13996946311936128

Names of 13996946311936128

• Cardinal: 13996946311936128 can be written as Thirteen quadrillion, nine hundred ninety-six trillion, nine hundred forty-six billion, three hundred eleven million, nine hundred thirty-six thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.3996946311936128 × 10¹⁶

Factors of 13996946311936128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 744

Divisors of 13996946311936128

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 61 64 72 74 96 111 122 128 144 148 183 192 222 244 288 296 333 366 384 444 488 549 576 592 641 666 732 888 976 1098 1152 1184 1282 1332 1369 1464 1776 1923 1952 2196 2257 2368 2564 2664 2738 2928 3552 3721 3846 3904 4107 4392 4514 4736 5128 5328 5476 5769 5856 6771 7104 7442 7692 7808 8214 8784 9028 10256 10656 10952 11163 11538 11712 12321 13542 14208 14884 15384 16428 17568 18056 20313 20512 21312 21904 22326 23076 23424 23717 24642 27084 29768 30768 32856 33489 35136 36112 39101 40626 41024 42624 43808 44652 46152 47434 49284 54168 59536 61536 65712 66978 70272 71151 72224 78202 81252 82048 83509 87616 89304 92304 94868 98568 108336 117303 119072 123072 131424 133956 137677 142302 144448 156404 162504 167018 175232 178608 184608 189736 197136 213453 216672 226981 234606 238144 246144 250527 262848 267912 275354 284604 288896 312808 325008 334036 351909 357216 369216 379472 394272 413031 426906 433344 453962 469212 476288 501054 525696 535824 550708 569208 625616 650016 668072 680943 703818 714432 738432 751581 758944 788544 826062 853812 866688 877529 907924 938424 1002108 1071648 1101416 1138416 1239093 1251232 1300032 1336144 1361886 1407636 1428864 1446737 1503162 1517888 1577088 1652124 1707624 1755058 1815848 1876848 2004216 2042829 2143296 2202832 2276832 2385161 2478186 2502464 2600064 2632587 2672288 2723772 2815272 2893474 3006324 3035776 3304248 3415248 3510116 3631696 3753696 4008432 4085658 4286592 4340211 4405664 4553664 4770322 4956372 5004928 5094049 5265174 5344576 5447544 5630544 5786948 6012648 6608496 6830496 7020232 7155483 7263392 7507392 7897761 8016864 8171316 8398297 8680422 8811328 9107328 9540644 9912744 10188098 10530348 10689152 10895088 11261088 11573896 12025296 13020633 13216992 13660992 13845841 14040464 14310966 14526784 15014784 15282147 15795522 16033728 16342632 16796594 17360844 17622656 19081288 19825488 20376196 21060696 21466449 21790176 22522176 23147792 24050592 25194891 26041266 26433984 27321984 27691682 28080928 28621932 29053568 30564294 31591044 32067456 32685264 33593188 34721688 38162576 39650976 40752392 41537523 42121392 42932898 43580352 45044352 45846441 46295584 48101184 50389782 52082532 52867968 53529269 55383364 56161856 57243864 61128588 63182088 65370528 67186376 69443376 75584673 76325152 79301952 81504784 83075046 84242784 85865796 87160704 88250957 91692882 92591168 96202368 100779564 104165064 107058538 110766728 112323712 114487728 122257176 124612569 126364176 130741056 134372752 138886752 145494821 151169346 152650304 158603904 160587807 163009568 166150092 168485568 171731592 176501914 183385764 185182336 201559128 208330128 214117076 221533456 228975456 244514352 249225138 252728352 261482112 264752871 268745504 277773504 290989642 302338692 305300608 310736989 321175614 326019136 332300184 336971136 343463184 353003828 366771528 403118256 416660256 428234152 436484463 443066912 457950912 481763421 489028704 498450276 505456704 512296117 529505742 537491008 555547008 581979284 604677384 621473978 642351228 652038272 664600368 686926368 706007656 733543056 794258613 806236512 833320512 856468304 872968926 886133824 915901824 932210967 963526842 978057408 996900552 1010913408 1024592234 1059011484 1074982016 1163958568 1209354768 1242947956 1284702456 1309453389 1329200736 1373852736 1412015312 1467086112 1536888351 1588517226 1612473024 1666641024 1712936608 1745937852 1772267648 1864421934 1927053684 1956114816 1993801104 2049184468 2118022968 2327917136 2418709536 2485895912 2569404912 2618906778 2658401472 2747705472 2796632901 2824030624 2934172224 3073776702 3177034452 3224946048 3265285409 3425873216 3491875704 3728843868 3854107368 3987602208 4098368936 4236045936 4610665053 4655834272 4837419072 4971791824 5138809824 5237813556 5316802944 5383308377 5593265802 5648061248 5868344448 6147553404 6354068904 6530570818 6851746432 6983751408 7457687736 7708214736 7975204416 8196737872 8472091872 8875184081 9221330106 9311668544 9674838144 9795856227 9943583648 10277619648 10475627112 10766616754 11186531604 11296122496 12295106808 12708137808 13061141636 13967502816 14915375472 15416429472 15950408832 16149925131 16393475744 16944183744 17750368162 18442660212 18623337088 18954956329 19591712454 19887167296 20555239296 20951254224 21533233508 22373063208 24590213616 25416275616 26122283272 26625552243 27935005632 29387568681 29830750944 30832858944 32299850262 32786951488 33888367488 35500736324 36885320424 37909912658 39183424908 39774334592 41902508448 43066467016 44746126416 48449775393 49180427232 50832551232 52244566544 53251104486 55870011264 56864868987 58775137362 59661501888 61665717888 64599700524 65573902976 71001472648 73770640848 75819825316 78366849816 79876656729 83805016896 86132934032 89492252832 96899550786 98360854464 101665102464 104489133088 106502208972 113729737974 117550274724 119323003776 129199401048 142002945296 147541281696 151639650632 156733699632 159753313458 167610033792 170594606961 172265868064 178984505664 193799101572 196721708928 199182409949 208978266176 213004417944 227459475948 235100549448 258398802096 284005890592 295082563392 303279301264 313467399264 319506626916 328381810997 341189213922 344531736128 357969011328 387598203144 398364819898 417956532352 426008835888 454918951896 470201098896 516797604192 568011781184 590165126784 597547229847 606558602528 626934798528 639013253832 656763621994 682378427844 689063472256 775196406288 796729639796 852017671776 909837903792 940402197792 985145432991 1033595208384 1136023562368 1195094459694 1213117205056 1253869597056 1278026507664 1313527243988 1364756855688 1550392812576 1593459279592 1704035343552 1792641689541 1819675807584 1880804395584 1970290865982 2067190416768 2390188919388 2426234410112 2556053015328 2627054487976 2729513711376 2955436298973 3100785625152 3186918559184 3408070687104 3585283379082 3639351615168 3761608791168 3940581731964 4780377838776 5112106030656 5254108975952 5459027422752 5910872597946 6201571250304 6373837118368 7170566758164 7278703230336 7881163463928 9560755677552 10224212061312 10508217951904 10918054845504 11821745195892 12150127006889 12747674236736 14341133516328 15762326927856 19121511355104 21016435903808 21836109691008 23643490391784 24300254013778 25495348473472 28682267032656 31524653855712 36450381020667 38243022710208 42032871807616 47286980783568 48600508027556 57364534065312 63049307711424 72900762041334 76486045420416 94573961567136 97201016055112 109351143062001 114729068130624 126098615422848 145801524082668 189147923134272 194402032110224 218702286124002 229458136261248 291603048165336 378295846268544 388804064220448 437404572248004 583206096330672 777608128440896 874809144496008 1166412192661344 1555216256881792 1749618288992016 2332824385322688 3499236577984032 4665648770645376 6998473155968064 13996946311936128
• Sum of all divisors σ(n): 42151262054224050
• Sum of proper divisors (its aliquot sum) s(n): 28154315742287922
• 13996946311936128 is an abundant number, because the sum of its proper divisors (28154315742287922) is greater than itself. Its abundance is 14157369430351794

Bases of 13996946311936128

• Binary: 110001101110100010011000000100110111001111100010000000₂
• Hexadecimal: 0x31BA2604DCF880
• Base-36: 3TTI4D7OKG0

Squares and roots of 13996946311936128

• 13996946311936128 squared (13996946311936128²) is 195914506059222375434323951632384
• 13996946311936128 cubed (13996946311936128³) is 2742204823040420830092325381450422469129144369152
• The square root of 13996946311936128 is 118308690.7709494011
• The cube root of 13996946311936128 is 240996.7017560021

Scales and comparisons

• 13,996,946,311,936,128 seconds is equal to 445,059,597 years, 16 weeks, 5 days, 4 hours, 28 minutes, 48 seconds.
• To count from 1 to 13,996,946,311,936,128 would take you about one billion, three hundred thirty-five million, one hundred seventy-eight thousand, seven hundred ninety-one 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 13996946311936128 cubic inches would be around 20083.1 feet tall.

Recreational maths with 13996946311936128

• 13996946311936128 backwards is 82163911364969931
• The number of decimal digits it has is: 17
• The sum of 13996946311936128's digits is 81
• More coming soon!