138566401385256000
138,566,401,385,256,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138566401385256000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3024 divisors.
138566401385256000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 138566401385256000:
26 × 32 × 53 × 133 × 172 × 17412
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 17 × 17 × 1741 × 1741)See below for interesting mathematical facts about the number 138566401385256000 from the Numbermatics database.
Names of 138566401385256000
- Cardinal: 138566401385256000 can be written as One hundred thirty-eight quadrillion, five hundred sixty-six trillion, four hundred one billion, three hundred eighty-five million, two hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.38566401385256 × 1017
Factors of 138566401385256000
Divisors of 138566401385256000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 30 32 34 36 39 40 45 48 50 51 52 60 64 65 68 72 75 78 80 85 90 96 100 102 104 117 120 125 130 136 144 150 153 156 160 169 170 180 192 195 200 204 208 221 225 234 240 250 255 260 272 288 289 300 306 312 320 325 338 340 360 375 390 400 408 416 425 442 450 468 480 500 507 510 520 544 576 578 585 600 612 624 650 663 676 680 720 750 765 780 800 816 832 845 850 867 884 900 936 960 975 1000 1014 1020 1040 1088 1105 1125 1156 1170 1200 1224 1248 1275 1300 1326 1352 1360 1440 1445 1500 1521 1530 1560 1600 1625 1632 1690 1700 1734 1741 1768 1800 1872 1950 1989 2000 2028 2040 2080 2125 2197 2210 2250 2312 2340 2400 2448 2496 2535 2550 2600 2601 2652 2704 2720 2873 2880 2890 2925 3000 3042 3060 3120 3250 3264 3315 3380 3400 3468 3482 3536 3600 3744 3757 3825 3900 3978 4000 4056 4080 4160 4225 4250 4335 4394 4420 4500 4624 4680 4800 4875 4896 5070 5100 5200 5202 5223 5304 5408 5440 5525 5746 5780 5850 6000 6084 6120 6240 6375 6500 6591 6630 6760 6800 6936 6964 7072 7200 7225 7488 7514 7605 7650 7800 7956 8000 8112 8160 8450 8500 8619 8670 8705 8788 8840 9000 9248 9360 9750 9792 9945 10140 10200 10400 10404 10446 10608 10816 10985 11050 11271 11492 11560 11700 12000 12168 12240 12480 12675 12750 13000 13005 13182 13260 13520 13600 13872 13928 14144 14365 14400 14450 14625 15028 15210 15300 15600 15669 15912 16224 16320 16575 16900 17000 17238 17340 17410 17576 17680 18000 18496 18720 18785 19125 19500 19773 19890 20280 20400 20800 20808 20892 21125 21216 21675 21970 22100 22542 22633 22984 23120 23400 24000 24336 24480 25350 25500 25857 26000 26010 26115 26364 26520 27040 27200 27625 27744 27856 28730 28900 29250 29597 30056 30420 30600 31200 31338 31824 32448 32955 33150 33800 33813 34000 34476 34680 34820 35152 35360 36000 36125 37349 37440 37570 38025 38250 39000 39546 39780 40560 40800 41616 41784 42250 42432 43095 43350 43525 43940 44200 45084 45266 45968 46240 46800 48672 48841 48960 49725 50700 51000 51714 52000 52020 52230 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69283200692628 69666365704000 71059693018080 74020513560500 76981334102920 78374661417000 79590121416000 79911419484000 81509647873680 81991953482400 84905883201750 85271631621696 86604000865785 88824616272600 90566275415200 91102170536000 92377600923504 95893703380800 96226667628650 101887059842100 102489941853000 104499548556000 106589539527120 108679530498240 111030770340750 113207844269000 115472001154380 118432821696800 119867129226000 123170134564672 125399458267200 127358824802625 133236924408900 135849413122800 136653255804000 138566401385256 142119386036160 144340001442975 148041027121000 153962668205840 156749322834000 159822838968000 163019295747360 163983906964800 166546155511125 169811766403500 173208001731570 177649232545200 181132550830400 184755201847008 192453335257300 203774119684200 204979883706000 208999097112000 213179079054240 222061540681500 226415688538000 230944002308760 236865643393600 239734258452000 240566669071625 254717649605250 266473848817800 271698826245600 273306511608000 277132802770512 288680002885950 296082054242000 307925336411680 313498645668000 326038591494720 333092311022250 339623532807000 346416003463140 355298465090400 369510403694016 384906670514600 407548239368400 409959767412000 426358158108480 433020004328925 444123081363000 452831377076000 461888004617520 479468516904000 481133338143250 509435299210500 532947697635600 543397652491200 554265605541024 577360005771900 592164108484000 615850672823360 626997291336000 666184622044500 679247065614000 692832006926280 710596930180800 721700007214875 769813341029200 815096478736800 819919534824000 866040008657850 888246162726000 905662754152000 923776009235040 962266676286500 1018870598421000 1065895395271200 1108531211082048 1154720011543800 1184328216968000 1332369244089000 1358494131228000 1385664013852560 1443400014429750 1539626682058400 1630192957473600 1732080017315700 1776492325452000 1847552018470080 1924533352573000 2037741196842000 2131790790542400 2165100021644625 2309440023087600 2664738488178000 2716988262456000 2771328027705120 2886800028859500 3079253364116800 3464160034631400 3552984650904000 3849066705146000 4075482393684000 4330200043289250 4618880046175200 5329476976356000 5542656055410240 5773600057719000 6928320069262800 7698133410292000 8150964787368000 8660400086578500 9237760092350400 10658953952712000 11547200115438000 13856640138525600 15396266820584000 17320800173157000 23094400230876000 27713280277051200 34641600346314000 46188800461752000 69283200692628000 138566401385256000
- Sum of all divisors σ(n): 570734425591228080
- Sum of proper divisors (its aliquot sum) s(n): 432168024205972080
- 138566401385256000 is an abundant number, because the sum of its proper divisors (432168024205972080) is greater than itself. Its abundance is 293601622820716080
Bases of 138566401385256000
- Binary: 1111011000100100101101000011011000101111101010100010000002
- Hexadecimal: 0x1EC49686C5F5440
- Base-36: 11WDOU0ABGW0
Squares and roots of 138566401385256000
- 138566401385256000 squared (1385664013852560002) is 19200647592859875915734185536000000
- 138566401385256000 cubed (1385664013852560003) is 2660564641209070991984689718181865318857216000000000
-
The
square root of 138566401385256000 is 372245082.4191717915 -
The
cube root of 138566401385256000 is 517470.9562425383
Scales and comparisons
How big is 138566401385256000?- 138,566,401,385,256,000 seconds is equal to 4,405,982,950 years, 1 week, 3 days, 20 hours.
-
To count from 1 to 138,566,401,385,256,000 would take you about thirteen billion, two hundred seventeen million, nine hundred forty-eight thousand, eight hundred fifty 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 138566401385256000 cubic inches would be around 43122.6 feet tall.
Recreational maths with 138566401385256000
- 138566401385256000 backwards is 000652583104665831
- The number of decimal digits it has is: 18
- The sum of 138566401385256000's digits is 63
- More coming soon!
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"Number 138566401385256000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 138566401385256000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138566401385256000/
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Numbermatics. 2024. "Number 138566401385256000 - Facts about the integer". https://numbermatics.com/n/138566401385256000/
The information we have on file for 138566401385256000 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 138566401385256000, math, Factors of 138566401385256000, curriculum, school, college, exams, university, Prime factorization of 138566401385256000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, five hundred sixty-six trillion, four hundred one billion, three hundred eighty-five million, two hundred fifty-six thousand.