138661034803200
138,661,034,803,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 138661034803200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3510 divisors.
138661034803200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, five hundred ten divisors.
Prime factorization of 138661034803200:
214 × 312 × 52 × 72 × 13
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13)See below for interesting mathematical facts about the number 138661034803200 from the Numbermatics database.
Names of 138661034803200
- Cardinal: 138661034803200 can be written as One hundred thirty-eight trillion, six hundred sixty-one billion, thirty-four million, eight hundred three thousand, two hundred.
Scientific notation
- Scientific notation: 1.386610348032 × 1014
Factors of 138661034803200
Divisors of 138661034803200
- Number of divisors d(n): 3510
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 49 50 52 54 56 60 63 64 65 70 72 75 78 80 81 84 90 91 96 98 100 104 105 108 112 117 120 126 128 130 135 140 144 147 150 156 160 162 168 175 180 182 189 192 195 196 200 208 210 216 224 225 234 240 243 245 252 256 260 270 273 280 288 294 300 312 315 320 324 325 336 350 351 360 364 378 384 390 392 400 405 416 420 432 441 448 450 455 468 480 486 490 504 512 520 525 540 546 560 567 576 585 588 600 624 630 637 640 648 650 672 675 700 702 720 728 729 735 756 768 780 784 800 810 819 832 840 864 882 896 900 910 936 945 960 972 975 980 1008 1024 1040 1050 1053 1080 1092 1120 1134 1152 1170 1176 1200 1215 1225 1248 1260 1274 1280 1296 1300 1323 1344 1350 1365 1400 1404 1440 1456 1458 1470 1512 1536 1560 1568 1575 1600 1620 1638 1664 1680 1701 1728 1755 1764 1792 1800 1820 1872 1890 1911 1920 1944 1950 1960 2016 2025 2048 2080 2100 2106 2160 2184 2187 2205 2240 2268 2275 2304 2340 2352 2400 2430 2450 2457 2496 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660290641920 666639590400 693305174016 707454259200 711082229760 722192889600 733656268800 761873817600 770339082240 792348770304 825363302400 855932313600 866631467520 888852787200 924406898688 943272345600 962923852800 990435962880 1027118776320 1066623344640 1083289334400 1100484403200 1155508623360 1185137049600 1238044953600 1283898470400 1320581283840 1333279180800 1386610348032 1414908518400 1444385779200 1523747635200 1540678164480 1650726604800 1711864627200 1733262935040 1777705574400 1848813797376 1925847705600 1980871925760 2133246689280 2166578668800 2200968806400 2311017246720 2476089907200 2567796940800 2666558361600 2773220696064 2829817036800 2888771558400 3081356328960 3301453209600 3466525870080 3555411148800 3851695411200 3961743851520 4333157337600 4622034493440 4952179814400 5135593881600 5333116723200 5546441392128 5777543116800 6602906419200 6933051740160 7703390822400 8666314675200 9244068986880 9904359628800 10666233446400 11555086233600 13866103480320 15406781644800 17332629350400 19808719257600 23110172467200 27732206960640 34665258700800 46220344934400 69330517401600 138661034803200
- Sum of all divisors σ(n): 646170771659406
- Sum of proper divisors (its aliquot sum) s(n): 507509736856206
- 138661034803200 is an abundant number, because the sum of its proper divisors (507509736856206) is greater than itself. Its abundance is 368848702053006
Bases of 138661034803200
- Binary: 111111000011100100010011011100101000000000000002
- Hexadecimal: 0x7E1C89B94000
- Base-36: 1D5G000000
Squares and roots of 138661034803200
- 138661034803200 squared (1386610348032002) is 19226882572694241662730240000
- 138661034803200 cubed (1386610348032003) is 2666019433569395797188069244973088768000000
-
The
square root of 138661034803200 is 11775442.0215633519 -
The
cube root of 138661034803200 is 51758.8731068767
Scales and comparisons
How big is 138661034803200?- 138,661,034,803,200 seconds is equal to 4,408,992 years.
-
To count from 1 to 138,661,034,803,200 would take you about eleven million, twenty-two thousand, four hundred eighty 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 138661034803200 cubic inches would be around 4313.2 feet tall.
Recreational maths with 138661034803200
- 138661034803200 backwards is 002308430166831
- 138661034803200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138661034803200's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 138661034803200 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 138661034803200 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/138661034803200/
Chicago style:
Numbermatics. 2024. "Number 138661034803200 - Facts about the integer". https://numbermatics.com/n/138661034803200/
The information we have on file for 138661034803200 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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