40048231234782887820
40,048,231,234,782,887,820 is an even composite number composed of seven prime numbers multiplied together.
40048231234782887820 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 40048231234782887820:
22 × 32 × 5 × 11 × 23 × 43 × 20451344197681
(2 × 2 × 3 × 3 × 5 × 11 × 23 × 43 × 20451344197681)See below for interesting mathematical facts about the number 40048231234782887820 from the Numbermatics database.
Names of 40048231234782887820
- Cardinal: 40048231234782887820 can be written as Forty quintillion, forty-eight quadrillion, two hundred thirty-one trillion, two hundred thirty-four billion, seven hundred eighty-two million, eight hundred eighty-seven thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 4.004823123478288782 × 1019
Factors of 40048231234782887820
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 20451344197768
Divisors of 40048231234782887820
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 43 44 45 46 55 60 66 69 86 90 92 99 110 115 129 132 138 165 172 180 198 207 215 220 230 253 258 276 330 345 387 396 414 430 460 473 495 506 516 645 660 690 759 774 828 860 946 989 990 1012 1035 1265 1290 1380 1419 1518 1548 1892 1935 1978 1980 2070 2277 2365 2530 2580 2838 2967 3036 3795 3870 3956 4140 4257 4554 4730 4945 5060 5676 5934 7095 7590 7740 8514 8901 9108 9460 9890 10879 11385 11868 14190 14835 15180 17028 17802 19780 21285 21758 22770 28380 29670 32637 35604 42570 43516 44505 45540 54395 59340 65274 85140 89010 97911 108790 130548 163185 178020 195822 217580 326370 391644 489555 652740 979110 1958220 20451344197681 40902688395362 61354032593043 81805376790724 102256720988405 122708065186086 184062097779129 204513441976810 224964786174491 245416130372172 306770162965215 368124195558258 409026883953620 449929572348982 470380916546663 613540325930430 674894358523473 736248391116516 879407800500283 899859144697964 920310488895645 940761833093326 1124823930872455 1227080651860860 1349788717046946 1411142749639989 1758815601000566 1840620977791290 1881523666186652 2024683075570419 2249647861744910 2351904582733315 2638223401500849 2699577434093892 2822285499279978 3374471792617365 3517631202001132 3681241955582580 4049366151140838 4233428248919967 4397039002501415 4499295723489820 4703809165466630 5174190082013293 5276446803001698 5644570998559956 6748943585234730 7055713748199945 7914670204502547 8098732302281676 8466856497839934 8794078005002830 9407618330933260 9673485805503113 10123415377852095 10348380164026586 10552893606003396 13191117007504245 13497887170469460 14111427496399890 15522570246039879 15829340409005094 16933712995679868 17588156010005660 19346971611006226 20226379411506509 20246830755704190 20696760328053172 21167141244599835 25870950410066465 26382234015008490 28222854992799780 29020457416509339 31045140492079758 31658680818010188 38693943222012452 39573351022512735 40452758823013018 40493661511408380 42334282489199670 46567710738119637 48367429027515565 51741900820132930 52764468030016980 58040914833018678 60679138234519527 62090280984159516 77612851230199395 79146702045025470 80905517646026036 84668564978399340 87061372249528017 93135421476239274 96734858055031130 101131897057532545 103483801640265860 116081829666037356 121358276469039054 145102287082546695 155225702460398790 158293404090050940 174122744499056034 182037414703558581 186270842952478548 193469716110062260 202263794115065090 222490173526571599 232838553690598185 242716552938078108 290204574165093390 303395691172597635 310451404920797580 348245488998112068 364074829407117162 404527588230130180 435306861247640085 444980347053143198 465677107381196370 580409148330186780 606791382345195270 667470520579714797 728149658814234324 870613722495280170 889960694106286396 910187073517792905 931354214762392740 1112450867632857995 1213582764690390540 1334941041159429594 1741227444990560340 1820374147035585810 2002411561739144391 2224901735265715990 2669882082318859188 3337352602898573985 3640748294071171620 4004823123478288782 4449803470531431980 6674705205797147970 8009646246956577564 10012057808695721955 13349410411594295940 20024115617391443910 40048231234782887820
- Sum of all divisors σ(n): 141501050785472361984
- Sum of proper divisors (its aliquot sum) s(n): 101452819550689474164
- 40048231234782887820 is an abundant number, because the sum of its proper divisors (101452819550689474164) is greater than itself. Its abundance is 61404588315906586344
Bases of 40048231234782887820
- Binary: 1000101011110001111110011000011111100101111110111111111111100011002
- Hexadecimal: 0x22BC7E61F97EFFF8C
- Base-36: 8G9MX5FAD8QZ0
Squares and roots of 40048231234782887820
- 40048231234782887820 squared (400482312347828878202) is 1603860825034639707647897253098704352400
- 40048231234782887820 cubed (400482312347828878203) is 64231789189396910176655917951176234538779855756874947768000
-
The
square root of 40048231234782887820 is 6328367185.5213085305 -
The
cube root of 40048231234782887820 is 3421325.9121020627
Scales and comparisons
How big is 40048231234782887820?- 40,048,231,234,782,887,820 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 40,048,231,234,782,887,820 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 40048231234782887820 cubic inches would be around 285110.5 feet tall.
Recreational maths with 40048231234782887820
- 40048231234782887820 backwards is 02878828743213284004
- The number of decimal digits it has is: 20
- The sum of 40048231234782887820's digits is 81
- More coming soon!
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