138414420648000
138,414,420,648,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138414420648000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2240 divisors.
138414420648000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 138414420648000:
26 × 34 × 53 × 7 × 173 × 6211
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 17 × 17 × 17 × 6211)See below for interesting mathematical facts about the number 138414420648000 from the Numbermatics database.
Names of 138414420648000
- Cardinal: 138414420648000 can be written as One hundred thirty-eight trillion, four hundred fourteen billion, four hundred twenty million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38414420648 × 1014
Factors of 138414420648000
Divisors of 138414420648000
- Number of divisors d(n): 2240
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 50 51 54 56 60 63 64 68 70 72 75 80 81 84 85 90 96 100 102 105 108 112 119 120 125 126 135 136 140 144 150 153 160 162 168 170 175 180 189 192 200 204 210 216 224 225 238 240 250 252 255 270 272 280 288 289 300 306 315 320 324 336 340 350 357 360 375 378 400 405 408 420 425 432 448 450 459 476 480 500 504 510 525 540 544 560 567 576 578 595 600 612 630 648 672 675 680 700 714 720 750 756 765 800 810 816 840 850 864 867 875 900 918 945 952 960 1000 1008 1020 1050 1071 1080 1088 1120 1125 1134 1156 1190 1200 1224 1260 1275 1296 1344 1350 1360 1377 1400 1428 1440 1445 1500 1512 1530 1575 1600 1620 1632 1680 1700 1728 1734 1750 1785 1800 1836 1890 1904 2000 2016 2023 2025 2040 2100 2125 2142 2160 2240 2250 2268 2295 2312 2380 2400 2448 2520 2550 2592 2601 2625 2700 2720 2754 2800 2835 2856 2880 2890 2975 3000 3024 3060 3150 3213 3240 3264 3360 3375 3400 3468 3500 3570 3600 3672 3780 3808 3825 4000 4032 4046 4050 4080 4200 4250 4284 4320 4335 4500 4536 4590 4624 4725 4760 4800 4896 4913 5040 5100 5184 5202 5250 5355 5400 5440 5508 5600 5670 5712 5780 5950 6000 6048 6069 6120 6211 6300 6375 6426 6480 6720 6750 6800 6885 6936 7000 7140 7200 7225 7344 7560 7616 7650 7803 7875 8000 8092 8100 8160 8400 8500 8568 8640 8670 8925 9000 9072 9180 9248 9450 9520 9639 9792 9826 10080 10115 10125 10200 10404 10500 10710 10800 11016 11200 11340 11424 11475 11560 11900 12000 12096 12138 12240 12422 12600 12750 12852 12960 13005 13500 13600 13770 13872 14000 14175 14280 14400 14450 14688 14739 14875 15120 15300 15606 15750 16065 16184 16200 16320 16800 17000 17136 17340 17850 18000 18144 18207 18360 18496 18633 18900 19040 19125 19278 19652 20160 20230 20250 20400 20808 21000 21420 21600 21675 22032 22680 22848 22950 23120 23409 23625 23800 24000 24276 24480 24565 24844 25200 25500 25704 25920 26010 26775 27000 27200 27540 27744 28000 28350 28560 28900 29376 29478 29750 30240 30345 30600 31055 31212 31500 32130 32368 32400 33600 34000 34272 34391 34425 34680 35700 36000 36125 36288 36414 36720 37266 37800 38080 38250 38556 39015 39304 40460 40500 40800 41616 42000 42840 43200 43350 43477 44064 44217 44625 45360 45900 46240 46818 47250 47600 48195 48552 48960 49130 49688 50400 50575 51000 51408 52020 53550 54000 54621 55080 55488 55899 56000 56700 57120 57375 57800 58956 59500 60480 60690 61200 62110 62424 63000 64260 64736 64800 65025 68000 68544 68782 68850 69360 70875 71400 72000 72250 72828 73440 73695 74532 75600 76500 77112 78030 78608 80325 80920 81000 81600 83232 84000 85680 86700 86954 88128 88434 89250 90720 91035 91800 92480 93165 93636 94500 95200 96390 97104 98260 99376 100800 101150 102000 102816 103173 104040 105587 107100 108000 108375 109242 110160 111798 113400 114240 114750 115600 117045 117912 119000 121380 122400 122825 124220 124848 126000 128520 129472 129600 130050 130431 132651 133875 136000 137564 137700 138720 141750 142800 144500 145656 146880 147390 149064 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102986920125 106801250500 108560329920 109852714800 113083677000 115345350540 116314639200 119735658000 122058572000 123035040576 123584304150 127219136625 128161500600 129238488000 131823257760 135700412400 137315893500 138414420648 144181688175 145393299000 146470286400 150778236000 153793800720 158187909312 159647544000 160201875750 162840494880 164779072200 169625515500 170882000800 173018025810 180933883200 183087858000 184552560864 192242250900 193857732000 197734886640 203550618600 205058400960 205973840250 213602501000 219705429600 226167354000 230690701080 232629278400 239471316000 240302813625 244117144000 247168608300 254438273250 256323001200 263646515520 271400824800 274631787000 276828841296 288363376350 290786598000 301556472000 307587601440 308960760375 320403751500 325680989760 329558144400 339251031000 341764001600 346036051620 366175716000 369105121728 384484501800 387715464000 395469773280 407101237200 411947680500 427205002000 432545064525 439410859200 452334708000 461381402160 478942632000 480605627250 494337216600 508876546500 512646002400 542801649600 549263574000 553657682592 576726752700 581573196000 615175202880 617921520750 640807503000 659116288800 678502062000 692072103240 720908440875 732351432000 768969003600 790939546560 814202474400 823895361000 854410004000 865090129050 904669416000 922762804320 961211254500 988674433200 1017753093000 1025292004800 1098527148000 1107315365184 1153453505400 1163146392000 1235843041500 1281615006000 1318232577600 1357004124000 1384144206480 1441816881750 1537938007200 1628404948800 1647790722000 1708820008000 1730180258100 1845525608640 1922422509000 1977348866400 2035506186000 2162725322625 2197054296000 2306907010800 2471686083000 2563230012000 2714008248000 2768288412960 2883633763500 3075876014400 3295581444000 3460360516200 3844845018000 3954697732800 4071012372000 4325450645250 4613814021600 4943372166000 5126460024000 5536576825920 5767267527000 6591162888000 6920721032400 7689690036000 8142024744000 8650901290500 9227628043200 9886744332000 11534535054000 13841442064800 15379380072000 17301802581000 19773488664000 23069070108000 27682884129600 34603605162000 46138140216000 69207210324000 138414420648000
- Sum of all divisors σ(n): 621878620746240
- Sum of proper divisors (its aliquot sum) s(n): 483464200098240
- 138414420648000 is an abundant number, because the sum of its proper divisors (483464200098240) is greater than itself. Its abundance is 345049779450240
Bases of 138414420648000
- Binary: 111110111100011000111100101111111100000010000002
- Hexadecimal: 0x7DE31E5FE040
- Base-36: 1D2APGAS00
Squares and roots of 138414420648000
- 138414420648000 squared (1384144206480002) is 19158551843321488739904000000
- 138414420648000 cubed (1384144206480003) is 2651819853848016331942667719137792000000000
-
The
square root of 138414420648000 is 11764965.8158449403 -
The
cube root of 138414420648000 is 51728.1698271311
Scales and comparisons
How big is 138414420648000?- 138,414,420,648,000 seconds is equal to 4,401,150 years, 22 weeks, 3 days, 12 hours.
-
To count from 1 to 138,414,420,648,000 would take you about eleven million, two thousand, eight hundred seventy-six 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 138414420648000 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138414420648000
- 138414420648000 backwards is 000846024414831
- 138414420648000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138414420648000's digits is 45
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The information we have on file for 138414420648000 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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