13684068806400
13,684,068,806,400 is an even composite number composed of seven prime numbers multiplied together.
13684068806400 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 13684068806400:
28 × 33 × 52 × 29 × 31 × 59 × 1493
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 29 × 31 × 59 × 1493)See below for interesting mathematical facts about the number 13684068806400 from the Numbermatics database.
Names of 13684068806400
- Cardinal: 13684068806400 can be written as Thirteen trillion, six hundred eighty-four billion, sixty-eight million, eight hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.36840688064 × 1013
Factors of 13684068806400
Divisors of 13684068806400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 31 32 36 40 45 48 50 54 58 59 60 62 64 72 75 80 87 90 93 96 100 108 116 118 120 124 128 135 144 145 150 155 160 174 177 180 186 192 200 216 225 232 236 240 248 256 261 270 279 288 290 295 300 310 320 348 354 360 372 384 400 432 435 450 464 465 472 480 496 522 531 540 558 576 580 590 600 620 640 675 696 708 720 725 744 768 775 783 800 837 864 870 885 899 900 928 930 944 960 992 1044 1062 1080 1116 1152 1160 1180 1200 1240 1280 1305 1350 1392 1395 1416 1440 1450 1475 1488 1493 1550 1566 1593 1600 1674 1711 1728 1740 1770 1798 1800 1829 1856 1860 1888 1920 1984 2088 2124 2160 2175 2232 2304 2320 2325 2360 2400 2480 2610 2655 2697 2700 2784 2790 2832 2880 2900 2950 2976 2986 3100 3132 3186 3200 3348 3422 3456 3480 3540 3596 3600 3658 3712 3720 3776 3840 3915 3968 4176 4185 4248 4320 4350 4425 4464 4479 4495 4640 4650 4720 4800 4960 5133 5220 5310 5394 5400 5487 5568 5580 5664 5760 5800 5900 5952 5972 6200 6264 6372 6400 6525 6696 6844 6912 6960 6975 7080 7192 7200 7316 7424 7440 7465 7552 7830 7936 7965 8091 8352 8370 8496 8555 8640 8700 8850 8928 8958 8990 9145 9280 9300 9440 9600 9920 10266 10440 10620 10788 10800 10974 11136 11160 11328 11520 11600 11800 11904 11944 12400 12528 12744 13050 13275 13392 13437 13485 13688 13920 13950 14160 14384 14400 14632 14880 14930 15104 15399 15660 15930 16182 16461 16704 16740 16992 17110 17280 17400 17700 17856 17916 17980 18290 18560 18600 18880 19200 19575 19840 20532 20880 20925 21240 21576 21600 21948 22272 22320 22395 22475 22656 23200 23600 23808 23888 24273 24800 25056 25488 25665 26100 26550 26784 26874 26970 27376 27435 27840 27900 28320 28768 28800 29264 29760 29860 30798 31320 31860 32364 32922 33408 33480 33984 34220 34560 34800 35400 35712 35832 35960 36580 37120 37200 37325 37760 39150 39680 39825 40311 40455 41064 41760 41850 42480 42775 43152 43200 43297 43896 44640 44790 44950 45312 45725 46197 46283 46400 47200 47776 48546 49383 49600 50112 50976 51330 52200 53041 53100 53568 53748 53940 54752 54870 55680 55800 56640 57536 57600 58528 59520 59720 61596 62640 63720 64728 65844 66816 66960 67185 67425 67968 68440 69600 70800 71424 71664 71920 73160 74400 74650 75520 76995 78300 79650 80622 80910 82128 82305 83520 83700 84960 85550 86304 86400 86594 87792 88087 89280 89580 89900 91450 92394 92566 92800 94400 95552 97092 98766 99200 100224 101952 102660 104400 106082 106200 107136 107496 107880 109504 109740 111360 111600 111975 113280 115072 117056 119040 119440 121365 123192 125280 127440 128325 129456 129891 131688 133920 134370 134850 135936 136880 137175 138849 139200 141600 143328 143840 146320 148800 149300 153990 156600 159123 159300 161244 161820 164256 164610 167040 167400 169920 171100 172608 172800 173188 175584 176174 178560 179160 179800 182900 184788 185132 185600 188800 191104 194184 197532 198400 200448 201555 202275 203904 205320 208800 212164 212400 214272 214992 215760 216485 219008 219480 223200 223950 226560 230144 230985 231415 234112 238880 242730 246384 246915 250560 254880 256650 258912 259782 263376 264261 265205 267840 268740 269700 273760 274350 277698 278400 283200 286656 287680 292640 297600 298600 307980 313200 318246 318600 322488 323640 328512 329220 334080 334800 335925 339840 342200 345216 346376 351168 352348 357120 358320 359600 365800 369576 370264 377600 382208 384975 388368 389673 395064 403110 404550 407808 410640 411525 416547 417600 424328 424800 429984 431520 432970 438016 438960 440435 446400 447900 461970 462830 468224 477369 477760 485460 492768 493830 501120 509760 513300 517824 519564 526752 528522 530410 535680 537480 539400 547520 548700 555396 556800 566400 573312 575360 585280 595200 597200 606825 615960 626400 636492 637200 644976 647280 649455 657024 658440 669600 671850 679680 684400 690432 692752 694245 702336 704696 716640 719200 731600 739152 740528 769950 776736 779346 790128 792783 795615 806220 809100 821280 823050 833094 835200 848656 849600 859968 863040 865940 877920 880870 892800 895800 923940 925660 954738 955520 970920 985536 987660 1002240 1007775 1019520 1026600 1035648 1039128 1053504 1057044 1060820 1071360 1074960 1078800 1082425 1095040 1097400 1110792 1132800 1146624 1150720 1154925 1157075 1169019 1170560 1194400 1213650 1231920 1234575 1249641 1252800 1272984 1274400 1289952 1294560 1298910 1314048 1316880 1321305 1326025 1339200 1342207 1343700 1368800 1385504 1388490 1404672 1409392 1432107 1433280 1438400 1463200 1478304 1481056 1539900 1553472 1558692 1580256 1585566 1591230 1612440 1618200 1642560 1646100 1666188 1670400 1697312 1699200 1719936 1726080 1731880 1755840 1761740 1785600 1791600 1847880 1851320 1909476 1911040 1941840 1948365 1971072 1975320 2015550 2039040 2053200 2071296 2078256 2082735 2107008 2114088 2121640 2149920 2157600 2164850 2190080 2194800 2202175 2221584 2309850 2314150 2338038 2341120 2378349 2386845 2388800 2427300 2463840 2469150 2499282 2505600 2545968 2548800 2554523 2579904 2589120 2597820 2633760 2642610 2652050 2678400 2684414 2687400 2730697 2737600 2771008 2776980 2818784 2864214 2866560 2876800 2926400 2956608 2962112 3079800 3106944 3117384 3160512 3171132 3182460 3224880 3236400 3247275 3285120 3292200 3332376 3394624 3398400 3439872 3452160 3463760 3471225 3511680 3523480 3583200 3695760 3702640 3818952 3883680 3896730 3942144 3950640 3963915 3978075 4026621 4031100 4106400 4156512 4165470 4214016 4228176 4243280 4299840 4315200 4329700 4389600 4404350 4443168 4619700 4628300 4676076 4756698 4773690 4777600 4854600 4927680 4938300 4998564 5011200 5091936 5097600 5109046 5159808 5178240 5195640 5267520 5285220 5304100 5356800 5368828 5374800 5461394 5475200 5542016 5553960 5637568 5728428 5733120 5753600 5845095 5852800 5913216 5924224 6159600 6213888 6234768 6248205 6321024 6342264 6364920 6449760 6472800 6494550 6570240 6584400 6606525 6664752 6711035 6789248 6927520 6942450 7023360 7046960 7160535 7166400 7391520 7405280 7637904 7663569 7767360 7793460 7901280 7927830 7956150 8053242 8062200 8192091 8212800 8313024 8330940 8456352 8486560 8599680 8630400 8659400 8779200 8808700 8886336 9239400 9256600 9352152 9513396 9547380 9555200 9709200 9741825 9855360 9876600 9997128 10183872 10195200 10218092 10319616 10356480 10391280 10413675 10535040 10570440 10608200 10737656 10749600 10922788 10950400 11084032 11107920 11275136 11456856 11690190 11705600 11826432 11848448 11891745 11934225 12079863 12319200 12469536 12496410 12642048 12684528 12729840 12772615 12899520 12945600 12989100 13168800 13213050 13329504 13422070 13578496 13653485 13855040 13884900 14093920 14321070 14332800 14783040 14810560 15275808 15327138 15534720 15586920 15802560 15855660 15912300 16106484 16124400 16384182 16425600 16626048 16661880 16912704 16973120 17199360 17260800 17318800 17558400 17617400 17772672 18478800 18513200 18704304 19026792 19094760 19418400 19483650 19710720 19753200 19819575 19994256 20133105 20367744 20436184 20782560 20827350 21070080 21140880 21216400 21475312 21499200 21845576 22215840 22550272 22913712 22990707 23380380 23783490 23868450 24159726 24576273 24638400 24939072 24992820 25369056 25459680 25545230 25799040 25891200 25978200 26337600 26426100 26659008 26844140 27306970 27710080 27769800 28187840 28642140 28665600 29225475 29566080 29621120 30551616 30654276 31069440 31173840 31241025 31605120 31711320 31824600 32212968 32248800 32768364 32851200 33252096 33323760 33555175 33825408 33946240 34637600 35116800 35234800 35545344 35802675 36239589 36957600 37026400 37408608 38053584 38189520 38317845 38836800 38967300 39506400 39639150 39988512 40266210 40735488 40872368 40960455 41565120 41654700 42281760 42432800 42950624 42998400 43691152 44431680 45827424 45981414 46760760 47566980 47736900 48319452 49152546 49276800 49878144 49985640 50738112 50919360 51090460 51598080 51782400 51956400 52675200 52852200 53318016 53688280 54613940 55420160 55539600 56375680 57284280 58450950 59132160 59242240 59458725 60399315 61103232 61308552 62347680 62482050 63210240 63422640 63649200 63863075 64425936 64497600 65536728 66647520 67110350 67650816 67892480 68267425 68972121 69275200 70469600 71605350 72479178 73728819 73915200 74052800 74817216 76107168 76379040 76635690 77673600 77934600 79012800 79190213 79278300 79977024 80532420 81744736 81920910 83130240 83309400 84563520 84865600 85901248 85996800 87382304 88863360 91654848 91962828 93521520 95133960 95473800 96638904 98305092 98553600 99756288 99971280 100665525 101476224 101838720 102180920 103912800 105350400 105704400 106636032 107376560 109227880 111079200 112751360 114568560 114953535 116901900 118917450 120798630 122206464 122617104 122881365 124695360 124964100 126845280 127298400 127726150 128851872 128995200 131073456 133295040 134220700 136534850 137944242 138550400 140939200 143210700 144958356 147457638 147830400 148105600 149634432 152214336 152758080 153271380 155347200 155869200 158025600 158380426 158556600 159954048 161064840 163489472 163841820 166260480 166618800 169127040 169731200 171802496 174764608 177726720 181197945 183309696 183925656 187043040 190267920 190947600 191589225 193277808 196610184 199942560 201331050 202952448 203677440 204361840 204802275 207825600 211408800 214753120 218455760 222158400 229137120 229907070 233803800 237570639 237834900 241597260 245234208 245762730 249390720 249928200 253690560 254596800 255452300 257703744 257990400 262146912 266590080 268441400 273069700 275888484 277100800 281878400 286421400 289916712 294915276 295660800 296211200 299268864 301996575 304428672 305516160 306542760 311738400 316051200 316760852 317113200 319908096 322129680 326978944 327683640 333237600 338254080 339462400 343604992 344860605 349529216 362395890 366619392 367851312 368644095 374086080 380535840 381895200 383178450 386555616 393220368 395951065 399885120 402662100 408723680 409604550 415651200 422817600 429506240 436911520 444316800 458274240 459814140 467607600 475141278 475669800 483194520 490468416 491525460 498781440 499856400 507381120 509193600 510904600 515407488 524293824 533180160 536882800 546139400 551776968 563756800 572842800 574767675 579833424 589830552 603993150 608857344 611032320 613085520 614406825 623476800 633521704 634226400 644259360 653957888 655367280 666475200 689721210 699058432 712711917 724791780 735702624 737288190 748172160 761071680 763790400 766356900 773111232 786440736 791902130 799770240 805324200 817447360 819209100 831302400 845635200 859012480 873823040 888633600 905989725 916548480 919628280 935215200 950282556 951339600 966389040 980936832 983050920 999712800 1014762240 1018387200 1021809200 1030814976 1048587648 1073765600 1092278800 1103553936 1145685600 1149535350 1159666848 1179661104 1187853195 1207986300 1226171040 1228813650 1246953600 1267043408 1268452800 1288518720 1310734560 1332950400 1379442420 1425423834 1449583560 1471405248 1474576380 1496344320 1522143360 1527580800 1532713800 1546222464 1572881472 1583804260 1599540480 1610648400 1634894720 1638418200 1691270400 1718024960 1724303025 1747646080 1811979450 1833096960 1839256560 1843220475 1870430400 1900565112 1902679200 1932778080 1961873664 1966101840 1979755325 1999425600 2043618400 2097175296 2138135751 2147531200 2184557600 2207107872 2291371200 2299070700 2319333696 2359322208 2375706390 2415972600 2452342080 2457627300 2493907200 2534086816 2536905600 2577037440 2621469120 2665900800 2758884840 2850847668 2899167120 2942810496 2949152760 3044286720 3055161600 3065427600 3092444928 3145762944 3167608520 3221296800 3269789440 3276836400 3448606050 3495292160 3563559585 3623958900 3678513120 3686440950 3740860800 3801130224 3805358400 3865556160 3932203680 3959510650 3998851200 4087236800 4276271502 4295062400 4369115200 4414215744 4582742400 4598141400 4638667392 4718644416 4751412780 4831945200 4904684160 4915254600 5068173632 5073811200 5154074880 5242938240 5517769680 5701695336 5798334240 5885620992 5898305520 5939265975 6130855200 6291525888 6335217040 6442593600 6553672800 6897212100 7127119170 7247917800 7357026240 7372881900 7481721600 7602260448 7610716800 7731112320 7864407360 7919021300 7997702400 8174473600 8552543004 8590124800 8738230400 8828431488 9165484800 9196282800 9277334784 9437288832 9502825560 9663890400 9809368320 9830509200 10136347264 10485876480 10690678755 11035539360 11403390672 11596668480 11796611040 11878531950 12261710400 12670434080 12885187200 13107345600 13794424200 14254238340 14495835600 14714052480 14745763800 15204520896 15221433600 15462224640 15728814720 15838042600 16348947200 17105086008 17476460800 17656862976 17817797925 18392565600 18874577664 19005651120 19327780800 19661018400 20272694528 21381357510 22071078720 22806781344 23193336960 23593222080 23757063900 24523420800 25340868160 25770374400 26214691200 27588848400 28508476680 28991671200 29428104960 29491527600 30409041792 31457629440 31676085200 34210172016 35635595850 36785131200 38011302240 38655561600 39322036800 42762715020 44142157440 45613562688 46386673920 47186444160 47514127800 49046841600 50681736320 52429382400 53453393775 55177696800 57016953360 57983342400 58983055200 60818083584 63352170400 68420344032 71271191700 73570262400 76022604480 77311123200 78644073600 85525430040 88284314880 91227125376 94372888320 95028255600 101363472640 106906787550 110355393600 114033906720 115966684800 117966110400 126704340800 136840688064 142542383400 147140524800 152045208960 157288147200 171050860080 182454250752 190056511200 213813575100 220710787200 228067813440 231933369600 235932220800 253408681600 273681376128 285084766800 304090417920 342101720160 380113022400 427627150200 441421574400 456135626880 471864441600 506817363200 547362752256 570169533600 684203440320 760226044800 855254300400 912271253760 1140339067200 1368406880640 1520452089600 1710508600800 2280678134400 2736813761280 3421017201600 4561356268800 6842034403200 13684068806400
- Sum of all divisors σ(n): 54527510016000
- Sum of proper divisors (its aliquot sum) s(n): 40843441209600
- 13684068806400 is an abundant number, because the sum of its proper divisors (40843441209600) is greater than itself. Its abundance is 27159372403200
Bases of 13684068806400
- Binary: 110001110010000100100000111101101111000000002
- Hexadecimal: 0xC72120F6F00
- Base-36: 4UMDH96O0
Squares and roots of 13684068806400
- 13684068806400 squared (136840688064002) is 187253739098289520680960000
- 13684068806400 cubed (136840688064003) is 2562393050076667693546332422406144000000
-
The
square root of 13684068806400 is 3699198.4005186853 -
The
cube root of 13684068806400 is 23918.7465217883
Scales and comparisons
How big is 13684068806400?- 13,684,068,806,400 seconds is equal to 435,111 years, 3 weeks, 1 day.
-
To count from 1 to 13,684,068,806,400 would take you about one million, eighty-seven thousand, seven hundred seventy-seven 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 13684068806400 cubic inches would be around 1993.2 feet tall.
Recreational maths with 13684068806400
- 13684068806400 backwards is 00460886048631
- 13684068806400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13684068806400's digits is 54
- More coming soon!
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The information we have on file for 13684068806400 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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