13507134412800
13,507,134,412,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13507134412800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
13507134412800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13507134412800:
211 × 3 × 52 × 7 × 17 × 192 × 23 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 19 × 19 × 23 × 89)See below for interesting mathematical facts about the number 13507134412800 from the Numbermatics database.
Names of 13507134412800
- Cardinal: 13507134412800 can be written as Thirteen trillion, five hundred seven billion, one hundred thirty-four million, four hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.35071344128 × 1013
Factors of 13507134412800
Divisors of 13507134412800
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 19 20 21 23 24 25 28 30 32 34 35 38 40 42 46 48 50 51 56 57 60 64 68 69 70 75 76 80 84 85 89 92 95 96 100 102 105 112 114 115 119 120 128 133 136 138 140 150 152 160 161 168 170 175 178 184 190 192 200 204 210 224 228 230 238 240 255 256 266 267 272 276 280 285 300 304 320 322 323 336 340 345 350 356 357 361 368 380 384 391 399 400 408 420 425 437 445 448 456 460 475 476 480 483 510 512 525 532 534 544 552 560 570 575 595 600 608 623 640 644 646 665 672 680 690 700 712 714 722 736 760 768 782 798 800 805 816 840 850 874 890 896 912 920 950 952 960 966 969 1020 1024 1050 1064 1068 1083 1088 1104 1120 1140 1150 1173 1190 1200 1216 1246 1275 1280 1288 1292 1311 1330 1335 1344 1360 1380 1400 1424 1425 1428 1444 1472 1513 1520 1536 1564 1596 1600 1610 1615 1632 1680 1691 1700 1725 1748 1780 1785 1792 1805 1824 1840 1869 1900 1904 1920 1932 1938 1955 1995 2040 2047 2048 2100 2128 2136 2166 2176 2185 2208 2225 2240 2261 2280 2300 2346 2380 2400 2415 2432 2492 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73408339200 75882777600 77183625216 79453731840 80399609600 83895244800 84419590080 88862726400 90047562752 96479531520 97877785600 99317164800 101557401600 105524487600 112559453440 113505331200 117453342720 118483635200 120599414400 128639375360 132422886400 135071344128 140699316800 142180362240 146816678400 151765555200 158907463680 160799219200 168839180160 177725452800 180095125504 192959063040 195755571200 198634329600 211048975200 225118906880 236967270400 241198828800 264845772800 270142688256 281398633600 293633356800 321598438400 337678360320 355450905600 385918126080 397268659200 422097950400 450237813760 482397657600 540285376512 562797267200 587266713600 643196876800 675356720640 710901811200 794537318400 844195900800 900475627520 964795315200 1125594534400 1350713441280 1688391801600 1929590630400 2251189068800 2701426882560 3376783603200 4502378137600 6753567206400 13507134412800
- Sum of all divisors σ(n): 60175098547200
- Sum of proper divisors (its aliquot sum) s(n): 46667964134400
- 13507134412800 is an abundant number, because the sum of its proper divisors (46667964134400) is greater than itself. Its abundance is 33160829721600
Bases of 13507134412800
- Binary: 110001001000110111111111001011011000000000002
- Hexadecimal: 0xC48DFF2D800
- Base-36: 4SD3B32TC
Squares and roots of 13507134412800
- 13507134412800 squared (135071344128002) is 182442680045446000803840000
- 13507134412800 cubed (135071344128003) is 2464277802005303545381683726385152000000
-
The
square root of 13507134412800 is 3675205.3565481207 -
The
cube root of 13507134412800 is 23815.2095498731
Scales and comparisons
How big is 13507134412800?- 13,507,134,412,800 seconds is equal to 429,485 years, 4 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 13,507,134,412,800 would take you about one million, seventy-three thousand, seven hundred twelve 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 13507134412800 cubic inches would be around 1984.6 feet tall.
Recreational maths with 13507134412800
- 13507134412800 backwards is 00821443170531
- The number of decimal digits it has is: 14
- The sum of 13507134412800's digits is 39
- More coming soon!
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Cite this page
MLA style:
"Number 13507134412800 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13507134412800 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13507134412800/
Chicago style:
Numbermatics. 2024. "Number 13507134412800 - Facts about the integer". https://numbermatics.com/n/13507134412800/
The information we have on file for 13507134412800 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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