138413117971548225
138,413,117,971,548,225 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138413117971548225 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1215 divisors.
138413117971548225 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred fifteen divisors.
Prime factorization of 138413117971548225:
32 × 52 × 134 × 172 × 892 × 972
(3 × 3 × 5 × 5 × 13 × 13 × 13 × 13 × 17 × 17 × 89 × 89 × 97 × 97)See below for interesting mathematical facts about the number 138413117971548225 from the Numbermatics database.
Names of 138413117971548225
- Cardinal: 138413117971548225 can be written as One hundred thirty-eight quadrillion, four hundred thirteen trillion, one hundred seventeen billion, nine hundred seventy-one million, five hundred forty-eight thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.38413117971548225 × 1017
Factors of 138413117971548225
Divisors of 138413117971548225
- Number of divisors d(n): 1215
-
Complete list of divisors:
1 3 5 9 13 15 17 25 39 45 51 65 75 85 89 97 117 153 169 195 221 225 255 267 289 291 325 425 445 485 507 585 663 765 801 845 867 873 975 1105 1157 1261 1275 1335 1445 1455 1513 1521 1649 1989 2197 2225 2425 2535 2601 2873 2925 3315 3471 3757 3783 3825 4005 4225 4335 4365 4539 4947 5525 5785 6305 6591 6675 7225 7275 7565 7605 7921 8245 8619 8633 9409 9945 10413 10985 11271 11349 12675 13005 13617 14365 14841 15041 16393 16575 17355 18785 18915 19669 19773 20025 21437 21675 21825 22695 23763 24735 25721 25857 25899 28033 28227 28561 28925 31525 32955 33813 37349 37825 38025 39605 41225 43095 43165 45123 47045 48841 49179 49725 52065 54925 56355 56745 59007 64311 65025 68085 71289 71825 74205 75205 77163 77697 81965 84099 84681 85683 86775 93925 94575 98345 98865 102973 107185 112047 112229 113475 118815 122317 123675 128605 129285 129495 134657 135369 140165 141135 142805 146523 146761 147537 159953 164775 169065 177021 186745 192933 195533 198025 213109 215475 215825 225615 231489 235225 244205 245895 252297 255697 257049 260325 278681 281775 283725 295035 308919 321555 334373 336141 336687 340425 356445 364429 366951 371025 376025 385815 388485 403971 409825 420495 423405 428415 439569 440283 479859 485537 491725 494325 514865 535925 560235 561145 586599 594075 611585 634933 639327 643025 646425 647475 673285 676845 700825 705675 714025 732615 733805 737685 767091 768337 799765 836043 837401 845325 885105 926757 933725 964665 977665 1003119 1010061 1065545 1093287 1100853 1128075 1157445 1211913 1221025 1229475 1261485 1278485 1285245 1320849 1338649 1393405 1439577 1456611 1458977 1475175 1544595 1590121 1607775 1671865 1680705 1683435 1750541 1759797 1782225 1822145 1834755 1904799 1907893 1917981 1929075 1942425 2019855 2079389 2102475 2117025 2142075 2197845 2201415 2289169 2301273 2305011 2399295 2427685 2494937 2508129 2512203 2541929 2574325 2719201 2770417 2801175 2805725 2932995 3009357 3057925 3174665 3196635 3279861 3324061 3366425 3384225 3622853 3663075 3669025 3688425 3835455 3841685 3998825 4015947 4180215 4187005 4346849 4369833 4376931 4425525 4633785 4737577 4770363 4823325 4888325 5015595 5050305 5251623 5327725 5466435 5504265 5714397 5723679 5787225 6059565 6238167 6307425 6392425 6426225 6604245 6693245 6867507 6915033 6967025 7197885 7283055 7294885 7484811 7536609 7625787 7722975 7950605 8157603 8254129 8311251 8359325 8403525 8417175 8752705 8798985 9110725 9173775 9523995 9539465 9589905 9972183 9988381 10099275 10396945 10868559 10886213 10989225 11007075 11445845 11506365 11525055 11996475 12047841 12138425 12474685 12540645 12561015 12709645 13040547 13061729 13130793 13596005 13852085 14212731 14235817 14311089 14664975 15046785 15754869 15873325 15983175 16399305 16620305 17171037 17402437 18114265 18714501 18966701 19177275 19208425 20079735 20602521 20671573 20901075 20935025 21734245 21849165 21884655 22454433 22757033 22877361 23168925 23687885 23851815 24472809 24762387 24802609 24933753 25077975 25251525 26258115 27032057 27332175 27521325 28571985 28618395 29759197 29916549 29965143 30297825 31190835 32434181 32605677 32658639 33021225 33466225 34337535 34575165 35349613 35989425 36415275 36474425 37424055 37683045 38128935 39121641 39185187 39753025 40788015 41270645 41556255 42638193 42707451 43212793 43763525 43994925 47097089 47619975 47697325 47949525 49860915 49941905 51984725 52207311 54342795 54431065 56509037 56900103 57229225 57531825 57625275 60239205 61588501 62014719 62373425 62703225 62805075 63548225 65202735 65308645 65653965 67980025 68271099 69260425 71063655 71179085 71555445 74287161 74407827 74528689 75233925 78774345 81096171 81996525 83101525 85855185 87012185 89277591 89895429 90571325 93572505 94833505 97302543 97975917 100398675 103012605 103357865 106048839 108671225 109245825 109423275 112272165 113785165 114386805 117555561 118439425 119259075 122364045 123811935 124013045 124668765 128122353 129638379 129848953 131290575 135160285 141291267 141520769 142859925 143091975 148795985 149582745 149825715 155954175 156621933 162170905 163028385 163293195 169527111 169802477 170700309 171687675 172875825 176748065 184765503 185065621 186044157 187120275 188415225 190644675 195608205 195925935 203940075 204813297 206353225 207781275 213190965 213537255 216063965 222049393 223223481 223586067 226231681 235485445 242008889 243288513 246567113 249304575 249709525 261036555 267832773 268730449 271713975 272155325 282545185 284500515 291907629 295841429 301196025 307942505 310073595 318146517 322433917 326013675 326543225 328269825 341355495 351416741 355318275 355895425 357777225 371435805 372039135 372643445 386869561 388915137 389546859 393871725 405480855 421644353 423873801 424562307 429275925 435060925 446387955 449477145 459544969 467862525 474167525 486512715 489879585 508581333 509407431 515063025 516789325 530244195 554296509 555196863 561360825 568925825 571934025 587777805 611820225 619059675 620065225 623343825 640611765 648191895 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49412520807 49961113425 50902128225 53766761373 54452000025 55096311075 55185805025 55477600425 57014447085 57689078655 60048788475 60146326825 60464351025 62874613815 62976742205 64616373363 65380955809 65833419171 66564321525 68526264495 71257895657 71751029883 72166052725 72547631325 72665471775 75439564395 75961637505 77663099761 78652888925 79068766725 82220648835 82354201345 82789649865 86089855839 87045651225 89611268955 93828269847 94869979425 95024078475 96148464425 99334449045 103397618025 104791023025 107693955605 108263388285 109722365285 112579042251 113358135969 114210440825 119585049805 122698506723 125732607325 126602729175 129898894905 137034414725 137982749775 141575200065 143483093065 148237562421 149352114925 156380449745 163739529733 165288933225 165557415075 173067235965 180146365425 180438980475 187631737085 188623841445 188930226615 193849120089 196142867427 197500257513 204497511205 205578793485 213773686971 214120923497 215253089649 216498158175 217996415325 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1407424047705 1463527549263 1473655767597 1595080587399 1615409334075 1634523895225 1645835479275 1688685633765 1781447391425 1793775747075 1840477600845 1865280209845 1927088311473 1941577494025 2032945846685 2128613886529 2152246395975 2345706746175 2439212582105 2456092945995 2520038561157 2658467645665 2783572005461 2814476056275 2833953399225 2942143011405 3067462668075 3206605304565 3211813852455 3357504377721 3494839489245 3640055699449 3659302524033 3705939060525 4093488243325 4200064268595 4390582647789 4785241762197 4846228002225 4903571685675 4937506437825 5344342174275 5353023087425 5381327241225 5595840629535 5824732482075 6098837540055 6341952713473 6385841659587 6456739187925 6912015878729 7000107114325 7037120238525 7317637746315 7368278837985 7975402936995 8350716016383 8443428168825 9202388004225 9326401049225 9635441557365 10164729233425 10643069432645 10920167098347 12196062910525 12280464729975 12600192805785 13292338228325 13917860027305 14710715057025 16033026522825 16059069262275 16787521888605 17474197446225 18200278497245 18296512620165 19025858140419 19157524978761 20736047636187 21000321342975 21952913238945 23926208810985 25052148049149 27979203147675 30494187700275 31709763567365 31929208297935 32760501295041 34560079393645 36186436070993 36588188731575 36841394189925 39877014684975 41753580081915 47320724092837 48177207786825 53215347163225 54600835491735 57077574421257 62208142908561 63000964028925 69589300136525 83937609443025 91001392486225 91482563100825 95129290702095 95787624893805 103680238180935 108559308212979 109764566194725 119631044054925 125260740245745 141962172278511 158548817836825 159646041489675 163802506475205 172800396968225 180932180354965 208767900409575 236603620464185 273004177458675 285387872106285 311040714542805 325677924638937 425886516835533 475646453510475 478938124469025 518401190904675 542796541064895 615169413206881 626303701228725 709810861392555 819012532376025 904660901774825 1183018102320925 1426939360531425 1555203572714025 1628389623194685 1845508239620643 2129432584177665 2713982705324475 3075847066034405 3549054306962775 5536524718861929 8141948115973425 9227541198103215 10647162920888325 15379235330172025 27682623594309645 46137705990516075 138413117971548225
- Sum of all divisors σ(n): 291546608055452997
- Sum of proper divisors (its aliquot sum) s(n): 153133490083904772
- 138413117971548225 is an abundant number, because the sum of its proper divisors (153133490083904772) is greater than itself. Its abundance is 14720372112356547
Bases of 138413117971548225
- Binary: 1111010111011110111111111010110001111001011001000010000012
- Hexadecimal: 0x1EBBDFF58F2C841
- Base-36: 11UVCSKVGGU9
Squares and roots of 138413117971548225
- 138413117971548225 squared (1384131179715482252) is 19158191226605726220040603500650625
- 138413117971548225 cubed (1384131179715482253) is 2651744982369658576583813881002572293234026063890625
-
138413117971548225 is a
perfect square number . Itssquare root is 372039135 -
The
cube root of 138413117971548225 is 517280.0754808591
Scales and comparisons
How big is 138413117971548225?- 138,413,117,971,548,225 seconds is equal to 4,401,109,011 years, 31 weeks, 5 days, 6 hours, 3 minutes, 45 seconds.
-
To count from 1 to 138,413,117,971,548,225 would take you about thirteen billion, two hundred three million, three hundred twenty-seven thousand and thirty-four 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 138413117971548225 cubic inches would be around 43106.7 feet tall.
Recreational maths with 138413117971548225
- 138413117971548225 backwards is 522845179711314831
- The number of decimal digits it has is: 18
- The sum of 138413117971548225's digits is 72
- More coming soon!
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"Number 138413117971548225 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
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Numbermatics. (2024). Number 138413117971548225 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/138413117971548225/
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The information we have on file for 138413117971548225 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 138413117971548225, math, Factors of 138413117971548225, curriculum, school, college, exams, university, Prime factorization of 138413117971548225, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred thirteen trillion, one hundred seventeen billion, nine hundred seventy-one million, five hundred forty-eight thousand, two hundred twenty-five.