138561966304000512
138,561,966,304,000,512 is an even composite number composed of six prime numbers multiplied together.
What does the number 138561966304000512 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138561966304000512 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138561966304000512:
29 × 3 × 73 × 132 × 1032 × 3832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 13 × 103 × 103 × 383 × 383)See below for interesting mathematical facts about the number 138561966304000512 from the Numbermatics database.
Names of 138561966304000512
- Cardinal: 138561966304000512 can be written as One hundred thirty-eight quadrillion, five hundred sixty-one trillion, nine hundred sixty-six billion, three hundred four million, five hundred twelve.
Scientific notation
- Scientific notation: 1.38561966304000512 × 1017
Factors of 138561966304000512
Divisors of 138561966304000512
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 103 104 112 128 147 156 168 169 182 192 196 206 208 224 256 273 294 309 312 336 338 343 364 383 384 392 412 416 448 507 512 546 588 618 624 637 672 676 686 721 728 766 768 784 824 832 896 1014 1029 1092 1149 1176 1183 1236 1248 1274 1339 1344 1352 1372 1442 1456 1532 1536 1568 1648 1664 1792 1911 2028 2058 2163 2184 2298 2352 2366 2472 2496 2548 2678 2681 2688 2704 2744 2884 2912 3064 3136 3296 3328 3549 3584 3822 4017 4056 4116 4326 4368 4459 4596 4704 4732 4944 4979 4992 5047 5096 5356 5362 5376 5408 5488 5768 5824 6128 6272 6592 6656 7098 7644 8034 8043 8112 8232 8281 8652 8736 8918 9192 9373 9408 9464 9888 9958 9984 10094 10192 10609 10712 10724 10752 10816 10976 11536 11648 12256 12544 13184 13377 14196 14937 15141 15288 16068 16086 16224 16464 16562 17304 17407 17472 17836 18384 18746 18767 18816 18928 19776 19916 19968 20188 20384 21218 21424 21448 21632 21952 23072 23296 24512 24843 25088 26368 26754 28119 28392 29874 30282 30576 31827 32136 32172 32448 32928 33124 34608 34814 34853 34944 35329 35672 36768 37492 37534 37632 37856 39449 39552 39832 40376 40768 42436 42848 42896 43264 43904 46144 46592 49024 49686 52221 52736 53508 56238 56301 56784 57967 59748 60564 61152 63654 64272 64344 64727 64896 65611 65856 66248 69216 69628 69706 69888 70658 71344 73536 74263 74984 75068 75264 75712 78898 79104 79664 80752 81536 84872 85696 85792 86528 87808 92288 98048 99372 104442 104559 105987 107016 112476 112602 113568 115934 118347 119496 121128 121849 122304 127308 128544 128688 129454 129792 131222 131369 131712 132496 137917 138432 139256 139412 139776 141316 142688 146689 147072 148526 149968 150136 151424 157796 158208 159328 161504 163072 169744 171392 171584 173901 175616 184576 194181 196096 196833 198744 208884 209118 211974 214032 222789 224952 225204 227136 231868 236694 238992 242256 243698 243971 244608 254616 257088 257376 258908 259584 262444 262738 263424 264992 275834 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50496343405248 51243330733728 51548350559524 51682941553152 51740838799104 54380677513344 55513608294872 56052575365696 58563806552832 58912400639456 60296765145344 63444123765568 64060086132224 67328457873664 68324440978304 72507570017792 77322525839286 83270412442308 84078863048544 88368600959184 90209613479167 90445147718016 95166185648352 96090129198336 100992686810496 102486661467456 103096701119048 103481677598208 108761355026688 111027216589744 112105150731392 117127613105664 117824801278912 120593530290688 126888247531136 134656915747328 136648881956608 154645051678572 166540824884616 168157726097088 176737201918368 180419226958334 180890295436032 190332371296704 192180258396672 201985373620992 204973322934912 206193402238096 217522710053376 222054433179488 224210301462784 235649602557824 253776495062272 270628840437501 273297763913216 309290103357144 333081649769232 336315452194176 353474403836736 360838453916668 361780590872064 380664742593408 403970747241984 409946645869824 412386804476192 444108866358976 448420602925568 471299205115648 507552990124544 541257680875002 618580206714288 666163299538464 672630904388352 706948807673472 721676907833336 761329485186816 819893291739648 824773608952384 888217732717952 942598410231296 1082515361750004 1237160413428576 1332326599076928 1345261808776704 1413897615346944 1443353815666672 1522658970373632 1649547217904768 1776435465435904 2165030723500008 2474320826857152 2664653198153856 2827795230693888 2886707631333344 3299094435809536 3552870930871808 4330061447000016 4948641653714304 5329306396307712 5773415262666688 6598188871619072 8660122894000032 9897283307428608 10658612792615424 11546830525333376 17320245788000064 19794566614857216 23093661050666752 34640491576000128 46187322101333504 69280983152000256 138561966304000512
- Sum of all divisors σ(n): 471944318576385600
- Sum of proper divisors (its aliquot sum) s(n): 333382352272385088
- 138561966304000512 is an abundant number, because the sum of its proper divisors (333382352272385088) is greater than itself. Its abundance is 194820385968384576
Bases of 138561966304000512
- Binary: 1111011000100010101011111110011001110110111111010000000002
- Hexadecimal: 0x1EC455FCCEDFA00
- Base-36: 11WC48K5G6IO
Squares and roots of 138561966304000512
- 138561966304000512 squared (1385619663040005122) is 19199418506030973307869495296262144
- 138561966304000512 cubed (1385619663040005123) is 2660309180089067574367611513128495323260387462217728
-
The
square root of 138561966304000512 is 372239125.1655318837 -
The
cube root of 138561966304000512 is 517465.4353028749
Scales and comparisons
How big is 138561966304000512?- 138,561,966,304,000,512 seconds is equal to 4,405,841,928 years, 8 weeks, 3 days, 20 hours, 35 minutes, 12 seconds.
-
To count from 1 to 138,561,966,304,000,512 would take you about thirteen billion, two hundred seventeen million, five hundred twenty-five thousand, seven hundred eighty-four 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 138561966304000512 cubic inches would be around 43122.1 feet tall.
Recreational maths with 138561966304000512
- 138561966304000512 backwards is 215000403669165831
- The number of decimal digits it has is: 18
- The sum of 138561966304000512's digits is 60
- More coming soon!
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"Number 138561966304000512 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138561966304000512 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138561966304000512/
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The information we have on file for 138561966304000512 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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