138561014026208025
138,561,014,026,208,025 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138561014026208025 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
138561014026208025 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138561014026208025:
33 × 52 × 72 × 292 × 612 × 83 × 1272
(3 × 3 × 3 × 5 × 5 × 7 × 7 × 29 × 29 × 61 × 61 × 83 × 127 × 127)See below for interesting mathematical facts about the number 138561014026208025 from the Numbermatics database.
Names of 138561014026208025
- Cardinal: 138561014026208025 can be written as One hundred thirty-eight quadrillion, five hundred sixty-one trillion, fourteen billion, twenty-six million, two hundred eight thousand and twenty-five.
Scientific notation
- Scientific notation: 1.38561014026208025 × 1017
Factors of 138561014026208025
Divisors of 138561014026208025
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 29 35 45 49 61 63 75 83 87 105 127 135 145 147 175 183 189 203 225 245 249 261 305 315 381 415 427 435 441 525 549 581 609 635 675 725 735 747 783 841 889 915 945 1015 1143 1225 1245 1281 1305 1323 1421 1525 1575 1647 1743 1769 1827 1905 2075 2135 2175 2205 2241 2407 2523 2667 2745 2905 2989 3045 3175 3429 3675 3683 3721 3735 3843 3915 4067 4205 4263 4445 4575 4725 5063 5075 5229 5307 5481 5715 5887 6223 6225 6405 6525 6615 7105 7221 7569 7747 8001 8235 8715 8845 8967 9135 9525 10541 10675 11025 11049 11163 11205 11529 12035 12201 12383 12615 12789 13335 13725 14525 14945 15189 15225 15687 15921 16129 16849 17145 17661 18415 18605 18669 18675 19215 19575 20335 21025 21315 21663 22225 22707 23241 24003 25315 25781 26047 26145 26535 26901 27405 28575 29435 31115 31623 32025 33075 33147 33489 35441 35525 36105 36603 37149 37845 38367 38735 40005 41175 41209 43575 44225 44835 45567 45675 47763 48387 50547 51301 52705 52983 54229 55245 55815 56007 56025 57645 60175 61005 61915 63075 63945 64989 66675 69723 69803 73787 74725 75945 77343 78141 78435 79605 80645 80703 84245 85725 86681 88305 92075 93025 93345 94869 96075 99441 100467 101675 106323 106575 106807 107909 108315 109809 111447 112903 113535 116205 117943 120015 123627 126575 128905 130235 130725 132675 134505 136701 137025 145161 146827 147175 151641 153903 155575 158115 158949 162687 165735 167445 168021 177205 180467 180525 182329 183015 185745 189225 191835 193675 200025 206045 209169 209409 221361 224175 224663 227835 232029 234423 238815 241935 248087 252735 256505 260043 263525 264915 271145 276225 279075 280035 284607 288225 305025 305689 308843 309575 318969 319725 320421 323727 324945 334341 338709 348615 349015 353829 359107 368935 370881 379603 379725 386715 390705 392175 398025 403225 403515 421225 433405 435483 440481 441525 454923 461709 466725 467741 472567 474345 488061 488621 497205 502335 516509 531615 534035 539545 541401 541575 546987 549045 557235 564515 567675 581025 589715 600075 618135 628227 643001 644525 651175 664083 672525 673989 683505 696087 703269 725805 734135 744261 747649 755363 758205 769515 780129 790321 790575 794745 813435 828675 837225 840105 886025 902335 911645 915075 917067 926529 928725 956907 959175 961263 971181 983869 1016127 1027789 1030225 1045845 1047045 1061487 1077321 1106805 1112643 1123315 1138809 1139175 1160145 1172115 1194075 1209675 1240435 1263675 1282525 1300215 1321443 1324575 1338707 1355725 1385127 1400175 1403223 1417701 1423035 1464183 1465863 1528445 1544215 1549527 1572641 1594845 1602105 1618635 1624203 1624725 1640961 1671705 1693545 1743075 1745075 1769145 1795535 1844675 1854405 1884681 1898015 1929003 1933575 1953525 1992249 2017575 2021967 2139823 2161901 2167025 2177415 2202405 2232783 2242947 2266089 2274615 2308545 2338705 2340387 2362835 2370963 2371725 2440305 2443105 2486025 2511675 2513749 2582545 2658075 2670175 2697725 2707005 2734935 2745225 2751201 2779587 2786175 2822575 2883789 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1074907986705 1094694955767 1120798968075 1154530800535 1174813376175 1192384269405 1220425543015 1227257150175 1243290658575 1261836589225 1279241231835 1284054286725 1297302742575 1300126802967 1303208280675 1362783516363 1379169419075 1393399242025 1442217163947 1460551012725 1484396743545 1489502972601 1504871181387 1569118555305 1598516561025 1616343120749 1644738726645 1716925195175 1718160010245 1740606922005 1766571224915 1773217824525 1791513311175 1824491592945 1854279210789 1877851302075 1985029497675 1987307115675 2078155440963 2132068719725 2166878004945 2196765977427 2237923185435 2271305860605 2302634217303 2403695273245 2473199714881 2473994572575 2482504954335 2508118635645 2555109148725 2615197592175 2628991822905 2700941775525 2741231211075 2863600017075 2901011536675 3033629206923 3040819321575 3090465351315 3133092459609 3179828204847 3362396904225 3365173382543 3463592401605 3577152808215 3611463341575 3661276629045 3729871975725 3785509767675 3837723695505 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22258797433929 22265951153175 23536778329575 24245146811235 25280243391025 26109103830075 26498568373725 27302662862307 27367373894175 29325082333589 30286560442887 31172331614445 32503170074175 32951489661405 34069587909075 35392340747435 36055429098675 37097995723215 37237574315025 37621779534675 37703677286043 40408578018725 43641264260223 45504438103845 46356980269725 47697423072705 50477600738145 51953886024075 54919149435675 57565855432575 61829992872025 62839462143405 63706213345383 64899772377615 66776392301787 72735440433705 75840730173075 78327311490225 79495705121175 84129334563575 87975247000767 90859681328661 97509510222525 104732436905675 106177022242305 108166287296025 111293987169645 113111031858129 121225734056175 136513314311535 146625411667945 151432802214435 155861658072225 164757448307025 176961703737175 185489978616075 188518386430215 191118640036149 205275576335123 218206321301115 227522190519225 238487115363525 252388003690725 263925741002301 314197310717025 318531066726915 324498861888075 333881961508935 363677202168525 439876235003835 454298406643305 530885111211525 556469935848225 565555159290645 615826729005369 682566571557675 733127058339725 757164011072175 791777223006903 942591932151075 955593200180745 1026377881675615 1091031606505575 1319628705011505 1592655333634575 1669409807544675 1847480187016107 2199381175019175 2271492033216525 2827775796453225 3079133645026845 3958886115034515 4777966000903725 5131889408378075 5542440561048321 6598143525057525 9237400935080535 15395668225134225 19794430575172575 27712202805241605 46187004675402675 138561014026208025
- Sum of all divisors σ(n): 318031933034481120
- Sum of proper divisors (its aliquot sum) s(n): 179470919008273095
- 138561014026208025 is an abundant number, because the sum of its proper divisors (179470919008273095) is greater than itself. Its abundance is 40909904982065070
Bases of 138561014026208025
- Binary: 1111011000100010010000010000101001100000000000011000110012
- Hexadecimal: 0x1EC448214C00319
- Base-36: 11WBS337U789
Squares and roots of 138561014026208025
- 138561014026208025 squared (1385610140262080252) is 19199154607971017038561560574400625
- 138561014026208025 cubed (1385610140262080253) is 2660254330926408527418936548433420385806655940015625
-
The
square root of 138561014026208025 is 372237846.0422959531 -
The
cube root of 138561014026208025 is 517464.2498597975
Scales and comparisons
How big is 138561014026208025?- 138,561,014,026,208,025 seconds is equal to 4,405,811,648 years, 35 weeks, 1 day, 3 hours, 33 minutes, 45 seconds.
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To count from 1 to 138,561,014,026,208,025 would take you about thirteen billion, two hundred seventeen million, four hundred thirty-four thousand, nine hundred forty-six 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 138561014026208025 cubic inches would be around 43122 feet tall.
Recreational maths with 138561014026208025
- 138561014026208025 backwards is 520802620410165831
- The number of decimal digits it has is: 18
- The sum of 138561014026208025's digits is 54
- More coming soon!
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"Number 138561014026208025 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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The information we have on file for 138561014026208025 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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