138794088384000
138,794,088,384,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138794088384000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3840 divisors.
138794088384000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 138794088384000:
29 × 37 × 53 × 75 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 59)See below for interesting mathematical facts about the number 138794088384000 from the Numbermatics database.
Names of 138794088384000
- Cardinal: 138794088384000 can be written as One hundred thirty-eight trillion, seven hundred ninety-four billion, eighty-eight million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.38794088384 × 1014
Factors of 138794088384000
Divisors of 138794088384000
- Number of divisors d(n): 3840
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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 49 50 54 56 59 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 118 120 125 126 128 135 140 144 147 150 160 162 168 175 177 180 189 192 196 200 210 216 224 225 236 240 243 245 250 252 256 270 280 288 294 295 300 315 320 324 336 343 350 354 360 375 378 384 392 400 405 413 420 432 441 448 450 472 480 486 490 500 504 512 525 531 540 560 567 576 588 590 600 630 640 648 672 675 686 700 708 720 729 735 750 756 768 784 800 810 826 840 864 875 882 885 896 900 944 945 960 972 980 1000 1008 1029 1050 1062 1080 1120 1125 1134 1152 1176 1180 1200 1215 1225 1239 1260 1280 1296 1323 1344 1350 1372 1400 1416 1440 1458 1470 1475 1500 1512 1536 1568 1575 1593 1600 1620 1652 1680 1701 1715 1728 1750 1764 1770 1792 1800 1888 1890 1920 1944 1960 2000 2016 2025 2058 2065 2100 2124 2160 2187 2205 2240 2250 2268 2304 2352 2360 2400 2401 2430 2450 2478 2520 2560 2592 2625 2646 2655 2688 2700 2744 2800 2832 2835 2880 2891 2916 2940 2950 3000 3024 3087 3136 3150 3186 3200 3240 3304 3360 3375 3402 3430 3456 3500 3528 3540 3584 3600 3645 3675 3717 3776 3780 3840 3888 3920 3969 4000 4032 4050 4116 4130 4200 4248 4320 4374 4410 4425 4480 4500 4536 4608 4704 4720 4725 4779 4800 4802 4860 4900 4956 5040 5103 5145 5184 5250 5292 5310 5376 5400 5488 5600 5664 5670 5760 5782 5832 5880 5900 6000 6048 6075 6125 6174 6195 6272 6300 6372 6400 6480 6608 6615 6720 6750 6804 6860 6912 7000 7056 7080 7200 7203 7290 7350 7375 7434 7552 7560 7680 7776 7840 7875 7938 7965 8000 8064 8100 8232 8260 8400 8496 8505 8575 8640 8673 8748 8820 8850 8960 9000 9072 9261 9408 9440 9450 9558 9600 9604 9720 9800 9912 10080 10125 10206 10290 10325 10368 10500 10584 10620 10752 10800 10935 10976 11025 11151 11200 11328 11340 11520 11564 11664 11760 11800 11907 12000 12005 12096 12150 12250 12348 12390 12544 12600 12744 12800 12960 13216 13230 13275 13440 13500 13608 13720 13824 14000 14112 14160 14175 14337 14400 14406 14455 14580 14700 14750 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708133104000 722885877000 734360256000 771078268800 784147392000 793109076480 826155288000 856753632000 867463052400 925293922560 944177472000 963847836000 991386345600 1028104358400 1084328815500 1101540384000 1110352707072 1156617403200 1176221088000 1239232932000 1285130448000 1321848460800 1387940883840 1416266208000 1445771754000 1542156537600 1652310576000 1713507264000 1734926104800 1850587845120 1927695672000 1982772691200 2168657631000 2203080768000 2313234806400 2352442176000 2478465864000 2570260896000 2775881767680 2832532416000 2891543508000 3084313075200 3304621152000 3469852209600 3855391344000 3965545382400 4337315262000 4626469612800 4956931728000 5140521792000 5551763535360 5783087016000 6609242304000 6939704419200 7710782688000 8674630524000 9252939225600 9913863456000 11566174032000 13879408838400 15421565376000 17349261048000 19827726912000 23132348064000 27758817676800 34698522096000 46264696128000 69397044192000 138794088384000
- Sum of all divisors σ(n): 615826855987200
- Sum of proper divisors (its aliquot sum) s(n): 477032767603200
- 138794088384000 is an abundant number, because the sum of its proper divisors (477032767603200) is greater than itself. Its abundance is 338238679219200
Bases of 138794088384000
- Binary: 111111000111011100001000101010111000110000000002
- Hexadecimal: 0x7E3B8455C600
- Base-36: 1D754GO000
Squares and roots of 138794088384000
- 138794088384000 squared (1387940883840002) is 19263798970345603731456000000
- 138794088384000 cubed (1387940883840003) is 2673701416901755919329544265007104000000000
-
The
square root of 138794088384000 is 11781090.2884240725 -
The
cube root of 138794088384000 is 51775.4230623209
Scales and comparisons
How big is 138794088384000?- 138,794,088,384,000 seconds is equal to 4,413,222 years, 36 weeks.
-
To count from 1 to 138,794,088,384,000 would take you about eleven million, thirty-three thousand and fifty-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 138794088384000 cubic inches would be around 4314.6 feet tall.
Recreational maths with 138794088384000
- 138794088384000 backwards is 000483880497831
- 138794088384000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138794088384000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138794088384000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 138794088384000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/138794088384000/
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Numbermatics. 2024. "Number 138794088384000 - Facts about the integer". https://numbermatics.com/n/138794088384000/
The information we have on file for 138794088384000 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 138794088384000, math, Factors of 138794088384000, curriculum, school, college, exams, university, Prime factorization of 138794088384000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred ninety-four billion, eighty-eight million, three hundred eighty-four thousand.