138307195699200
138,307,195,699,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 138307195699200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3264 divisors.
138307195699200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, two hundred sixty-four divisors.
Prime factorization of 138307195699200:
216 × 37 × 52 × 113 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 29)See below for interesting mathematical facts about the number 138307195699200 from the Numbermatics database.
Names of 138307195699200
- Cardinal: 138307195699200 can be written as One hundred thirty-eight trillion, three hundred seven billion, one hundred ninety-five million, six hundred ninety-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.383071956992 × 1014
Factors of 138307195699200
Divisors of 138307195699200
- Number of divisors d(n): 3264
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 29 30 32 33 36 40 44 45 48 50 54 55 58 60 64 66 72 75 80 81 87 88 90 96 99 100 108 110 116 120 121 128 132 135 144 145 150 160 162 165 174 176 180 192 198 200 216 220 225 232 240 242 243 256 261 264 270 275 288 290 297 300 319 320 324 330 348 352 360 363 384 396 400 405 432 435 440 450 464 480 484 486 495 512 522 528 540 550 576 580 594 600 605 638 640 648 660 675 696 704 720 725 726 729 768 783 792 800 810 825 864 870 880 891 900 928 957 960 968 972 990 1024 1044 1056 1080 1089 1100 1152 1160 1188 1200 1210 1215 1276 1280 1296 1305 1320 1331 1350 1392 1408 1440 1450 1452 1458 1485 1536 1566 1584 1595 1600 1620 1650 1728 1740 1760 1782 1800 1815 1856 1914 1920 1936 1944 1980 2025 2048 2088 2112 2160 2175 2178 2187 2200 2304 2320 2349 2376 2400 2420 2430 2475 2552 2560 2592 2610 2640 2662 2673 2700 2784 2816 2871 2880 2900 2904 2916 2970 3025 3072 3132 3168 3190 3200 3240 3267 3300 3456 3480 3509 3520 3564 3600 3630 3645 3712 3828 3840 3872 3888 3915 3960 3993 4050 4096 4176 4224 4320 4350 4356 4374 4400 4455 4608 4640 4698 4752 4785 4800 4840 4860 4950 5104 5120 5184 5220 5280 5324 5346 5400 5445 5568 5632 5742 5760 5800 5808 5832 5940 6050 6075 6144 6264 6336 6380 6400 6480 6525 6534 6600 6655 6912 6960 7018 7040 7047 7128 7200 7260 7290 7424 7425 7656 7680 7744 7776 7830 7920 7975 7986 8019 8100 8192 8352 8448 8613 8640 8700 8712 8748 8800 8910 9075 9216 9280 9396 9504 9570 9600 9680 9720 9801 9900 10208 10240 10368 10440 10527 10560 10648 10692 10800 10890 10935 11136 11264 11484 11520 11600 11616 11664 11745 11880 11979 12100 12150 12288 12528 12672 12760 12800 12960 13050 13068 13200 13310 13365 13824 13920 14036 14080 14094 14256 14355 14400 14520 14580 14848 14850 15312 15360 15488 15552 15660 15840 15950 15972 16038 16200 16335 16384 16704 16896 17226 17280 17400 17424 17496 17545 17600 17820 18150 18225 18432 18560 18792 19008 19140 19200 19360 19440 19575 19602 19800 19965 20416 20480 20736 20880 21054 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569165414400 571517337600 576279982080 596151705600 614698647552 628669071360 640311091200 691535978496 698521190400 720349977600 768373309440 785836339200 794868940800 838225428480 853748121600 864419973120 922047971328 953842728960 960466636800 1024497745920 1047781785600 1080524966400 1143034675200 1152559964160 1192303411200 1257338142720 1280622182400 1383071956992 1397042380800 1440699955200 1536746618880 1571672678400 1589737881600 1707496243200 1728839946240 1844095942656 1920933273600 2095563571200 2161049932800 2305119928320 2384606822400 2514676285440 2561244364800 2766143913984 2881399910400 3073493237760 3143345356800 3457679892480 3841866547200 4191127142400 4322099865600 4610239856640 4769213644800 5122488729600 5532287827968 5762799820800 6286690713600 6915359784960 7683733094400 8644199731200 9220479713280 11525599641600 12573381427200 13830719569920 15367466188800 17288399462400 23051199283200 27661439139840 34576798924800 46102398566400 69153597849600 138307195699200
- Sum of all divisors σ(n): 585334984377600
- Sum of proper divisors (its aliquot sum) s(n): 447027788678400
- 138307195699200 is an abundant number, because the sum of its proper divisors (447027788678400) is greater than itself. Its abundance is 308720592979200
Bases of 138307195699200
- Binary: 111110111001010001001110100010100000000000000002
- Hexadecimal: 0x7DCA27450000
- Base-36: 1D0XG5C000
Squares and roots of 138307195699200
- 138307195699200 squared (1383071956992002) is 19128880382176806976880640000
- 138307195699200 cubed (1383071956992003) is 2645661802524315330246814606439743488000000
-
The
square root of 138307195699200 is 11760407.9733315375 -
The
cube root of 138307195699200 is 51714.8090246143
Scales and comparisons
How big is 138307195699200?- 138,307,195,699,200 seconds is equal to 4,397,741 years, 4 days.
-
To count from 1 to 138,307,195,699,200 would take you about ten million, nine hundred ninety-four thousand, three hundred fifty-two 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 138307195699200 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138307195699200
- 138307195699200 backwards is 002996591703831
- The number of decimal digits it has is: 15
- The sum of 138307195699200's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138307195699200 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 138307195699200 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138307195699200/
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Numbermatics. 2024. "Number 138307195699200 - Facts about the integer". https://numbermatics.com/n/138307195699200/
The information we have on file for 138307195699200 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 138307195699200, math, Factors of 138307195699200, curriculum, school, college, exams, university, Prime factorization of 138307195699200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred seven billion, one hundred ninety-five million, six hundred ninety-nine thousand, two hundred.