13222007306606589120

Names of 13222007306606589120

• Cardinal: 13222007306606589120 can be written as Thirteen quintillion, two hundred twenty-two quadrillion, seven trillion, three hundred six billion, six hundred six million, five hundred eighty-nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.322200730660658912 × 10¹⁹

Factors of 13222007306606589120

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 218617845678036

Divisors of 13222007306606589120

• Number of divisors d(n): 224
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 135 140 144 160 168 180 189 192 210 216 224 240 252 270 280 288 315 320 336 360 378 420 432 448 480 504 540 560 576 630 672 720 756 840 864 945 960 1008 1080 1120 1260 1344 1440 1512 1680 1728 1890 2016 2160 2240 2520 2880 3024 3360 3780 4032 4320 5040 6048 6720 7560 8640 10080 12096 15120 20160 30240 60480 218617845678019 437235691356038 655853537034057 874471382712076 1093089228390095 1311707074068114 1530324919746133 1748942765424152 1967560611102171 2186178456780190 2623414148136228 3060649839492266 3279267685170285 3497885530848304 3935121222204342 4372356913560380 4590974759238399 5246828296272456 5902681833306513 6121299678984532 6558535370340570 6995771061696608 7651624598730665 7870242444408684 8744713827120760 9181949518476798 9837803055510855 10493656592544912 11805363666613026 12242599357969064 13117070740681140 13772924277715197 13991542123393216 15303249197461330 15740484888817368 17489427654241520 18363899036953596 19675606111021710 20987313185089824 22954873796191995 23610727333226052 24485198715938128 26234141481362280 27545848555430394 29513409166532565 30606498394922660 31480969777634736 34978855308483040 36727798073907192 39351212222043420 41318772833145591 41974626370179648 45909747592383990 47221454666452104 48970397431876256 52468282962724560 55091697110860788 59026818333065130 61212996789845320 62961939555269472 68864621388575985 69957710616966080 73455596147814384 78702424444086840 82637545666291182 91819495184767980 94442909332904208 97940794863752512 104936565925449120 110183394221721576 118053636666130260 122425993579690640 125923879110538944 137729242777151970 146911192295628768 157404848888173680 165275091332582364 183638990369535960 188885818665808416 206593864165727955 209873131850898240 220366788443443152 236107273332260520 244851987159381280 275458485554303940 293822384591257536 314809697776347360 330550182665164728 367277980739071920 377771637331616832 413187728331455910 440733576886886304 472214546664521040 489703974318762560 550916971108607880 629619395552694720 661100365330329456 734555961478143840 826375456662911820 881467153773772608 944429093329042080 1101833942217215760 1322200730660658912 1469111922956287680 1652750913325823640 1888858186658084160 2203667884434431520 2644401461321317824 3305501826651647280 4407335768868863040 6611003653303294560 13222007306606589120
• Sum of all divisors σ(n): 53307775490128396800
• Sum of proper divisors (its aliquot sum) s(n): 40085768183521807680
• 13222007306606589120 is an abundant number, because the sum of its proper divisors (40085768183521807680) is greater than itself. Its abundance is 26863760876915218560

Bases of 13222007306606589120

• Binary: 1011011101111110000000011001011110010111111001111011010011000000₂
• Hexadecimal: 0xB77E019797E7B4C0
• Base-36: 2SGD6F2NLFAO0

Squares and roots of 13222007306606589120

• 13222007306606589120 squared (13222007306606589120²) is 174821477215958029189128171800502374400
• 13222007306606589120 cubed (13222007306606589120³) is 2311490849101154407749541974199433140086822917245206528000
• The square root of 13222007306606589120 is 3636207819.5018762045
• The cube root of 13222007306606589120 is 2364644.1697063151

Scales and comparisons

• 13,222,007,306,606,589,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 13,222,007,306,606,589,120 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 13222007306606589120 cubic inches would be around 197053.7 feet tall.

Recreational maths with 13222007306606589120

• 13222007306606589120 backwards is 02198560660370022231
• 13222007306606589120 is a Harshad number.
• The number of decimal digits it has is: 20
• The sum of 13222007306606589120's digits is 63
• More coming soon!