13152314697984000
13,152,314,697,984,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13152314697984000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
13152314697984000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 13152314697984000:
211 × 33 × 53 × 7 × 11 × 31 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 31 × 797161)See below for interesting mathematical facts about the number 13152314697984000 from the Numbermatics database.
Names of 13152314697984000
- Cardinal: 13152314697984000 can be written as Thirteen quadrillion, one hundred fifty-two trillion, three hundred fourteen billion, six hundred ninety-seven million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3152314697984 × 1016
Factors of 13152314697984000
Divisors of 13152314697984000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 31 32 33 35 36 40 42 44 45 48 50 54 55 56 60 62 63 64 66 70 72 75 77 80 84 88 90 93 96 99 100 105 108 110 112 120 124 125 126 128 132 135 140 144 150 154 155 160 165 168 175 176 180 186 189 192 198 200 210 216 217 220 224 225 231 240 248 250 252 256 264 270 275 279 280 288 297 300 308 310 315 320 330 336 341 350 352 360 372 375 378 384 385 396 400 420 432 434 440 448 450 462 465 480 495 496 500 504 512 525 528 540 550 558 560 576 594 600 616 620 630 640 651 660 672 675 682 693 700 704 720 744 750 756 768 770 775 792 800 825 837 840 864 868 875 880 896 900 924 930 945 960 990 992 1000 1008 1023 1024 1050 1056 1080 1085 1100 1116 1120 1125 1152 1155 1188 1200 1232 1240 1260 1280 1302 1320 1344 1350 1364 1375 1386 1395 1400 1408 1440 1485 1488 1500 1512 1536 1540 1550 1575 1584 1600 1650 1674 1680 1705 1728 1736 1750 1760 1792 1800 1848 1860 1890 1920 1925 1953 1980 1984 2000 2016 2046 2048 2079 2100 2112 2160 2170 2200 2232 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54801311241600 56936427264000 58454731991040 58715690616000 59783248627200 60609745152000 60890345824000 62630069990400 65761573489920 66425831808000 68501639052000 69588966656000 70711369344000 73068414988800 74729060784000 75156083988480 78287587488000 79710998169600 82201966862400 84853643212800 85404640896000 87682097986560 91335518736000 93945104985600 97424553318400 99638747712000 102752458578000 104383449984000 105218517583872 106067054016000 109602622483200 117431381232000 119566497254400 121780691648000 125260139980800 131523146979840 132851663616000 137003278104000 141422738688000 146136829977600 149458121568000 156575174976000 164403933724800 170809281792000 175364195973120 182671037472000 187890209971200 199277495424000 205504917156000 208766899968000 212134108032000 219205244966400 234862762464000 239132994508800 243561383296000 263046293959680 274006556208000 292273659955200 298916243136000 313150349952000 328807867449600 365342074944000 375780419942400 398554990848000 411009834312000 424268216064000 438410489932800 469725524928000 487122766592000 526092587919360 548013112416000 597832486272000 626300699904000 657615734899200 730684149888000 822019668624000 876820979865600 939451049856000 1096026224832000 1195664972544000 1315231469798400 1461368299776000 1644039337248000 1878902099712000 2192052449664000 2630462939596800 3288078674496000 4384104899328000 6576157348992000 13152314697984000
- Sum of all divisors σ(n): 62575783383859200
- Sum of proper divisors (its aliquot sum) s(n): 49423468685875200
- 13152314697984000 is an abundant number, because the sum of its proper divisors (49423468685875200) is greater than itself. Its abundance is 36271153987891200
Bases of 13152314697984000
- Binary: 1011101011100111110101111001011000110000101000000000002
- Hexadecimal: 0x2EB9F5E58C2800
- Base-36: 3LI3TYKH6O0
Squares and roots of 13152314697984000
- 13152314697984000 squared (131523146979840002) is 172983381914805957133664256000000
- 13152314697984000 cubed (131523146979840003) is 2275131876465082039716413449471896059904000000000
-
The
square root of 13152314697984000 is 114683541.5305265151 -
The
cube root of 13152314697984000 is 236048.2204085557
Scales and comparisons
How big is 13152314697984000?- 13,152,314,697,984,000 seconds is equal to 418,202,924 years, 32 weeks.
-
To count from 1 to 13,152,314,697,984,000 would take you about one billion, two hundred fifty-four million, six hundred eight thousand, seven hundred seventy-three 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 13152314697984000 cubic inches would be around 19670.7 feet tall.
Recreational maths with 13152314697984000
- 13152314697984000 backwards is 00048979641325131
- 13152314697984000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13152314697984000's digits is 63
- More coming soon!
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Cite this page
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"Number 13152314697984000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 13152314697984000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13152314697984000/
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The information we have on file for 13152314697984000 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!
Keywords: Divisors of 13152314697984000, math, Factors of 13152314697984000, curriculum, school, college, exams, university, Prime factorization of 13152314697984000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred fifty-two trillion, three hundred fourteen billion, six hundred ninety-seven million, nine hundred eighty-four thousand.