 257 × 307)See below for interesting mathematical facts about the number 13408537894400 from the Numbermatics database.
Names of 13408537894400
- Cardinal: 13408537894400 can be written as Thirteen trillion, four hundred eight billion, five hundred thirty-seven million, eight hundred ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.34085378944 × 1013
Factors of 13408537894400
Divisors of 13408537894400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 64 68 71 80 85 88 100 110 128 136 142 160 170 176 187 200 220 256 257 272 275 284 307 320 340 352 355 374 400 425 440 512 514 544 550 568 614 640 680 704 710 748 781 800 850 880 935 1028 1088 1100 1136 1207 1228 1280 1285 1360 1408 1420 1496 1535 1562 1600 1700 1760 1775 1870 2056 2176 2200 2272 2414 2456 2560 2570 2720 2816 2827 2840 2992 3070 3124 3200 3377 3400 3520 3550 3740 3905 4112 4352 4369 4400 4544 4675 4828 4912 5140 5219 5440 5632 5654 5680 5984 6035 6140 6248 6400 6425 6754 6800 7040 7100 7480 7675 7810 8224 8704 8738 8800 9088 9350 9656 9824 10280 10438 10880 11308 11360 11968 12070 12280 12496 12800 12850 13277 13508 13600 14080 14135 14200 14960 15350 15620 16448 16885 17476 17600 18176 18247 18700 19312 19525 19648 20560 20876 21760 21797 21845 22616 22720 23936 24140 24560 24992 25700 26095 26554 27016 27200 28160 28270 28400 29920 30175 30700 31240 32896 33770 34952 35200 36352 36494 37400 38624 39050 39296 41120 41752 43520 43594 43690 45232 45440 47872 48059 48280 49120 49984 51400 52190 53108 54032 54400 56540 56800 57409 59840 60350 61400 62480 65792 66385 67540 69904 70400 70675 72988 74800 77248 78100 78592 78899 82240 83504 84425 87188 87380 90464 90880 91235 95744 96118 96560 98240 99968 102800 104380 106216 108064 108800 108985 109225 113080 113600 114818 119680 120700 122800 124960 130475 131584 132770 135080 139808 140800 141350 145976 149600 154496 156200 157184 157798 164480 167008 168850 174376 174760 180928 181760 182470 192236 193120 196480 199936 200717 205600 208760 212432 216128 217600 217970 218450 226160 227200 229636 239360 239767 240295 241400 245600 249920 260950 265540 270160 279616 282700 287045 291952 299200 308992 310199 312400 315596 328960 331925 334016 337700 348752 349520 361856 364940 370549 384472 386240 392960 394495 399872 401434 411200 417520 424864 432256 435940 436900 452320 454400 456175 459272 478720 479534 480590 482800 491200 499840 521900 531080 540320 544925 559232 565400 574090 583904 598400 617984 620398 624800 631192 657920 663850 668032 675400 697504 699040 723712 729880 741098 768944 772480 785920 788990 802868 822400 835040 849728 864512 867889 871880 873800 904640 908800 912350 918544 959068 961180 965600 982400 999680 1003585 1043800 1062160 1080640 1089850 1118464 1130800 1148180 1167808 1196800 1198835 1201475 1240796 1249600 1262384 1327700 1336064 1341283 1350800 1395008 1398080 1435225 1447424 1459760 1482196 1537888 1544960 1550995 1577980 1605736 1644800 1670080 1699456 1729024 1735778 1743760 1747600 1809280 1824700 1837088 1852745 1918136 1922360 1931200 1964800 1972475 1999360 2007170 2087600 2124320 2161280 2179700 2236928 2261600 2296360 2335616 2393600 2397670 2402950 2481592 2499200 2524768 2655400 2672128 2682566 2701600 2790016 2796160 2870450 2919520 2964392 3075776 3089920 3101990 3155960 3211472 3289600 3340160 3398912 3412189 3471556 3487520 3495200 3618560 3649400 3674176 3705490 3836272 3844720 3862400 3929600 3944950 4014340 4076039 4175200 4248640 4322560 4339445 4359400 4523200 4592720 4671232 4795340 4805900 4963184 4998400 5017925 5049536 5310800 5365132 5403200 5580032 5592320 5601829 5740900 5839040 5928784 5994175 6151552 6203980 6311920 6422944 6680320 6706415 6797824 6824378 6943112 6975040 6990400 7237120 7298800 7348352 7410980 7672544 7689440 7724800 7754975 7889900 8028680 8152078 8350400 8497280 8645120 8678890 8718800 9046400 9185440 9263725 9342464 9590680 9611800 9926368 9996800 10035850 10099072 10621600 10730264 10806400 11160064 11184640 11203658 11481800 11678080 11857568 11988350 12303104 12407960 12623840 12845888 13360640 13412830 13648756 13886224 13950080 13980800 14597600 14696704 14754113 14821960 15345088 15378880 15449600 15509950 15779800 16057360 16304156 16700800 16994560 17060945 17357780 17437600 18092800 18370880 18527450 19181360 19223600 19852736 20071700 20198144 20380195 21243200 21460528 21612800 21697225 22407316 22963600 23356160 23715136 23976700 24606208 24815920 25247680 25691776 26825660 27297512 27772448 27900160 27961600 28009145 29195200 29393408 29508226 29643920 30690176 30757760 31019900 31559600 32114720 32608312 33401600 33532075 33989120 34121890 34715560 34875200 36185600 36741760 37054900 38362720 38447200 39705472 40143400 40396288 40760390 42486400 42921056 43225600 43394450 44814632 45927200 46712320 47430272 47953400 49631840 50495360 51383552 53651320 54595024 55544896 55800320 55923200 56018290 58390400 59016452 59287840 61380352 61515520 61620119 62039800 63119200 64229440 65216624 66803200 67064150 68243780 69431120 69750400 73483520 73770565 74109800 76725440 76894400 79410944 80286800 81520780 84972800 85304725 85842112 86788900 89629264 91854400 94860544 95231093 95906800 99263680 100990720 101900975 102767104 107302640 109190048 111089792 112036580 116780800 118032904 118575680 122760704 123031040 123240238 124079600 126238400 128458880 130433248 134128300 136487560 138862240 139500800 140045725 146967040 147541130 148219600 153450880 153788800 158821888 160573600 163041560 169945600 170609450 171684224 173577800 179258528 183708800 189721088 190462186 191813600 198527360 201981440 203801950 214605280 218380096 222179584 224073160 233561600 236065808 237151360 246480476 248159200 252476800 256917760 260866496 268256600 272975120 277724480 279001600 280091450 295082260 296439200 306901760 307577600 308100595 321147200 326083120 341218900 343368448 347155600 358517056 367417600 368852825 380924372 383627200 397054720 407603900 429210560 436760192 444359168 448146320 472131616 474302720 476155465 492960952 496318400 504953600 513835520 521732992 536513200 545950240 555448960 560182900 590164520 592878400 613803520 615155200 616201190 642294400 652166240 682437800 686736896 694311200 717034112 734835200 737705650 761848744 767254400 794109440 815207800 858421120 873520384 896292640 944263232 948605440 952310930 985921904 992636800 1009907200 1043465984 1047542023 1073026400 1091900480 1110897920 1120365800 1180329040 1185756800 1232402380 1284588800 1304332480 1364875600 1388622400 1434068224 1475411300 1523697488 1534508800 1540502975 1630415600 1716842240 1747040768 1792585280 1888526464 1904621860 1971843808 1985273600 2086931968 2095084046 2146052800 2183800960 2221795840 2240731600 2360658080 2371513600 2380777325 2464804760 2569177600 2608664960 2729751200 2777244800 2868136448 2950822600 3047394976 3069017600 3081005950 3260831200 3433684480 3585170560 3777052928 3809243720 3943687616 3970547200 4190168092 4292105600 4367601920 4481463200 4721316160 4743027200 4761554650 4929609520 5217329920 5237710115 5459502400 5554489600 5901645200 6094789952 6162011900 6521662400 7170341120 7554105856 7618487440 7887375232 8380336184 8584211200 8735203840 8962926400 9442632320 9523109300 9859219040 10434659840 10475420230 10919004800 11108979200 11803290400 12189579904 12324023800 13043324800 14340682240 15236974880 15774750464 16760672368 17168422400 17925852800 18885264640 19046218600 19718438080 20950840460 21838009600 23606580800 24379159808 24648047600 26086649600 26188550575 30473949760 31549500928 33521344736 35851705600 37770529280 38092437200 39436876160 41901680920 43676019200 47213161600 48758319616 49296095200 52173299200 52377101150 60947899520 67042689472 71703411200 76184874400 78873752320 83803361840 94426323200 98592190400 104754202300 121895799040 134085378944 152369748800 157747504640 167606723680 188852646400 197184380800 209508404600 243791598080 268170757888 304739497600 335213447360 394368761600 419016809200 536341515776 609478995200 670426894720 788737523200 838033618400 1218957990400 1340853789440 1676067236800 2681707578880 3352134473600 6704268947200 13408537894400
- Sum of all divisors σ(n): 39191690571264
- Sum of proper divisors (its aliquot sum) s(n): 25783152676864
- 13408537894400 is an abundant number, because the sum of its proper divisors (25783152676864) is greater than itself. Its abundance is 12374614782464
Bases of 13408537894400
- Binary: 110000110001111010110010001101011110000000002
- Hexadecimal: 0xC31EB235E00
- Base-36: 4R3SP9IBK
Squares and roots of 13408537894400
- 13408537894400 squared (134085378944002) is 179788888465560785551360000
- 13408537894400 cubed (134085378944003) is 2410706123982526862412042557456384000000
-
The
square root of 13408537894400 is 3661767.0453484611 -
The
cube root of 13408537894400 is 23757.1209048317
Scales and comparisons
How big is 13408537894400?- 13,408,537,894,400 seconds is equal to 426,350 years, 1 week, 3 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,408,537,894,400 would take you about one million, sixty-five thousand, eight hundred seventy-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 13408537894400 cubic inches would be around 1979.8 feet tall.
Recreational maths with 13408537894400
- 13408537894400 backwards is 00449873580431
- The number of decimal digits it has is: 14
- The sum of 13408537894400's digits is 56
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13408537894400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 13408537894400 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13408537894400/
Chicago style:
Numbermatics. 2024. "Number 13408537894400 - Facts about the integer". https://numbermatics.com/n/13408537894400/
The information we have on file for 13408537894400 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!
Keywords: Divisors of 13408537894400, math, Factors of 13408537894400, curriculum, school, college, exams, university, Prime factorization of 13408537894400, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, four hundred eight billion, five hundred thirty-seven million, eight hundred ninety-four thousand, four hundred.