13688061408000
13,688,061,408,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13688061408000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
13688061408000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13688061408000:
28 × 32 × 53 × 72 × 31 × 67 × 467
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 31 × 67 × 467)See below for interesting mathematical facts about the number 13688061408000 from the Numbermatics database.
Names of 13688061408000
- Cardinal: 13688061408000 can be written as Thirteen trillion, six hundred eighty-eight billion, sixty-one million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.3688061408 × 1013
Factors of 13688061408000
Divisors of 13688061408000
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 31 32 35 36 40 42 45 48 49 50 56 60 62 63 64 67 70 72 75 80 84 90 93 96 98 100 105 112 120 124 125 126 128 134 140 144 147 150 155 160 168 175 180 186 192 196 200 201 210 217 224 225 240 245 248 250 252 256 268 279 280 288 294 300 310 315 320 335 336 350 360 372 375 384 392 400 402 420 434 441 448 450 465 467 469 480 490 496 500 504 525 536 558 560 576 588 600 603 620 630 640 651 670 672 700 720 735 744 750 768 775 784 800 804 840 868 875 882 896 900 930 934 938 960 980 992 1000 1005 1008 1050 1072 1085 1116 1120 1125 1152 1176 1200 1206 1225 1240 1260 1280 1302 1340 1344 1395 1400 1401 1407 1440 1470 1488 1500 1519 1550 1568 1575 1600 1608 1675 1680 1736 1750 1764 1792 1800 1860 1868 1876 1920 1953 1960 1984 2000 2010 2016 2077 2100 2144 2170 2205 2232 2240 2250 2304 2325 2335 2345 2352 2400 2412 2450 2480 2520 2604 2625 2680 2688 2790 2800 2802 2814 2880 2940 2976 3000 3015 3038 3100 3136 3150 3200 3216 3255 3269 3283 3350 3360 3472 3500 3528 3600 3675 3720 3736 3752 3840 3875 3906 3920 3968 4000 4020 4032 4154 4200 4203 4221 4288 4340 4410 4464 4480 4500 4557 4650 4670 4690 4704 4800 4824 4900 4960 5025 5040 5208 5250 5360 5376 5425 5580 5600 5604 5628 5760 5880 5952 6000 6030 6076 6125 6200 6231 6272 6300 6400 6432 6510 6538 6566 6700 6720 6944 6975 7000 7005 7035 7056 7200 7350 7440 7472 7504 7595 7750 7812 7840 7875 7936 8000 8040 8064 8308 8375 8400 8406 8442 8576 8680 8820 8928 8960 9000 9114 9300 9340 9380 9408 9600 9648 9765 9800 9807 9849 9920 10050 10080 10385 10416 10500 10720 10850 11025 11160 11200 11208 11256 11520 11625 11675 11725 11760 11904 12000 12060 12152 12250 12400 12462 12544 12600 12864 13020 13076 13132 13400 13440 13671 13888 13950 14000 14010 14070 14112 14400 14477 14539 14700 14880 14944 15008 15075 15190 15500 15624 15680 15750 16000 16080 16128 16275 16345 16415 16616 16750 16800 16812 16884 17152 17360 17640 17856 18000 18228 18375 18600 18680 18693 18760 18816 19200 19296 19530 19600 19614 19698 19840 20100 20160 20770 20832 21000 21015 21105 21440 21700 22050 22320 22400 22416 22512 22785 22883 23250 23350 23450 23520 23808 24000 24120 24304 24500 24800 24924 25125 25200 25728 26040 26152 26264 26800 26880 27125 27342 27776 27900 28000 28020 28140 28224 28800 28954 29078 29400 29421 29547 29760 29888 30016 30150 30380 31000 31155 31248 31289 31360 31500 32000 32160 32550 32690 32830 33232 33500 33600 33624 33768 34720 34875 35025 35175 35280 35712 36000 36456 36750 37200 37360 37386 37520 37632 37975 38592 39060 39200 39228 39396 39680 40200 40320 41540 41664 42000 42030 42210 42880 43400 43431 43617 44100 44640 44800 44832 45024 45570 45766 46500 46700 46900 47040 48000 48240 48608 48825 49000 49035 49245 49600 49848 50250 50400 51456 51925 52080 52304 52528 53600 54250 54684 55125 55552 55800 56000 56040 56280 56448 57600 57908 58156 58375 58625 58800 58842 59094 59520 59776 60032 60300 60760 62000 62310 62496 62578 62720 63000 64320 65100 65380 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- Sum of all divisors σ(n): 60154545604608
- Sum of proper divisors (its aliquot sum) s(n): 46466484196608
- 13688061408000 is an abundant number, because the sum of its proper divisors (46466484196608) is greater than itself. Its abundance is 32778422788608
Bases of 13688061408000
- Binary: 110001110011000000000000100110110011000000002
- Hexadecimal: 0xC730009B300
- Base-36: 4UO7ICHS0
Squares and roots of 13688061408000
- 13688061408000 squared (136880614080002) is 187363025109178942464000000
- 13688061408000 cubed (136880614080003) is 2564636593283087268907730829312000000000
-
The
square root of 13688061408000 is 3699738.0188332255 -
The
cube root of 13688061408000 is 23921.0725536301
Scales and comparisons
How big is 13688061408000?- 13,688,061,408,000 seconds is equal to 435,238 years, 4 days, 16 hours.
-
To count from 1 to 13,688,061,408,000 would take you about one million, eighty-eight thousand and ninety-five 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 13688061408000 cubic inches would be around 1993.4 feet tall.
Recreational maths with 13688061408000
- 13688061408000 backwards is 00080416088631
- 13688061408000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13688061408000's digits is 45
- More coming soon!
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The information we have on file for 13688061408000 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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