138068463491039232
138,068,463,491,039,232 is an even composite number composed of six prime numbers multiplied together.
What does the number 138068463491039232 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138068463491039232 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138068463491039232:
214 × 33 × 29 × 421 × 3121 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 29 × 421 × 3121 × 8191)See below for interesting mathematical facts about the number 138068463491039232 from the Numbermatics database.
Names of 138068463491039232
- Cardinal: 138068463491039232 can be written as One hundred thirty-eight quadrillion, sixty-eight trillion, four hundred sixty-three billion, four hundred ninety-one million, thirty-nine thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.38068463491039232 × 1017
Factors of 138068463491039232
Divisors of 138068463491039232
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 421 432 464 512 522 576 696 768 783 842 864 928 1024 1044 1152 1263 1392 1536 1566 1684 1728 1856 2048 2088 2304 2526 2784 3072 3121 3132 3368 3456 3712 3789 4096 4176 4608 5052 5568 6144 6242 6264 6736 6912 7424 7578 8191 8192 8352 9216 9363 10104 11136 11367 12209 12288 12484 12528 13472 13824 14848 15156 16382 16384 16704 18432 18726 20208 22272 22734 24418 24573 24576 24968 25056 26944 27648 28089 29696 30312 32764 33408 36627 36864 37452 40416 44544 45468 48836 49146 49152 49936 50112 53888 55296 56178 59392 60624 65528 66816 73254 73719 73728 74904 80832 84267 89088 90509 90936 97672 98292 99872 100224 107776 109881 110592 112356 118784 121248 131056 133632 146508 147438 147456 149808 161664 168534 178176 181018 181872 195344 196584 199744 200448 215552 219762 221157 221184 224712 237539 237568 242496 262112 267264 271527 293016 294876 299616 323328 329643 337068 356352 362036 363744 390688 393168 399488 400896 431104 439524 442314 442368 449424 475078 475136 484992 524224 534528 543054 586032 589752 599232 646656 659286 674136 712617 712704 724072 727488 781376 786336 798976 801792 814581 862208 879048 884628 898848 950156 969984 1048448 1069056 1086108 1172064 1179504 1198464 1293312 1313941 1318572 1348272 1425234 1425408 1448144 1454976 1562752 1572672 1597952 1603584 1629162 1724416 1758096 1769256 1797696 1900312 1939968 2096896 2137851 2138112 2172216 2344128 2359008 2396928 2443743 2586624 2627882 2637144 2696544 2850468 2896288 2909952 3125504 3145344 3195904 3207168 3258324 3448411 3448832 3516192 3538512 3595392 3800624 3879936 3941823 4193792 4275702 4276224 4344432 4688256 4718016 4793856 4887486 5173248 5255764 5274288 5393088 5700936 5792576 5819904 6251008 6290688 6391808 6413553 6414336 6516648 6896822 6897664 7032384 7077024 7190784 7601248 7759872 7883646 8387584 8551404 8688864 9376512 9436032 9587712 9774972 10345233 10346496 10511528 10548576 10786176 11401872 11585152 11639808 11825469 12502016 12581376 12783616 12827106 12828672 13033296 13793644 14064768 14154048 14381568 15202496 15519744 15767292 16775168 17102808 17377728 18753024 18872064 19175424 19549944 20690466 20692992 21023056 21097152 21572352 22803744 23170304 23279616 23650938 25004032 25162752 25564111 25567232 25654212 26066592 27587288 28129536 28308096 28763136 30404992 31035699 31039488 31534584 33550336 34205616 34755456 35476407 37506048 37744128 38104289 38350848 39099888 41380932 42046112 42194304 43144704 45607488 46340608 46559232 47301876 50008064 50325504 51128222 51134464 51308424 52133184 55174576 56259072 56616192 57526272 60809984 62071398 62078976 63069168 67100672 68411232 69510912 70952814 75012096 75488256 76208578 76692333 76701696 78199776 82761864 84092224 84388608 86289408 91214976 92681216 93107097 93118464 94603752 100003919 100016128 100651008 102256444 102616848 104266368 110349152 112518144 113232384 114312867 115052544 121619968 124142796 126138336 134201344 136822464 139021824 141905628 150024192 150976512 152417156 153384666 153403392 156399552 165523728 168184448 168777216 172578816 182429952 185362432 186214194 186236928 189207504 200007838 200032256 201302016 204512888 205233696 208532736 220698304 225036288 226464768 228625734 230076999 230105088 243239936 248285592 252276672 273644928 278043648 283811256 300011757 300048384 301953024 304834312 306769332 312799104 331047456 336368896 337554432 342938601 345157632 364859904 370724864 372428388 378415008 400015676 402604032 409025776 410467392 417065472 441396608 450072576 452929536 457251468 460153998 460210176 486479872 496571184 504553344 547289856 556087296 567622512 600023514 600096768 603906048 609668624 613538664 625598208 662094912 672737792 675108864 685877202 690230997 690315264 729719808 741359219 741449728 744856776 756830016 800031352 818051552 820934784 834130944 882793216 900035271 900145152 905859072 914502936 920307996 972959744 993142368 1009106688 1028815803 1094579712 1112174592 1135245024 1200047028 1207812096 1219337248 1227077328 1251196416 1324189824 1345475584 1350217728 1371754404 1380461994 1380630528 1459439616 1482718438 1482899456 1489713552 1513660032 1600062704 1636103104 1641869568 1668261888 1765586432 1800070542 1800290304 1811718144 1829005872 1840615992 1945919488 1986284736 2018213376 2057631606 2189159424 2224077657 2224349184 2270490048 2400094056 2438674496 2454154656 2502392832 2648379648 2690951168 2700105813 2700435456 2743508808 2760923988 2918879232 2965436876 2979427104 3027320064 3200125408 3272206208 3283739136 3336523776 3531172864 3600141084 3623436288 3658011744 3681231984 3891838976 3972569472 4036426752 4115263212 4378318848 4448155314 4448698368 4540980096 4800188112 4877348992 4908309312 5004785664 5296759296 5381902336 5400211626 5400870912 5487017616 5521847976 5837758464 5930873752 5958854208 6054640128 6400250816 6544412416 6567478272 6672232971 6673047552 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5618020161582 5618706038784 5654372327424 6073214722048 6199194661056 6832366562304 7373088940032 7490693548776 8265592881408 8427030242373 8428059058176 9109822083072 9298791991584 9987591398368 10248549843456 11020790508544 11059633410048 11236040323164 11308744654848 12146429444096 12398389322112 13664733124608 14746177880064 14981387097552 16531185762816 16854060484746 16856118116352 18219644166144 18597583983168 19975182796736 20497099686912 22041581017088 22119266820096 22472080646328 24796778644224 27329466249216 29962774195104 33062371525632 33708120969492 36439288332288 37195167966336 39950365593472 40994199373824 44083162034176 44238533640192 44944161292656 49593557288448 54658932498432 59925548390208 66124743051264 67416241938984 74390335932672 79900731186944 81988398747648 88166324068352 89888322585312 99187114576896 109317864996864 119851096780416 132249486102528 134832483877968 148780671865344 159801462373888 163976797495296 176332648136704 179776645170624 198374229153792 239702193560832 264498972205056 269664967755936 297561343730688 319602924747776 327953594990592 359553290341248 396748458307584 479404387121664 528997944410112 539329935511872 595122687461376 639205849495552 719106580682496 793496916615168 958808774243328 1078659871023744 1190245374922752 1278411698991104 1438213161364992 1586993833230336 1917617548486656 2157319742047488 2380490749845504 2556823397982208 2876426322729984 3835235096973312 4314639484094976 4760981499691008 5113646795964416 5752852645459968 7670470193946624 8629278968189952 11505705290919936 15340940387893248 17258557936379904 23011410581839872 34517115872759808 46022821163679744 69034231745519616 138068463491039232
- Sum of all divisors σ(n): 424378350580531200
- Sum of proper divisors (its aliquot sum) s(n): 286309887089491968
- 138068463491039232 is an abundant number, because the sum of its proper divisors (286309887089491968) is greater than itself. Its abundance is 148241423598452736
Bases of 138068463491039232
- Binary: 1111010101000010010001001001110010001000101000000000000002
- Hexadecimal: 0x1EA848939114000
- Base-36: 11RH6OHWH6O0
Squares and roots of 138068463491039232
- 138068463491039232 squared (1380684634910392322) is 19062900610776433311000359363149824
- 138068463491039232 cubed (1380684634910392323) is 2631985397012295459479811346450588651805610677895168
-
The
square root of 138068463491039232 is 371575649.7552540539 -
The
cube root of 138068463491039232 is 516850.3689119681
Scales and comparisons
How big is 138068463491039232?- 138,068,463,491,039,232 seconds is equal to 4,390,150,065 years, 11 weeks, 1 day, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,068,463,491,039,232 would take you about thirteen billion, one hundred seventy million, four hundred fifty thousand, one hundred ninety-five 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 138068463491039232 cubic inches would be around 43070.9 feet tall.
Recreational maths with 138068463491039232
- 138068463491039232 backwards is 232930194364860831
- 138068463491039232 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138068463491039232's digits is 72
- More coming soon!
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"Number 138068463491039232 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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The information we have on file for 138068463491039232 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 138068463491039232, math, Factors of 138068463491039232, curriculum, school, college, exams, university, Prime factorization of 138068463491039232, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, sixty-eight trillion, four hundred sixty-three billion, four hundred ninety-one million, thirty-nine thousand, two hundred thirty-two.