13217428799571024

Names of 13217428799571024

• Cardinal: 13217428799571024 can be written as Thirteen quadrillion, two hundred seventeen trillion, four hundred twenty-eight billion, seven hundred ninety-nine million, five hundred seventy-one thousand and twenty-four.

Scientific notation

• Scientific notation: 1.3217428799571024 × 10¹⁶

Factors of 13217428799571024

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 8293819523

Divisors of 13217428799571024

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 31 34 36 42 48 51 54 56 62 63 68 72 84 93 102 108 112 119 124 126 136 144 153 168 186 189 204 216 217 238 248 252 272 279 306 336 357 372 378 408 432 434 459 476 496 504 527 558 612 651 714 744 756 816 837 868 918 952 1008 1054 1071 1116 1224 1302 1428 1488 1512 1581 1674 1736 1836 1904 1953 2108 2142 2232 2448 2604 2856 3024 3162 3213 3348 3472 3672 3689 3906 4216 4284 4464 4743 5208 5712 5859 6324 6426 6696 7344 7378 7812 8432 8568 9486 10416 11067 11718 12648 12852 13392 14229 14756 15624 17136 18972 22134 23436 25296 25704 28458 29512 31248 33201 37944 44268 46872 51408 56916 59024 66402 75888 88536 93744 99603 113832 132804 177072 199206 227664 265608 398412 531216 796824 1593648 8293819463 16587638926 24881458389 33175277852 49762916778 58056736241 66350555704 74644375167 99525833556 116113472482 132701111408 140994930871 149288750334 174170208723 199051667112 223933125501 232226944964 257108403353 281989861742 298577500668 348340417446 398103334224 422984792613 447866251002 464453889928 514216806706 522510626169 563979723484 597155001336 696680834892 771325210059 845969585226 895732502004 928907779856 986964516097 1028433613412 1045021252338 1127959446968 1194310002672 1268954377839 1393361669784 1542650420118 1567531878507 1691939170452 1791465004008 1799758823471 1973929032194 2056867226824 2090042504676 2255918893936 2313975630177 2537908755678 2786723339568 2960893548291 3085300840236 3135063757014 3383878340904 3582930008016 3599517646942 3806863133517 3947858064388 4113734453648 4180085009352 4370842857001 4627951260354 5075817511356 5399276470413 5921787096582 6170601680472 6270127514028 6767756681808 6941926890531 7199035293884 7613726267034 7895716128776 8360170018704 8741685714002 8882680644873 9255902520708 10151635022712 10798552940826 11843574193164 12341203360944 12540255028056 13112528571003 13883853781062 14398070587768 15227452534068 15791432257552 16197829411239 17483371428004 17765361289746 18511805041416 20303270045424 21597105881652 23687148386328 25080510056112 26225057142006 26648041934619 27767707562124 28796141175536 30454905068136 30595899999007 32395658822478 34966742856008 35530722579492 37023610082832 39337585713009 43194211763304 47374296772656 48593488233717 52450114284012 53296083869238 55535415124248 60909810136272 61191799998014 64791317644956 69933485712016 71061445158984 78675171426018 86388423526608 91787699997021 97186976467434 104900228568024 106592167738476 111070830248496 118012757139027 122383599996028 129582635289912 142122890317968 157350342852036 183575399994042 194373952934868 209800457136048 213184335476952 236025514278054 244767199992056 259165270579824 275363099991063 314700685704072 367150799988084 388747905869736 426368670953904 472051028556108 489534399984112 550726199982126 629401371408144 734301599976168 777495811739472 826089299973189 944102057112216 1101452399964252 1468603199952336 1652178599946378 1888204114224432 2202904799928504 3304357199892756 4405809599857008 6608714399785512 13217428799571024
• Sum of all divisors σ(n): 47390220911738880
• Sum of proper divisors (its aliquot sum) s(n): 34172792112167856
• 13217428799571024 is an abundant number, because the sum of its proper divisors (34172792112167856) is greater than itself. Its abundance is 20955363312596832

Bases of 13217428799571024

• Binary: 101110111101010010111001110100011100010100010001010000₂
• Hexadecimal: 0x2EF52E74714450
• Base-36: 3M56QYRD6C0

Squares and roots of 13217428799571024

• 13217428799571024 squared (13217428799571024²) is 174700424071729520526366420408576
• 13217428799571024 cubed (13217428799571024³) is 2309090416422948741298792441663901627827610701824
• The square root of 13217428799571024 is 114967077.0245596181
• The cube root of 13217428799571024 is 236437.1195776669

Scales and comparisons

• 13,217,428,799,571,024 seconds is equal to 420,273,351 years, 33 weeks, 50 minutes, 24 seconds.
• To count from 1 to 13,217,428,799,571,024 would take you about one billion, two hundred sixty million, eight hundred twenty thousand and fifty-four 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 13217428799571024 cubic inches would be around 19703.1 feet tall.

Recreational maths with 13217428799571024

• 13217428799571024 backwards is 42017599782471231
• 13217428799571024 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13217428799571024's digits is 72
• More coming soon!