137983813632000
137,983,813,632,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137983813632000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2640 divisors.
137983813632000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 137983813632000:
214 × 310 × 53 × 7 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 163)See below for interesting mathematical facts about the number 137983813632000 from the Numbermatics database.
Names of 137983813632000
- Cardinal: 137983813632000 can be written as One hundred thirty-seven trillion, nine hundred eighty-three billion, eight hundred thirteen million, six hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.37983813632 × 1014
Factors of 137983813632000
Divisors of 137983813632000
- Number of divisors d(n): 2640
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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 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 162 163 168 175 180 189 192 200 210 216 224 225 240 243 250 252 256 270 280 288 300 315 320 324 326 336 350 360 375 378 384 400 405 420 432 448 450 480 486 489 500 504 512 525 540 560 567 576 600 630 640 648 652 672 675 700 720 729 750 756 768 800 810 815 840 864 875 896 900 945 960 972 978 1000 1008 1024 1050 1080 1120 1125 1134 1141 1152 1200 1215 1260 1280 1296 1304 1344 1350 1400 1440 1458 1467 1500 1512 1536 1575 1600 1620 1630 1680 1701 1728 1750 1792 1800 1890 1920 1944 1956 2000 2016 2025 2048 2100 2160 2187 2240 2250 2268 2282 2304 2400 2430 2445 2520 2560 2592 2608 2625 2688 2700 2800 2835 2880 2916 2934 3000 3024 3072 3150 3200 3240 3260 3360 3375 3402 3423 3456 3500 3584 3600 3645 3780 3840 3888 3912 4000 4032 4050 4075 4096 4200 4320 4374 4401 4480 4500 4536 4564 4608 4725 4800 4860 4890 5040 5103 5120 5184 5216 5250 5376 5400 5600 5670 5705 5760 5832 5868 6000 6048 6075 6144 6300 6400 6480 6520 6561 6720 6750 6804 6846 6912 7000 7168 7200 7290 7335 7560 7680 7776 7824 7875 8000 8064 8100 8150 8192 8400 8505 8640 8748 8802 8960 9000 9072 9128 9216 9450 9600 9720 9780 10080 10125 10206 10240 10269 10368 10432 10500 10752 10800 10935 11200 11340 11410 11520 11664 11736 12000 12096 12150 12225 12288 12600 12800 12960 13040 13122 13203 13440 13500 13608 13692 13824 14000 14175 14336 14400 14580 14670 15120 15309 15360 15552 15648 15750 16000 16128 16200 16300 16384 16800 17010 17115 17280 17496 17604 17920 18000 18144 18225 18256 18432 18900 19200 19440 19560 19683 20160 20250 20375 20412 20480 20538 20736 20864 21000 21504 21600 21870 22005 22400 22680 22820 23040 23328 23472 23625 24000 24192 24300 24450 24576 25200 25515 25600 25920 26080 26244 26406 26880 27000 27216 27384 27648 28000 28350 28525 28672 28800 29160 29340 30240 30375 30618 30720 30807 31104 31296 31500 32000 32256 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40884092928 41066611200 42326323200 42587596800 43119941760 43804385280 44916606000 45629568000 45994604544 47029248000 47319552000 47911046400 48671539200 49279933440 51105116160 51333264000 52565262336 52907904000 53234496000 53899927200 54755481600 56435097600 56783462400 57493255680 59888808000 60466176000 60839424000 61326139392 61599916800 63092736000 63881395200 65706577920 67374909000 68140154880 68444352000 68991906816 70543872000 70979328000 71866569600 73007308800 76657674240 76999896000 78847893504 79851744000 81119232000 82133222400 84652646400 85175193600 86239883520 87608770560 89833212000 91259136000 91989209088 94058496000 94639104000 95822092800 98559866880 102210232320 102666528000 105815808000 106468992000 107799854400 109510963200 113566924800 114986511360 119777616000 120932352000 121678848000 122652278784 123199833600 127762790400 131413155840 134749818000 136888704000 137983813632 141087744000 141958656000 143733139200 146014617600 153315348480 153999792000 157695787008 159703488000 164266444800 169305292800 170350387200 172479767040 179666424000 182518272000 183978418176 189278208000 191644185600 197119733760 204420464640 205333056000 211631616000 212937984000 215599708800 219021926400 229973022720 239555232000 243357696000 246399667200 255525580800 262826311680 269499636000 273777408000 275967627264 282175488000 283917312000 287466278400 306630696960 307999584000 319406976000 328532889600 340700774400 344959534080 359332848000 365036544000 367956836352 383288371200 394239467520 410666112000 423263232000 425875968000 431199417600 438043852800 459946045440 479110464000 492799334400 511051161600 538999272000 547554816000 551935254528 567834624000 574932556800 613261393920 615999168000 638813952000 657065779200 689919068160 718665696000 730073088000 766576742400 788478935040 821332224000 846526464000 851751936000 862398835200 919892090880 958220928000 985598668800 1022102323200 1077998544000 1095109632000 1103870509056 1149865113600 1231998336000 1277627904000 1314131558400 1379838136320 1437331392000 1533153484800 1642664448000 1703503872000 1724797670400 1839784181760 1916441856000 1971197337600 2155997088000 2190219264000 2299730227200 2463996672000 2555255808000 2759676272640 2874662784000 3066306969600 3285328896000 3449595340800 3832883712000 3942394675200 4311994176000 4599460454400 4927993344000 5110511616000 5519352545280 5749325568000 6570657792000 6899190681600 7665767424000 8623988352000 9198920908800 9855986688000 11498651136000 13798381363200 15331534848000 17247976704000 19711973376000 22997302272000 27596762726400 34495953408000 45994604544000 68991906816000 137983813632000
- Sum of all divisors σ(n): 594013710605952
- Sum of proper divisors (its aliquot sum) s(n): 456029896973952
- 137983813632000 is an abundant number, because the sum of its proper divisors (456029896973952) is greater than itself. Its abundance is 318046083341952
Bases of 137983813632000
- Binary: 111110101111110110111000011001001000000000000002
- Hexadecimal: 0x7D7EDC324000
- Base-36: 1CWSW00000
Squares and roots of 137983813632000
- 137983813632000 squared (1379838136320002) is 19039532824430509031424000000
- 137983813632000 cubed (1379838136320003) is 2627147348886565934726902047571968000000000
-
The
square root of 137983813632000 is 11746651.1666942763 -
The
cube root of 137983813632000 is 51674.4720225969
Scales and comparisons
How big is 137983813632000?- 137,983,813,632,000 seconds is equal to 4,387,458 years, 24 weeks.
-
To count from 1 to 137,983,813,632,000 would take you about ten million, nine hundred sixty-eight thousand, six hundred forty-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 137983813632000 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137983813632000
- 137983813632000 backwards is 000236318389731
- 137983813632000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137983813632000's digits is 54
- More coming soon!
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The information we have on file for 137983813632000 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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