13997818377984672
13,997,818,377,984,672 is an even composite number composed of five prime numbers multiplied together.
What does the number 13997818377984672 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
13997818377984672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 13997818377984672:
25 × 37 × 7 × 116 × 1272
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 11 × 11 × 11 × 11 × 127 × 127)See below for interesting mathematical facts about the number 13997818377984672 from the Numbermatics database.
Names of 13997818377984672
- Cardinal: 13997818377984672 can be written as Thirteen quadrillion, nine hundred ninety-seven trillion, eight hundred eighteen billion, three hundred seventy-seven million, nine hundred eighty-four thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.3997818377984672 × 1016
Factors of 13997818377984672
Divisors of 13997818377984672
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 66 72 77 81 84 88 96 99 108 112 121 126 127 132 144 154 162 168 176 189 198 216 224 231 242 243 252 254 264 288 297 308 324 336 352 363 378 381 396 432 462 484 486 504 508 528 567 594 616 648 672 693 726 729 756 762 792 847 864 889 891 924 968 972 1008 1016 1056 1089 1134 1143 1188 1232 1296 1331 1386 1397 1452 1458 1512 1524 1584 1694 1701 1778 1782 1848 1936 1944 2016 2032 2079 2178 2187 2268 2286 2376 2464 2541 2592 2662 2667 2673 2772 2794 2904 2916 3024 3048 3168 3267 3388 3402 3429 3556 3564 3696 3872 3888 3993 4064 4158 4191 4356 4374 4536 4572 4752 5082 5103 5324 5334 5346 5544 5588 5808 5832 6048 6096 6237 6534 6776 6804 6858 7112 7128 7392 7623 7776 7986 8001 8019 8316 8382 8712 8748 9072 9144 9317 9504 9779 9801 10164 10206 10287 10648 10668 10692 11088 11176 11616 11664 11979 12192 12474 12573 13068 13552 13608 13716 14224 14256 14641 15246 15309 15367 15972 16002 16038 16129 16632 16764 17424 17496 18144 18288 18634 18711 19558 19602 20328 20412 20574 21296 21336 21384 22176 22352 22869 23328 23958 24003 24057 24948 25146 26136 27104 27216 27432 27951 28448 28512 29282 29337 29403 30492 30618 30734 30861 31944 32004 32076 32258 33264 33528 34848 34992 35937 36576 37268 37422 37719 39116 39204 40656 40824 41148 42592 42672 42768 43923 44704 45738 46101 47916 48006 48114 48387 49896 50292 52272 54432 54864 55902 56133 58564 58674 58806 60984 61236 61468 61722 63888 64008 64152 64516 66528 67056 68607 69984 71874 72009 74536 74844 75438 78232 78408 81312 81648 82296 83853 85344 85536 87846 88011 88209 91476 92202 92583 95832 96012 96228 96774 99792 100584 102487 104544 107569 107811 109728 111804 112266 112903 113157 117128 117348 117612 121968 122472 122936 123444 127776 128016 128304 129032 131769 134112 137214 138303 143748 144018 145161 149072 149688 150876 156464 156816 161051 163296 164592 167706 168399 169037 175692 176022 176418 177419 182952 184404 185166 191664 192024 192456 193548 199584 201168 204974 205821 215138 215622 216027 223608 224532 225806 226314 234256 234696 235224 243936 244944 245872 246888 251559 256032 256608 258064 263538 264033 264627 274428 276606 277749 287496 288036 290322 298144 299376 301752 307461 312928 313632 322102 322707 323433 329184 335412 336798 338074 338709 339471 351384 352044 352836 354838 365904 368808 370332 383328 384048 384912 387096 395307 402336 409948 411642 414909 430276 431244 432054 435483 447216 449064 451612 452628 468512 469392 470448 483153 489888 491744 493776 503118 507111 516128 527076 528066 529254 532257 548856 553212 555498 574992 576072 580644 598752 603504 614922 617463 644204 645414 646866 648081 670824 673596 676148 677418 678942 702768 704088 705672 709676 731808 737616 740664 754677 768096 769824 774192 790614 792099 819896 823284 829818 860552 862488 864108 870966 894432 898128 903224 905256 922383 938784 940896 966306 968121 970299 987552 1006236 1014222 1016127 1018413 1054152 1056132 1058508 1064514 1097712 1106424 1110996 1127357 1149984 1152144 1161288 1183259 1185921 1207008 1229844 1234926 1241933 1244727 1288408 1290828 1293732 1296162 1306449 1341648 1347192 1352296 1354836 1357884 1405536 1408176 1411344 1419352 1449459 1475232 1481328 1509354 1521333 1548384 1581228 1584198 1596771 1639792 1646568 1659636 1721104 1724976 1728216 1741932 1771561 1796256 1806448 1810512 1844766 1852389 1859407 1932612 1936242 1940598 1944243 1951609 2012472 2028444 2032254 2036826 2108304 2112264 2117016 2129028 2195424 2212848 2221992 2254714 2264031 2304288 2322576 2366518 2371842 2376297 2459688 2469852 2483866 2489454 2576816 2581656 2587464 2592324 2612898 2683296 2694384 2704592 2709672 2715768 2767149 2816352 2822688 2838704 2898918 2904363 2910897 2962656 3018708 3042666 3048381 3055239 3162456 3168396 3193542 3279584 3293136 3319272 3382071 3442208 3449952 3456432 3483864 3543122 3549777 3557763 3612896 3621024 3689532 3704778 3718814 3725799 3734181 3865224 3872484 3881196 3888486 3903218 3919347 4024944 4056888 4064508 4073652 4216608 4224528 4234032 4258056 4348377 4425696 4443984 4509428 4528062 4563999 4645152 4733036 4743684 4752594 4790313 4919376 4939704 4967732 4978908 5153632 5163312 5174928 5184648 5225796 5314683 5388768 5409184 5419344 5431536 5534298 5578221 5677408 5797836 5808726 5821794 5854827 6037416 6085332 6096762 6110478 6324912 6336792 6387084 6586272 6638544 6764142 6792093 6912864 6967728 7086244 7099554 7115526 7128891 7379064 7409556 7437628 7451598 7468362 7730448 7744968 7762392 7776972 7806436 7838694 8049888 8113776 8129016 8147304 8301447 8449056 8468064 8516112 8696754 8713089 8887968 9018856 9056124 9127998 9145143 9466072 9487368 9505188 9580626 9838752 9879408 9935464 9957816 10146213 10326624 10349856 10369296 10451592 10629366 10649331 10673289 10838688 10863072 11068596 11156442 11177397 11202543 11595672 11617452 11643588 11709654 11758041 12074832 12170664 12193524 12220956 12400927 12649824 12673584 12774168 13015849 13045131 13277088 13528284 13584186 13661263 13691997 13935456 14172488 14199108 14231052 14257782 14370939 14758128 14819112 14875256 14903196 14936724 15460896 15489936 15524784 15553944 15612872 15677388 15944049 16227552 16258032 16294608 16602894 16734663 17032224 17393508 17426178 17564481 18037712 18112248 18255996 18290286 18932144 18974736 19010376 19161252 19758816 19870928 19915632 20292426 20376279 20453477 20738592 20903184 21258732 21298662 21346578 21386673 21467699 22137192 22312884 22354794 22405086 23191344 23234904 23287176 23419308 23516082 24149664 24341328 24387048 24441912 24801854 24904341 25347168 25548336 26031698 26090262 26139267 27056568 27168372 27322526 27383994 27435429 28344976 28398216 28462104 28515564 28741878 29516256 29638224 29750512 29806392 29873448 30438639 30979872 31049568 31107888 31225744 31354776 31888098 31947993 32019867 32516064 32589216 33205788 33469326 33532191 33607629 34787016 34852356 35128962 35274123 36075424 36224496 36511992 36580572 37202781 37864288 37949472 38020752 38322504 39047547 39135393 39741856 39831264 40584852 40752558 40906954 40983789 41075991 41806368 42517464 42597324 42693156 42773346 42935398 43112817 44274384 44625768 44709588 44810172 46382688 46469808 46574352 46838616 47032164 47832147 48682656 48774096 48883824 49603708 49808682 50203989 51096672 52063396 52180524 52278534 52693443 54113136 54336744 54645052 54767988 54870858 56689952 56796432 56924208 57031128 57483756 59276448 59501024 59612784 59746896 60877278 61360431 62215776 62451488 62709552 63776196 63895986 64039734 64403097 66411576 66938652 67064382 67215258 69574032 69704712 70257924 70548246 72448992 73023984 73161144 74405562 74713023 76041504 76645008 78095094 78270786 78417801 81169704 81505116 81813908 81967578 82151982 82306287 85034928 85194648 85386312 85546692 85870796 86225634 88548768 89251536 89419176 89620344 91315917 92939616 93148704 93677232 94064328 95664294 95843979 97548192 97767648 99207416 99617364 100407978 100596573 104126792 104361048 104557068 105386886 108226272 108673488 109290104 109535976 109741716 111608343 113592864 113848416 114062256 114967512 117142641 117406179 119225568 119493792 121754556 122720862 122951367 123227973 125419104 127552392 127791972 128079468 128806194 129338451 132823152 133877304 134128764 134430516 139148064 139409424 140515848 141096492 143174339 143496441 146047968 146322288 148811124 149426046 150273893 150611967 153290016 156190188 156541572 156835602 158080329 162339408 163010232 163627816 163935156 164303964 164612574 170069856 170389296 170772624 171093384 171741592 172451268 178503072 178838352 179240688 182631834 184081293 187354464 188128656 191328588 191687958 193209291 198414832 199234728 200815956 201193146 208253584 208722096 209114136 210773772 217346976 218580208 219071952 219483432 223216686 224139069 224988247 228124512 229935024 234285282 234812358 235253403 236144689 243509112 245441724 245902734 246455946 246918861 255104784 255583944 256158936 257612388 258676902 265646304 267754608 268257528 268861032 273947751 278818848 281031696 282192984 286348678 286992882 287531937 292644576 297622248 298852092 300547786 301223934 301789719 312380376 313083144 313671204 316160658 324678816 326020464 327255632 327870312 328607928 329225148 334825029 340778592 341545248 342186768 343483184 344902536 351427923 352218537 357676704 358481376 365263668 368162586 368854101 369683919 376257312 382657176 383375916 386418582 388015353 396829664 398469456 401631912 402386292 416507168 417444192 418228272 421547544 429523017 430489323 437160416 438143904 438966864 446433372 448278138 449976494 450821679 451835901 459870048 468570564 469624716 470506806 472289378 474240987 487018224 490883448 491805468 492911892 493837722 510209568 511167888 512317872 515224776 517353804 535509216 536515056 537722064 547895502 552243879 562063392 564385968 572697356 573985764 575063874 579627873 595244496 597704184 601095572 602447868 603579438 624760752 626166288 627342408 632321316 652040928 654511264 655740624 657215856 658450296 669650058 674964741 684373536 686966368 689805072 702855846 704437074 708434067 730527336 736325172 737708202 739367838 765314352 766751832 772837164 776030706 796938912 803263824 804772584 821843253 836456544 843095088 859046034 860978646 862595811 877933728 892866744 896556276 899952988 901643358 903671802 905369157 937141128 939249432 941013612 944578756 948481974 974036448 981766896 983610936 985823784 987675444 1004475087 1022335776 1024635744 1030449552 1034707608 1054283769 1073030112 1075444128 1095791004 1104487758 1106562303 1128771936 1145394712 1147971528 1150127748 1159255746 1190488992 1195408368 1202191144 1204895736 1207158876 1249521504 1252332576 1254684816 1264642632 1288569051 1291467969 1311481248 1314431712 1316900592 1339300116 1349929482 1352465037 1355507703 1379610144 1405711692 1408874148 1416868134 1422722961 1461054672 1472650344 1475416404 1478735676 1530628704 1533503664 1545674328 1552061412 1574917729 1606527648 1609545168 1643686506 1653012823 1656731637 1686190176 1718092068 1721957292 1725191622 1738883619 1785733488 1793112552 1799905976 1803286716 1807343604 1810738314 1874282256 1878498864 1882027224 1889157512 1896963948 1963533792 1967221872 1971647568 1975350888 2008950174 2024894223 2060899104 2069415216 2108567538 2125302201 2191582008 2208975516 2213124606 2290789424 2295943056 2300255496 2318511492 2390816736 2404382288 2409791472 2414317752 2465529759 2509369632 2529285264 2577138102 2582935938 2587787433 2597591579 2633801184 2678600232 2699858964 2704930074 2711015406 2716107471 2811423384 2817748296 2833736268 2845445922 2922109344 2945300688 2950832808 2957471352 3013425261 3067007328 3091348656 3104122824 3149835458 3162851307 3219090336 3287373012 3306025646 3313463274 3319686909 3436184136 3443914584 3450383244 3477767238 3571466976 3586225104 3599811952 3606573432 3614687208 3621476628 3748564512 3756997728 3764054448 3778315024 3793927896 3865707153 3874403907 3934443744 3943295136 3950701776 4017900348 4049788446 4057395111 4066523109 4138830432 4217135076 4250604402 4268168883 4383164016 4417951032 4426249212 4581578848 4591886112 4600510992 4637022984 4724753187 4808764576 4819582944 4828635504 4931059518 4959038469 4970194911 5058570528 5154276204 5165871876 5175574866 5195183158 5216650857 5357200464 5399717928 5409860148 5422030812 5432214942 5622846768 5635496592 5667472536 5690891844 5890601376 5901665616 5914942704 6026850522 6074682669 6182697312 6208245648 6299670916 6325702614 6375906603 6574746024 6612051292 6626926548 6639373818 6872368272 6887829168 6900766488 6955534476 7172450208 7199623904 7213146864 7229374416 7242953256 7528108896 7556630048 7587855792 7731414306 7748807814 7792774737 7901403552 8035800696 8099576892 8114790222 8133046218 8434270152 8501208804 8536337766 8766328032 8835902064 8852498424 9040275783 9201021984 9274045968 9449506374 9488553921 9657271008 9862119036 9918076938 9940389822 9959060727 10308552408 10331743752 10351149732 10390366316 10433301714 10714400928 10799435856 10819720296 10844061624 10864429884 11245693536 11270993184 11334945072 11381783688 11597121459 11803331232 11829885408 12053701044 12149365338 12172185333 12416491296 12599341832 12651405228 12751813206 13149492048 13224102584 13253853096 13278747636 13744736544 13775658336 13801532976 13911068952 14174259561 14426293728 14458748832 14485906512 14877115407 14910584733 15175711584 15462828612 15497615628 15585549474 15649952571 16071601392 16199153784 16229580444 16266092436 16868540304 17002417608 17072675532 17671804128 17704996848 18080551566 18183141053 18224048007 18548091936 18899012748 18977107842 19127719809 19724238072 19836153876 19880779644 19918121454 20617104816 20663487504 20702299464 20780732632 20866603428 21598871712 21639440592 21688123248 21728859768 22669890144 22763567376 23194242918 23378324211 24107402088 24298730676 24344370666 25198683664 25302810456 25503626412 26298984096 26448205168 26507706192 26557495272 27120827349 27603065952 27822137904 28348519122 28465661763 28573507369 28971813024 29754230814 29821169466 29877182181 30925657224 30995231256 31171098948 31299905142 32143202784 32398307568 32459160888 32532184872 33737080608 34004835216 34145351064 34791364377 35409993696 36161103132 36366282106 36448096014 36516555999 37798025496 37954215684 38255439618 39448476144 39672307752 39761559288 39836242908 41234209632 41326975008 41404598928 41561465264 41733206856 42522778683 43278881184 43376246496 43457719536 44631346221 44731754199 45527134752 46388485836 46756648422 46949857713 48214804176 48597461352 48688741332 50397367328 50605620912 51007252824 52896410336 53015412384 53114990544 54241654698 54549423159 54672144021 55644275808 56697038244 56931323526 57147014738 57383159427 59508461628 59642338932 59754364362 61851314448 61990462512 62342197896 62599810284 64796615136 64918321776 65064369744 68009670432 68290702128 69582728754 70134972633 72322206264 72732564212 72896192028 73033111998 75596050992 75908431368 76510879236 78896952288 79344615504 79523118576 79672485816 82809197856 83122930528 83466413712 85045557366 85720522107 86915439072 89262692442 89463508398 92776971672 93513296844 93899715426 96429608352 97194922704 97377482664 101211241824 102014505648 104374093131 106229981088 108483309396 109098846318 109344288042 109549667997 113394076488 113862647052 114294029476 114766318854 119016923256 119284677864 119508728724 123702628896 123980925024 124684395792 125199620568 127568336049 129836643552 130128739488 133894038663 136581404256 139165457508 140269945266 144644412528 145465128424 145792384056 146066223996 151192101984 151816862736 153021758472 158689231008 159046237152 159344971632 163648269477 164016432063 166932827424 170091114732 171441044214 172149478281 178525384884 178927016796 185553943344 187026593688 187799430852 194389845408 194754965328 200014551583 204029011296 208748186262 210404917899 216966618792 218197692636 218688576084 219099335994 226788152976 227725294104 228588058952 229532637708 238033846512 238569355728 239017457448 249368791584 250399241136 255136672098 257161566321 267788077326 278330915016 280539890532 289288825056 290930256848 291584768112 292132447992 303633725472 306043516944 313122279393 318689943264 327296538954 328032864126 328649003991 340182229464 342882088428 344298956562 357050769768 357854033592 371107886688 374053187376 375598861704 382705008147 389509930656 400029103166 401682115989 417496372524 420809835798 433933237584 436395385272 437377152168 438198671988 453576305952 455450588208 457176117904 459065275416 476067693024 477138711456 478034914896 490944808431 492049296189 500798482272 510273344196 514323132642 516448434843 535576154652 556661830032 561079781064 581860513696 583169536224 584264895984 600043654749 612087033888 626244558786 631214753697 654593077908 656065728252 657298007982 680364458928 685764176856 688597913124 714101539536 715708067184 748106374752 751197723408 765410016294 771484698963 800058206332 803364231978 834992745048 841619671596 867866475168 872790770544 874754304336 876397343976 910901176416 914352235808 918130550832 956069829792 981889616862 984098592378 1020546688392 1028646265284 1032896869686 1071152309304 1113323660064 1122159562128 1148115024441 1168529791968 1200087309498 1205046347967 1252489117572 1262429507394 1309186155816 1312131456504 1314596015964 1360728917856 1371528353712 1377195826248 1428203079072 1431416134368 1472834425293 1502395446816 1530820032588 1542969397926 1600116412664 1606728463956 1669985490096 1683239343192 1745581541088 1749508608672 1752794687952 1800130964247 1836261101664 1893644261091 1963779233724 1968197184756 2041093376784 2057292530568 2065793739372 2142304618608 2244319124256 2296230048882 2314454096889 2400174618996 2410092695934 2504978235144 2524859014788 2618372311632 2624262913008 2629192031928 2743056707424 2754391652496 2945668850586 3061640065176 3085938795852 3200232825328 3213456927912 3339970980192 3366478686384 3444345073323 3505589375904 3600261928494 3615139043901 3787288522182 3927558467448 3936394369512 4082186753568 4114585061136 4131587478744 4284609237216 4418503275879 4592460097764 4628908193778 4800349237992 4820185391868 5009956470288 5049718029576 5236744623264 5248525826016 5258384063856 5400392892741 5508783304992 5680932783273 5891337701172 6123280130352 6171877591704 6400465650656 6426913855824 6732957372768 6888690146646 6943362290667 7200523856988 7230278087802 7574577044364 7855116934896 7872788739024 8229170122272 8263174957488 8837006551758 9184920195528 9257816387556 9600698475984 9640370783736 10019912940576 10099436059152 10516768127712 10800785785482 11361865566546 11782675402344 12246560260704 12343755183408 12853827711648 13255509827637 13777380293292 13886724581334 14401047713976 14460556175604 15149154088728 15710233869792 15745577478048 16201178678223 16526349914976 17674013103516 18369840391056 18515632775112 19201396951968 19280741567472 20198872118304 20830086872001 21601571570964 22723731133092 23565350804688 24687510366816 26511019655274 27554760586584 27773449162668 28802095427952 28921112351208 30298308177456 32402357356446 35348026207032 36739680782112 37031265550224 38561483134944 39766529482911 41660173744002 43203143141928 45447462266184 47130701609376 48603536034669 53022039310548 55109521173168 55546898325336 57604190855904 57842224702416 60596616354912 62490260616003 64804714712892 70696052414064 74062531100448 79533058965822 83320347488004 86406286283856 90894924532368 97207072069338 106044078621096 110219042346336 111093796650672 115684449404832 124980521232006 129609429425784 141392104828128 145810608104007 159066117931644 166640694976008 172812572567712 181789849064736 194414144138676 212088157242192 222187593301344 249961042464012 259218858851568 291621216208014 318132235863288 333281389952016 388828288277352 424176314484384 437431824312021 499922084928024 518437717703136 583242432416028 636264471726576 666562779904032 777656576554704 874863648624042 999844169856048 1166484864832056 1272528943453152 1555313153109408 1749727297248084 1999688339712096 2332969729664112 3499454594496168 4665939459328224 6998909188992336 13997818377984672
- Sum of all divisors σ(n): 52371324755729280
- Sum of proper divisors (its aliquot sum) s(n): 38373506377744608
- 13997818377984672 is an abundant number, because the sum of its proper divisors (38373506377744608) is greater than itself. Its abundance is 24375687999759936
Bases of 13997818377984672
- Binary: 1100011011101011110001000100000000110011011010101000002
- Hexadecimal: 0x31BAF1100CDAA0
- Base-36: 3TTT8ZLAI00
Squares and roots of 13997818377984672
- 13997818377984672 squared (139978183779846722) is 195938919343045433763804266947584
- 13997818377984672 cubed (139978183779846723) is 2742717406142537707472270878664977686094979432448
-
The
square root of 13997818377984672 is 118312376.2671711027 -
The
cube root of 13997818377984672 is 241001.7066733171
Scales and comparisons
How big is 13997818377984672?- 13,997,818,377,984,672 seconds is equal to 445,087,326 years, 16 weeks, 6 days, 5 hours, 31 minutes, 12 seconds.
-
To count from 1 to 13,997,818,377,984,672 would take you about one billion, three hundred thirty-five million, two hundred sixty-one thousand, nine hundred seventy-eight 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 13997818377984672 cubic inches would be around 20083.5 feet tall.
Recreational maths with 13997818377984672
- 13997818377984672 backwards is 27648977381879931
- 13997818377984672 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13997818377984672's digits is 99
- 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 13997818377984672 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 13997818377984672 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/13997818377984672/
Chicago style:
Numbermatics. 2024. "Number 13997818377984672 - Facts about the integer". https://numbermatics.com/n/13997818377984672/
The information we have on file for 13997818377984672 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 13997818377984672, math, Factors of 13997818377984672, curriculum, school, college, exams, university, Prime factorization of 13997818377984672, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred ninety-seven trillion, eight hundred eighteen billion, three hundred seventy-seven million, nine hundred eighty-four thousand, six hundred seventy-two.