13424836980032000

Names of 13424836980032000

• Cardinal: 13424836980032000 can be written as Thirteen quadrillion, four hundred twenty-four trillion, eight hundred thirty-six billion, nine hundred eighty million, thirty-two thousand.

Scientific notation

• Scientific notation: 1.3424836980032 × 10¹⁶

Factors of 13424836980032000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1247

Divisors of 13424836980032000

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 125 128 160 200 212 250 256 265 320 400 424 500 512 530 640 800 848 1000 1060 1187 1280 1325 1600 1696 2000 2120 2374 2560 2650 2809 3200 3392 4000 4240 4748 5300 5618 5935 6400 6625 6784 8000 8480 9496 10600 11236 11870 12800 13250 13568 14045 16000 16960 18992 21200 22472 23740 26500 27136 28090 29675 32000 33920 37984 42400 44944 47480 53000 56180 59350 62911 64000 67840 70225 75968 84800 89888 94960 106000 112360 118700 125822 135680 140450 148375 148877 151936 169600 179776 189920 212000 224720 237400 251644 280900 296750 297754 303872 314555 339200 351125 359552 379840 424000 449440 474800 503288 561800 593500 595508 607744 629110 678400 702250 719104 744385 759680 848000 898880 949600 1006576 1123600 1187000 1191016 1258220 1404500 1408969 1438208 1488770 1519360 1572775 1696000 1797760 1899200 2013152 2247200 2374000 2382032 2516440 2809000 2817938 2977540 3038720 3145550 3334283 3392000 3595520 3721925 3798400 4026304 4494400 4748000 4764064 5032880 5618000 5635876 5955080 6291100 6668566 7044845 7191040 7443850 7596800 7863875 8052608 8988800 9496000 9528128 10065760 11236000 11271752 11910160 12582200 13337132 14089690 14887700 15193600 15727750 16105216 16671415 17977600 18609625 18992000 19056256 20131520 22472000 22543504 23820320 25164400 26674264 28179380 29775400 31455500 32210432 33342830 35224225 35955200 37219250 37984000 38112512 40263040 44944000 45087008 47640640 50328800 53348528 56358760 59550800 62911000 66685660 70448450 74438500 74675357 75968000 76225024 80526080 83357075 89888000 90174016 95281280 100657600 106697056 112717520 119101600 125822000 133371320 140896900 148877000 149350714 161052160 166714150 176121125 176716999 179776000 180348032 190562560 201315200 213394112 225435040 238203200 251644000 266742640 281793800 297754000 298701428 333428300 352242250 353433998 360696064 373376785 381125120 402630400 416785375 426788224 450870080 476406400 503288000 533485280 563587600 595508000 597402856 666856600 704484500 706867996 721392128 746753570 805260800 833570750 853576448 883584995 901740160 952812800 1006576000 1066970560 1127175200 1191016000 1194805712 1333713200 1408969000 1413735992 1493507140 1667141500 1707152896 1767169990 1803480320 1866883925 1905625600 2013152000 2133941120 2254350400 2382032000 2389611424 2667426400 2817938000 2827471984 2987014280 3334283000 3534339980 3606960640 3733767850 3957793921 4026304000 4267882240 4417924975 4508700800 4764064000 4779222848 5334852800 5635876000 5654943968 5974028560 6668566000 7068679960 7467535700 7915587842 8535764480 8835849950 9017401600 9334419625 9528128000 9558445696 10669705600 11271752000 11309887936 11948057120 13337132000 14137359920 14935071400 15831175684 17671699900 18034803200 18668839250 19116891392 19788969605 21339411200 22089624875 22543504000 22619775872 23896114240 26674264000 28274719840 29870142800 31662351368 35343399800 37337678500 38233782784 39577939210 42678822400 44179249750 45087008000 45239551744 47792228480 53348528000 56549439680 59740285600 63324702736 70686799600 74675357000 79155878420 88358499500 90174016000 90479103488 95584456960 98944848025 106697056000 113098879360 119480571200 126649405472 141373599200 149350714000 158311756840 176716999000 191168913920 197889696050 209763077813 213394112000 226197758720 238961142400 253298810944 282747198400 298701428000 316623513680 353433998000 395779392100 419526155626 452395517440 477922284800 494724240125 506597621888 565494396800 597402856000 633247027360 706867996000 791558784200 839052311252 955844569600 989448480250 1013195243776 1048815389065 1130988793600 1194805712000 1266494054720 1413735992000 1583117568400 1678104622504 1978896960500 2026390487552 2097630778130 2261977587200 2389611424000 2532988109440 2827471984000 3166235136800 3356209245008 3957793921000 4195261556260 4779222848000 5065976218880 5244076945325 5654943968000 6332470273600 6712418490016 7915587842000 8390523112520 10131952437760 10488153890650 11309887936000 12664940547200 13424836980032 15831175684000 16781046225040 20976307781300 25329881094400 26220384726625 26849673960064 31662351368000 33562092450080 41952615562600 50659762188800 52440769453250 53699347920128 63324702736000 67124184900160 83905231125200 104881538906500 107398695840256 126649405472000 134248369800320 167810462250400 209763077813000 253298810944000 268496739600640 335620924500800 419526155626000 536993479201280 671241849001600 839052311252000 1342483698003200 1678104622504000 2684967396006400 3356209245008000 6712418490016000 13424836980032000
• Sum of all divisors σ(n): 34148197092849840
• Sum of proper divisors (its aliquot sum) s(n): 20723360112817840
• 13424836980032000 is an abundant number, because the sum of its proper divisors (20723360112817840) is greater than itself. Its abundance is 7298523132785840

Bases of 13424836980032000

• Binary: 101111101100011101000101101111010111001100001000000000₂
• Hexadecimal: 0x2FB1D16F5CC200
• Base-36: 3O6PGYUW3Y8

Squares and roots of 13424836980032000

• 13424836980032000 squared (13424836980032000²) is 180226247940434709966721024000000
• 13424836980032000 cubed (13424836980032000³) is 2419507998123163971570904883057602592768000000000
• The square root of 13424836980032000 is 115865598.7773420175
• The cube root of 13424836980032000 is 237667.4319571433

Scales and comparisons

• 13,424,836,980,032,000 seconds is equal to 426,868,290 years, 11 weeks, 2 days, 6 hours, 13 minutes, 20 seconds.
• To count from 1 to 13,424,836,980,032,000 would take you about one billion, two hundred eighty million, six hundred four thousand, eight hundred seventy 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 13424836980032000 cubic inches would be around 19805.6 feet tall.

Recreational maths with 13424836980032000

• 13424836980032000 backwards is 00023008963842431
• 13424836980032000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13424836980032000's digits is 53
• More coming soon!