138013689307654870113825728
138,013,689,307,654,870,113,825,728 is an even composite number composed of four prime numbers multiplied together.
What does the number 138013689307654870113825728 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 336 divisors.
138013689307654870113825728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138013689307654870113825728:
26 × 533 × 12173 × 20032
(2 × 2 × 2 × 2 × 2 × 2 × 53 × 53 × 53 × 1217 × 1217 × 1217 × 2003 × 2003)See below for interesting mathematical facts about the number 138013689307654870113825728 from the Numbermatics database.
Names of 138013689307654870113825728
- Cardinal: 138013689307654870113825728 can be written as One hundred thirty-eight septillion, thirteen sextillion, six hundred eighty-nine quintillion, three hundred seven quadrillion, six hundred fifty-four trillion, eight hundred seventy billion, one hundred thirteen million, eight hundred twenty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38013689307654870113825728 × 1026
Factors of 138013689307654870113825728
Divisors of 138013689307654870113825728
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 4 8 16 32 53 64 106 212 424 848 1217 1696 2003 2434 2809 3392 4006 4868 5618 8012 9736 11236 16024 19472 22472 32048 38944 44944 64096 64501 77888 89888 106159 128192 129002 148877 179776 212318 258004 297754 424636 516008 595508 849272 1032016 1191016 1481089 1698544 2064032 2382032 2437651 2962178 3397088 3418553 4012009 4128064 4764064 4875302 5626427 5924356 6794176 6837106 8024018 9528128 9750604 11252854 11848712 13674212 16048036 19501208 22505708 23697424 27348424 32096072 39002416 45011416 47394848 54696848 64192144 78004832 78497717 90022832 94789696 109393696 128384288 129195503 156009664 156995434 180045664 181183309 212636477 218787392 256768576 258391006 298200631 313990868 360091328 362366618 425272954 516782012 596401262 627981736 724733236 850545908 1033564024 1192802524 1255963472 1449466472 1701091816 1802485313 2067128048 2385605048 2511926944 2898932944 2966621267 3402183632 3604970626 4134256096 4160379001 4771210096 4882614953 5023853888 5797865888 5933242534 6804367264 6847361659 7209941252 8268512192 8320758002 9542420192 9765229906 11269733281 11595731776 11866485068 13608734528 13694723318 14419882504 16641516004 19084840384 19530459812 22539466562 23732970136 27389446636 28839765008 33283032008 39060919624 45078933124 47465940272 54778893272 57679530016 66566064016 78121839248 90157866248 94931880544 95531721589 109557786544 115359060032 133132128032 156243678496 157230927151 180315732496 189863761088 191063443178 219115573088 220500087053 258778592509 266264256064 312487356992 314461854302 360631464992 362910167927 382126886356 438231146176 441000174106 517557185018 597295863893 628923708604 721262929984 725820335854 764253772712 882000348212 1035114370036 1194591727786 1257847417208 1451640671708 1528507545424 1764000696424 2070228740072 2389183455572 2515694834416 2903281343416 3057015090848 3528001392848 3610378081939 4140457480144 4778366911144 5031389668832 5063181244217 5806562686832 5942142397801 6114030181696 7056002785696 7220756163878 8280914960288 8333239139003 9556733822288 10062779337664 10126362488434 11613125373664 11884284795602 13715265402977 14112005571392 14441512327756 16561829920576 16666478278006 19113467644576 20252724976868 23226250747328 23768569591204 27430530805954 28883024655512 33332956556012 38226935289152 40505449953736 47537139182408 54861061611908 57766049311024 66665913112024 81010899907472 95074278364816 109722123223816 115532098622048 133331826224048 162021799814944 190148556729632 191350038342767 219444246447632 231064197244096 266663652448096 268348605943501 314933547083453 324043599629888 380297113459264 382700076685534 438888492895264 441661674367159 533327304896192 536697211887002 629867094166906 726909066357781 765400153371068 877776985790528 883323348734318 1073394423774004 1259734188333812 1453818132715562 1530800306742136 1766646697468636 2146788847548008 2519468376667624 2907636265431124 3061600613484272 3533293394937272 4293577695096016 5038936753335248 5815272530862248 6123201226968544 7066586789874544 7231587298123817 8587155390192032 10077873506670496 10141552032166651 11630545061724496 12246402453937088 14133173579749088 14463174596247634 16691477995423009 17174310780384064 20155747013340992 20283104064333302 23261090123448992 28266347159498176 28926349192495268 33382955990846018 40566208128666604 46522180246897984 57852698384990536 66765911981692036 81132416257333208 115705396769981072 133531823963384072 162264832514666416 231410793539962144 267063647926768144 324529665029332832 383274126800562301 462821587079924288 534127295853536288 537502257704832503 649059330058665664 766548253601124602 884648333757419477 1068254591707072576 1075004515409665006 1533096507202249204 1769296667514838954 2150009030819330012 3066193014404498408 3538593335029677908 4300018061638660024 6132386028808996816 7077186670059355816 8600036123277320048 12264772057617993632 14154373340118711632 17200072246554640096 20313528720429801953 24529544115235987264 28308746680237423264 34400144493109280192 40627057440859603906 56617493360474846528 81254114881719207812 162508229763438415624 325016459526876831248 650032919053753662496 1076617022182779503509 1300065838107507324992 2153234044365559007018 4306468088731118014036 8612936177462236028072 17225872354924472056144 34451744709848944112288 68903489419697888224576
- Sum of all divisors σ(n): 138084329865007713005679952
- Sum of proper divisors (its aliquot sum) s(n): 70640557352842891854224
- 138013689307654870113825728 is a deficient number, because the sum of its proper divisors (70640557352842891854224) is less than itself. Its deficiency is 137943048750302027221971504
Bases of 138013689307654870113825728
- Binary: 1110010001010011000100100010110110010010000011100100100000010101101000110110011110000002
- Hexadecimal: 0x72298916C907240AD1B3C0
- Base-36: HCACMKXFC5QZR3EM8
Squares and roots of 138013689307654870113825728
- 138013689307654870113825728 squared (1380136893076548701138257282) is 19047778436309888221101396353536163113947016354729984
- 138013689307654870113825728 cubed (1380136893076548701138257283) is 2628854175109921021351700541475830078592688782537581335025069202627126672228352
-
The
square root of 138013689307654870113825728 is 11747922765649.0349482817 -
138013689307654870113825728 is a
perfect cube number . Itscube root is 516782012
Scales and comparisons
How big is 138013689307654870113825728?- 138,013,689,307,654,870,113,825,728 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,013,689,307,654,870,113,825,728 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138013689307654870113825728 cubic inches would be around 43065167.7 feet tall.
Recreational maths with 138013689307654870113825728
- 138013689307654870113825728 backwards is 827528311078456703986310831
- The number of decimal digits it has is: 27
- The sum of 138013689307654870113825728's digits is 116
- More coming soon!
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The information we have on file for 138013689307654870113825728 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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