138910056440400
138,910,056,440,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138910056440400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 360 divisors.
138910056440400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138910056440400:
24 × 35 × 52 × 7 × 204159401
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 204159401)See below for interesting mathematical facts about the number 138910056440400 from the Numbermatics database.
Names of 138910056440400
- Cardinal: 138910056440400 can be written as One hundred thirty-eight trillion, nine hundred ten billion, fifty-six million, four hundred forty thousand, four hundred.
Scientific notation
- Scientific notation: 1.389100564404 × 1014
Factors of 138910056440400
Divisors of 138910056440400
- Number of divisors d(n): 360
-
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 35 36 40 42 45 48 50 54 56 60 63 70 72 75 80 81 84 90 100 105 108 112 120 126 135 140 144 150 162 168 175 180 189 200 210 216 225 240 243 252 270 280 300 315 324 336 350 360 378 400 405 420 432 450 486 504 525 540 560 567 600 630 648 675 700 720 756 810 840 900 945 972 1008 1050 1080 1134 1200 1215 1260 1296 1350 1400 1512 1575 1620 1680 1701 1800 1890 1944 2025 2100 2160 2268 2430 2520 2700 2800 2835 3024 3150 3240 3402 3600 3780 3888 4050 4200 4536 4725 4860 5040 5400 5670 6075 6300 6480 6804 7560 8100 8400 8505 9072 9450 9720 10800 11340 12150 12600 13608 14175 15120 16200 17010 18900 19440 22680 24300 25200 27216 28350 32400 34020 37800 42525 45360 48600 56700 68040 75600 85050 97200 113400 136080 170100 226800 340200 680400 204159401 408318802 612478203 816637604 1020797005 1224956406 1429115807 1633275208 1837434609 2041594010 2449912812 2858231614 3062391015 3266550416 3674869218 4083188020 4287347421 4899825624 5103985025 5512303827 5716463228 6124782030 7145579035 7349738436 8166376040 8574694842 9187173045 9799651248 10207970050 11024607654 11432926456 12249564060 12862042263 14291158070 14699476872 15311955075 16332752080 16536911481 17149389684 18374346090 20415940100 21436737105 22049215308 22865852912 24499128120 25724084526 27561519135 28582316140 29398953744 30623910150 33073822962 34298779368 35727895175 36748692180 38586126789 40831880200 42873474210 44098430616 45935865225 48998256240 49610734443 51448169052 55123038270 57164632280 61247820300 64310211315 66147645924 68597558736 71455790350 73497384360 77172253578 81663760400 82684557405 85746948420 88196861232 91871730450 99221468886 102896338104 107183685525 110246076540 114329264560 115758380367 122495640600 128620422630 132295291848 137807595675 142911580700 146994768720 154344507156 165369114810 171493896840 183743460900 192930633945 198442937772 205792676208 214367371050 220492153080 231516760734 244991281200 248053672215 257240845260 264590583696 275615191350 285823161400 308689014312 321551056575 330738229620 342987793680 347275141101 367486921800 385861267890 396885875544 413422787025 428734742100 440984306160 463033521468 496107344430 514481690520 551230382700 571646322800 578791901835 617378028624 643102113150 661476459240 694550282202 734973843600 771722535780 793771751088 826845574050 857469484200 926067042936 964653169725 992214688860 1028963381040 1102460765400 1157583803670 1240268361075 1286204226300 1322952918480 1389100564404 1543445071560 1653691148100 1714938968400 1736375705505 1852134085872 1929306339450 1984429377720 2204921530800 2315167607340 2480536722150 2572408452600 2778201128808 2893959509175 3086890143120 3307382296200 3472751411010 3858612678900 3968858755440 4630335214680 4961073444300 5144816905200 5556402257616 5787919018350 6614764592400 6945502822020 7717225357800 8681878527525 9260670429360 9922146888600 11575838036700 13891005644040 15434450715600 17363757055050 19844293777200 23151676073400 27782011288080 34727514110100 46303352146800 69455028220200 138910056440400
- Sum of all divisors σ(n): 571326203657664
- Sum of proper divisors (its aliquot sum) s(n): 432416147217264
- 138910056440400 is an abundant number, because the sum of its proper divisors (432416147217264) is greater than itself. Its abundance is 293506090776864
Bases of 138910056440400
- Binary: 111111001010110100001001001000111100010010100002
- Hexadecimal: 0x7E568491E250
- Base-36: 1D8MED1X00
Squares and roots of 138910056440400
- 138910056440400 squared (1389100564404002) is 19296003780275113518752160000
- 138910056440400 cubed (1389100564404003) is 2680408974192187779129379589379411264000000
-
The
square root of 138910056440400 is 11786011.0487136401 -
The
cube root of 138910056440400 is 51789.8391990853
Scales and comparisons
How big is 138910056440400?- 138,910,056,440,400 seconds is equal to 4,416,910 years, 6 weeks, 21 hours.
-
To count from 1 to 138,910,056,440,400 would take you about eleven million, forty-two thousand, two hundred seventy-five 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 138910056440400 cubic inches would be around 4315.8 feet tall.
Recreational maths with 138910056440400
- 138910056440400 backwards is 004044650019831
- 138910056440400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138910056440400's digits is 45
- More coming soon!
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