138181067136000
138,181,067,136,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138181067136000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4224 divisors.
138181067136000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand, two hundred twenty-four divisors.
Prime factorization of 138181067136000:
210 × 32 × 53 × 7 × 19 × 29 × 137 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 19 × 29 × 137 × 227)See below for interesting mathematical facts about the number 138181067136000 from the Numbermatics database.
Names of 138181067136000
- Cardinal: 138181067136000 can be written as One hundred thirty-eight trillion, one hundred eighty-one billion, sixty-seven million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.38181067136 × 1014
Factors of 138181067136000
Divisors of 138181067136000
- Number of divisors d(n): 4224
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 29 30 32 35 36 38 40 42 45 48 50 56 57 58 60 63 64 70 72 75 76 80 84 87 90 95 96 100 105 112 114 116 120 125 126 128 133 137 140 144 145 150 152 160 168 171 174 175 180 190 192 200 203 210 224 225 227 228 232 240 250 252 256 261 266 274 280 285 288 290 300 304 315 320 336 342 348 350 360 375 380 384 399 400 406 411 420 435 448 450 454 456 464 475 480 500 504 512 522 525 532 548 551 560 570 576 580 600 608 609 630 640 665 672 681 684 685 696 700 720 725 750 760 768 798 800 812 822 840 855 870 875 896 900 908 912 928 950 959 960 1000 1008 1015 1024 1044 1050 1064 1096 1102 1120 1125 1135 1140 1152 1160 1197 1200 1216 1218 1233 1260 1280 1305 1330 1344 1362 1368 1370 1392 1400 1425 1440 1450 1500 1520 1536 1575 1589 1596 1600 1624 1644 1653 1680 1710 1740 1750 1792 1800 1816 1824 1827 1856 1900 1918 1920 1995 2000 2016 2030 2043 2055 2088 2100 2128 2175 2192 2204 2240 2250 2270 2280 2304 2320 2375 2394 2400 2432 2436 2466 2520 2560 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484845849600 493503811200 504310464000 519477696000 529429376000 539769793500 548337568000 552724268544 575754446400 595608048000 606057312000 608727168000 614138076160 616879764000 658005081600 680694912000 690905335680 719693058000 727268774400 767672595200 789606097920 794144064000 808076416000 822506352000 863631669600 909085968000 921207114240 952972876800 959590744000 987007622400 1008620928000 1038955392000 1079539587000 1096675136000 1105448537088 1151508892800 1191216096000 1212114624000 1233759528000 1316010163200 1381810671360 1439386116000 1454537548800 1535345190400 1588288128000 1645012704000 1727263339200 1818171936000 1842414228480 1919181488000 1974015244800 2159079174000 2193350272000 2303017785600 2382432192000 2424229248000 2467519056000 2763621342720 2878772232000 3070690380800 3290025408000 3454526678400 3636343872000 3838362976000 3948030489600 4318158348000 4606035571200 4764864384000 4935038112000 5527242685440 5757544464000 6580050816000 6909053356800 7272687744000 7676725952000 8636316696000 9212071142400 9870076224000 11515088928000 13818106713600 15353451904000 17272633392000 19740152448000 23030177856000 27636213427200 34545266784000 46060355712000 69090533568000 138181067136000
- Sum of all divisors σ(n): 626961631795200
- Sum of proper divisors (its aliquot sum) s(n): 488780564659200
- 138181067136000 is an abundant number, because the sum of its proper divisors (488780564659200) is greater than itself. Its abundance is 350599497523200
Bases of 138181067136000
- Binary: 111110110101100110010010110101111011100000000002
- Hexadecimal: 0x7DACC96BDC00
- Base-36: 1CZBI7N5S0
Squares and roots of 138181067136000
- 138181067136000 squared (1381810671360002) is 19094007314843739242496000000
- 138181067136000 cubed (1381810671360003) is 2638430306667697821616617560211456000000000
-
The
square root of 138181067136000 is 11755044.3272664863 -
The
cube root of 138181067136000 is 51699.0838887035
Scales and comparisons
How big is 138181067136000?- 138,181,067,136,000 seconds is equal to 4,393,730 years, 26 weeks, 4 days, 16 hours.
-
To count from 1 to 138,181,067,136,000 would take you about ten million, nine hundred eighty-four thousand, three hundred twenty-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 138181067136000 cubic inches would be around 4308.3 feet tall.
Recreational maths with 138181067136000
- 138181067136000 backwards is 000631760181831
- 138181067136000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138181067136000's digits is 45
- More coming soon!
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"Number 138181067136000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138181067136000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138181067136000/
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The information we have on file for 138181067136000 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!
Keywords: Divisors of 138181067136000, math, Factors of 138181067136000, curriculum, school, college, exams, university, Prime factorization of 138181067136000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred eighty-one billion, sixty-seven million, one hundred thirty-six thousand.