138750230012625
138,750,230,012,625 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138750230012625 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
138750230012625 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138750230012625:
37 × 53 × 7 × 11 × 193 × 312
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 19 × 19 × 19 × 31 × 31)See below for interesting mathematical facts about the number 138750230012625 from the Numbermatics database.
Names of 138750230012625
- Cardinal: 138750230012625 can be written as One hundred thirty-eight trillion, seven hundred fifty billion, two hundred thirty million, twelve thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38750230012625 × 1014
Factors of 138750230012625
Divisors of 138750230012625
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 3 5 7 9 11 15 19 21 25 27 31 33 35 45 55 57 63 75 77 81 93 95 99 105 125 133 135 155 165 171 175 189 209 217 225 231 243 275 279 285 297 315 341 361 375 385 399 405 465 475 495 513 525 567 589 627 651 665 675 693 729 775 825 837 855 875 891 945 961 1023 1045 1083 1085 1125 1155 1197 1215 1375 1395 1425 1463 1485 1539 1575 1701 1705 1767 1805 1881 1925 1953 1995 2025 2079 2187 2325 2375 2387 2475 2511 2527 2565 2625 2673 2835 2883 2945 3069 3135 3249 3255 3325 3375 3465 3591 3645 3875 3971 4123 4125 4185 4275 4389 4455 4617 4725 4805 5103 5115 5225 5301 5415 5425 5643 5775 5859 5985 6075 6237 6479 6727 6859 6975 7125 7161 7315 7425 7533 7581 7695 7875 8019 8505 8525 8649 8835 9025 9207 9405 9625 9747 9765 9975 10125 10395 10571 10773 10935 11191 11625 11913 11935 12369 12375 12555 12635 12825 13167 13365 13851 14175 14415 14725 15309 15345 15675 15903 16245 16275 16625 16929 17325 17577 17955 18225 18259 18711 19437 19855 20181 20577 20615 20925 21375 21483 21945 22275 22599 22743 23085 23625 24025 24057 25515 25575 25947 26125 26505 27075 27125 27621 27797 28215 28875 29241 29295 29925 30375 31185 31713 32319 32395 33573 33635 34295 34875 35739 35805 36575 37107 37125 37665 37905 38475 39501 40095 41553 42525 42625 43245 44175 45125 45353 46035 47025 47709 48013 48735 48825 49875 50787 51975 52731 52855 53865 54675 54777 55955 56133 58311 59565 59675 60543 61731 61845 62775 63175 64125 64449 65835 66825 67797 68229 69255 70875 72075 73625 73997 75449 76545 76725 77841 78337 78375 79515 81225 81375 82863 83391 84645 86625 87723 87885 89775 91125 91295 93555 95139 96957 97185 99275 100719 100905 102885 103075 104625 107217 107415 109725 111321 111375 112995 113715 115425 118503 120125 120285 123101 127575 127813 127875 129735 132525 135375 136059 138105 138985 141075 143127 144039 146205 146475 149625 152361 155925 158193 158565 161595 161975 164331 167865 168175 168399 171475 174933 178695 179025 181629 182875 185193 185535 188325 189525 192375 193347 197505 200475 200849 204687 207765 212625 212629 216225 220875 221991 226347 226765 230175 233523 235011 235125 238545 240065 243675 244125 248589 250173 253935 259875 263169 263655 264275 269325 273375 273885 279775 280665 285417 290871 291555 297825 298375 302157 302715 308655 309225 313875 315875 321651 322245 329175 333963 334125 338985 341145 346275 346921 355509 360375 369303 369985 377245 382725 383439 383625 389205 391685 397575 406125 408177 414315 416955 423225 429381 432117 438615 439425 448875 456475 457083 467775 474579 475695 484785 485925 492993 496375 503595 504525 514425 515375 524799 528143 536085 537075 544887 548625 555579 556605 564975 568575 577125 580041 592515 601425 602547 614061 615505 637875 637887 639065 648675 662625 665973 679041 680295 690525 694925 700569 705033 705375 715635 720195 731025 732375 745767 750519 761805 779625 789507 790965 792825 807975 809875 821655 839325 840875 841995 856251 857375 861707 874665 893475 895125 906471 908145 925965 927675 941625 947625 964953 966735 987525 1001889 1002375 1004245 1023435 1038825 1040763 1063145 1066527 1081125 1107909 1109955 1131735 1133825 1150317 1150875 1167615 1175055 1192725 1200325 1218375 1224531 1242945 1250865 1269675 1288143 1296351 1315845 1318275 1321375 1346625 1369425 1398875 1403325 1405943 1427085 1454355 1457775 1478979 1488403 1489125 1510785 1513575 1543275 1546125 1574397 1584429 1608255 1611225 1634661 1645875 1666737 1669815 1694925 1705725 1731375 1734605 1740123 1777545 1807641 1842183 1846515 1849925 1886225 1913625 1913661 1917195 1946025 1958425 1987875 1997919 2037123 2040885 2071575 2084775 2101707 2115099 2116125 2146905 2160585 2193075 2197125 2251557 2282375 2285415 2338875 2338919 2372895 2378475 2423925 2428447 2429625 2464965 2517975 2522625 2568753 2572125 2585121 2623995 2640715 2680425 2685375 2719413 2724435 2777895 2783025 2824875 2842875 2894859 2900205 2962575 3005667 3007125 3012735 3070305 3077525 3122289 3189435 3195325 3199581 3243375 3323727 3329865 3395205 3401475 3450951 3452625 3474625 3502845 3525165 3578175 3600975 3655125 3673593 3728835 3752595 3809025 3816131 3889053 3947535 3954825 3964125 4039875 4108275 4196625 4209975 4217829 4281255 4308535 4373325 4436937 4465209 4467375 4532355 4540725 4629825 4638375 4723191 4753287 4824765 4833675 4903983 4937625 5000211 5009445 5021225 5117175 5194125 5203815 5220369 5315725 5332635 5422923 5526549 5539545 5549775 5658675 5669125 5740983 5751585 5838075 5875275 5963625 5993757 6001625 6111369 6122655 6214725 6254325 6345297 6348375 6440715 6481755 6579225 6591375 6591499 6754671 6847125 7016625 7016757 7029715 7135425 7271775 7285341 7288875 7394895 7442015 7553925 7567875 7706259 7716375 7755363 7871985 7922145 8041275 8056125 8158239 8173305 8333685 8349075 8474625 8528625 8673025 8684577 8700615 8887725 9017001 9038205 9210915 9232575 9249625 9366867 9431125 9568305 9585975 9730125 9792125 9971181 9989595 10185615 10204425 10352853 10357875 10423875 10508535 10575495 10734525 10802925 10965375 11020779 11257785 11427075 11448393 11667159 11694595 11864475 11892375 12119625 12142235 12324825 12589875 12653487 12843765 12925605 13119975 13203575 13310811 13395627 13402125 13597065 13622175 13889475 13915125 14169573 14259861 14474295 14501025 14711949 14812875 15000633 15028335 15063675 15351525 15387625 15611445 15947175 15976625 15997905 16268769 16372433 16618635 16649325 16976025 17007375 17222949 17254755 17514225 17625825 17890875 17981271 18004875 18334107 18367965 18644175 18762975 19035891 19045125 19080655 19445265 19737675 19774125 19774497 20264013 20541375 21049875 21050271 21089145 21406275 21542675 21856023 21866625 22184685 22326045 22661775 22703625 23118777 23149125 23266089 23615955 23766435 24123825 24168375 24474717 24519915 25001055 25047225 25106125 25585875 26019075 26101845 26578625 26663175 26712917 27114615 27632745 27697725 27748875 28100601 28293375 28704915 28757925 29190375 29376375 29913543 29968785 30556845 30613275 31058559 31073625 31271625 31726485 32203575 32408775 32896125 32957495 33062337 33773355 34345179 35001477 35083785 35148575 35677125 36358875 36426705 36974475 37210075 37769625 37960461 38531295 38776815 39359925 39610725 39932433 40186881 40206375 40791195 40866525 41668425 41745375 42779583 43365125 43422885 43503075 44438625 45085005 45191025 46054575 46140493 46162875 46834335 47841525 47929875 48806307 49117299 49855905 49947975 50928075 51022125 51668847 51764265 52542675 52877475 53672625 53943813 54014625 55002321 55103895 56288925 57107673 57135375 57241965 58335795 58472975 59322375 59323491 60711175 60792039 61624125 63150813 63267435 64218825 64628025 65568069 65599875 66017875 66554055 66978135 67985325 68110875 69447375 69798267 70847865 71299305 72371475 72505125 72506489 73559745 75003165 75141675 75318375 76757625 78057225 79735875 79989525 80138751 81343845 81862165 83093175 83246625 84301803 84880125 86114745 86273775 87571125 88129125 89740629 89906355 91670535 91839825 93175677 93220875 93814875 95179455 95403275 97226325 98688375 98872485 99187011 101320065 103035537 105004431 105251355 105445725 107031375 107713375 109280115 110923425 111630225 113308875 113881383 115593885 116330445 118079775 118832175 120560643 120619125 122373585 122599575 125005275 125236125 128338749 130095375 130509225 133315875 133564585 135573075 138163725 138421479 138488625 140503005 143524575 143789625 146418921 147351897 149567715 149843925 152784225 153066375 155006541 155292795 158632425 161017875 161831439 162043875 164787475 165006963 165311685 168866775 171323019 171725895 175007385 175418925 175742875 177970473 182133525 184872375 186050375 189452439 189802305 192656475 193884075 196704207 196799625 198053625 199662165 200934405 203955975 204332625 208342125 209394801 213897915 217114425 217515375 217519467 225425025 225955125 230272875 230702465 234171675 239207625 240416253 244031535 245586495 249279525 249739875 252905409 254640375 258344235 258821325 262713375 264387375 269221887 269719065 275011605 275519475 279527031 281444625 285538365 286209825 291678975 292364875 296617455 303555875 303960195 309106611 315754065 316337175 321094125 323140125 327840345 332770275 334890675 339926625 341644149 348991335 354239325 356496525 361681929 361857375 362532445 367798725 375015825 375708375 385016247 390286125 399947625 400693755 406719225 409310825 415264437 415465875 421509015 430573725 431368875 439256763 442055691 448703145 449531775 458352675 459199125 465019623 465878385 475897275 477016375 486131625 494362425 495935055 506600325 507545423 515177685 525022155 526256775 527228625 533911419 546400575 554617125 558151125 568357317 569406915 577969425 581652225 590112621 590398875 594160875 602803215 611867925 612997875 625026375 628184403 641693745 652546125 652558401 667822925 677865375 690818625 692107395 702515025 717622875 721248759 732094605 736759485 747838575 749219625 758716227 763921125 775032705 776463975 793162125 809157195 823937375 825034815 826558425 844333875 856615095 858629475 875036925 877094625 889852365 910667625 927319833 947262195 949011525 963282375 969420375 983521035 998310825 1004672025 1019779875 1024932447 1046974005 1069489575 1085045787 1085572125 1087597335 1127125125 1153512325 1155048741 1170858375 1202081265 1220157675 1227932475 1245793311 1246397625 1264527045 1291721175 1294106625 1326167073 1346109435 1348595325 1375058025 1377597375 1397635155 1427691825 1431049125 1458394875 1483087275 1519800975 1522636269 1545533055 1578770325 1581685875 1601734257 1639201725 1663851375 1674453375 1705071951 1708220745 1744956675 1770337863 1771196625 1782482625 1808409645 1812662225 1838993625 1875079125 1884553209 1925081235 1957675203 2003468775 2033596125 2046554125 2076322185 2107545075 2152868625 2163746277 2196283815 2210278455 2243515725 2247658875 2291763375 2325098115 2329391925 2379486375 2471812125 2479675275 2533001625 2537727115 2575888425 2625110775 2631283875 2669557095 2732002875 2781959499 2841786585 2847034575 2889847125 2908261125 2950563105 3014016075 3059339625 3074797341 3140922015 3208468725 3255137361 3262792005 3339114625 3460536975 3512575125 3606243795 3660473025 3683797425 3737379933 3739192875 3793581135 3875163525 3882319875 3978501219 4045785975 4125174075 4132792125 4283075475 4293147375 4375184625 4449261825 4567908807 4636599165 4736310975 4745057625 4805202771 4917605175 4991554125 5023360125 5115215853 5124662235 5234870025 5311013589 5347447875 5425228935 5437986675 5767561625 5775243705 5873025609 6010406325 6100788375 6139662375 6228966555 6322635225 6458605875 6491238831 6630835365 6730547175 6742976625 6875290125 6988175775 7138459125 7415436375 7599004875 7613181345 7727665275 7893851625 8008671285 8196008625 8345878497 8525359755 8541103725 8724783375 8851689315 9042048225 9063311125 9422766045 9625406175 9788376015 10017343875 10381610925 10537725375 10818731385 10981419075 11051392275 11212139799 11217578625 11625490575 11646959625 11935503657 12398376375 12688635575 12879442125 13125553875 13347785475 13703726421 13909797495 14208932925 14235172875 14415608313 14752815525 15070080375 15373986705 15704610075 16042343625 16275686805 16313960025 17302684875 17619076827 18031218975 18302365125 18418987125 18686899665 18967905675 19375817625 19473716493 19892506095 20228929875 20625870375 21415377375 22246309125 22839544035 23182995825 23681554875 24026013855 24588025875 25576079265 25623311175 26174350125 26555067945 27126144675 27189933375 28876218525 29365128045 30052031625 31144832775 31613176125 32456194155 33154176825 33636419397 33652735875 34940878875 35806510971 38065906725 38638326375 40043356425 41111179263 41729392485 42626798775 42705518625 44258446575 45210241125 47113830225 48127030875 48941880075 51908054625 52857230481 54093656925 54907095375 55256961375 56060698995 58127452875 58421149479 59677518285 63443177875 66738927375 68518632105 69548987475 71044664625 72078041565 73764077625 76869933525 78523050375 81378434025 81569800125 88095384135 90156094875 93434498325 94839528375 97368582465 99462530475 100909258191 114197720175 115914979125 120130069275 123333537789 127880396325 128116555875 132775339725 135630723375 144381092625 146825640225 155724163875 158571691443 162280970775 165770884125 168182096985 179032554855 190329533625 200216782125 205555896315 208646962425 213133993875 221292232875 235569151125 244709400375 264286152405 270468284625 280303494975 292105747395 298387591425 342593160525 347744937375 360390207825 370000613367 384349667625 406892170125 440476920675 467172491625 486842912325 497312652375 504546290955 570988600875 600650346375 616667688945 639401981625 663876698625 734128201125 792858457215 811404853875 840910484925 895162774275 1027779481575 1043234812125 1110001840101 1321430762025 1401517474875 1460528736975 1491937957125 1712965802625 1801951039125 1850003066835 2202384603375 2434214561625 2522731454775 3083338444725 3964292286075 4204552424625 4475813871375 5138897407875 5550009200505 6607153810125 7302643684875 9250015334175 12613657273875 15416692223625 19821461430375 27750046002525 46250076670875 138750230012625
- Sum of all divisors σ(n): 353148600729600
- Sum of proper divisors (its aliquot sum) s(n): 214398370716975
- 138750230012625 is an abundant number, because the sum of its proper divisors (214398370716975) is greater than itself. Its abundance is 75648140704350
Bases of 138750230012625
- Binary: 111111000110001010011100010110000100010110100012
- Hexadecimal: 0x7E314E2C22D1
- Base-36: 1D6KZ4IW29
Squares and roots of 138750230012625
- 138750230012625 squared (1387502300126252) is 19251626328556343307659390625
- 138750230012625 cubed (1387502300126253) is 2671167581204299984294725045137793556640625
-
The
square root of 138750230012625 is 11779228.7528778811 -
The
cube root of 138750230012625 is 51769.9688795873
Scales and comparisons
How big is 138750230012625?- 138,750,230,012,625 seconds is equal to 4,411,828 years, 6 weeks, 5 days, 23 hours, 3 minutes, 45 seconds.
-
To count from 1 to 138,750,230,012,625 would take you about eleven million, twenty-nine thousand, five hundred seventy 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 138750230012625 cubic inches would be around 4314.2 feet tall.
Recreational maths with 138750230012625
- 138750230012625 backwards is 526210032057831
- 138750230012625 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138750230012625's digits is 45
- More coming soon!
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"Number 138750230012625 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 138750230012625 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138750230012625/
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Numbermatics. 2024. "Number 138750230012625 - Facts about the integer". https://numbermatics.com/n/138750230012625/
The information we have on file for 138750230012625 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 138750230012625, math, Factors of 138750230012625, curriculum, school, college, exams, university, Prime factorization of 138750230012625, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred fifty billion, two hundred thirty million, twelve thousand, six hundred twenty-five.