13842869855870400

Names of 13842869855870400

• Cardinal: 13842869855870400 can be written as Thirteen quadrillion, eight hundred forty-two trillion, eight hundred sixty-nine billion, eight hundred fifty-five million, eight hundred seventy thousand, four hundred.

Scientific notation

• Scientific notation: 1.38428698558704 × 10¹⁶

Factors of 13842869855870400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 193

Divisors of 13842869855870400

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 41 48 50 58 60 64 75 80 82 87 96 100 113 116 120 123 145 150 160 164 174 192 200 205 226 232 240 246 290 300 320 328 339 348 400 410 435 452 464 480 492 565 580 600 615 656 678 696 725 800 820 870 904 928 960 984 1025 1130 1160 1189 1200 1230 1312 1356 1392 1450 1600 1640 1681 1695 1740 1808 1856 1968 2050 2175 2260 2320 2378 2400 2460 2624 2712 2784 2825 2900 3075 3277 3280 3362 3390 3480 3567 3616 3936 4100 4350 4520 4633 4640 4756 4800 4920 5043 5424 5568 5650 5800 5945 6150 6554 6560 6724 6780 6960 7134 7232 7872 8200 8405 8475 8700 9040 9266 9280 9512 9831 9840 10086 10848 11300 11600 11890 12300 12769 13108 13120 13448 13560 13899 13920 14268 16385 16400 16810 16950 17400 17835 18080 18532 19024 19662 19680 20172 21696 22600 23165 23200 23780 24600 25215 25538 26216 26896 27120 27798 27840 28536 29725 32770 32800 33620 33900 34800 35670 36160 37064 38048 38307 39324 39360 40344 42025 45200 46330 46400 47560 48749 49155 49200 50430 51076 52432 53792 54240 55596 57072 59450 63845 65540 65600 67240 67800 68921 69495 69600 71340 74128 76096 76614 78648 80688 81925 84050 89175 90400 92660 95120 97498 98310 98400 100860 102152 104864 107584 108480 111192 114144 115825 118900 126075 127690 131080 134357 134480 135600 137842 138990 139200 142680 146247 148256 153228 157296 161376 163850 168100 178350 180800 185320 189953 190240 191535 194996 196620 196800 201720 204304 206763 209728 222384 228288 231650 237800 243745 245775 252150 255380 262160 268714 268960 271200 275684 277980 285360 292494 296512 306456 314592 319225 322752 327700 336200 344605 347475 356700 370301 370640 379906 380480 383070 389992 393240 403071 403440 408608 413526 444768 463300 475600 487490 491550 504300 510760 523529 524320 537428 537920 542400 551368 555960 569859 570720 584988 612912 629184 638450 655400 671785 672400 689210 694950 713400 731235 740602 741280 759812 766140 779984 786480 806142 806880 817216 827052 889536 926600 949765 951200 957675 974980 983100 1008600 1021520 1033815 1047058 1048640 1074856 1102736 1110903 1111920 1139718 1141440 1169976 1218725 1225824 1276900 1310800 1343570 1344800 1378420 1389900 1426800 1442897 1462470 1481204 1482560 1519624 1532280 1559968 1570587 1572960 1612284 1613760 1654104 1723025 1851505 1853200 1899530 1902400 1915350 1949960 1966200 1998709 2015355 2017200 2043040 2067630 2094116 2149712 2205472 2221806 2223840 2279436 2339952 2437450 2451648 2553800 2617645 2621600 2687140 2689600 2756840 2779800 2849295 2853600 2885794 2924940 2962408 3039248 3064560 3119936 3141174 3145920 3224568 3308208 3358925 3446050 3656175 3703010 3706400 3799060 3830700 3899920 3932400 3997418 4030710 4034400 4086080 4135260 4188232 4299424 4328691 4410944 4443612 4447680 4558872 4679904 4748825 4874900 5107600 5169075 5235290 5243200 5374280 5508637 5513680 5554515 5559600 5698590 5707200 5771588 5849880 5924816 5996127 6078496 6129120 6282348 6449136 6616416 6717850 6892100 7214485 7312350 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176276384 177476331 177744480 182188092 182354880 186913752 191876064 194701825 199870900 209220065 209411600 214646890 214971200 216434550 220345480 222180600 225854117 227735115 227943600 230863520 233642190 233995200 236635108 239845080 242917456 249218336 251064078 251293920 257576268 264414576 275431850 277036224 288579400 295793885 296240800 299806350 303646820 303924800 311522920 314117400 319793440 321970335 322456800 330518220 330820800 334752104 343435024 346295280 352552768 354952662 355488960 364376184 373827504 379558525 383752128 389403650 399741800 413147775 418440130 418823200 429293780 432869100 440690960 444361200 451708234 455470230 455887200 461727040 467284380 473270216 479690160 485834912 498436672 502128156 502587840 515152536 528829152 536617225 550863700 577158800 584105475 591587770 592481600 599612700 607293640 622475981 623045840 627660195 628234800 639586880 643940670 644913600 661036440 669504208 677562351 686870048 692590560 709905324 728752368 747655008 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3115229200 3138300975 3197934400 3219703350 3305182200 3347521040 3387811755 3431209066 3434350240 3462952800 3520208996 3549526620 3613665872 3643761840 3734855886 3738275040 3786161728 4017025248 4121220288 4184401300 4292937800 4400261245 4406909600 4436908275 4517082340 4554702300 4672843800 4732702160 4796901600 4851019714 4858349120 4979807848 5021281560 5146813599 5151525360 5280313494 5288291520 5420498808 5646352925 5679242592 5915877700 6072936400 6224759810 6230458400 6276601950 6439406700 6610364400 6695042080 6775623510 6862418132 6868700480 6925905600 7040417992 7099053240 7227331744 7276529571 7287523680 7469711772 7476550080 8034050496 8368802600 8578022665 8585875600 8800522490 8813819200 8873816550 9034164680 9109404600 9337139715 9345687600 9465404320 9593803200 9702039428 9959615696 10042563120 10293627198 10303050720 10560626988 10840997616 11292705850 11358485184 11831755400 12127549285 12145872800 12449519620 12460916800 12553203900 12878813400 13200783735 13220728800 13390084160 13551247020 13724836264 14080835984 14198106480 14454663488 14553059142 14575047360 14939423544 15561899525 16737605200 16939058775 17156045330 17171751200 17601044980 17747633100 18068329360 18218809200 18674279430 18691375200 18930808640 19404078856 19919231392 20085126240 20587254396 20606101440 21121253976 21681995232 22001306225 22585411700 23663510800 24255098570 24291745600 24899039240 25106407800 25521515221 25734067995 25757626800 26401567470 26441457600 27102494040 27449672528 28161671968 28396212960 29106118284 29878847088 31123799050 33475210400 33878117550 34312090660 34343502400 35202089960 35495266200 36136658720 36382647855 36437618400 37348558860 37382750400 38808157712 39838462784 40170252480 41174508792 42242507952 42890113325 43363990464 44002612450 45170823400 46685698575 47327021600 48510197140 49798078480 50212815600 51043030442 51468135990 51515253600 52803134940 54204988080 54899345056 56323343936 56792425920 58212236568 59757694176 60637746425 62247598100 66003918675 66950420800 67756235100 68624181320 70339785853 70404179920 70990532400 72273317440 72765295710 72875236800 74697117720 76564545663 77616315424 82349017584 84485015904 85780226650 88005224900 90341646800 93371397150 94654043200 97020394280 99445904137 99596156960 100425631200 102086060884 102936271980 103030507200 105606269880 108409976160 109798690112 116424473136 119515388352 121275492850 124495196200 127607576105 128670339975 132007837350 135512470200 137248362640 140679571706 140808359840 141981064800 145530591420 149394235440 153129091326 155232630848 164698035168 168970031808 171560453300 176010449800 180683293600 181913239275 186742794300 194040788560 198891808274 199192313920 200851262400 204172121768 205872543960 211019357559 211212539760 216819952320 232848946272 242550985700 248990392400 255215152210 257340679950 264015674700 271024940400 274496725280 281359143412 281616719680 283962129600 291061182840 298337712411 298788470880 306258182652 329396070336 343120906600 351698929265 352020899600 361366587200 363826478550 373485588600 382822728315 388081577120 397783616548 408344243536 411745087920 422038715118 422425079520 465697892544 485101971400 497229520685 497980784800 510430304420 514681359900 528031349400 542049880800 548993450560 562718286824 582122365680 596675424822 597576941760 612516365304 638037880525 686241813200 703397858530 704041799200 727652957100 746971177200 765645456630 776163154240 795567233096 816688487072 823490175840 844077430236 844850159040 970203942800 994459041370 995961569600 1020860608840 1029362719800 1055096787795 1056062698800 1084099761600 1125436573648 1164244731360 1193350849644 1225032730608 1276075761050 1372483626400 1406795717060 1408083598400 1455305914200 1491688562055 1493942354400 1531290913260 1591134466192 1633376974144 1646980351680 1688154860472 1758494646325 1914113641575 1940407885600 1988918082740 2041721217680 2058725439600 2110193575590 2112125397600 2250873147296 2328489462720 2386701699288 2450065461216 2486147603425 2552151522100 2744967252800 2813591434120 2883931219973 2910611828400 2983377124110 2987884708800 3062581826520 3182268932384 3376309720944 3516989292650 3828227283150 3880815771200 3977836165480 4083442435360 4117450879200 4220387151180 4224250795200 4501746294592 4773403398576 4900130922432 4972295206850 5104303044200 5275483938975 5627182868240 5767862439946 5821223656800 5966754248220 6125163653040 6364537864768 6752619441888 7033978585300 7458442810275 7656454566300 7955672330960 8166884870720 8234901758400 8440774302360 8651793659919 9546806797152 9944590413700 10208606088400 10550967877950 11254365736480 11535724879892 11642447313600 11933508496440 12250327306080 13505238883776 14067957170600 14419656099865 14916885620550 15312909132600 15911344661920 16881548604720 17303587319838 19093613594304 19889180827400 20417212176800 21101935755900 22508731472960 23071449759784 23867016992880 24500654612160 28135914341200 28839312199730 29833771241100 30625818265200 31822689323840 33763097209440 34607174639676 39778361654800 40834424353600 42203871511800 43258968299595 46142899519568 47734033985760 56271828682400 57678624399460 59667542482200 61251636530400 67526194418880 69214349279352 72098280499325 79556723309600 84407743023600 86517936599190 92285799039136 95468067971520 112543657364800 115357248798920 119335084964400 122503273060800 138428698558704 144196560998650 159113446619200 168815486047200 173035873198380 184571598078272 216294841497975 230714497597840 238670169928800 276857397117408 288393121997300 337630972094400 346071746396760 432589682995950 461428995195680 477340339857600 553714794234816 576786243994600 692143492793520 865179365991900 922857990391360 1153572487989200 1384286985587040 1730358731983800 2307144975978400 2768573971174080 3460717463967600 4614289951956800 6921434927935200 13842869855870400
• Sum of all divisors σ(n): 48586732268860800
• Sum of proper divisors (its aliquot sum) s(n): 34743862412990400
• 13842869855870400 is an abundant number, because the sum of its proper divisors (34743862412990400) is greater than itself. Its abundance is 20900992557120000

Bases of 13842869855870400

• Binary: 110001001011100000010001001100011011100101110111000000₂
• Hexadecimal: 0x312E044C6E5DC0
• Base-36: 3SAVYMBVKQO

Squares and roots of 13842869855870400

• 13842869855870400 squared (13842869855870400²) is 191625045846565388869341596160000
• 13842869855870400 cubed (13842869855870400³) is 2652640570779203416770611829652722682097664000000
• The square root of 13842869855870400 is 117655725.9799556037
• The cube root of 13842869855870400 is 240109.1509059455

Scales and comparisons

• 13,842,869,855,870,400 seconds is equal to 440,160,442 years, 31 weeks, 4 days, 14 hours, 40 minutes.
• To count from 1 to 13,842,869,855,870,400 would take you about one billion, three hundred twenty million, four hundred eighty-one thousand, three hundred twenty-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 13842869855870400 cubic inches would be around 20009.1 feet tall.

Recreational maths with 13842869855870400

• 13842869855870400 backwards is 00407855896824831
• The number of decimal digits it has is: 17
• The sum of 13842869855870400's digits is 78
• More coming soon!