137944344384000
137,944,344,384,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137944344384000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
137944344384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 137944344384000:
29 × 33 × 53 × 7 × 112 × 3072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 307 × 307)See below for interesting mathematical facts about the number 137944344384000 from the Numbermatics database.
Names of 137944344384000
- Cardinal: 137944344384000 can be written as One hundred thirty-seven trillion, nine hundred forty-four billion, three hundred forty-four million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.37944344384 × 1014
Factors of 137944344384000
Divisors of 137944344384000
- Number of divisors d(n): 2880
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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 27 28 30 32 33 35 36 40 42 44 45 48 50 54 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 99 100 105 108 110 112 120 121 125 126 128 132 135 140 144 150 154 160 165 168 175 176 180 189 192 198 200 210 216 220 224 225 231 240 242 250 252 256 264 270 275 280 288 297 300 307 308 315 320 330 336 350 352 360 363 375 378 384 385 396 400 420 432 440 448 450 462 480 484 495 500 504 512 525 528 540 550 560 576 594 600 605 614 616 630 640 660 672 675 693 700 704 720 726 750 756 768 770 792 800 825 840 847 864 875 880 896 900 921 924 945 960 968 990 1000 1008 1050 1056 1080 1089 1100 1120 1125 1152 1155 1188 1200 1210 1228 1232 1260 1280 1320 1344 1350 1375 1386 1400 1408 1440 1452 1485 1500 1512 1535 1536 1540 1575 1584 1600 1650 1680 1694 1728 1750 1760 1792 1800 1815 1842 1848 1890 1920 1925 1936 1980 2000 2016 2079 2100 2112 2149 2160 2178 2200 2240 2250 2304 2310 2376 2400 2420 2456 2464 2475 2520 2541 2560 2625 2640 2688 2700 2750 2763 2772 2800 2816 2880 2904 2970 3000 3024 3025 3070 3080 3150 3168 3200 3267 3300 3360 3375 3377 3388 3456 3465 3500 3520 3584 3600 3630 3684 3696 3780 3840 3850 3872 3960 4000 4032 4125 4158 4200 4224 4235 4298 4320 4356 4400 4480 4500 4605 4608 4620 4725 4752 4800 4840 4912 4928 4950 5040 5082 5250 5280 5376 5400 5445 5500 5526 5544 5600 5632 5760 5775 5808 5940 6000 6048 6050 6140 6160 6300 6336 6400 6447 6534 6600 6720 6750 6754 6776 6912 6930 7000 7040 7200 7260 7368 7392 7425 7560 7623 7675 7680 7700 7744 7875 7920 8000 8064 8250 8289 8316 8400 8448 8470 8596 8640 8712 8800 8960 9000 9075 9210 9240 9450 9504 9600 9625 9680 9824 9856 9900 10080 10131 10164 10395 10500 10560 10745 10752 10800 10890 11000 11052 11088 11200 11520 11550 11616 11880 12000 12096 12100 12280 12320 12375 12600 12672 12705 12800 12894 13068 13200 13440 13500 13508 13552 13815 13824 13860 14000 14080 14400 14520 14736 14784 14850 15120 15125 15246 15350 15400 15488 15750 15840 16000 16128 16335 16500 16578 16632 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31931561200 32095008000 32572454400 32657278500 32843891520 33175648000 33441053184 34212387000 34486086096 34834430400 35626122000 35829699840 35923006350 36493212800 37322604000 37444176000 38001196800 38317873440 38488935375 39188734200 39412669824 39810777600 39914451500 40715568000 40848192000 40872398336 41054864400 41801316480 42223552000 43107607620 43543038000 43791855360 44787124800 44933011200 45601436160 45616516000 45981448128 46445907200 47501496000 47897341800 48985917750 49265837280 49763472000 49925568000 50161579776 51090497920 51318580500 52251645600 52550226432 53884509525 54287424000 54739819200 55735088640 55983906000 56166264000 57001795200 57476810160 58057384000 59716166400 59871677250 61308597504 61582296600 62701974720 63335328000 63863122400 64190016000 65314557000 65687783040 66351296000 68424774000 68972172192 69668860800 71252244000 71659399680 71846012700 72986425600 74645208000 74888352000 76002393600 76635746880 76977870750 78377468400 78825339648 79828903000 81431136000 82109728800 83602632960 86215215240 87086076000 87583710720 89574249600 89807515875 89866022400 91233032000 91962896256 92891814400 95002992000 95794683600 97971835500 98531674560 99526944000 100323159552 102180995840 102637161000 104503291200 107769019050 109479638400 111967812000 112332528000 114003590400 114953620320 116114768000 119432332800 119743354500 122617195008 123164593200 125403949440 126670656000 127726244800 130629114000 131375566080 136849548000 137944344384 139337721600 142504488000 143692025400 145972851200 149290416000 149776704000 153271493760 153955741500 156754936800 157650679296 159657806000 162862272000 164219457600 167205265920 172430430480 174172152000 179148499200 179615031750 182466064000 183925792512 190005984000 191589367200 195943671000 197063349120 199053888000 204361991680 205274322000 209006582400 215538038100 218959276800 223935624000 224665056000 228007180800 229907240640 232229536000 239486709000 246329186400 250807898880 255452489600 261258228000 262751132160 269422547625 273699096000 275888688768 278675443200 285008976000 287384050800 298580832000 306542987520 307911483000 313509873600 319315612000 328438915200 344860860960 348344304000 358296998400 359230063500 364932128000 367851585024 380011968000 383178734400 391887342000 394126698240 410548644000 418013164800 431076076200 437918553600 447871248000 449330112000 459814481280 464459072000 478973418000 492658372800 501615797760 510904979200 522516456000 538845095250 547398192000 551777377536 570017952000 574768101600 597161664000 613085975040 615822966000 627019747200 638631224000 656877830400 689721721920 696688608000 718460127000 729864256000 766357468800 783774684000 788253396480 821097288000 836026329600 862152152400 895742496000 919628962560 957946836000 985316745600 1021809958400 1045032912000 1077690190500 1094796384000 1103554755072 1140035904000 1149536203200 1231645932000 1254039494400 1277262448000 1313755660800 1379443443840 1393377216000 1436920254000 1532714937600 1567549368000 1642194576000 1724304304800 1791484992000 1839257925120 1915893672000 1970633491200 2090065824000 2155380381000 2189592768000 2299072406400 2463291864000 2508078988800 2554524896000 2758886887680 2873840508000 3065429875200 3135098736000 3284389152000 3448608609600 3831787344000 3941266982400 4180131648000 4310760762000 4598144812800 4926583728000 5109049792000 5517773775360 5747681016000 6270197472000 6568778304000 6897217219200 7663574688000 8621521524000 9196289625600 9853167456000 11495362032000 12540394944000 13794434438400 15327149376000 17243043048000 19706334912000 22990724064000 27588868876800 34486086096000 45981448128000 68972172192000 137944344384000
- Sum of all divisors σ(n): 642237316680960
- Sum of proper divisors (its aliquot sum) s(n): 504292972296960
- 137944344384000 is an abundant number, because the sum of its proper divisors (504292972296960) is greater than itself. Its abundance is 366348627912960
Bases of 137944344384000
- Binary: 111110101110101101010111010010101010010000000002
- Hexadecimal: 0x7D75ABA55200
- Base-36: 1CWAR911C0
Squares and roots of 137944344384000
- 137944344384000 squared (1379443443840002) is 19028642147531592339456000000
- 137944344384000 cubed (1379443443840003) is 2624893565558995309193814695215104000000000
-
The
square root of 137944344384000 is 11744971.0252516161 -
The
cube root of 137944344384000 is 51669.5445193989
Scales and comparisons
How big is 137944344384000?- 137,944,344,384,000 seconds is equal to 4,386,203 years, 24 weeks.
-
To count from 1 to 137,944,344,384,000 would take you about ten million, nine hundred sixty-five thousand, five hundred 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 137944344384000 cubic inches would be around 4305.8 feet tall.
Recreational maths with 137944344384000
- 137944344384000 backwards is 000483443449731
- 137944344384000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137944344384000's digits is 54
- More coming soon!
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"Number 137944344384000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 137944344384000 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/137944344384000/
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The information we have on file for 137944344384000 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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