13712369906173568

Names of 13712369906173568

• Cardinal: 13712369906173568 can be written as Thirteen quadrillion, seven hundred twelve trillion, three hundred sixty-nine billion, nine hundred six million, one hundred seventy-three thousand, five hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3712369906173568 × 10¹⁶

Factors of 13712369906173568

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 730

Divisors of 13712369906173568

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 7 8 14 16 28 29 32 56 58 64 79 112 116 128 158 203 224 232 316 406 448 464 553 613 632 812 841 896 928 1106 1226 1264 1624 1682 1856 2212 2291 2452 2528 3248 3364 3712 4291 4424 4582 4904 5056 5887 6496 6728 8582 8848 9164 9808 10112 11774 12992 13456 16037 17164 17696 17777 18328 19616 23548 25984 26912 32074 34328 35392 35554 36656 39232 47096 48427 53824 64148 66439 68656 70784 71108 73312 78464 94192 96854 107648 124439 128296 132878 137312 142216 146624 188384 193708 248878 256592 265756 274624 284432 293248 338989 375769 376768 387416 465073 497756 513184 515533 531512 549248 568864 677978 751538 753536 774832 930146 995512 1026368 1031066 1063024 1137728 1355956 1404383 1503076 1549664 1860292 1991024 2052736 2062132 2126048 2275456 2630383 2711912 2808766 3006152 3099328 3608731 3720584 3982048 4124264 4252096 5260766 5423824 5617532 6012304 6198656 7217462 7441168 7964096 8248528 8504192 9830681 10521532 10847648 10897301 11235064 12024608 14434924 14882336 15928192 16497056 19661362 21043064 21695296 21794602 22470128 24049216 28869848 29685751 29764672 32994112 39322724 40727107 42086128 43390592 43589204 44940256 48098432 57739696 59371502 59529344 65988224 76281107 78645448 81454214 84172256 87178408 89880512 115479392 118743004 152562214 157290896 162908428 168344512 174356816 179761024 207800257 230346397 230958784 237486008 285089749 305124428 314581792 316021729 325816856 336689024 348713632 415600514 460692794 461917568 474972016 570179498 610248856 629163584 632043458 651633712 697427264 831201028 860886779 921385588 949944032 1140358996 1220497712 1258327168 1264086916 1303267424 1394854528 1612424779 1662402056 1721773558 1842771176 1899888064 2212152103 2280717992 2440995424 2528173832 2606534848 3224849558 3324804112 3443547116 3685542352 3799776128 4424304206 4561435984 4881990848 5056347664 5213069696 6026207453 6449699116 6649608224 6680045513 6887094232 7371084704 8848608412 9122871968 9763981696 10112695328 12052414906 12899398232 13299216448 13360091026 13774188464 14742169408 17697216824 18197365363 18245743936 20225390656 24104829812 24965716591 25798796464 26598432896 26720182052 27548376928 29484338816 35394433648 36394730726 36491487872 40450781312 46760318591 48209659624 49931433182 51597592928 53440364104 55096753856 70788867296 72789461452 93520637182 96419319248 99862866364 103195185856 106880728208 110193507712 127381557541 141577734592 145578922904 174760016137 187041274364 192838638496 193721319877 199725732728 206390371712 213761456416 254763115082 283155469184 291157845808 349520032274 374082548728 385677276992 387442639754 399451465456 427522912832 509526230164 527723595527 582315691616 699040064548 748165097456 771354553984 774885279508 798902930912 855045825664 1019052460328 1055447191054 1164631383232 1356049239139 1398080129096 1496330194912 1549770559016 1597805861824 2038104920656 2110894382108 2329262766464 2712098478278 2796160258192 2992660389824 3099541118032 3195611723648 3694065168689 4076209841312 4221788764216 5424196956556 5592320516384 5985320779648 6199082236064 7388130337378 8152419682624 8443577528432 10848393913112 11184641032768 12398164472128 14776260674756 15303984270283 16304839365248 16887155056864 21696787826224 22369282065536 24796328944256 29552521349512 30607968540566 33774310113728 43393575652448 59105042699024 61215937081132 67548620227456 86787151304896 107127889891981 118210085398048 122431874162264 173574302609792 214255779783962 236420170796096 244863748324528 428511559567924 472840341592192 489727496649056 857023119135848 979454993298112 1714046238271696 1958909986596224 3428092476543392 6856184953086784 13712369906173568
• Sum of all divisors σ(n): 32796597153216000
• Sum of proper divisors (its aliquot sum) s(n): 19084227247042432
• 13712369906173568 is an abundant number, because the sum of its proper divisors (19084227247042432) is greater than itself. Its abundance is 5371857340868864

Bases of 13712369906173568

• Binary: 110000101101110101001111101001010010010100011010000000₂
• Hexadecimal: 0x30B753E9494680
• Base-36: 3R0MNRR8IGW

Squares and roots of 13712369906173568

• 13712369906173568 squared (13712369906173568²) is 188029088443734506075719341850624
• 13712369906173568 cubed (13712369906173568³) is 2578324413861113248189470171245173339647673106432
• The square root of 13712369906173568 is 117099828.8050566195
• The cube root of 13712369906173568 is 239352.2458125633

Scales and comparisons

• 13,712,369,906,173,568 seconds is equal to 436,010,947 years, 45 weeks, 2 days, 3 hours, 46 minutes, 8 seconds.
• To count from 1 to 13,712,369,906,173,568 would take you about one billion, three hundred eight million, thirty-two thousand, eight hundred forty-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 13712369906173568 cubic inches would be around 19946 feet tall.

Recreational maths with 13712369906173568

• 13712369906173568 backwards is 86537160996321731
• The number of decimal digits it has is: 17
• The sum of 13712369906173568's digits is 77
• More coming soon!