138916882188000
138,916,882,188,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138916882188000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3888 divisors.
138916882188000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred eighty-eight divisors.
Prime factorization of 138916882188000:
25 × 32 × 53 × 72 × 192 × 312 × 227
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 19 × 19 × 31 × 31 × 227)See below for interesting mathematical facts about the number 138916882188000 from the Numbermatics database.
Names of 138916882188000
- Cardinal: 138916882188000 can be written as One hundred thirty-eight trillion, nine hundred sixteen billion, eight hundred eighty-two million, one hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.38916882188 × 1014
Factors of 138916882188000
Divisors of 138916882188000
- Number of divisors d(n): 3888
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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 30 31 32 35 36 38 40 42 45 48 49 50 56 57 60 62 63 70 72 75 76 80 84 90 93 95 96 98 100 105 112 114 120 124 125 126 133 140 144 147 150 152 155 160 168 171 175 180 186 190 196 200 210 217 224 225 227 228 240 245 248 250 252 266 279 280 285 288 294 300 304 310 315 336 342 350 360 361 372 375 380 392 399 400 420 434 441 450 454 456 465 475 480 490 496 500 504 525 532 558 560 570 588 589 600 608 620 630 651 665 672 681 684 700 720 722 735 744 750 760 775 784 798 800 840 855 868 875 882 900 908 912 930 931 950 961 980 992 1000 1008 1050 1064 1083 1085 1116 1120 1125 1135 1140 1176 1178 1197 1200 1225 1240 1260 1302 1330 1362 1368 1395 1400 1425 1440 1444 1470 1488 1500 1519 1520 1550 1568 1575 1589 1596 1680 1710 1736 1750 1764 1767 1800 1805 1816 1824 1860 1862 1900 1922 1953 1960 1995 2000 2016 2043 2100 2128 2166 2170 2205 2232 2250 2270 2280 2325 2352 2356 2375 2394 2400 2450 2480 2520 2527 2604 2625 2660 2724 2736 2790 2793 2800 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384811308000 385880228300 396905377680 406189714000 413443101750 441005975200 448118974800 456963428250 463056273960 472506402000 482350285375 487427656800 496131722100 497909972000 522243918000 551257469000 555667528752 560148718500 567007682400 578820342450 609284571000 611968644000 617408365280 620164652625 640169964000 661508962800 694584410940 708759603000 731141485200 746864958000 771760456600 793810755360 812379428000 826886203500 868230513675 896237949600 913926856500 926112547920 945012804000 964700570750 992263444200 1044487836000 1102514938000 1111335057504 1120297437000 1157640684900 1218569142000 1240329305250 1323017925600 1389168821880 1417519206000 1447050856125 1462282970400 1493729916000 1543520913200 1653772407000 1736461027350 1827853713000 1852225095840 1929401141500 1984526888400 2205029876000 2240594874000 2315281369800 2437138284000 2480658610500 2778337643760 2835038412000 2894101712250 3087041826400 3307544814000 3472922054700 3655707426000 3858802283000 3969053776800 4341152568375 4481189748000 4630562739600 4961317221000 5556675287520 5788203424500 6615089628000 6945844109400 7311414852000 7717604566000 8682305136750 9261125479200 9922634442000 11576406849000 13891688218800 15435209132000 17364610273500 19845268884000 23152813698000 27783376437600 34729220547000 46305627396000 69458441094000 138916882188000
- Sum of all divisors σ(n): 628192037006352
- Sum of proper divisors (its aliquot sum) s(n): 489275154818352
- 138916882188000 is an abundant number, because the sum of its proper divisors (489275154818352) is greater than itself. Its abundance is 350358272630352
Bases of 138916882188000
- Binary: 111111001011000000110110110101010000110111000002
- Hexadecimal: 0x7E581B6A86E0
- Base-36: 1D8PJ8XDK0
Squares and roots of 138916882188000
- 138916882188000 squared (1389168821880002) is 19297900156834671667344000000
- 138916882188000 cubed (1389168821880003) is 2680804122562788807006087974868672000000000
-
The
square root of 138916882188000 is 11786300.6150360851 -
The
cube root of 138916882188000 is 51790.6874663973
Scales and comparisons
How big is 138916882188000?- 138,916,882,188,000 seconds is equal to 4,417,127 years, 8 weeks, 14 hours.
-
To count from 1 to 138,916,882,188,000 would take you about eleven million, forty-two thousand, eight hundred seventeen 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 138916882188000 cubic inches would be around 4315.9 feet tall.
Recreational maths with 138916882188000
- 138916882188000 backwards is 000881288619831
- 138916882188000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138916882188000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138916882188000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 138916882188000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138916882188000/
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Numbermatics. 2024. "Number 138916882188000 - Facts about the integer". https://numbermatics.com/n/138916882188000/
The information we have on file for 138916882188000 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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