1328131168308224

Names of 1328131168308224

• Cardinal: 1328131168308224 can be written as One quadrillion, three hundred twenty-eight trillion, one hundred thirty-one billion, one hundred sixty-eight million, three hundred eight thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.328131168308224 × 10¹⁵

Factors of 1328131168308224

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 427

Divisors of 1328131168308224

• Number of divisors d(n): 396
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 59 64 98 112 118 128 196 224 236 256 359 392 413 448 472 512 718 784 826 896 944 1024 1436 1568 1652 1792 1888 2513 2872 2891 3136 3304 3481 3584 3776 5026 5744 5782 6272 6608 6962 7168 7552 10052 11488 11564 12544 13216 13924 15104 17591 20104 21181 22976 23128 24367 25088 26432 27848 30208 35182 40208 42362 45952 46256 48734 50176 52864 55696 60416 70364 80416 84724 91904 92512 97468 105728 111392 128881 140728 148267 160832 169448 170569 183808 185024 194936 205379 211456 222784 257762 281456 296534 321664 338896 341138 367616 370048 389872 410758 422912 445568 515524 562912 593068 643328 677792 682276 740096 779744 821516 891136 902167 1031048 1037869 1125824 1186136 1249679 1286656 1355584 1364552 1437653 1480192 1559488 1643032 1782272 1804334 2062096 2075738 2251648 2372272 2499358 2573312 2711168 2729104 2875306 2960384 3118976 3286064 3564544 3608668 4124192 4151476 4503296 4744544 4998716 5422336 5458208 5750612 6237952 6315169 6572128 7217336 7603979 8248384 8302952 8747753 9006592 9489088 9997432 10063571 10844672 10916416 11501224 12475904 12630338 13144256 14434672 15207958 16496768 16605904 17495506 18013184 18978176 19994864 20127142 21689344 21832832 23002448 24951808 25260676 26288512 28869344 30415916 32993536 33211808 34991012 37956352 39989728 40254284 43665664 46004896 50521352 52577024 53227853 57738688 60831832 61234271 65987072 66423616 69982024 73731061 75912704 79979456 80508568 87331328 92009792 101042704 105154048 106455706 115477376 121663664 122468542 131974144 132847232 139964048 147462122 151825408 159958912 161017136 174662656 184019584 202085408 210308096 212911412 230954752 243327328 244937084 265694464 279928096 294924244 319917824 322034272 368039168 372594971 404170816 425822824 448634761 461909504 486654656 489874168 516117427 531388928 559856192 589848488 639835648 644068544 736078336 745189942 808341632 851645648 897269522 923819008 973309312 979748336 1032234854 1062777856 1119712384 1179696976 1279671296 1288137088 1472156672 1490379884 1616683264 1703291296 1794539044 1946618624 1959496672 2064469708 2239424768 2359393952 2576274176 2980759768 3140443327 3233366528 3406582592 3589078088 3612821989 3893237248 3918993344 4128939416 4478849536 4718787904 5152548352 5961519536 6280886654 6466733056 6813165184 7178156176 7225643978 7786474496 7837986688 8257878832 8957699072 9437575808 10305096704 11923039072 12561773308 13626330368 14356312352 14451287956 15675973376 16515757664 18875151616 21983103289 23846078144 25123546616 26469450899 27252660736 28712624704 28902575912 31351946752 33031515328 37750303232 43966206578 47692156288 50247093232 52938901798 54505321472 57425249408 57805151824 62703893504 66063030656 75500606464 87932413156 95384312576 100494186464 105877803596 114850498816 115610303648 132126061312 175864826312 185286156293 190768625152 200988372928 211755607192 229700997632 231220607296 264252122624 351729652624 370572312586 381537250304 401976745856 423511214384 459401995264 462441214592 528504245248 703459305248 741144625172 803953491712 847022428768 924882429184 1297003094051 1406918610496 1482289250344 1607906983424 1694044857536 1849764858368 2594006188102 2813837220992 2964578500688 3215813966848 3388089715072 3699529716736 5188012376204 5627674441984 5929157001376 6776179430144 10376024752408 11255348883968 11858314002752 13552358860288 20752049504816 22510697767936 23716628005504 27104717720576 41504099009632 47433256011008 83008198019264 94866512022016 166016396038528 189733024044032 332032792077056 664065584154112 1328131168308224
• Sum of all divisors σ(n): 3150453146699880
• Sum of proper divisors (its aliquot sum) s(n): 1822321978391656
• 1328131168308224 is an abundant number, because the sum of its proper divisors (1822321978391656) is greater than itself. Its abundance is 494190810083432

Bases of 1328131168308224

• Binary: 100101101111110110110100010100000001000110000000000₂
• Hexadecimal: 0x4B7EDA2808C00
• Base-36: D2S71AA328

Squares and roots of 1328131168308224

• 1328131168308224 squared (1328131168308224²) is 1763932400231768026346266034176
• 1328131168308224 cubed (1328131168308224³) is 2342733599536547839665357548561450299685863424
• The square root of 1328131168308224 is 36443533.9711755177
• The cube root of 1328131168308224 is 109920.9119746753

Scales and comparisons

• 1,328,131,168,308,224 seconds is equal to 42,230,462 years, 50 weeks, 4 days, 2 hours, 3 minutes, 44 seconds.
• To count from 1 to 1,328,131,168,308,224 would take you about one hundred twenty-six million, six hundred ninety-one thousand, three hundred eighty-eight 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 1328131168308224 cubic inches would be around 9160.1 feet tall.

Recreational maths with 1328131168308224

• 1328131168308224 backwards is 4228038611318231
• The number of decimal digits it has is: 16
• The sum of 1328131168308224's digits is 53
• More coming soon!