13830468189217225

Names of 13830468189217225

• Cardinal: 13830468189217225 can be written as Thirteen quadrillion, eight hundred thirty trillion, four hundred sixty-eight billion, one hundred eighty-nine million, two hundred seventeen thousand, two hundred twenty-five.

Scientific notation

• Scientific notation: 1.3830468189217225 × 10¹⁶

Factors of 13830468189217225

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1738

Divisors of 13830468189217225

• Number of divisors d(n): 324
• Complete list of divisors:
  1 5 7 13 25 35 43 65 91 103 169 175 215 301 325 455 515 559 721 845 1075 1183 1339 1505 1567 1849 2275 2575 2795 3605 3913 4225 4429 5915 6695 7267 7525 7835 9245 9373 10969 12943 13975 17407 18025 19565 20371 22145 24037 29575 31003 33475 36335 39175 46225 46865 50869 54845 57577 64715 67381 87035 97825 101855 110725 120185 121849 142597 155015 161401 168259 181675 190447 234325 254345 264823 274225 287885 312481 323575 336905 403039 435175 471667 509275 600925 609245 712985 748501 775075 807005 841295 875953 952235 1129807 1271725 1324115 1333129 1439425 1562405 1684525 1853761 2015195 2098213 2187367 2358335 2455489 2475811 2897383 3046225 3564925 3742505 4035025 4206475 4379765 4761175 5239507 5649035 6131671 6620575 6665645 6940243 7812025 9268805 10075975 10491065 10936835 11387389 11791675 12277445 12379055 14486915 14687491 17188423 17330677 18712525 20281681 21898825 26197535 27276769 28245175 30658355 31921357 32185543 33328225 34701215 37665979 46344025 48581701 52455325 54684175 56936945 61387225 61895275 72434575 73437455 79711723 85942115 86653385 90223159 101408405 105586027 130987675 136383845 153291775 159606785 160927715 173506075 188329895 190937383 223449499 225298801 242908505 252915367 263661853 284684725 298430449 367187275 398558615 414977641 429710575 433266925 451115795 489657727 507042025 527930135 631562113 681919225 739102189 798033925 804638575 941649475 954686915 1117247495 1126494005 1172901067 1214542525 1264576835 1318309265 1372618351 1492152245 1770407569 1992793075 2074888205 2089013143 2255578975 2448288635 2639650675 2904843487 3157810565 3287899771 3427604089 3695510945 3879595837 4540199161 4773434575 5586237475 5632470025 5864505335 6322884175 6591546325 6863091755 7460761225 8210307469 8852037845 9608328457 10374441025 10445065715 10875360781 12241443175 14524217435 15789052825 16439498855 17138020445 17844038563 18477554725 19397979185 22700995805 23015298397 27157170859 29322526675 31781394127 34315458775 41051537345 42742697023 44260189225 48041642285 50434745881 52225328575 54376803905 59022589093 72621087175 76127525467 82197494275 85690102225 89220192815 96989895925 113504979025 115076491985 124908269941 135785854295 141379690153 158906970635 205257686725 213713485115 240208211425 252173729405 271884019525 295112945465 299198879161 353043221167 380637627335 413158123651 446100964075 467640513583 575382459925 624541349705 678929271475 706898450765 767293658209 794534853175 989657831071 1068567425575 1260868647025 1475564727325 1495994395805 1765216105835 1837935971989 1903188136675 2065790618255 2338202567915 3122706748525 3273483595081 3534492253825 3836468291045 4948289155355 5371055607463 6079326676579 7479971979025 8826080529175 9189679859945 10328953091275 11691012839575 12865551803923 16367417975405 19182341455225 24741445776775 26855278037315 30396633382895 42555286736053 45948399299725 64327759019615 79031246795527 81837089877025 134276390186575 151983166914475 212776433680265 321638795098075 395156233977635 553218727568689 1063882168401325 1975781169888175 2766093637843445 13830468189217225
• Sum of all divisors σ(n): 21953408335350336
• Sum of proper divisors (its aliquot sum) s(n): 8122940146133111
• 13830468189217225 is a deficient number, because the sum of its proper divisors (8122940146133111) is less than itself. Its deficiency is 5707528043084114

Bases of 13830468189217225

• Binary: 110001001000101011110011001111011111101110000111001001₂
• Hexadecimal: 0x3122BCCF7EE1C9
• Base-36: 3S6HPDFR4CP

Squares and roots of 13830468189217225

• 13830468189217225 squared (13830468189217225²) is 191281850332949586625758236700625
• 13830468189217225 cubed (13830468189217225³) is 2645517546204469516306824114647506711885418265625
• The square root of 13830468189217225 is 117603010.9700309713
• The cube root of 13830468189217225 is 240037.4258140445

Scales and comparisons

• 13,830,468,189,217,225 seconds is equal to 439,766,107 years, 50 weeks, 3 days, 3 hours, 25 seconds.
• To count from 1 to 13,830,468,189,217,225 would take you about one billion, three hundred nineteen million, two hundred ninety-eight thousand, three hundred twenty-three 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 13830468189217225 cubic inches would be around 20003.1 feet tall.

Recreational maths with 13830468189217225

• 13830468189217225 backwards is 52271298186403831
• The number of decimal digits it has is: 17
• The sum of 13830468189217225's digits is 70
• More coming soon!