13734438379200
13,734,438,379,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 13734438379200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2646 divisors.
13734438379200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty-six divisors.
Prime factorization of 13734438379200:
26 × 32 × 52 × 76 × 112 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 67)See below for interesting mathematical facts about the number 13734438379200 from the Numbermatics database.
Names of 13734438379200
- Cardinal: 13734438379200 can be written as Thirteen trillion, seven hundred thirty-four billion, four hundred thirty-eight million, three hundred seventy-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.37344383792 × 1013
Factors of 13734438379200
Divisors of 13734438379200
- Number of divisors d(n): 2646
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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 67 70 72 75 77 80 84 88 90 96 98 99 100 105 110 112 120 121 126 132 134 140 144 147 150 154 160 165 168 175 176 180 192 196 198 200 201 210 220 224 225 231 240 242 245 252 264 268 275 280 288 294 300 308 315 320 330 335 336 343 350 352 360 363 385 392 396 400 402 420 440 441 448 450 462 469 480 484 490 495 504 525 528 536 539 550 560 576 588 600 603 605 616 630 660 670 672 686 693 700 704 720 726 735 737 770 784 792 800 804 825 840 847 880 882 900 924 938 960 968 980 990 1005 1008 1029 1050 1056 1072 1078 1089 1100 1120 1155 1176 1200 1206 1210 1225 1232 1260 1320 1340 1344 1372 1386 1400 1407 1440 1452 1470 1474 1540 1568 1575 1584 1600 1608 1617 1650 1675 1680 1694 1715 1760 1764 1800 1815 1848 1876 1925 1936 1960 1980 2010 2016 2058 2100 2112 2144 2156 2178 2200 2205 2211 2240 2310 2345 2352 2400 2401 2412 2420 2450 2464 2475 2520 2541 2640 2680 2695 2744 2772 2800 2814 2880 2904 2940 2948 3015 3025 3080 3087 3136 3150 3168 3216 3234 3283 3300 3350 3360 3388 3430 3465 3520 3528 3600 3630 3675 3685 3696 3752 3773 3850 3872 3920 3960 4020 4032 4116 4200 4221 4235 4288 4312 4356 4400 4410 4422 4620 4690 4704 4800 4802 4824 4840 4851 4900 4928 4950 5025 5040 5082 5145 5159 5280 5360 5390 5445 5488 5544 5600 5628 5775 5808 5880 5896 5929 6030 6050 6160 6174 6300 6336 6432 6468 6566 6600 6633 6700 6720 6776 6860 6930 7035 7056 7200 7203 7260 7350 7370 7392 7504 7546 7623 7700 7744 7840 7920 8040 8085 8107 8232 8400 8442 8470 8575 8624 8712 8800 8820 8844 9075 9240 9380 9408 9604 9648 9680 9702 9800 9849 9900 10050 10080 10164 10290 10318 10560 10720 10780 10890 10976 11025 11055 11088 11200 11256 11319 11550 11616 11725 11760 11792 11858 12005 12060 12100 12320 12348 12600 12705 12864 12936 13132 13200 13266 13400 13475 13552 13720 13860 14070 14112 14400 14406 14520 14700 14740 14784 15008 15075 15092 15246 15400 15435 15477 15680 15840 16080 16170 16214 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34165269600 34336095948 34682925200 35036832600 35673865920 37835918400 38151217720 39018290850 39241252512 40042094400 40876304700 40998323520 41619510240 42920119935 43601391680 44592332400 45781461264 46715776800 47689022150 49051565640 49943412288 51247904400 52024387800 54501739600 56058932160 56753877600 57226826580 59456443200 61041948352 61314457050 62429265360 65402087520 68330539200 68672191896 69365850400 70073665200 71533533225 76302435440 78036581700 78482505024 81752609400 83239020480 85840239870 89184664800 91562922528 93431553600 95378044300 98103131280 102495808800 104048775600 109003479200 113507755200 114453653160 122628914100 124858530720 130804175040 137344383792 138731700800 140147330400 143067066450 152604870880 156073163400 163505218800 171680479740 178369329600 183125845056 190756088600 196206262560 204991617600 208097551200 214600599675 218006958400 228907306320 245257828200 249717061440 274688767584 280294660800 286134132900 305209741760 312146326800 327010437600 343360959480 381512177200 392412525120 416195102400 429201199350 457814612640 490515656400 549377535168 572268265800 624292653600 654020875200 686721918960 763024354400 858402398700 915629225280 981031312800 1144536531600 1248585307200 1373443837920 1526048708800 1716804797400 1962062625600 2289073063200 2746887675840 3433609594800 4578146126400 6867219189600 13734438379200
- Sum of all divisors σ(n): 63533652475748
- Sum of proper divisors (its aliquot sum) s(n): 49799214096548
- 13734438379200 is an abundant number, because the sum of its proper divisors (49799214096548) is greater than itself. Its abundance is 36064775717348
Bases of 13734438379200
- Binary: 110001111101110011000101001000011110110000002
- Hexadecimal: 0xC7DCC521EC0
- Base-36: 4V9IHZXS0
Squares and roots of 13734438379200
- 13734438379200 squared (137344383792002) is 188634797592041922992640000
- 13734438379200 cubed (137344383792003) is 2590793003700764331645485735129088000000
-
The
square root of 13734438379200 is 3706000.3209929705 -
The
cube root of 13734438379200 is 23948.0580240623
Scales and comparisons
How big is 13734438379200?- 13,734,438,379,200 seconds is equal to 436,712 years, 34 weeks, 1 day, 4 hours.
-
To count from 1 to 13,734,438,379,200 would take you about one million, ninety-one thousand, seven hundred eighty-one 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 13734438379200 cubic inches would be around 1995.7 feet tall.
Recreational maths with 13734438379200
- 13734438379200 backwards is 00297383443731
- The number of decimal digits it has is: 14
- The sum of 13734438379200's digits is 54
- More coming soon!
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Cite this page
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Numbermatics. (2024). Number 13734438379200 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13734438379200/
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The information we have on file for 13734438379200 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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