13288419907768320000
13,288,419,907,768,320,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13288419907768320000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
13288419907768320000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13288419907768320000:
215 × 3 × 54 × 73 × 251112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 25111 × 25111)See below for interesting mathematical facts about the number 13288419907768320000 from the Numbermatics database.
Names of 13288419907768320000
- Cardinal: 13288419907768320000 can be written as Thirteen quintillion, two hundred eighty-eight quadrillion, four hundred nineteen trillion, nine hundred seven billion, seven hundred sixty-eight million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 1.328841990776832 × 1019
Factors of 13288419907768320000
Divisors of 13288419907768320000
- Number of divisors d(n): 1920
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 280 294 300 320 336 343 350 375 384 392 400 420 448 480 490 500 512 525 560 588 600 625 640 672 686 700 735 750 768 784 800 840 875 896 960 980 1000 1024 1029 1050 1120 1176 1200 1225 1250 1280 1344 1372 1400 1470 1500 1536 1568 1600 1680 1715 1750 1792 1875 1920 1960 2000 2048 2058 2100 2240 2352 2400 2450 2500 2560 2625 2688 2744 2800 2940 3000 3072 3136 3200 3360 3430 3500 3584 3675 3750 3840 3920 4000 4096 4116 4200 4375 4480 4704 4800 4900 5000 5120 5145 5250 5376 5488 5600 5880 6000 6125 6144 6272 6400 6720 6860 7000 7168 7350 7500 7680 7840 8000 8192 8232 8400 8575 8750 8960 9408 9600 9800 10000 10240 10290 10500 10752 10976 11200 11760 12000 12250 12288 12544 12800 13125 13440 13720 14000 14336 14700 15000 15360 15680 16000 16384 16464 16800 17150 17500 17920 18375 18816 19200 19600 20000 20480 20580 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26576839815536640 27119224301568000 27684208141184000 29661651579840000 31639095018496000 33221049769420800 33899030376960000 34605260176480000 35435786420715520 37966914022195200 38741749002240000 39548868773120000 41526312211776000 44294733025894400 45198707169280000 47458642527744000 51907890264720000 53153679631073280 54238448603136000 55368416282368000 59323303159680000 63278190036992000 66442099538841600 67798060753920000 69210520352960000 75933828044390400 79097737546240000 83052624423552000 88589466051788800 90397414338560000 94917285055488000 103815780529440000 106307359262146560 110736832564736000 118646606319360000 126556380073984000 132884199077683200 135596121507840000 138421040705920000 158195475092480000 166105248847104000 177178932103577600 189834570110976000 207631561058880000 221473665129472000 237293212638720000 265768398155366400 271192243015680000 276842081411840000 316390950184960000 332210497694208000 379669140221952000 415263122117760000 442947330258944000 474586425277440000 531536796310732800 553684162823680000 632781900369920000 664420995388416000 830526244235520000 885894660517888000 949172850554880000 1107368325647360000 1328841990776832000 1661052488471040000 1898345701109760000 2214736651294720000 2657683981553664000 3322104976942080000 4429473302589440000 6644209953884160000 13288419907768320000
- Sum of all divisors σ(n): 51640404058100088000
- Sum of proper divisors (its aliquot sum) s(n): 38351984150331768000
- 13288419907768320000 is an abundant number, because the sum of its proper divisors (38351984150331768000) is greater than itself. Its abundance is 25063564242563448000
Bases of 13288419907768320000
- Binary: 10111000011010011111001110000000010001001100001010000000000000002
- Hexadecimal: 0xB869F38044C28000
- Base-36: 2SYJ3PYFUKKQO
Squares and roots of 13288419907768320000
- 13288419907768320000 squared (132884199077683200002) is 176582103645173406215482795622400000000
- 13288419907768320000 cubed (132884199077683200003) is 2346497141434131117493478744428192356649402368000000000000
-
The
square root of 13288419907768320000 is 3645328504.7809230329 -
The
cube root of 13288419907768320000 is 2368596.6700826145
Scales and comparisons
How big is 13288419907768320000?- 13,288,419,907,768,320,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,288,419,907,768,320,000 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 13288419907768320000 cubic inches would be around 197383.1 feet tall.
Recreational maths with 13288419907768320000
- 13288419907768320000 backwards is 00002386770991488231
- The number of decimal digits it has is: 20
- The sum of 13288419907768320000's digits is 78
- More coming soon!
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"Number 13288419907768320000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 13288419907768320000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/13288419907768320000/
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The information we have on file for 13288419907768320000 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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