48523584650589664

Names of 48523584650589664

• Cardinal: 48523584650589664 can be written as Forty-eight quadrillion, five hundred twenty-three trillion, five hundred eighty-four billion, six hundred fifty million, five hundred eighty-nine thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 4.8523584650589664 × 10¹⁶

Factors of 48523584650589664

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 308103343

Divisors of 48523584650589664

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 23 28 32 44 46 49 56 77 88 92 98 112 154 161 176 184 196 224 253 308 322 352 368 392 397 506 539 616 644 736 784 794 1012 1078 1127 1232 1288 1568 1588 1771 2024 2156 2254 2464 2576 2779 3176 3542 4048 4312 4367 4508 5152 5558 6352 7084 8096 8624 8734 9016 9131 11116 12397 12704 14168 17248 17468 18032 18262 19453 22232 24794 28336 30569 34936 36064 36524 38906 44464 49588 56672 61138 63917 69872 73048 77812 88928 99176 100441 122276 127834 139744 146096 155624 198352 200882 213983 244552 255668 292192 311248 396704 401764 427966 447419 489104 511336 622496 703087 803528 855932 894838 978208 1022672 1406174 1607056 1711864 1789676 2045344 2812348 3214112 3423728 3579352 4921609 5624696 6847456 7158704 9843218 11249392 14317408 19686436 22498784 39372872 78745744 157491488 308102903 616205806 1232411612 2156720321 2464823224 3389131933 4313440642 4929646448 6778263866 7086366769 8626881284 9859292896 13556527732 14172733538 15097042247 17253762568 23723923531 27113055464 28345467076 30194084494 34507525136 47447847062 49604567383 54226110928 56690934152 60388168988 69015050272 77950034459 94895694124 99209134766 108452221856 113381868304 120776337976 122316852491 155900068918 166067464717 189791388248 198418269532 226763736608 241552675952 244633704982 311800137836 332134929434 347231971681 379582776496 396836539064 483105351904 489267409964 545650241213 623600275672 664269858868 694463943362 759165552992 793673078128 856217967437 978534819928 1091300482426 1247200551344 1328539717736 1345485377401 1388927886724 1587346156256 1712435934874 1957069639856 2182600964852 2494401102688 2657079435472 2690970754802 2777855773448 2813287607293 3424871869748 3819551688491 3914139279712 4365201929704 5314158870944 5381941509604 5555711546896 5626575214586 5993525772059 6849743739496 7639103376982 8730403859408 9418397641807 10763883019208 11111423093792 11253150429172 11987051544118 13699487478992 15278206753964 17460807718816 18836795283614 19693013251051 21527766038416 22506300858344 23974103088236 27398974957984 30556413507928 30946163680223 37673590567228 39386026502102 43055532076832 45012601716688 47948206176472 61112827015856 61892327360446 65928783492649 75347181134456 78772053004204 90025203433376 95896412352944 122225654031712 123784654720892 131857566985298 137851092757357 150694362268912 157544106008408 191792824705888 216623145761561 247569309441784 263715133970596 275702185514714 301388724537824 315088212016816 433246291523122 495138618883568 527430267941192 551404371029428 630176424033632 866492583046244 990277237767136 1054860535882384 1102808742058856 1516362020330927 1732985166092488 2109721071764768 2205617484117712 3032724040661854 3465970332184976 4411234968235424 6065448081323708 6931940664369952 12130896162647416 24261792325294832 48523584650589664
• Sum of all divisors σ(n): 126819710279732736
• Sum of proper divisors (its aliquot sum) s(n): 78296125629143072
• 48523584650589664 is an abundant number, because the sum of its proper divisors (78296125629143072) is greater than itself. Its abundance is 29772540978553408

Bases of 48523584650589664

• Binary: 10101100011000111111000101110010010100111011010111100000₂
• Hexadecimal: 0xAC63F17253B5E0
• Base-36: D9S6B1V4R8G

Squares and roots of 48523584650589664

• 48523584650589664 squared (48523584650589664²) is 2354538267342940844538462903632896
• 48523584650589664 cubed (48523584650589664³) is 114250636928467907102779102755469549770254187986944
• The square root of 48523584650589664 is 220280695.1382477911
• The cube root of 48523584650589664 is 364740.7545506493

Scales and comparisons

• 48,523,584,650,589,664 seconds is equal to 1,542,899,898 years, 30 weeks, 3 days, 12 hours, 41 minutes, 4 seconds.
• To count from 1 to 48,523,584,650,589,664 would take you about four billion, six hundred twenty-eight million, six hundred ninety-nine thousand, six hundred ninety-five 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 48523584650589664 cubic inches would be around 30395.1 feet tall.

Recreational maths with 48523584650589664

• 48523584650589664 backwards is 46698505648532584
• 48523584650589664 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 48523584650589664's digits is 88
• More coming soon!