138146774400
138,146,774,400 is an even composite number composed of five prime numbers multiplied together.
138146774400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138146774400:
27 × 33 × 52 × 109 × 14669
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 109 × 14669)See below for interesting mathematical facts about the number 138146774400 from the Numbermatics database.
Names of 138146774400
- Cardinal: 138146774400 can be written as One hundred thirty-eight billion, one hundred forty-six million, seven hundred seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.381467744 × 1011
Factors of 138146774400
Divisors of 138146774400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 109 120 128 135 144 150 160 180 192 200 216 218 225 240 270 288 300 320 327 360 384 400 432 436 450 480 540 545 576 600 640 654 675 720 800 864 872 900 960 981 1080 1090 1152 1200 1308 1350 1440 1600 1635 1728 1744 1800 1920 1962 2160 2180 2400 2616 2700 2725 2880 2943 3200 3270 3456 3488 3600 3924 4320 4360 4800 4905 5232 5400 5450 5760 5886 6540 6976 7200 7848 8175 8640 8720 9600 9810 10464 10800 10900 11772 13080 13952 14400 14669 14715 15696 16350 17280 17440 19620 20928 21600 21800 23544 24525 26160 28800 29338 29430 31392 32700 34880 39240 41856 43200 43600 44007 47088 49050 52320 58676 58860 62784 65400 69760 73345 73575 78480 86400 87200 88014 94176 98100 104640 117352 117720 125568 130800 132021 146690 147150 156960 174400 176028 188352 196200 209280 220035 234704 235440 261600 264042 293380 294300 313920 348800 352056 366725 376704 392400 396063 440070 469408 470880 523200 528084 586760 588600 627840 660105 704112 733450 784800 792126 880140 938816 941760 1046400 1056168 1100175 1173520 1177200 1320210 1408224 1466900 1569600 1584252 1598921 1760280 1877632 1883520 1980315 2112336 2200350 2347040 2354400 2640420 2816448 2933800 3139200 3168504 3197842 3300525 3520560 3960630 4224672 4400700 4694080 4708800 4796763 5280840 5632896 5867600 6337008 6395684 6601050 7041120 7921260 7994605 8449344 8801400 9388160 9417600 9593526 9901575 10561680 11735200 12674016 12791368 13202100 14082240 14390289 15842520 15989210 16898688 17602800 19187052 19803150 21123360 23470400 23983815 25348032 25582736 26404200 28164480 28780578 31685040 31978420 35205600 38374104 39606300 39973025 42246720 43170867 46940800 47967630 50696064 51165472 52808400 57561156 63370080 63956840 70411200 71951445 76748208 79212600 79946050 84493440 86341734 95935260 102330944 105616800 115122312 119919075 126740160 127913680 140822400 143902890 153496416 158425200 159892100 172683468 191870520 204661888 211233600 215854335 230244624 239838150 253480320 255827360 287805780 306992832 316850400 319784200 345366936 359757225 383741040 422467200 431708670 460489248 479676300 511654720 575611560 613985664 633700800 639568400 690733872 719514450 767482080 863417340 920978496 959352600 1023309440 1079271675 1151223120 1267401600 1279136800 1381467744 1439028900 1534964160 1726834680 1841956992 1918705200 2158543350 2302446240 2558273600 2762935488 2878057800 3069928320 3453669360 3837410400 4317086700 4604892480 5116547200 5525870976 5756115600 6907338720 7674820800 8634173400 9209784960 11512231200 13814677440 15349641600 17268346800 23024462400 27629354880 34536693600 46048924800 69073387200 138146774400
- Sum of all divisors σ(n): 510251940000
- Sum of proper divisors (its aliquot sum) s(n): 372105165600
- 138146774400 is an abundant number, because the sum of its proper divisors (372105165600) is greater than itself. Its abundance is 233958391200
Bases of 138146774400
- Binary: 100000001010100011000001111101100000002
- Hexadecimal: 0x202A307D80
- Base-36: 1RGP0TC0
Squares and roots of 138146774400
- 138146774400 squared (1381467744002) is 19084531277124495360000
- 138146774400 cubed (1381467744003) is 2636466436870661541211766784000000
-
The
square root of 138146774400 is 371681.0116215247 -
The
cube root of 138146774400 is 5169.4806771841
Scales and comparisons
How big is 138146774400?- 138,146,774,400 seconds is equal to 4,392 years, 33 weeks, 2 days.
-
To count from 1 to 138,146,774,400 would take you about eight thousand, seven hundred eighty-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 138146774400 cubic inches would be around 430.8 feet tall.
Recreational maths with 138146774400
- 138146774400 backwards is 004477641831
- 138146774400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138146774400's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138146774400 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
APA style:
Numbermatics. (2024). Number 138146774400 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/138146774400/
Chicago style:
Numbermatics. 2024. "Number 138146774400 - Facts about the integer". https://numbermatics.com/n/138146774400/
The information we have on file for 138146774400 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 138146774400, math, Factors of 138146774400, curriculum, school, college, exams, university, Prime factorization of 138146774400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, one hundred forty-six million, seven hundred seventy-four thousand, four hundred.