13963875689824256

Names of 13963875689824256

• Cardinal: 13963875689824256 can be written as Thirteen quadrillion, nine hundred sixty-three trillion, eight hundred seventy-five billion, six hundred eighty-nine million, eight hundred twenty-four thousand, two hundred fifty-six.

Scientific notation

• Scientific notation: 1.3963875689824256 × 10¹⁶

Factors of 13963875689824256

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 222

Divisors of 13963875689824256

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 32 38 43 56 64 76 86 112 128 133 151 152 172 224 256 266 301 302 304 344 361 448 512 532 602 604 608 688 722 817 896 1024 1057 1064 1204 1208 1216 1376 1444 1634 1792 1849 2048 2114 2128 2408 2416 2432 2527 2752 2869 2888 3268 3584 3698 4096 4228 4256 4816 4832 4864 5054 5504 5719 5738 5776 6493 6536 7168 7396 8192 8456 8512 9632 9664 9728 10108 11008 11438 11476 11552 12943 12986 13072 14336 14792 15523 16384 16912 17024 19264 19328 19456 20083 20216 22016 22801 22876 22952 23104 25886 25972 26144 28672 29584 31046 32768 33824 34048 35131 38528 38656 38912 40166 40432 44032 45451 45602 45752 45904 46208 51772 51944 52288 54511 57344 59168 62092 65536 67648 68096 70262 77056 77312 77824 80332 80864 88064 90902 91204 91504 91808 92416 103544 103888 104576 108661 109022 114688 118336 123367 124184 131072 135296 136192 140524 154112 154624 155648 159607 160664 161728 176128 181804 182408 183008 183616 184832 207088 207776 209152 217322 218044 229376 236672 245917 246734 248368 270592 272384 279199 281048 308224 309248 311296 319214 321328 323456 352256 363608 364816 366016 367232 369664 381577 414176 415552 418304 433219 434644 436088 458752 473344 491834 493468 496736 541184 544768 558398 562096 616448 618496 622592 638428 642656 646912 667489 704512 727216 729632 732032 734464 739328 763154 828352 831104 836608 863569 866438 869288 872176 917504 946688 980443 983668 986936 993472 1082368 1089536 1116796 1124192 1232896 1236992 1245184 1276856 1285312 1293824 1334978 1409024 1454432 1459264 1464064 1468928 1478656 1526308 1656704 1662208 1673216 1727138 1732876 1738576 1744352 1893376 1954393 1960886 1967336 1973872 1986944 2164736 2179072 2233592 2248384 2343973 2465792 2473984 2490368 2553712 2570624 2587648 2669956 2818048 2908864 2918528 2928128 2937856 2957312 3032533 3052616 3313408 3324416 3346432 3454276 3465752 3477152 3488704 3786752 3908786 3921772 3934672 3947744 3973888 4329472 4358144 4467184 4496768 4672423 4687946 4931584 4947968 5107424 5141248 5175296 5304781 5339912 5636096 5817728 5837056 5856256 5875712 5914624 6065066 6105232 6626816 6648832 6692864 6863101 6908552 6931504 6954304 6977408 7573504 7817572 7843544 7869344 7895488 7947776 8231161 8658944 8716288 8934368 8993536 9344846 9375892 9863168 9895936 10214848 10282496 10350592 10609562 10679824 11635456 11674112 11712512 11751424 11829248 12130132 12210464 13253632 13297664 13385728 13726202 13817104 13863008 13908608 13954816 15147008 15635144 15687088 15738688 15790976 15895552 16407811 16462322 17317888 17432576 17868736 17987072 18628417 18689692 18751784 19726336 19791872 20429696 20564992 20701184 21219124 21359648 23270912 23348224 23425024 23502848 23658496 24260264 24420928 26507264 26595328 26771456 27452404 27634208 27726016 27817216 27909632 30294016 31270288 31374176 31477376 31581952 31791104 32815622 32924644 34635776 35737472 35974144 37133467 37256834 37379384 37503568 39452672 40859392 41129984 41402368 42159049 42438248 42719296 46541824 46696448 46850048 47005696 47316992 48520528 48841856 53014528 53190656 53542912 54904808 55268416 55452032 55634432 55819264 57618127 60588032 62540576 62748352 62954752 63163904 63582208 65631244 65849288 69271552 71474944 71948288 74266934 74513668 74758768 75007136 81718784 82259968 82804736 84318098 84876496 85438592 93083648 93392896 93700096 94011392 97041056 97683712 100790839 106029056 106381312 107085824 109809616 110536832 110904064 111268864 111638528 115236254 121176064 125081152 125496704 125909504 126327808 127164416 130398919 131262488 131698576 138543104 142949888 143896576 148533868 149027336 149517536 150014272 163437568 164519936 165609472 168636196 169752992 170877184 186167296 186785792 187400192 188022784 194082112 195367424 201581678 212058112 212762624 219619232 221073664 221808128 222537728 223277056 230472508 242352128 250162304 250993408 251819008 252655616 254328832 260797838 262524976 263397152 285899776 287793152 295113343 297067736 298054672 299035072 300028544 326875136 329039872 331218944 337272392 339505984 341754368 353939923 372334592 373571584 374800384 376045568 388164224 390734848 403163356 424116224 425525248 439238464 442147328 443616256 445075456 446554112 460945016 500324608 501986816 503638016 505311232 508657664 521595676 525049952 526794304 571799552 575586304 590226686 594135472 596109344 598070144 600057088 653750272 658079744 674544784 679011968 683508736 705535873 707879846 744669184 747143168 749600768 776328448 781469696 801021931 806326712 848232448 851050496 878476928 884294656 887232512 890150912 893108224 921890032 1000649216 1003973632 1007276032 1010622464 1017315328 1043191352 1050099904 1053588608 1143599104 1151172608 1180453372 1188270944 1192218688 1196140288 1200114176 1307500544 1316159488 1349089568 1358023936 1367017472 1411071746 1415759692 1489338368 1494286336 1552656896 1562939392 1602043862 1612653424 1696464896 1756953856 1768589312 1774465024 1780301824 1786216448 1843780064 2001298432 2007947264 2014552064 2021244928 2034630656 2086382704 2100199808 2107177216 2287198208 2302345216 2360906744 2376541888 2384437376 2392280576 2400228352 2477579461 2615001088 2632318976 2698179136 2716047872 2734034944 2822143492 2831519384 2978676736 2988572672 3105313792 3125878784 3204087724 3225306848 3513907712 3537178624 3548930048 3560603648 3572432896 3687560128 4002596864 4015894528 4029104128 4042489856 4172765408 4200399616 4214354432 4574396416 4604690432 4721813488 4753083776 4768874752 4784561152 4800456704 4955158922 5230002176 5396358272 5432095744 5468069888 5607153517 5644286984 5663038768 5957353472 6210627584 6251757568 6408175448 6450613696 7027815424 7074357248 7097860096 7121207296 7144865792 7375120256 8005193728 8031789056 8058208256 8084979712 8345530816 8400799232 8428708864 9148792832 9443626976 9506167552 9537749504 9569122304 9600913408 9910317844 10460004352 10792716544 10864191488 10936139776 11214307034 11288573968 11326077536 12421255168 12503515136 12816350896 12901227392 14055630848 14148714496 14195720192 14242414592 14750240512 15219416689 16010387456 16063578112 16116416512 16169959424 16691061632 16801598464 16857417728 18297585664 18887253952 19012335104 19075499008 19138244608 19201826816 19820635688 20920008704 21585433088 21728382976 21872279552 22428614068 22577147936 22652155072 24842510336 25007030272 25632701792 25802454784 28111261696 28297428992 28391440384 29500481024 30438833378 32020774912 32127156224 32232833024 33382123264 33603196928 33714835456 36595171328 37774507904 38024670208 38150998016 38276489216 38403653632 39641271376 43170866176 43456765952 43744559104 44857228136 45154295872 45304310144 49685020672 50014060544 51265403584 51604909568 56222523392 56594857984 56782880768 59000962048 60877666756 64041549824 64254312448 66764246528 67206393856 67429670912 75549015808 76049340416 76301996032 76552978432 76807307264 79282542752 86341732352 86913531904 87489118208 89714456272 90308591744 90608620288 99370041344 102530807168 103209819136 106535916823 112445046784 113189715968 118001924096 121755333512 128083099648 128508624896 133528493056 134412787712 134859341824 151098031616 152098680832 152603992064 153105956864 153614614528 158565085504 172683464704 173827063808 179428912544 180617183488 181217240576 198740082688 205061614336 206419638272 213071833646 224890093568 236003848192 243510667024 256166199296 267056986112 268825575424 269718683648 302196063232 304197361664 305207984128 306211913728 307229229056 317130171008 345366929408 347654127616 358857825088 361234366976 362434481152 397480165376 410123228672 412839276544 426143667292 449780187136 472007696384 487021334048 534113972224 537651150848 539437367296 604392126464 608394723328 610415968256 612423827456 634260342016 690733858816 695308255232 717715650176 722468733952 724868962304 820246457344 825678553088 852287334584 899560374272 944015392768 974042668096 1068227944448 1075302301696 1078874734592 1208784252928 1216789446656 1220831936512 1268520684032 1381467717632 1435431300352 1444937467904 1449737924608 1640492914688 1651357106176 1704574669168 1888030785536 1948085336192 2136455888896 2150604603392 2417568505856 2433578893312 2441663873024 2537041368064 2762935435264 2870862600704 2889874935808 2899475849216 3280985829376 3302714212352 3409149338336 3776061571072 3896170672384 4272911777792 4835137011712 4867157786624 5074082736128 5525870870528 5741725201408 5779749871616 5798951698432 6561971658752 6605428424704 6818298676672 7552123142144 7792341344768 8545823555584 9670274023424 10148165472256 11483450402816 11559499743232 11597903396864 13123943317504 13210856849408 13636597353344 15584682689536 17091647111168 19340548046848 20296330944512 22966900805632 23118999486464 23195806793728 26247886635008 27273194706688 31169365379072 38681096093696 40592661889024 45933801611264 46237998972928 46391613587456 52495773270016 54546389413376 62338730758144 81185323778048 91867603222528 92475997945856 104991546540032 109092778826752 124677461516288 162370647556096 183735206445056 218185557653504 249354923032576 324741295112192 367470412890112 436371115307008 498709846065152 734940825780224 872742230614016 997419692130304 1745484461228032 1994839384260608 3490968922456064 6981937844912128 13963875689824256
• Sum of all divisors σ(n): 34717088662144056
• Sum of proper divisors (its aliquot sum) s(n): 20753212972319800
• 13963875689824256 is an abundant number, because the sum of its proper divisors (20753212972319800) is greater than itself. Its abundance is 6789337282495544

Bases of 13963875689824256

• Binary: 110001100111000001001000101010001011100000000000000000₂
• Hexadecimal: 0x319C122A2E0000
• Base-36: 3THS3XL4V7K

Squares and roots of 13963875689824256

• 13963875689824256 squared (13963875689824256²) is 194989824280864841361504165953536
• 13963875689824256 cubed (13963875689824256³) is 2722813667038671998785198214112070831798501769216
• The square root of 13963875689824256 is 118168843.9895400515
• The cube root of 13963875689824256 is 240806.7508964493

Scales and comparisons

• 13,963,875,689,824,256 seconds is equal to 444,008,053 years, 43 weeks, 2 days, 4 hours, 30 minutes, 56 seconds.
• To count from 1 to 13,963,875,689,824,256 would take you about one billion, three hundred thirty-two million, twenty-four thousand, one hundred sixty-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 13963875689824256 cubic inches would be around 20067.2 feet tall.

Recreational maths with 13963875689824256

• 13963875689824256 backwards is 65242898657836931
• The number of decimal digits it has is: 17
• The sum of 13963875689824256's digits is 92
• More coming soon!