138727475384472000
138,727,475,384,472,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138727475384472000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2352 divisors.
138727475384472000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred fifty-two divisors.
Prime factorization of 138727475384472000:
26 × 32 × 53 × 13 × 316 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 31 × 31 × 31 × 31 × 31 × 31 × 167)See below for interesting mathematical facts about the number 138727475384472000 from the Numbermatics database.
Names of 138727475384472000
- Cardinal: 138727475384472000 can be written as One hundred thirty-eight quadrillion, seven hundred twenty-seven trillion, four hundred seventy-five billion, three hundred eighty-four million, four hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.38727475384472 × 1017
Factors of 138727475384472000
Divisors of 138727475384472000
- Number of divisors d(n): 2352
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 31 32 36 39 40 45 48 50 52 60 62 64 65 72 75 78 80 90 93 96 100 104 117 120 124 125 130 144 150 155 156 160 167 180 186 192 195 200 208 225 234 240 248 250 260 279 288 300 310 312 320 325 334 360 372 375 390 400 403 416 450 465 468 480 496 500 501 520 558 576 585 600 620 624 650 668 720 744 750 775 780 800 806 832 835 900 930 936 960 961 975 992 1000 1002 1040 1116 1125 1170 1200 1209 1240 1248 1300 1336 1395 1440 1488 1500 1503 1550 1560 1600 1612 1625 1670 1800 1860 1872 1922 1950 1984 2000 2004 2015 2080 2171 2232 2250 2325 2340 2400 2418 2480 2496 2505 2600 2672 2790 2880 2883 2925 2976 3000 3006 3100 3120 3224 3250 3340 3600 3627 3720 3744 3844 3875 3900 4000 4008 4030 4160 4175 4342 4464 4500 4650 4680 4800 4805 4836 4875 4960 5010 5177 5200 5344 5580 5766 5850 5952 6000 6012 6045 6200 6240 6448 6500 6513 6680 6975 7200 7254 7440 7488 7515 7688 7750 7800 8000 8016 8060 8350 8649 8684 8928 9000 9300 9360 9610 9672 9750 9920 10020 10075 10354 10400 10688 10855 11160 11532 11625 11700 12000 12024 12090 12400 12480 12493 12525 12896 13000 13026 13360 13950 14400 14415 14508 14625 14880 15030 15376 15500 15531 15600 16032 16120 16700 17298 17368 17856 18000 18135 18600 18720 19220 19344 19500 19539 20040 20150 20708 20800 20875 21710 22320 23064 23250 23400 24000 24025 24048 24180 24800 24986 25050 25792 25885 26000 26052 26720 27900 28830 29016 29250 29760 29791 30060 30225 30752 31000 31062 31200 32064 32240 32565 33400 34596 34736 34875 36000 36270 37200 37440 37479 37575 38440 38688 39000 39078 40080 40300 41416 41750 43245 43420 44640 46128 46500 46593 46800 48050 48096 48360 49600 49972 50100 50375 51770 52000 52104 53440 54275 55800 57660 58032 58500 59582 60120 60450 61504 62000 62124 62400 62465 62625 64480 65130 66800 67301 69192 69472 69750 72000 72075 72540 74400 74958 75150 76880 77376 77655 78000 78156 80160 80600 82832 83500 86490 86840 89280 89373 90675 92256 93000 93186 93600 96100 96192 96720 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12780053006400 12979741334625 13339180325430 13398442668000 13769476464960 13845057423600 13984624534725 14228459013792 14343204651000 14435741455200 14821311472700 14916932837040 15414163931608 15538471705250 15975066258000 16039712728000 16614068908320 17211845581200 17306321779500 17340934423059 17785573767240 17900319404448 18044676819000 18460076564800 18526639340875 18646166046300 19124272868000 19267704914510 19889243782720 20767586135400 21300088344000 21342688520688 21514806976500 22231967209050 22375399255560 22949127441600 23075095706000 23121245897412 23307707557875 23714098356320 24059569092000 24861554728400 25959482669250 26678360650860 26796885336000 27690114847200 27969249069450 28456918027584 28686409302000 28871482910400 28901557371765 29642622945400 29833865674080 30828327863216 31076943410500 31950132516000 33228137816640 33347950813575 34423691162400 34612643559000 34681868846118 35571147534480 35800638808896 36089353638000 37053278681750 37292332092600 38248545736000 38535409829020 41535172270800 42685377041376 43029613953000 44463934418100 44750798511120 46150191412000 46242491794824 46615415115750 47428196712640 48119138184000 48169262286275 49723109456800 51918965338500 53356721301720 55380229694400 55579918022625 55938498138900 57372818604000 57803114743530 59285245890800 59667731348160 61656655726432 62153886821000 63900265032000 66695901627150 68847382324800 69225287118000 69363737692236 69923122673625 71142295068960 72178707276000 74106557363500 74584664185200 77070819658040 83070344541600 85370754082752 86059227906000 86704672115295 88927868836200 89501597022240 92300382824000 92484983589648 93230830231500 96338524572550 99446218913600 103837930677000 106713442603440 111159836045250 111876996277800 114745637208000 115606229487060 118570491781600 123313311452864 124307773642000 133391803254300 138450574236000 138727475384472 139846245347250 142284590137920 144357414552000 144507786858825 148213114727000 149169328370400 154141639316080 166140689083200 166739754067875 172118455812000 173409344230590 177855737672400 179003194044480 184969967179296 186461660463000 192677049145100 207675861354000 213426885206880 222319672090500 223753992555600 231212458974120 237140983563200 240846311431375 248615547284000 266783606508600 276901148472000 277454950768944 279692490694500 289015573717650 296426229454000 298338656740800 308283278632160 333479508135750 344236911624000 346818688461180 355711475344800 369939934358592 372923320926000 385354098290200 415351722708000 426853770413760 433523360576475 444639344181000 447507985111200 462424917948240 481692622862750 497231094568000 533567213017200 554909901537888 559384981389000 578031147435300 592852458908000 616566557264320 666959016271500 693637376922360 711422950689600 722538934294125 745846641852000 770708196580400 830703445416000 867046721152950 889278688362000 895015970222400 924849835896480 963385245725500 1067134426034400 1109819803075776 1118769962778000 1156062294870600 1185704917816000 1333918032543000 1387274753844720 1445077868588250 1491693283704000 1541416393160800 1734093442305900 1778557376724000 1849699671792960 1926770491451000 2134268852068800 2167616802882375 2237539925556000 2312124589741200 2667836065086000 2774549507689440 2890155737176500 3082832786321600 3468186884611800 3557114753448000 3853540982902000 4335233605764750 4475079851112000 4624249179482400 5335672130172000 5549099015378880 5780311474353000 6936373769223600 7707081965804000 8670467211529500 9248498358964800 10671344260344000 11560622948706000 13872747538447200 15414163931608000 17340934423059000 23121245897412000 27745495076894400 34681868846118000 46242491794824000 69363737692236000 138727475384472000
- Sum of all divisors σ(n): 555545445033668544
- Sum of proper divisors (its aliquot sum) s(n): 416817969649196544
- 138727475384472000 is an abundant number, because the sum of its proper divisors (416817969649196544) is greater than itself. Its abundance is 278090494264724544
Bases of 138727475384472000
- Binary: 1111011001101101111100111011000101110000011010001110000002
- Hexadecimal: 0x1ECDBE762E0D1C0
- Base-36: 11XYSADQN740
Squares and roots of 138727475384472000
- 138727475384472000 squared (1387274753844720002) is 19245312426549284684218718784000000
- 138727475384472000 cubed (1387274753844720003) is 2669853605920588986558091785750329648322048000000000
-
The
square root of 138727475384472000 is 372461374.3523910695 -
The
cube root of 138727475384472000 is 517671.3868417403
Scales and comparisons
How big is 138727475384472000?- 138,727,475,384,472,000 seconds is equal to 4,411,104,604 years, 50 weeks, 3 days, 4 hours.
-
To count from 1 to 138,727,475,384,472,000 would take you about thirteen billion, two hundred thirty-three million, three hundred thirteen thousand, eight hundred fourteen 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 138727475384472000 cubic inches would be around 43139.3 feet tall.
Recreational maths with 138727475384472000
- 138727475384472000 backwards is 000274483574727831
- 138727475384472000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138727475384472000's digits is 72
- More coming soon!
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"Number 138727475384472000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138727475384472000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138727475384472000/
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The information we have on file for 138727475384472000 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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