12838463431631279005116
12,838,463,431,631,279,005,116 is an even composite number composed of six prime numbers multiplied together.
What does the number 12838463431631279005116 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
12838463431631279005116 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 12838463431631279005116:
22 × 3 × 72 × 192 × 373 × 1036
(2 × 2 × 3 × 7 × 7 × 19 × 19 × 37 × 37 × 37 × 103 × 103 × 103 × 103 × 103 × 103)See below for interesting mathematical facts about the number 12838463431631279005116 from the Numbermatics database.
Names of 12838463431631279005116
- Cardinal: 12838463431631279005116 can be written as Twelve sextillion, eight hundred thirty-eight quintillion, four hundred sixty-three quadrillion, four hundred thirty-one trillion, six hundred thirty-one billion, two hundred seventy-nine million, five thousand, one hundred sixteen.
Scientific notation
- Scientific notation: 1.2838463431631279005116 × 1022
Factors of 12838463431631279005116
Divisors of 12838463431631279005116
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 7 12 14 19 21 28 37 38 42 49 57 74 76 84 98 103 111 114 133 147 148 196 206 222 228 259 266 294 309 361 399 412 444 518 532 588 618 703 721 722 777 798 931 1036 1083 1236 1369 1406 1442 1444 1554 1596 1813 1862 1957 2109 2163 2166 2527 2738 2793 2812 2884 3108 3626 3724 3811 3914 4107 4218 4326 4332 4921 5047 5054 5439 5476 5586 5871 7252 7581 7622 7828 8214 8436 8652 9583 9842 10094 10108 10609 10878 11172 11433 11742 13357 13699 14763 15141 15162 15244 16428 17689 19166 19684 20188 21218 21756 22866 23484 26011 26677 26714 27398 28749 29526 30282 30324 31827 34447 35378 37183 38332 40071 41097 42436 45732 50653 52022 53067 53354 53428 54796 57498 59052 60564 63654 67081 68894 70756 72409 74263 74366 78033 80031 80142 82194 93499 95893 101306 103341 104044 106134 106708 111549 114996 127308 134162 137788 141007 144818 148526 148732 151959 156066 160062 160284 164388 182077 186739 186998 191786 201243 201571 202612 206682 212268 217227 222789 223098 260281 268324 280497 282014 287679 289636 297052 303918 312132 320124 354571 364154 373478 373996 383572 392533 402486 403142 413364 423021 434454 445578 446196 494209 506863 519841 520562 546231 560217 560994 564028 575358 604713 607836 654493 709142 728308 746956 780843 785066 804972 806284 846042 868908 891156 962407 987049 988418 1013726 1039682 1041124 1063713 1092462 1092727 1120434 1121988 1150716 1177599 1209426 1274539 1308986 1375771 1410997 1418284 1482627 1520589 1559523 1561686 1570132 1692084 1821967 1924814 1963479 1974098 1976836 2027452 2079364 2127426 2184924 2185454 2240868 2355198 2418852 2481997 2549078 2617972 2679133 2747731 2751542 2821994 2887221 2961147 2965254 3041178 3119046 3123372 3278181 3459463 3548041 3643934 3823617 3829849 3849628 3926958 3948196 4127313 4232991 4254852 4370908 4710396 4963994 5098156 5217259 5358266 5465901 5495462 5503084 5643988 5774442 5922294 5930508 6082356 6238092 6556362 6736849 6909343 6918926 7096082 7287868 7445991 7458127 7647234 7649089 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10387106336271261331 11854536871312353652 12392339219721311781 13789971462547023636 16088300039638194242 16523118959628415708 17781805306968530478 17806468005036447996 18262394639589301572 20774212672542522662 21834121482366120757 24132450059457291363 24784678439442623562 28915458179349727489 31161319008813783993 32176600079276388484 35563610613937060956 41548425345085045324 43668242964732241514 48264900118914582726 49569356878885247124 56309050138733679847 57830916358699454978 62322638017627567986 65502364447098362271 86746374538049182467 87336485929464483028 96529800237829165452 112618100277467359694 115661832717398909956 124645276035255135972 131004728894196724542 152838850376562845299 168927150416201039541 173492749076098364934 225236200554934719388 262009457788393449084 305677700753125690598 337854300832402079082 346985498152196729868 458516551129688535897 611355401506251381196 675708601664804158164 917033102259377071794 1069871952635939917093 1834066204518754143588 2139743905271879834186 3209615857907819751279 4279487810543759668372 6419231715815639502558 12838463431631279005116
- Sum of all divisors σ(n): 38170023527082409840080
- Sum of proper divisors (its aliquot sum) s(n): 25331560095451130834964
- 12838463431631279005116 is an abundant number, because the sum of its proper divisors (25331560095451130834964) is greater than itself. Its abundance is 12493096663819851829848
Bases of 12838463431631279005116
- Binary: 101011011111111001011110001010010111111001011000001110100010011101101111002
- Hexadecimal: 0x2B7F978A5F960E89DBC
- Base-36: 239GMJQ4VV98NGC
Squares and roots of 12838463431631279005116
- 12838463431631279005116 squared (128384634316312790051162) is 164826143285333596605278169008292246754173456
- 12838463431631279005116 cubed (128384634316312790051163) is 2116114413145572862402842170974747623200273195372038535524575400896
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The
square root of 12838463431631279005116 is 113306943439.6289723033 -
The
cube root of 12838463431631279005116 is 23415549.2578934617 - Being both a perfect square and a perfect cube, 12838463431631279005116 is also a
perfect sixth number .
Scales and comparisons
How big is 12838463431631279005116?- 12,838,463,431,631,279,005,116 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 12,838,463,431,631,279,005,116 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 12838463431631279005116 cubic inches would be around 1951295.8 feet tall.
Recreational maths with 12838463431631279005116
- 12838463431631279005116 backwards is 61150097213613436483821
- 12838463431631279005116 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 12838463431631279005116's digits is 84
- More coming soon!
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The information we have on file for 12838463431631279005116 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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