13838671305932040960
13,838,671,305,932,040,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 13838671305932040960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
13838671305932040960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13838671305932040960:
28 × 3 × 5 × 7 × 127 × 4053791510221
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 127 × 4053791510221)See below for interesting mathematical facts about the number 13838671305932040960 from the Numbermatics database.
Names of 13838671305932040960
- Cardinal: 13838671305932040960 can be written as Thirteen quintillion, eight hundred thirty-eight quadrillion, six hundred seventy-one trillion, three hundred five billion, nine hundred thirty-two million, forty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.383867130593204096 × 1019
Factors of 13838671305932040960
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 4053791510365
Divisors of 13838671305932040960
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 127 128 140 160 168 192 210 224 240 254 256 280 320 336 381 384 420 448 480 508 560 635 640 672 762 768 840 889 896 960 1016 1120 1270 1280 1344 1524 1680 1778 1792 1905 1920 2032 2240 2540 2667 2688 3048 3360 3556 3810 3840 4064 4445 4480 5080 5334 5376 6096 6720 7112 7620 8128 8890 8960 10160 10668 12192 13335 13440 14224 15240 16256 17780 20320 21336 24384 26670 26880 28448 30480 32512 35560 40640 42672 48768 53340 56896 60960 71120 81280 85344 97536 106680 113792 121920 142240 162560 170688 213360 227584 243840 284480 341376 426720 487680 568960 682752 853440 1137920 1706880 3413760 4053791510221 8107583020442 12161374530663 16215166040884 20268957551105 24322749061326 28376540571547 32430332081768 40537915102210 48645498122652 56753081143094 60806872653315 64860664163536 81075830204420 85129621714641 97290996245304 113506162286188 121613745306630 129721328327072 141882702857735 162151660408840 170259243429282 194581992490608 227012324572376 243227490613260 259442656654144 283765405715470 324303320817680 340518486858564 389163984981216 425648108573205 454024649144752 486454981226520 514831521798067 518885313308288 567530811430940 648606641635360 681036973717128 778327969962432 851296217146410 908049298289504 972909962453040 1029663043596134 1037770626616576 1135061622861880 1297213283270720 1362073947434256 1544494565394201 1556655939924864 1702592434292820 1816098596579008 1945819924906080 2059326087192268 2270123245723760 2574157608990335 2594426566541440 2724147894868512 3088989130788402 3113311879849728 3405184868585640 3603820652586469 3632197193158016 3891639849812160 4118652174384536 4540246491447520 5148315217980670 5188853133082880 5448295789737024 6177978261576804 6810369737171280 7207641305172938 7264394386316032 7722472826971005 7783279699624320 8237304348769072 9080492982895040 10296630435961340 10811461957759407 10896591579474048 12355956523153608 13620739474342560 14415282610345876 15444945653942010 15566559399248640 16474608697538144 18019103262932345 18160985965790080 20593260871922680 21622923915518814 21793183158948096 24711913046307216 27241478948685120 28830565220691752 30889891307884020 32949217395076288 36038206525864690 36321971931580160 41186521743845360 43245847831037628 49423826092614432 54057309788797035 54482957897370240 57661130441383504 61779782615768040 65898434790152576 72076413051729380 82373043487690720 86491695662075256 98847652185228864 108114619577594070 108965915794740480 115322260882767008 123559565231536080 131796869580305152 144152826103458760 164746086975381440 172983391324150512 197695304370457728 216229239155188140 230644521765534016 247119130463072160 288305652206917520 329492173950762880 345966782648301024 395390608740915456 432458478310376280 461289043531068032 494238260926144320 576611304413835040 658984347901525760 691933565296602048 864916956620752560 922578087062136064 988476521852288640 1153222608827670080 1383867130593204096 1729833913241505120 1976953043704577280 2306445217655340160 2767734261186408192 3459667826483010240 4612890435310680320 6919335652966020480 13838671305932040960
- Sum of all divisors σ(n): 50908875859315310592
- Sum of proper divisors (its aliquot sum) s(n): 37070204553383269632
- 13838671305932040960 is an abundant number, because the sum of its proper divisors (37070204553383269632) is greater than itself. Its abundance is 23231533247451228672
Bases of 13838671305932040960
- Binary: 11000000000011001101011000111011011110010111100001101011000000002
- Hexadecimal: 0xC00CD63B79786B00
- Base-36: 2X513K9275UYO
Squares and roots of 13838671305932040960
- 13838671305932040960 squared (138386713059320409602) is 191508823513626820002342005951117721600
- 13838671305932040960 cubed (138386713059320409603) is 2650227660790830818160921664948602092057904162313076736000
-
The
square root of 13838671305932040960 is 3720036465.6723515727 -
The
cube root of 13838671305932040960 is 2400848.7337273315
Scales and comparisons
How big is 13838671305932040960?- 13,838,671,305,932,040,960 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 13,838,671,305,932,040,960 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 13838671305932040960 cubic inches would be around 200070.7 feet tall.
Recreational maths with 13838671305932040960
- 13838671305932040960 backwards is 06904023950317683831
- The number of decimal digits it has is: 20
- The sum of 13838671305932040960's digits is 78
- More coming soon!
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The information we have on file for 13838671305932040960 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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