138291079680000
138,291,079,680,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138291079680000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3900 divisors.
138291079680000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, nine hundred divisors.
Prime factorization of 138291079680000:
212 × 34 × 54 × 13 × 292 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 29 × 29 × 61)See below for interesting mathematical facts about the number 138291079680000 from the Numbermatics database.
Names of 138291079680000
- Cardinal: 138291079680000 can be written as One hundred thirty-eight trillion, two hundred ninety-one billion, seventy-nine million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3829107968 × 1014
Factors of 138291079680000
Divisors of 138291079680000
- Number of divisors d(n): 3900
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 45 48 50 52 54 58 60 61 64 65 72 75 78 80 81 87 90 96 100 104 108 116 117 120 122 125 128 130 135 144 145 150 156 160 162 174 180 183 192 195 200 208 216 225 232 234 240 244 250 256 260 261 270 288 290 300 305 312 320 324 325 348 351 360 366 375 377 384 390 400 405 416 432 435 450 464 468 480 488 500 512 520 522 540 549 576 580 585 600 610 624 625 640 648 650 675 696 702 720 725 732 750 754 768 780 783 793 800 810 832 841 864 870 900 915 928 936 960 975 976 1000 1024 1040 1044 1053 1080 1098 1125 1131 1152 1160 1170 1200 1220 1248 1250 1280 1296 1300 1305 1350 1392 1404 1440 1450 1464 1500 1508 1525 1536 1560 1566 1586 1600 1620 1625 1647 1664 1682 1728 1740 1755 1769 1800 1830 1856 1872 1875 1885 1920 1950 1952 2000 2025 2048 2080 2088 2106 2160 2175 2196 2250 2262 2304 2320 2340 2349 2379 2400 2440 2496 2500 2523 2560 2592 2600 2610 2700 2745 2784 2808 2880 2900 2925 2928 3000 3016 3050 3072 3120 3132 3172 3200 3240 3250 3294 3328 3364 3375 3393 3456 3480 3510 3538 3600 3625 3660 3712 3744 3750 3770 3840 3900 3904 3915 3965 4000 4050 4096 4160 4176 4205 4212 4320 4350 4392 4500 4524 4575 4608 4640 4680 4698 4758 4800 4875 4880 4941 4992 5000 5046 5120 5184 5200 5220 5265 5307 5400 5490 5568 5616 5625 5655 5760 5800 5850 5856 6000 6032 6100 6144 6240 6264 6344 6400 6480 6500 6525 6588 6656 6728 6750 6786 6912 6960 7020 7076 7137 7200 7250 7320 7424 7488 7500 7540 7569 7625 7680 7800 7808 7830 7930 8000 8100 8125 8235 8320 8352 8410 8424 8640 8700 8775 8784 8845 9000 9048 9150 9216 9280 9360 9396 9425 9516 9600 9750 9760 9882 9984 10000 10092 10125 10179 10240 10368 10400 10440 10530 10614 10800 10875 10933 10980 11136 11232 11250 11310 11520 11600 11700 11712 11745 11895 12000 12064 12200 12288 12480 12528 12615 12688 12800 12960 13000 13050 13176 13312 13456 13500 13572 13725 13824 13920 14040 14152 14274 14400 14500 14625 14640 14848 14976 15000 15080 15138 15250 15360 15600 15616 15660 15860 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2267066880000 2304851328000 2384328960000 2560945920000 2659443840000 2765821593600 2881064160000 3073135104000 3457276992000 3545925120000 3841418880000 4321596240000 4609702656000 4768657920000 5121891840000 5318887680000 5531643187200 5762128320000 6914553984000 7682837760000 8643192480000 9219405312000 10637775360000 11524256640000 13829107968000 15365675520000 17286384960000 23048513280000 27658215936000 34572769920000 46097026560000 69145539840000 138291079680000
- Sum of all divisors σ(n): 585209288011348
- Sum of proper divisors (its aliquot sum) s(n): 446918208331348
- 138291079680000 is an abundant number, because the sum of its proper divisors (446918208331348) is greater than itself. Its abundance is 308627128651348
Bases of 138291079680000
- Binary: 111110111000110011001101010111000010000000000002
- Hexadecimal: 0x7DC666AE1000
- Base-36: 1D0Q1M9S00
Squares and roots of 138291079680000
- 138291079680000 squared (1382910796800002) is 19124422719060108902400000000
- 138291079680000 cubed (1382910796800003) is 2644737066075543774931275743232000000000000
-
The
square root of 138291079680000 is 11759722.7722425497 -
The
cube root of 138291079680000 is 51712.8002854819
Scales and comparisons
How big is 138291079680000?- 138,291,079,680,000 seconds is equal to 4,397,228 years, 29 weeks, 5 days.
-
To count from 1 to 138,291,079,680,000 would take you about ten million, nine hundred ninety-three thousand and seventy-one 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 138291079680000 cubic inches would be around 4309.4 feet tall.
Recreational maths with 138291079680000
- 138291079680000 backwards is 000086970192831
- 138291079680000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138291079680000's digits is 54
- More coming soon!
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"Number 138291079680000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 138291079680000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138291079680000/
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Numbermatics. 2024. "Number 138291079680000 - Facts about the integer". https://numbermatics.com/n/138291079680000/
The information we have on file for 138291079680000 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 138291079680000, math, Factors of 138291079680000, curriculum, school, college, exams, university, Prime factorization of 138291079680000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred ninety-one billion, seventy-nine million, six hundred eighty thousand.