13724960216118816

Names of 13724960216118816

• Cardinal: 13724960216118816 can be written as Thirteen quadrillion, seven hundred twenty-four trillion, nine hundred sixty billion, two hundred sixteen million, one hundred eighteen thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.3724960216118816 × 10¹⁶

Factors of 13724960216118816

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 660

Divisors of 13724960216118816

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 157 168 196 224 294 314 336 392 471 491 588 628 672 784 942 982 1099 1176 1256 1473 1568 1884 1964 2198 2352 2512 2946 3297 3437 3768 3928 4396 4704 5024 5892 6594 6874 7536 7693 7856 8792 10311 11784 13188 13748 15072 15386 15712 17584 20622 23079 23568 24059 24649 26376 27496 30772 35168 41244 46158 47136 48118 49298 52752 54992 61544 72177 73947 77087 82488 92316 96236 98596 105504 109984 123088 144354 147894 154174 164976 172543 184632 192472 197192 231261 241081 246176 288708 295788 308348 329952 345086 369264 384944 394384 462522 482162 517629 539609 577416 591576 616696 690172 723243 738528 769888 788768 925044 964324 1035258 1079218 1154832 1183152 1207801 1233392 1380344 1446486 1618827 1687567 1850088 1928648 2070516 2158436 2309664 2366304 2415602 2466784 2760688 2892972 3237654 3375134 3623403 3700176 3777263 3857296 4141032 4316872 4831204 5062701 5521376 5785944 6475308 6750268 7246806 7400352 7554526 7714592 8282064 8633744 9662408 10125402 11331789 11571888 11812969 12102659 12950616 13500536 14493612 15109052 16564128 17267488 19324816 20250804 22663578 23143776 23625938 24205318 25901232 27001072 28987224 30218104 35438907 36307977 37849717 38649632 40501608 45327156 47251876 48410636 51802464 54002144 57974448 60436208 70877814 72615954 75699434 81003216 84718613 90654312 94503752 96821272 113549151 115948896 118370771 120872416 141755628 145231908 151398868 162006432 169437226 181308624 189007504 193642544 227098302 236741542 254155839 264948019 283511256 290463816 302797736 338874452 355112313 362617248 378015008 387285088 454196604 473483084 508311678 529896038 567022512 580927632 593030291 605595472 677748904 710224626 794844057 828595397 908393208 946966168 1016623356 1059792076 1134045024 1161855264 1186060582 1211190944 1355497808 1420449252 1589688114 1657190794 1779090873 1816786416 1854636133 1893932336 2033246712 2119584152 2372121164 2485786191 2710995616 2840898504 3179376228 3314381588 3558181746 3633572832 3709272266 3787864672 4066493424 4239168304 4744242328 4971572382 5563908399 5681797008 5800167779 5942405569 6358752456 6628763176 7116363492 7418544532 8132986848 8478336608 9488484656 9943144764 11127816798 11363594016 11600335558 11884811138 12717504912 13257526352 14232726984 14837089064 17400503337 17827216707 18584211047 18976969312 19886289528 22255633596 23200671116 23769622276 25435009824 26515052704 28465453968 29674178128 34801006674 35654433414 37168422094 39772579056 41596838983 44511267192 46401342232 47539244552 55752633141 56930907936 59348356256 69602013348 71308866828 74336844188 79545158112 83193677966 89022534384 92802684464 95078489104 111505266282 124790516949 130089477329 139204026696 142617733656 148673688376 166387355932 178045068768 185605368928 190156978208 223010532564 249581033898 260178954658 278408053392 285235467312 291177872881 297347376752 332774711864 390268431987 446021065128 499162067796 520357909316 556816106784 570470934624 582355745762 594694753504 665549423728 780536863974 873533618643 892042130256 910626341303 998324135592 1040715818632 1164711491524 1331098847456 1561073727948 1747067237286 1784084260512 1821252682606 1996648271184 2081431637264 2329422983048 2731879023909 2917721134379 3122147455896 3494134474572 3642505365212 3993296542368 4162863274528 4658845966096 5463758047818 5835442268758 6244294911792 6988268949144 7285010730424 8753163403137 9317691932192 10927516095636 11670884537516 12488589823584 13976537898288 14570021460848 17506326806274 20424047940653 21855032191272 23341769075032 27953075796576 29140042921696 35012653612548 40848095881306 43710064382544 46683538150064 61272143821959 70025307225096 81696191762612 87420128765088 93367076300128 122544287643918 140050614450192 142968335584571 163392383525224 245088575287836 280101228900384 285936671169142 326784767050448 428905006753713 490177150575672 571873342338284 653569534100896 857810013507426 980354301151344 1143746684676568 1715620027014852 1960708602302688 2287493369353136 3431240054029704 4574986738706272 6862480108059408 13724960216118816
• Sum of all divisors σ(n): 42264869422521312
• Sum of proper divisors (its aliquot sum) s(n): 28539909206402496
• 13724960216118816 is an abundant number, because the sum of its proper divisors (28539909206402496) is greater than itself. Its abundance is 14814948990283680

Bases of 13724960216118816

• Binary: 110000110000101100011101010010001111001111011000100000₂
• Hexadecimal: 0x30C2C7523CF620
• Base-36: 3R53BOGPELC

Squares and roots of 13724960216118816

• 13724960216118816 squared (13724960216118816²) is 188374532934044256402062629241856
• 13724960216118816 cubed (13724960216118816³) is 2585432970249721079606704289053499315356896362496
• The square root of 13724960216118816 is 117153575.3450094923
• The cube root of 13724960216118816 is 239425.4788895195

Scales and comparisons

• 13,724,960,216,118,816 seconds is equal to 436,411,280 years, 40 weeks, 5 days, 1 hour, 53 minutes, 36 seconds.
• To count from 1 to 13,724,960,216,118,816 would take you about one billion, three hundred nine million, two hundred thirty-three thousand, eight hundred forty-two 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 13724960216118816 cubic inches would be around 19952.1 feet tall.

Recreational maths with 13724960216118816

• 13724960216118816 backwards is 61881161206942731
• The number of decimal digits it has is: 17
• The sum of 13724960216118816's digits is 66
• More coming soon!