13638217824000
13,638,217,824,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13638217824000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3240 divisors.
13638217824000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 13638217824000:
28 × 32 × 53 × 74 × 112 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 163)See below for interesting mathematical facts about the number 13638217824000 from the Numbermatics database.
Names of 13638217824000
- Cardinal: 13638217824000 can be written as Thirteen trillion, six hundred thirty-eight billion, two hundred seventeen million, eight hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.3638217824 × 1013
Factors of 13638217824000
Divisors of 13638217824000
- Number of divisors d(n): 3240
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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 28 30 32 33 35 36 40 42 44 45 48 49 50 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 98 99 100 105 110 112 120 121 125 126 128 132 140 144 147 150 154 160 163 165 168 175 176 180 192 196 198 200 210 220 224 225 231 240 242 245 250 252 256 264 275 280 288 294 300 308 315 320 326 330 336 343 350 352 360 363 375 384 385 392 396 400 420 440 441 448 450 462 480 484 489 490 495 500 504 525 528 539 550 560 576 588 600 605 616 630 640 652 660 672 686 693 700 704 720 726 735 750 768 770 784 792 800 815 825 840 847 875 880 882 896 900 924 960 968 978 980 990 1000 1008 1029 1050 1056 1078 1089 1100 1120 1125 1141 1152 1155 1176 1200 1210 1225 1232 1260 1280 1304 1320 1344 1372 1375 1386 1400 1408 1440 1452 1467 1470 1500 1540 1568 1575 1584 1600 1617 1630 1650 1680 1694 1715 1750 1760 1764 1792 1793 1800 1815 1848 1920 1925 1936 1956 1960 1980 2000 2016 2058 2100 2112 2156 2178 2200 2205 2240 2250 2282 2304 2310 2352 2400 2401 2420 2445 2450 2464 2475 2520 2541 2608 2625 2640 2688 2695 2744 2750 2772 2800 2816 2880 2904 2934 2940 3000 3025 3080 3087 3136 3150 3168 3200 3234 3260 3300 3360 3388 3423 3430 3465 3500 3520 3528 3586 3600 3630 3675 3696 3773 3840 3850 3872 3912 3920 3960 4000 4032 4075 4116 4125 4200 4224 4235 4312 4356 4400 4410 4480 4500 4564 4620 4704 4800 4802 4840 4851 4890 4900 4928 4950 5040 5082 5145 5216 5250 5280 5376 5379 5390 5445 5488 5500 5544 5600 5705 5760 5775 5808 5868 5880 5929 6000 6050 6125 6160 6174 6272 6300 6336 6400 6468 6520 6600 6720 6776 6846 6860 6930 7000 7040 7056 7172 7200 7203 7260 7335 7350 7392 7546 7623 7700 7744 7824 7840 7875 7920 7987 8000 8064 8085 8150 8232 8250 8400 8448 8470 8575 8624 8712 8800 8820 8960 8965 9000 9075 9128 9240 9408 9600 9604 9625 9680 9702 9780 9800 9856 9900 10080 10164 10269 10290 10432 10500 10560 10758 10780 10890 10976 11000 11025 11088 11200 11319 11410 11520 11550 11616 11736 11760 11858 12000 12005 12100 12225 12250 12320 12348 12375 12544 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48707920800 49593519360 51659916000 53274288375 54119912000 54552871296 55666195200 56356272000 56825907600 59039904000 60614301440 60884901000 61991899200 64943894400 68191089120 68879888000 69582744000 71032384500 75767876800 77489874000 77932673280 81179868000 82655865600 83670048000 85238861400 88559856000 90921452160 92776992000 94709846000 97415841600 103319832000 106548576750 108239824000 109105742592 112712544000 113651815200 121769802000 123983798400 129887788800 136382178240 137759776000 139165488000 142064769000 151535753600 154979748000 162359736000 170477722800 177119712000 181842904320 189419692000 194831683200 206639664000 213097153500 216479648000 227303630400 243539604000 247967596800 272764356480 278330976000 284129538000 303071507200 309959496000 324719472000 340955445600 378839384000 389663366400 413279328000 426194307000 454607260800 487079208000 545528712960 568259076000 619918992000 649438944000 681910891200 757678768000 852388614000 909214521600 974158416000 1136518152000 1239837984000 1363821782400 1515357536000 1704777228000 1948316832000 2273036304000 2727643564800 3409554456000 4546072608000 6819108912000 13638217824000
- Sum of all divisors σ(n): 63313664218896
- Sum of proper divisors (its aliquot sum) s(n): 49675446394896
- 13638217824000 is an abundant number, because the sum of its proper divisors (49675446394896) is greater than itself. Its abundance is 36037228570896
Bases of 13638217824000
- Binary: 110001100111011001010010000011110111000000002
- Hexadecimal: 0xC676520F700
- Base-36: 4U1B6RI80
Squares and roots of 13638217824000
- 13638217824000 squared (136382178240002) is 186000985414871294976000000
- 13638217824000 cubed (136382178240003) is 2536721954566661729807644852224000000000
-
The
square root of 13638217824000 is 3692995.7790390173 -
The
cube root of 13638217824000 is 23892.0019128435
Scales and comparisons
How big is 13638217824000?- 13,638,217,824,000 seconds is equal to 433,653 years, 7 weeks, 2 days, 8 hours.
-
To count from 1 to 13,638,217,824,000 would take you about one million, eighty-four thousand, one hundred thirty-two 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 13638217824000 cubic inches would be around 1991 feet tall.
Recreational maths with 13638217824000
- 13638217824000 backwards is 00042871283631
- 13638217824000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13638217824000's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 13638217824000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13638217824000/
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The information we have on file for 13638217824000 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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