13127213399718400

Names of 13127213399718400

• Cardinal: 13127213399718400 can be written as Thirteen quadrillion, one hundred twenty-seven trillion, two hundred thirteen billion, three hundred ninety-nine million, seven hundred eighteen thousand, four hundred.

Scientific notation

• Scientific notation: 1.31272133997184 × 10¹⁶

Factors of 13127213399718400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2713162

Divisors of 13127213399718400

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 128 160 200 212 256 265 320 400 424 512 530 640 800 848 1060 1280 1325 1600 1696 2120 2560 2650 3200 3392 4240 5300 6400 6784 7151 8480 10600 12800 13568 14302 16960 21200 27136 28604 33920 35755 42400 57208 67840 71510 84800 114416 135680 143020 169600 178775 228832 286040 339200 357550 379003 457664 572080 678400 715100 758006 915328 1144160 1430200 1516012 1830656 1895015 2288320 2705951 2860400 3032024 3661312 3790030 4576640 5411902 5720800 6064048 7580060 9153280 9475075 10823804 11441600 12128096 13529755 15160120 18306560 18950150 21647608 22883200 24256192 27059510 30320240 37900300 43295216 45766400 48512384 54119020 60640480 67648775 75800600 86590432 91532800 97024768 108238040 121280960 135297550 143415403 151601200 173180864 194049536 216476080 242561920 270595100 286830806 303202400 346361728 432952160 485123840 541190200 573661612 606404800 692723456 717077015 865904320 970247680 1082380400 1147323224 1212809600 1385446912 1434154030 1731808640 2164760800 2294646448 2425619200 2868308060 3463617280 3585385075 4329521600 4589292896 4851238400 5736616120 6927234560 7170770150 8659043200 9178585792 11473232240 14341540300 17318086400 18357171584 19350255601 22946464480 28683080600 34636172800 36714343168 38700511202 45892928960 57366161200 73428686336 77401022404 91785857920 96751278005 114732322400 154802044808 183571715840 193502556010 229464644800 309604089616 367143431680 387005112020 458929289600 483756390025 619208179232 774010224040 917858579200 967512780050 1025563546853 1238416358464 1548020448080 1835717158400 1935025560100 2051127093706 2476832716928 3096040896160 3870051120200 4102254187412 4953665433856 5127817734265 6192081792320 7740102240400 8204508374824 9907330867712 10255635468530 12384163584640 15480204480800 16409016749648 20511270937060 24768327169280 25639088671325 30960408961600 32818033499296 41022541874120 49536654338560 51278177342650 61920817923200 65636066998592 82045083748240 102556354685300 123841635846400 131272133997184 164090167496480 205112709370600 247683271692800 262544267994368 328180334992960 410225418741200 525088535988736 656360669985920 820450837482400 1312721339971840 1640901674964800 2625442679943680 3281803349929600 6563606699859200 13127213399718400
• Sum of all divisors σ(n): 33141997611537408
• Sum of proper divisors (its aliquot sum) s(n): 20014784211819008
• 13127213399718400 is an abundant number, because the sum of its proper divisors (20014784211819008) is greater than itself. Its abundance is 6887570812100608

Bases of 13127213399718400

• Binary: 101110101000110010000110001011100101001011101000000000₂
• Hexadecimal: 0x2EA3218B94BA00
• Base-36: 3L97IKZL3WG

Squares and roots of 13127213399718400

• 13127213399718400 squared (13127213399718400²) is 172323731641746313413199298560000
• 13127213399718400 cubed (13127213399718400³) is 2262130399097009842008033807070275781525504000000
• The square root of 13127213399718400 is 114574052.0349978719
• The cube root of 13127213399718400 is 235897.9581340423

Scales and comparisons

• 13,127,213,399,718,400 seconds is equal to 417,404,780 years, 50 weeks, 4 days, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 13,127,213,399,718,400 would take you about one billion, two hundred fifty-two million, two hundred fourteen thousand, three 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 13127213399718400 cubic inches would be around 19658.2 feet tall.

Recreational maths with 13127213399718400

• 13127213399718400 backwards is 00481799331272131
• The number of decimal digits it has is: 17
• The sum of 13127213399718400's digits is 61
• More coming soon!