138220535698729000
138,220,535,698,729,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138220535698729000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 528 divisors.
138220535698729000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 138220535698729000:
23 × 53 × 1110 × 732
(2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 73 × 73)See below for interesting mathematical facts about the number 138220535698729000 from the Numbermatics database.
Names of 138220535698729000
- Cardinal: 138220535698729000 can be written as One hundred thirty-eight quadrillion, two hundred twenty trillion, five hundred thirty-five billion, six hundred ninety-eight million, seven hundred twenty-nine thousand.
Scientific notation
- Scientific notation: 1.38220535698729 × 1017
Factors of 138220535698729000
Divisors of 138220535698729000
- Number of divisors d(n): 528
-
Complete list of divisors:
1 2 4 5 8 10 11 20 22 25 40 44 50 55 73 88 100 110 121 125 146 200 220 242 250 275 292 365 440 484 500 550 584 605 730 803 968 1000 1100 1210 1331 1375 1460 1606 1825 2200 2420 2662 2750 2920 3025 3212 3650 4015 4840 5324 5329 5500 6050 6424 6655 7300 8030 8833 9125 10648 10658 11000 12100 13310 14600 14641 15125 16060 17666 18250 20075 21316 24200 26620 26645 29282 30250 32120 33275 35332 36500 40150 42632 44165 53240 53290 58564 58619 60500 66550 70664 73000 73205 80300 88330 97163 100375 106580 117128 117238 121000 133100 133225 146410 160600 161051 166375 176660 194326 200750 213160 220825 234476 266200 266450 292820 293095 322102 332750 353320 366025 388652 401500 441650 468952 485815 532900 585640 586190 644204 644809 665500 666125 732050 777304 803000 805255 883300 971630 1065800 1068793 1104125 1172380 1288408 1289618 1331000 1332250 1464100 1465475 1610510 1766600 1771561 1830125 1943260 2137586 2208250 2344760 2429075 2579236 2664500 2928200 2930950 3221020 3224045 3543122 3660250 3886520 4026275 4275172 4416500 4858150 5158472 5329000 5343965 5861900 6442040 6448090 7086244 7092899 7320500 7327375 8052550 8550344 8833000 8857805 9716300 10687930 11723800 11756723 12145375 12896180 14172488 14185798 14641000 14654750 16105100 16120225 17715610 19432600 19487171 20131375 21375860 23513446 24290750 25792360 26719825 28371596 29309500 32210200 32240450 35431220 35464495 38974342 40262750 42751720 44289025 47026892 48581500 53439650 56743192 58619000 58783615 64480900 70862440 70928990 77948684 78021889 80525500 80601125 88578050 94053784 97163000 97435855 106879300 117567230 128961800 129323953 133599125 141857980 155897368 156043778 161051000 161202250 177156100 177322475 194871710 213758600 214358881 221445125 235134460 258647906 267198250 283715960 293918075 312087556 322404500 354312200 354644950 389743420 390109445 428717762 442890250 470268920 487179275 517295812 534396500 587836150 624175112 644809000 646619765 709289900 779486840 780218890 857435524 858240779 885780500 886612375 974358550 1034591624 1068793000 1071794405 1175672300 1293239530 1418579800 1422563483 1469590375 1560437780 1714871048 1716481558 1771561000 1773224750 1948717100 1950547225 2143588810 2351344600 2357947691 2435896375 2586479060 2845126966 2939180750 3120875560 3233098825 3432963116 3546449500 3897434200 3901094450 4287177620 4291203895 4715895382 4871792750 5172958120 5358972025 5690253932 5878361500 6466197650 6865926232 7092899000 7112817415 7802188900 8574355240 8582407790 9431790764 9440648569 9743585500 9752736125 10717944050 11380507864 11756723000 11789738455 12932395300 14225634830 15604377800 15648198313 16165494125 17164815580 18863581528 18881297138 19487171000 19505472250 21435888100 21456019475 23579476910 25864790600 25937424601 26794860125 28451269660 31296396626 32330988250 34329631160 35564087075 37762594276 39010944500 42871776200 42912038950 47158953820 47203242845 51874849202 53589720250 56902539320 58948692275 62592793252 64661976500 71128174150 75525188552 78021889000 78240991565 85824077900 94317907640 94406485690 103749698404 103847134259 107179440500 107280097375 117897384550 125185586504 129323953000 129687123005 142256348300 156481983130 171648155800 172130181443 177820435375 188812971380 207499396808 207694268518 214358881000 214560194750 235794769100 236016214225 259374246010 284512696600 294743461375 312963966260 344260362886 355640870750 377625942760 391204957825 415388537036 429120389500 471589538200 472032428450 518748492020 519235671295 589486922750 625927932520 648435615025 688520725772 711281741500 782409915650 830777074072 858240779000 860650907215 944064856900 1037496984040 1038471342590 1142318476849 1178973845500 1180081071125 1296871230050 1377041451544 1422563483000 1564819831300 1721301814430 1888129713800 1893431995873 1956024789125 2076942685180 2284636953698 2357947691000 2360162142250 2593742460100 2596178356475 3129639662600 3242178075125 3442603628860 3786863991746 3912049578250 4153885370360 4303254536075 4569273907396 4720324284500 5187484920200 5192356712950 5711592384245 6484356150250 6885207257720 7573727983492 7824099156500 8606509072150 9138547814792 9440648569000 9467159979365 10384713425900 11423184768490 12565503245339 12968712300500 12980891782375 15147455966984 15648198313000 17213018144300 18934319958730 20769426851800 21516272680375 22846369536980 25131006490678 25937424601000 25961783564750 28557961921225 34426036288600 37868639917460 43032545360750 45692739073960 47335799896825 50262012981356 51923567129500 57115923842450 62827516226695 75737279834920 86065090721500 94671599793650 100524025962712 103847134259000 114231847684900 125655032453390 138220535698729 142789809606125 172130181443000 189343199587300 228463695369800 236678999484125 251310064906780 276441071397458 285579619212250 314137581133475 378686399174600 473357998968250 502620129813560 552882142794916 571159238424500 628275162266950 691102678493645 946715997936500 1105764285589832 1142318476849000 1256550324533900 1382205356987290 1570687905667375 1893431995873000 2513100649067800 2764410713974580 3141375811334750 3455513392468225 5528821427949160 6282751622669500 6911026784936450 12565503245339000 13822053569872900 17277566962341125 27644107139745800 34555133924682250 69110267849364500 138220535698729000
- Sum of all divisors σ(n): 360720115775564220
- Sum of proper divisors (its aliquot sum) s(n): 222499580076835220
- 138220535698729000 is an abundant number, because the sum of its proper divisors (222499580076835220) is greater than itself. Its abundance is 84279044378106220
Bases of 138220535698729000
- Binary: 1111010110000111011011000010010101111110010101000001010002
- Hexadecimal: 0x1EB0ED84AFCA828
- Base-36: 11SZ39I6JPYG
Squares and roots of 138220535698729000
- 138220535698729000 squared (1382205356987290002) is 19104916488843617888252215441000000
- 138220535698729000 cubed (1382205356987290003) is 2640691791567445589183003716630863177874489000000000
-
The
square root of 138220535698729000 is 371780224.9968776917 -
The
cube root of 138220535698729000 is 517040.0567800077
Scales and comparisons
How big is 138220535698729000?- 138,220,535,698,729,000 seconds is equal to 4,394,985,491 years, 1 week, 4 days, 6 hours, 56 minutes, 40 seconds.
-
To count from 1 to 138,220,535,698,729,000 would take you about thirteen billion, one hundred eighty-four million, nine hundred fifty-six thousand, four hundred seventy-three 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 138220535698729000 cubic inches would be around 43086.7 feet tall.
Recreational maths with 138220535698729000
- 138220535698729000 backwards is 000927896535022831
- The number of decimal digits it has is: 18
- The sum of 138220535698729000's digits is 70
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138220535698729000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 138220535698729000 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138220535698729000/
Chicago style:
Numbermatics. 2024. "Number 138220535698729000 - Facts about the integer". https://numbermatics.com/n/138220535698729000/
The information we have on file for 138220535698729000 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 138220535698729000, math, Factors of 138220535698729000, curriculum, school, college, exams, university, Prime factorization of 138220535698729000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred twenty trillion, five hundred thirty-five billion, six hundred ninety-eight million, seven hundred twenty-nine thousand.