138364007544000
138,364,007,544,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138364007544000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2352 divisors.
138364007544000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred fifty-two divisors.
Prime factorization of 138364007544000:
26 × 36 × 53 × 73 × 2632
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 263 × 263)See below for interesting mathematical facts about the number 138364007544000 from the Numbermatics database.
Names of 138364007544000
- Cardinal: 138364007544000 can be written as One hundred thirty-eight trillion, three hundred sixty-four billion, seven million, five hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38364007544 × 1014
Factors of 138364007544000
Divisors of 138364007544000
- Number of divisors d(n): 2352
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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 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 125 126 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 243 245 250 252 263 270 280 288 294 300 315 320 324 336 343 350 360 375 378 392 400 405 420 432 441 448 450 480 486 490 500 504 525 526 540 560 567 576 588 600 630 648 672 675 686 700 720 729 735 750 756 784 789 800 810 840 864 875 882 900 945 960 972 980 1000 1008 1029 1050 1052 1080 1120 1125 1134 1176 1200 1215 1225 1260 1296 1315 1323 1344 1350 1372 1400 1440 1458 1470 1500 1512 1568 1575 1578 1600 1620 1680 1701 1715 1728 1750 1764 1800 1841 1890 1944 1960 2000 2016 2025 2058 2100 2104 2160 2205 2240 2250 2268 2352 2367 2400 2430 2450 2520 2592 2625 2630 2646 2700 2744 2800 2835 2880 2916 2940 3000 3024 3087 3136 3150 3156 3240 3360 3375 3402 3430 3500 3528 3600 3645 3675 3682 3780 3888 3920 3945 3969 4000 4032 4050 4116 4200 4208 4320 4410 4500 4536 4704 4725 4734 4800 4860 4900 5040 5103 5145 5184 5250 5260 5292 5400 5488 5523 5600 5670 5832 5880 6000 6048 6075 6125 6174 6300 6312 6480 6575 6615 6720 6750 6804 6860 7000 7056 7101 7200 7290 7350 7364 7560 7776 7840 7875 7890 7938 8000 8100 8232 8400 8416 8505 8575 8640 8820 9000 9072 9205 9261 9408 9450 9468 9720 9800 10080 10125 10206 10290 10500 10520 10584 10800 10976 11025 11046 11200 11340 11664 11760 11835 11907 12000 12096 12150 12250 12348 12600 12624 12887 12960 13150 13230 13500 13608 13720 14000 14112 14175 14202 14400 14580 14700 14728 15120 15435 15552 15680 15750 15780 15876 16200 16464 16569 16800 16832 17010 17150 17640 18000 18144 18225 18375 18410 18522 18900 18936 19440 19600 19725 19845 20160 20250 20412 20580 21000 21040 21168 21303 21600 21952 22050 22092 22680 23328 23520 23625 23670 23814 24000 24300 24500 24696 25200 25248 25515 25725 25774 25920 26300 26460 27000 27216 27440 27615 27783 28000 28224 28350 28404 29160 29400 29456 30240 30375 30870 31500 31560 31752 32400 32875 32928 33075 33138 33600 34020 34300 35280 35505 35721 36000 36288 36450 36750 36820 37044 37800 37872 38661 38880 39200 39450 39690 40500 40824 41160 42000 42080 42336 42525 42606 42875 43200 44100 44184 45360 46025 46305 46656 47040 47250 47340 47628 48600 49000 49392 49707 50400 50496 51030 51450 51548 52600 52920 54000 54432 54880 55125 55230 55566 56000 56700 56808 58320 58800 58912 59175 59535 60480 60750 61740 63000 63120 63504 63909 64435 64800 65750 65856 66150 66276 68040 68600 69169 70560 70875 71010 71442 72000 72900 73500 73640 74088 75600 75744 77175 77322 77760 78400 78900 79380 81000 81648 82320 82845 83349 84000 84160 84672 85050 85212 85750 88200 88368 90209 90720 91125 92050 92610 94500 94680 95256 97200 98000 98625 98784 99225 99414 100800 102060 102900 103096 105200 105840 106515 108000 108864 109760 110250 110460 111132 113400 113616 115983 116640 117600 117824 118350 119070 121500 123480 126000 126240 127008 127575 127818 128625 128870 129600 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86477504715 87683148000 87850163520 88242351750 91510587000 92242671696 94125175200 94899868000 96086116350 98831433960 100848402000 102491857440 102949410375 104583528000 105219777600 106762351500 109812704400 112950210240 113879841600 115303339620 117656469000 122014116000 122990228928 123539292450 128114821800 131524722000 131775245280 134464536000 137265880500 138364007544 141187762800 142349802000 144129174525 146416939200 153737786160 156875292000 158130294336 160143527250 164719056600 170819762400 172955009430 175366296000 176484703500 183021174000 184485343392 188250350400 189799736000 192172232700 197662867920 201696804000 204983714880 205898820750 213524703000 219625408800 230606679240 235312938000 240215290875 244028232000 247078584900 256229643600 263049444000 263550490560 274531761000 276728015088 282375525600 284699604000 288258349050 307475572320 308848231125 313750584000 320287054500 329438113200 341639524800 345910018860 352969407000 366042348000 368970686784 384344465400 395325735840 403393608000 411797641500 427049406000 432387523575 439250817600 461213358480 470625876000 480430581750 494157169800 512459287200 526098888000 549063522000 553456030176 564751051200 569399208000 576516698100 614951144640 617696462250 640574109000 658876226400 691820037720 705938814000 720645872625 732084696000 768688930800 790651471680 823595283000 854098812000 864775047150 922426716960 941251752000 960861163500 988314339600 1024918574400 1098127044000 1106912060352 1153033396200 1235392924500 1281148218000 1317752452800 1383640075440 1411877628000 1441291745250 1537377861600 1647190566000 1708197624000 1729550094300 1844853433920 1921722327000 1976628679200 2161937617875 2196254088000 2306066792400 2470785849000 2562296436000 2767280150880 2823755256000 2882583490500 3074755723200 3294381132000 3459100188600 3843444654000 3953257358400 4323875235750 4612133584800 4941571698000 5124592872000 5534560301760 5765166981000 6588762264000 6918200377200 7686889308000 8647750471500 9224267169600 9883143396000 11530333962000 13836400754400 15373778616000 17295500943000 19766286792000 23060667924000 27672801508800 34591001886000 46121335848000 69182003772000 138364007544000
- Sum of all divisors σ(n): 601415203771200
- Sum of proper divisors (its aliquot sum) s(n): 463051196227200
- 138364007544000 is an abundant number, because the sum of its proper divisors (463051196227200) is greater than itself. Its abundance is 324687188683200
Bases of 138364007544000
- Binary: 111110111010111011000011000010011110100110000002
- Hexadecimal: 0x7DD76184F4C0
- Base-36: 1D1NJPN000
Squares and roots of 138364007544000
- 138364007544000 squared (1383640075440002) is 19144598583636088911936000000
- 138364007544000 cubed (1383640075440003) is 2648923382853075521161767455645184000000000
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The
square root of 138364007544000 is 11762823.1111413045 -
The
cube root of 138364007544000 is 51721.8889443123
Scales and comparisons
How big is 138364007544000?- 138,364,007,544,000 seconds is equal to 4,399,547 years, 23 weeks, 3 days, 12 hours.
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To count from 1 to 138,364,007,544,000 would take you about ten million, nine hundred ninety-eight thousand, eight hundred sixty-eight 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 138364007544000 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138364007544000
- 138364007544000 backwards is 000445700463831
- 138364007544000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138364007544000's digits is 45
- More coming soon!
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The information we have on file for 138364007544000 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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