13689297276864768

Names of 13689297276864768

• Cardinal: 13689297276864768 can be written as Thirteen quadrillion, six hundred eighty-nine trillion, two hundred ninety-seven billion, two hundred seventy-six million, eight hundred sixty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3689297276864768 × 10¹⁶

Factors of 13689297276864768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 125586

Divisors of 13689297276864768

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 64 72 78 87 96 104 116 117 128 144 156 174 192 208 232 234 256 261 288 312 348 377 384 416 464 468 522 576 624 696 754 768 832 928 936 1044 1131 1152 1248 1392 1508 1664 1856 1872 2088 2262 2304 2496 2784 3016 3328 3393 3712 3744 4176 4524 4992 5568 6032 6786 7424 7488 8352 9048 9984 11136 12064 13572 14976 16704 18096 22272 24128 27144 29952 33408 36192 48256 54288 66816 72384 96512 108576 125539 144768 217152 251078 289536 376617 434304 502156 753234 868608 1004312 1129851 1506468 1632007 2008624 2259702 3012936 3264014 3640631 4017248 4519404 4896021 6025872 6528028 7281262 8034496 9038808 9792042 10921893 12051744 13056056 14562524 14688063 16068992 18077616 19584084 21843786 24103488 26112112 29125048 29376126 32137984 32765679 36155232 39168168 43687572 47328203 48206976 52224224 58250096 58752252 65531358 72310464 78336336 87375144 94656406 96413952 104448448 116500192 117504504 131062716 141984609 144620928 156672672 174750288 189312812 208896896 233000384 235009008 262125432 283969218 289241856 313345344 349500576 378625624 417793792 425953827 466000768 470018016 524250864 567938436 626690688 699001152 757251248 851907654 932001536 940036032 1048501728 1135876872 1253381376 1398002304 1514502496 1703815308 1880072064 2097003456 2271753744 2796004608 3029004992 3407630616 3760144128 4194006912 4543507488 6058009984 6815261232 8388013824 9087014976 12116019968 13630522464 15760040521 18174029952 27261044928 31520081042 36348059904 47280121563 54522089856 63040162084 94560243126 109044179712 126080324168 141840364689 189120486252 204880526773 252160648336 283680729378 378240972504 409761053546 457041175109 504321296672 567361458756 614641580319 756481945008 819522107092 914082350218 1008642593344 1134722917512 1229283160638 1371123525327 1512963890016 1639044214184 1828164700436 1843924740957 2017285186688 2269445835024 2458566321276 2742247050654 3025927780032 3278088428368 3656329400872 3687849481914 4034570373376 4113370575981 4538891670048 4917132642552 5484494101308 5941535276417 6051855560064 6556176856736 7312658801744 7375698963828 8226741151962 9077783340096 9834265285104 10968988202616 11883070552834 12103711120128 13112353713472 14625317603488 14751397927656 16453482303924 17824605829251 18155566680192 19668530570208 21937976405232 23766141105668 26224707426944 29250635206976 29502795855312 32906964607848 35649211658502 36311133360384 39337061140416 43875952810464 47532282211336 52449414853888 53473817487753 58501270413952 59005591710624 65813929215696 71298423317004 78674122280832 87751905620928 95064564422672 106947634975506 117002540827904 118011183421248 131627858431392 142596846634008 157348244561664 175503811241856 190129128845344 213895269951012 236022366842496 263255716862784 285193693268016 351007622483712 380258257690688 427790539902024 472044733684992 526511433725568 570387386536032 760516515381376 855581079804048 1053022867451136 1140774773072064 1521033030762752 1711162159608096 2281549546144128 3422324319216192 4563099092288256 6844648638432384 13689297276864768
• Sum of all divisors σ(n): 43971808920153660
• Sum of proper divisors (its aliquot sum) s(n): 30282511643288892
• 13689297276864768 is an abundant number, because the sum of its proper divisors (30282511643288892) is greater than itself. Its abundance is 16593214366424124

Bases of 13689297276864768

• Binary: 110000101000100101011111100101011010011000100100000000₂
• Hexadecimal: 0x30A257E5698900
• Base-36: 3QSG8CNGOW0

Squares and roots of 13689297276864768

• 13689297276864768 squared (13689297276864768²) is 187396859934377152630291759693824
• 13689297276864768 cubed (13689297276864768³) is 2565331324392677502030220682587703621670332792832
• The square root of 13689297276864768 is 117001270.4070548457
• The cube root of 13689297276864768 is 239217.9246124907

Scales and comparisons

• 13,689,297,276,864,768 seconds is equal to 435,277,309 years, 32 weeks, 4 days, 10 hours, 52 minutes, 48 seconds.
• To count from 1 to 13,689,297,276,864,768 would take you about one billion, three hundred five million, eight hundred thirty-one thousand, nine hundred twenty-eight 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 13689297276864768 cubic inches would be around 19934.8 feet tall.

Recreational maths with 13689297276864768

• 13689297276864768 backwards is 86746867279298631
• The number of decimal digits it has is: 17
• The sum of 13689297276864768's digits is 99
• More coming soon!