13436090420414001600

Names of 13436090420414001600

• Cardinal: 13436090420414001600 can be written as Thirteen quintillion, four hundred thirty-six quadrillion, ninety trillion, four hundred twenty billion, four hundred fourteen million, one thousand, six hundred.

Scientific notation

• Scientific notation: 1.34360904204140016 × 10¹⁹

Factors of 13436090420414001600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 14673876

Divisors of 13436090420414001600

• Number of divisors d(n): 252
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 130 150 156 160 192 195 200 208 240 260 300 312 320 325 390 400 416 480 520 600 624 650 780 800 832 960 975 1040 1200 1248 1300 1560 1600 1950 2080 2400 2496 2600 3120 3900 4160 4800 5200 6240 7800 10400 12480 15600 20800 31200 62400 14673853 29347706 44021559 58695412 73369265 88043118 117390824 146738530 176086236 190760089 220107795 234781648 293477060 352172472 366846325 381520178 440215590 469563296 572280267 586954120 704344944 733692650 763040356 880431180 939126592 953800445 1100538975 1144560534 1173908240 1408689888 1467385300 1526080712 1760862360 1907600890 2201077950 2289121068 2347816480 2817379776 2861401335 2934770600 3052161424 3521724720 3815201780 4402155900 4578242136 4695632960 4769002225 5722802670 5869541200 6104322848 7043449440 7630403560 8804311800 9156484272 9538004450 11445605340 11739082400 12208645696 14086898880 14307006675 15260807120 17608623600 18312968544 19076008900 22891210680 23478164800 28614013350 30521614240 35217247200 36625937088 38152017800 45782421360 57228026700 61043228480 70434494400 76304035600 91564842720 114456053400 152608071200 183129685440 228912106800 305216142400 457824213600 915648427200 215321961865609 430643923731218 645965885596827 861287847462436 1076609809328045 1291931771193654 1722575694924872 2153219618656090 2583863542387308 2799185504252917 3229829427984135 3445151389849744 4306439237312180 5167727084774616 5383049046640225 5598371008505834 6459658855968270 6890302779699488 8397556512758751 8612878474624360 10335454169549232 10766098093280450 11196742017011668 12919317711936540 13780605559398976 13995927521264585 16149147139920675 16795113025517502 17225756949248720 20670908339098464 21532196186560900 22393484034023336 25838635423873080 27991855042529170 32298294279841350 33590226051035004 34451513898497440 41341816678196928 41987782563793755 43064392373121800 44786968068046672 51677270847746160 55983710085058340 64596588559682700 67180452102070008 68903027796994880 69979637606322925 83975565127587510 86128784746243600 89573936136093344 103354541695492320 111967420170116680 129193177119365400 134360904204140016 139959275212645850 167951130255175020 172257569492487200 179147872272186688 206709083390984640 209938912818968775 223934840340233360 258386354238730800 268721808408280032 279918550425291700 335902260510350040 344515138984974400 419877825637937550 447869680680466720 516772708477461600 537443616816560064 559837100850583400 671804521020700080 839755651275875100 895739361360933440 1033545416954923200 1119674201701166800 1343609042041400160 1679511302551750200 2239348403402333600 2687218084082800320 3359022605103500400 4478696806804667200 6718045210207000800 13436090420414001600
• Sum of all divisors σ(n): 47472466811608486536
• Sum of proper divisors (its aliquot sum) s(n): 34036376391194484936
• 13436090420414001600 is an abundant number, because the sum of its proper divisors (34036376391194484936) is greater than itself. Its abundance is 20600285970780483336

Bases of 13436090420414001600

• Binary: 1011101001110110100101010000110011000110110011100011000111000000₂
• Hexadecimal: 0xBA76950CC6CE31C0
• Base-36: 2U2X4JRF85S5C

Squares and roots of 13436090420414001600

• 13436090420414001600 squared (13436090420414001600²) is 180528525785540902263420741324802560000
• 13436090420414001600 cubed (13436090420414001600³) is 2425597595918568189940558929345977593189129579524096000000
• The square root of 13436090420414001600 is 3665527304.5516932283
• The cube root of 13436090420414001600 is 2377338.2206929633

Scales and comparisons

• 13,436,090,420,414,001,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 13,436,090,420,414,001,600 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13436090420414001600 cubic inches would be around 198111.5 feet tall.

Recreational maths with 13436090420414001600

• 13436090420414001600 backwards is 00610041402409063431
• 13436090420414001600 is a Harshad number.
• The number of decimal digits it has is: 20
• The sum of 13436090420414001600's digits is 48
• More coming soon!