13689430466400
13,689,430,466,400 is an even composite number composed of seven prime numbers multiplied together.
13689430466400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13689430466400:
25 × 35 × 52 × 13 × 37 × 281 × 521
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 37 × 281 × 521)See below for interesting mathematical facts about the number 13689430466400 from the Numbermatics database.
Names of 13689430466400
- Cardinal: 13689430466400 can be written as Thirteen trillion, six hundred eighty-nine billion, four hundred thirty million, four hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.36894304664 × 1013
Factors of 13689430466400
Divisors of 13689430466400
- Number of divisors d(n): 1728
-
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 37 39 40 45 48 50 52 54 60 65 72 74 75 78 80 81 90 96 100 104 108 111 117 120 130 135 144 148 150 156 160 162 180 185 195 200 208 216 222 225 234 240 243 260 270 281 288 296 300 312 324 325 333 351 360 370 390 400 405 416 432 444 450 468 480 481 486 520 521 540 555 562 585 592 600 624 648 650 666 675 702 720 740 780 800 810 843 864 888 900 925 936 962 972 975 999 1040 1042 1053 1080 1110 1124 1170 1184 1200 1215 1248 1296 1300 1332 1350 1404 1405 1440 1443 1480 1560 1563 1620 1665 1686 1755 1776 1800 1850 1872 1924 1944 1950 1998 2025 2080 2084 2106 2160 2220 2248 2340 2400 2405 2430 2529 2592 2600 2605 2664 2700 2775 2808 2810 2886 2925 2960 2997 3120 3126 3159 3240 3330 3372 3510 3552 3600 3653 3700 3744 3848 3888 3900 3996 4050 4168 4212 4215 4320 4329 4440 4496 4680 4689 4810 4860 4995 5058 5200 5210 5265 5328 5400 5550 5616 5620 5772 5850 5920 5994 6075 6240 6252 6318 6480 6660 6744 6773 7020 7025 7200 7215 7306 7400 7587 7696 7776 7800 7815 7992 8100 8325 8336 8424 8430 8658 8775 8880 8991 8992 9360 9378 9620 9720 9990 10116 10397 10400 10420 10530 10656 10800 10959 11100 11232 11240 11544 11700 11988 12025 12150 12504 12636 12645 12960 12987 13025 13320 13488 13546 14040 14050 14067 14430 14612 14800 14985 15174 15392 15600 15630 15795 15984 16200 16650 16672 16848 16860 17316 17550 17760 17982 18265 18720 18756 19240 19277 19440 19980 20232 20319 20794 20840 21060 21075 21600 21645 21918 22200 22480 22761 23088 23400 23445 23976 24050 24300 24975 25008 25272 25290 25974 26050 26325 26640 26976 27092 28080 28100 28134 28860 29224 29600 29970 30348 31191 31200 31260 31590 31968 32400 32877 33300 33696 33720 33865 34632 35100 35964 36075 36530 37512 37935 38480 38554 38880 38961 39075 39960 40464 40638 41588 41680 42120 42150 42201 43290 43836 44400 44955 44960 45522 46176 46800 46890 47952 48100 48600 49950 50016 50544 50580 51948 51985 52100 52650 53280 54184 54795 56160 56200 56268 57720 57831 58448 59940 60696 60957 62382 62520 63180 63225 64800 64935 65754 66600 67440 67730 68283 69264 70200 70335 71928 72150 73060 74925 75024 75870 76960 77108 77922 78150 78975 79920 80928 81276 83176 83360 84240 84300 84402 86580 87672 88800 89910 91044 91325 93573 93600 93780 95904 96200 96385 97200 98631 99900 101088 101160 101595 103896 103970 104200 105300 108225 108368 109590 112400 112536 113805 115440 115662 116883 116896 117225 119880 121392 121914 124764 125040 126360 126450 126603 129870 131508 133200 134880 135161 135460 136566 138528 140400 140670 143856 144300 146120 146401 149850 150048 151740 154216 155844 155955 156300 157950 159840 162552 164385 166352 168480 168600 168804 169325 173160 173493 175344 179820 182088 182650 182871 187146 187560 189675 192400 192770 194400 194805 197262 199800 202320 203190 207792 207940 208400 210600 211005 216450 216736 219180 224775 224800 225072 227610 230880 231324 233766 234450 239760 242784 243828 249528 250080 250601 252720 252900 253206 259740 259925 263016 266400 270322 270920 273132 273975 280719 280800 281340 287712 288600 289155 292240 292802 295893 299700 303480 304785 308432 311688 311910 312600 315900 324675 325104 328770 332704 337200 337608 338650 341415 346320 346986 350688 351675 359640 364176 365300 365742 374292 375120 379350 384800 385540 389610 394524 399600 404640 405483 406380 415584 415880 416800 421200 422010 432900 438360 439203 449550 450144 455220 462648 467532 467865 468900 479520 481925 487656 493155 499056 501202 505440 505800 506412 507975 519480 519850 520479 526032 540644 541840 546264 547950 548613 561438 562680 569025 577200 578310 584415 584480 585604 591786 599400 606960 609570 616864 623376 623820 625200 631800 633015 649350 650208 657540 674400 675216 675805 677300 682830 692640 693972 703350 719280 728352 730600 731484 732005 748584 750240 751803 758700 771080 779220 779775 789048 799200 810966 812760 821925 831760 842157 842400 844020 865800 867465 876720 878406 887679 899100 910440 914355 925296 935064 935730 937800 963850 974025 975312 986310 998112 1002404 1011600 1012824 1015950 1038960 1039700 1040958 1052064 1055025 1081288 1083680 1092528 1095900 1097226 1122876 1125360 1138050 1154400 1156620 1168830 1171208 1183572 1198800 1213920 1216449 1219140 1246752 1247640 1250400 1253005 1263600 1266030 1298700 1315080 1317609 1350432 1351610 1354600 1365660 1387944 1403595 1406700 1438560 1445775 1461200 1462968 1464010 1479465 1497168 1503606 1517400 1523925 1542160 1558440 1559550 1561437 1578096 1621932 1625520 1643850 1645839 1663520 1684314 1688040 1707075 1731600 1734930 1753440 1756812 1775358 1798200 1820880 1828710 1850592 1870128 1871460 1875600 1903213 1927700 1948050 1950624 1972620 2004808 2023200 2025648 2027415 2031900 2077920 2079400 2081916 2110050 2162576 2185056 2191800 2194452 2196015 2245752 2250720 2255409 2276100 2313240 2337660 2339325 2342416 2367144 2397600 2432898 2438280 2465775 2495280 2506010 2526471 2527200 2532060 2597400 2602395 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52666848 52704360 54064400 54129816 54168370 54626400 54740205 54861300 56143800 56385225 57096390 58389552 58560400 59178600 59292405 60144240 60822450 60896043 60902816 62457480 63161775 63245232 64877280 65002044 65688246 65833560 65880450 67372560 67662270 68515668 69397200 70272480 70418881 71014320 71150886 72173088 72986940 73148400 74858400 74948976 75180300 76128520 78071850 78904800 79056540 80847072 81096600 81194724 81252555 82291950 83276640 84215700 85644585 86669392 87584328 87778080 87840600 88767900 90216360 91233675 91354224 93506400 93686220 94867848 95160650 97315920 97503066 98820675 100240400 101058840 101282400 101493405 102773502 104095800 105408720 108128800 108259632 108336740 109480410 109722600 112287600 112770450 114192780 116779104 117107775 117120800 118357200 118584810 120288480 121644900 121792086 124914960 126323550 126490464 130004088 131376492 131667120 131760900 134745120 135324540 135420925 137031336 138794400 140837762 142028640 142301772 142740975 145973880 146254599 146296800 149897952 150360600 152257040 154160253 156143700 158113080 162193200 162389448 162505110 164220615 164583900 168431400 169155675 171289170 173338784 175168656 175681200 177535800 177877215 180432720 182467350 182708448 187372440 189735696 190321300 194631840 195006132 197641350 200480800 202117680 202986810 205547004 208191600 210817440 211256643 216519264 216673480 218960820 219445200 224575200 225540900 228385560 234215550 236714400 237169620 243289800 243584172 243757665 249829920 252647100 256933755 260008176 262752984 263334240 263521800 270649080 270841850 273701025 274062672 281675524 284603544 285481950 291947760 292509198 296462025 300721200 304480215 304514080 308320506 312287400 316226160 324386400 324778896 325010220 328441230 329167800 336862800 338311350 342578340 350337312 351362400 352094405 355071600 355754430 360865440 364934700 374744880 379471392 380642600 390012264 395282700 404235360 405973620 406262775 411094008 416383200 422513286 428222925 433346960 437921640 438763797 438890400 451081800 456771120 462480759 468431100 474339240 486579600 487168344 487515330 505294200 507467025 513867510 520016352 525505968 527043600 541298160 541683700 547402050 548125344 563351048 569207088 570963900 583895520 585018396 592924050 601442400 608960430 616641012 624574800 632452320 633769929 649557792 650020440 656882460 658335600 673725600 676622700 685156680 704188810 710143200 711508860 729869400 731272995 749489760 761285200 770801265 780024528 790565400 811947240 812525550 821103075 822188016 845026572 856445850 866693920 875843280 877527594 889386075 902163600 913542240 924961518 936862200 948678480 973159200 974336688 975030660 1010588400 1014934050 1027735020 1051011936 1054087200 1056283215 1082596320 1083367400 1094804100 1126702096 1138414176 1141927800 1170036792 1185848100 1217920860 1218788325 1233282024 1249149600 1267539858 1284668775 1300040880 1313764920 1316291391 1316671200 1353245400 1370313360 1408377620 1423017720 1459738800 1462545990 1522401075 1522570400 1541602530 1560049056 1581130800 1623894480 1625051100 1642206150 1644376032 1690053144 1712891700 1751686560 1755055188 1760472025 1778772150 1804327200 1849923036 1873724400 1897356960 1901309787 1948673376 1950061320 2021176800 2029868100 2055470040 2112566430 2166734800 2189608200 2193818985 2253404192 2283855600 2312403795 2340073584 2371696200 2435841720 2437576650 2466564048 2535079716 2569337550 2600081760 2627529840 2632582782 2706490800 2740626720 2816755240 2846035440 2919477600 2925091980 3044802150 3083205060 3162261600 3168849645 3247788960 3250102200 3284412300 3380106288 3425783400 3510110376 3520944050 3557544300 3656364975 3699846072 3747448800 3802619574 3854006325 3900122640 4059736200 4110940080 4225132860 4333469600 4379216400 4387637970 4567711200 4624807590 4680147168 4743392400 4871683440 4875153300 4933128096 5070159432 5138675100 5255059680 5265165564 5281416075 5412981600 5633510480 5692070880 5703929361 5850183960 6089604300 6166410120 6337699290 6500204400 6568824600 6581456955 6760212576 6851566800 7020220752 7041888100 7115088600 7312729950 7399692144 7605239148 7708012650 7800245280 8119472400 8221880160 8450265720 8758432800 8775275940 9249615180 9486784800 9506548935 9743366880 9750306600 10140318864 10277350200 10530331128 10562832150 10969094925 11267020960 11407858722 11562018975 11700367920 12179208600 12332820240 12675398580 13000408800 13137649200 13162913910 13703133600 14040441504 14083776200 14230177200 14625459900 14799384288 15210478296 15416025300 15844248225 16238944800 16900531440 17111788083 17550551880 18499230360 19013097870 19500613200 20280637728 20554700400 21060662256 21125664300 21938189850 22815717444 23124037950 23400735840 24358417200 24665640480 25350797160 26275298400 26325827820 28167552400 28460354400 28519646805 29250919800 30420956592 30832050600 31688496450 32907284775 33801062880 34223576166 35101103760 36998460720 38026195740 39001226400 41109400800 42121324512 42251328600 43876379700 45631434888 46248075900 47532744675 48716834400 50701594320 52651655640 56335104800 57039293610 58501839600 60841913184 61664101200 63376992900 65814569550 68447152332 70202207520 73996921440 76052391480 84502657200 85558940415 87752759400 91262869776 92496151800 95065489350 101403188640 105303311280 114078587220 117003679200 123328202400 126753985800 131629139100 136894304664 142598234025 152104782960 169005314400 171117880830 175505518800 182525739552 184992303600 190130978700 210606622560 228157174440 253507971600 263258278200 273788609328 285196468050 304209565920 342235761660 351011037600 369984607200 380261957400 427794702075 456314348880 507015943200 526516556400 547577218656 570392936100 684471523320 760523914800 855589404150 912628697760 1053033112800 1140785872200 1368943046640 1521047829600 1711178808300 2281571744400 2737886093280 3422357616600 4563143488800 6844715233200 13689430466400
- Sum of all divisors σ(n): 55671749654976
- Sum of proper divisors (its aliquot sum) s(n): 41982319188576
- 13689430466400 is an abundant number, because the sum of its proper divisors (41982319188576) is greater than itself. Its abundance is 28292888722176
Bases of 13689430466400
- Binary: 110001110011010100011010001111011111011000002
- Hexadecimal: 0xC7351A3DF60
- Base-36: 4UOU5G600
Squares and roots of 13689430466400
- 13689430466400 squared (136894304664002) is 187400506494400521528960000
- 13689430466400 cubed (136894304664003) is 2565406203023237560422594133906944000000
-
The
square root of 13689430466400 is 3699923.0351995161 -
The
cube root of 13689430466400 is 23921.8700430763
Scales and comparisons
How big is 13689430466400?- 13,689,430,466,400 seconds is equal to 435,281 years, 28 weeks, 2 days, 6 hours.
-
To count from 1 to 13,689,430,466,400 would take you about one million, eighty-eight thousand, two hundred three 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 13689430466400 cubic inches would be around 1993.5 feet tall.
Recreational maths with 13689430466400
- 13689430466400 backwards is 00466403498631
- 13689430466400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13689430466400's digits is 54
- More coming soon!
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The information we have on file for 13689430466400 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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