138087414690225
138,087,414,690,225 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138087414690225 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1200 divisors.
138087414690225 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138087414690225:
3 × 52 × 7 × 114 × 134 × 17 × 37
(3 × 5 × 5 × 7 × 11 × 11 × 11 × 11 × 13 × 13 × 13 × 13 × 17 × 37)See below for interesting mathematical facts about the number 138087414690225 from the Numbermatics database.
Names of 138087414690225
- Cardinal: 138087414690225 can be written as One hundred thirty-eight trillion, eighty-seven billion, four hundred fourteen million, six hundred ninety thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.38087414690225 × 1014
Factors of 138087414690225
Divisors of 138087414690225
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 3 5 7 11 13 15 17 21 25 33 35 37 39 51 55 65 75 77 85 91 105 111 119 121 143 165 169 175 185 187 195 221 231 255 259 273 275 325 357 363 385 407 425 429 455 481 507 525 555 561 595 605 629 663 715 777 825 845 847 925 935 975 1001 1105 1155 1183 1221 1275 1295 1309 1331 1365 1443 1547 1573 1785 1815 1859 1887 1925 2035 2057 2145 2197 2275 2405 2431 2535 2541 2775 2805 2849 2873 2975 3003 3025 3145 3315 3367 3549 3575 3885 3927 3993 4225 4235 4403 4477 4641 4675 4719 5005 5291 5525 5577 5775 5915 6105 6171 6253 6475 6545 6591 6655 6825 6919 7215 7293 7735 7865 8177 8547 8619 8925 9075 9295 9317 9435 10101 10175 10285 10725 10985 11011 12025 12155 12675 12705 13013 13209 13431 14025 14245 14365 14399 14641 15015 15379 15725 15873 16575 16835 17017 17303 17745 18759 19425 19635 19965 20111 20449 20757 21175 22015 22385 22627 23205 23595 24167 24531 25025 26455 26741 27885 27951 28561 29575 30525 30855 31265 31339 31603 32725 32955 33033 33275 34595 36075 36465 37037 37349 38675 39039 39325 40885 42735 43095 43197 43771 43923 46137 46475 46585 47175 48433 49247 50505 51051 51425 51909 54925 55055 57239 58201 60333 60775 61347 63525 65065 66045 67155 67881 68783 71225 71825 71995 72501 73205 75075 76109 76895 79365 80223 81289 84175 85085 85683 86515 88725 89947 93795 94017 94809 98175 99825 100555 102245 102487 103785 106301 110075 111111 111925 112047 113135 116025 117975 120835 121121 122655 131313 132275 133705 139425 139755 142805 143143 145299 147741 154275 156325 156695 158015 158389 164775 165165 169169 171717 172975 174603 182325 185185 186745 187187 190333 195195 199927 204425 206349 213675 215475 215985 218855 219615 221221 224939 228327 230685 232925 242165 243867 246235 248897 252525 255255 259545 261443 265837 269841 275275 286195 291005 294151 301665 306735 307461 314171 318903 325325 330225 335775 339405 343915 344729 347633 359975 362505 363363 366025 380545 384475 396825 401115 406445 407407 410839 425425 428415 429429 432575 449735 468975 470085 474045 475167 481481 485537 502775 507507 511225 512435 518925 531505 532763 541717 555555 560235 561561 565675 569023 570999 599781 604175 605605 613275 629629 640211 656565 663663 668525 674817 698775 714025 715715 726495 738705 744107 746691 756613 783475 784329 790075 791945 797511 825825 837199 845845 858585 873015 882453 894179 925925 933725 935935 942513 951665 975975 989417 999635 1031745 1034187 1042899 1056757 1079925 1094275 1098075 1106105 1124695 1141635 1153425 1169311 1210825 1219335 1222221 1231175 1232517 1244485 1276275 1297725 1307215 1329185 1332331 1349205 1381913 1430975 1444443 1455025 1456611 1470755 1508325 1533675 1537305 1570855 1574573 1594515 1598289 1625151 1697025 1707069 1719575 1723645 1738165 1742279 1812525 1816815 1860859 1888887 1902725 1920633 2005575 2032225 2037035 2054195 2059057 2142075 2147145 2199197 2232321 2248675 2269839 2350425 2370225 2375835 2407405 2427685 2433431 2474329 2511597 2537535 2562175 2657525 2663815 2682537 2708585 2777775 2801175 2807805 2845115 2854995 2875873 2924207 2968251 2998905 3028025 3148145 3170271 3201055 3235661 3282825 3318315 3374085 3398759 3455881 3507933 3578575 3632475 3693525 3720535 3733455 3783065 3792019 3823963 3921645 3959725 3987555 3996993 4145739 4185995 4229225 4292925 4365075 4412265 4470895 4481477 4519229 4679675 4712565 4723719 4758325 4947085 4998175 5158725 5170935 5214495 5226837 5283785 5296291 5340907 5530525 5582577 5623475 5708175 5846555 5860393 6096675 6111105 6162585 6177171 6222425 6259253 6536075 6597591 6645925 6661655 6746025 6909565 6925919 7042321 7222215 7283055 7300293 7353775 7397299 7422987 7686525 7854275 7872865 7972575 7991445 8125755 8185177 8322743 8535345 8618225 8627619 8690825 8711395 8772621 9084075 9209189 9304295 9444435 9603165 9673391 9706983 9835969 10185175 10196277 10270975 10295285 10367643 10735725 10883587 10995985 11161605 11349195 11376057 11471889 11624327 11879175 12037025 12138425 12167155 12371645 12557985 12687675 12862421 13319075 13412685 13444431 13542925 13557687 14039025 14225575 14274975 14379365 14621035 14841255 14994525 15201043 15740725 15851355 15888873 16005275 16022721 16178305 16591575 16870425 16993795 17279405 17320303 17539665 17581179 17964869 18602675 18667275 18777759 18915325 18960095 19119815 19608225 19937775 19984965 20469449 20728695 20777757 20929975 21126963 22061325 22191897 22354475 22407385 22596145 22649627 23562825 23618595 24191167 24555531 24735425 24968229 25854675 26072475 26134185 26418925 26481455 26704535 26767741 27627567 27912885 29020173 29232775 29301965 29507907 30555525 30812925 30885855 31296265 31634603 32166277 32650761 32987955 33308275 34547825 34629595 34872981 35211605 36111075 36415275 36501465 36986495 37114935 37386349 38014691 38587263 39364325 39957225 40628775 40925885 41613715 42063593 42676725 43138095 43556975 43863105 45603129 46045945 46521475 47222175 48015825 48366955 48534915 49179845 49296247 49711519 50981385 51476425 51838215 51960909 53894607 54417935 54979925 55808025 56745975 56880285 57359445 58121635 58259201 58749977 60835775 61408347 61858225 62789925 64312105 64464323 67063425 67222155 67788435 67948881 68851783 71896825 72573501 73105175 74206275 76005215 76185109 79256775 79444365 80113605 80303223 80891525 81370289 84968975 86397025 86601515 87698325 87905895 89824345 90036947 91550173 93888795 94800475 94903809 95599075 96498831 99924825 102347245 103643475 103888785 105634815 106407301 108195659 110959485 112036925 112159047 112980725 113248135 114044073 118092975 119719457 120955835 122777655 124841145 125754083 126190779 127867597 130670925 132407275 133522675 133838705 138137835 139564425 141486631 145100865 146509825 147539535 147888741 149134557 154429275 156481325 158173015 160831385 163253805 164939775 167211473 173147975 174364905 174777603 176058025 176249931 182507325 184932475 185574675 186931745 190073455 192936315 193392969 197613559 204629425 206555349 208068575 210317965 215690475 219315525 225163939 228015645 228555327 230229725 241834775 242674575 244110867 245899225 246481235 248557595 254906925 259191075 259804545 266102837 269473035 270110841 272089675 274650519 284401425 286797225 290608175 291296005 293749885 294445151 307041735 319221903 321560525 322321615 324586977 336110775 338942175 339744405 344258915 347980633 359158371 362867505 377262249 380026075 380925545 383602791 397221825 400568025 401516115 406851445 411249839 418161601 424459893 433007575 439529475 449121725 450184735 457750865 469443975 474519045 482494155 501634419 511736225 519443925 528174075 532036505 540978295 546826709 554797425 560795235 566240675 570220365 592840677 598597285 604779175 613888275 624205725 628770415 630953895 639337985 640851211 646249747 669193525 675491817 690689175 707433155 725504325 737697675 739443705 745672785 757369613 790865075 798308511 804156925 816269025 836057365 838036199 871824525 873888015 881249655 883335453 895073179 934658725 950367275 964681575 966964845 988067795 990406417 1032776745 1043941899 1051589825 1125819695 1140078225 1142776635 1170480311 1190152249 1220554335 1232406175 1233749517 1242787975 1254484803 1299022725 1330514185 1347365175 1350554205 1373252595 1383294913 1406543567 1456480025 1468749425 1472225755 1535208675 1556352941 1596109515 1611608075 1622934885 1640480127 1698722025 1721294575 1739903165 1795791855 1814337525 1839326203 1886311245 1904627725 1918013955 1922553633 1938749241 2007580575 2034257225 2056249195 2090808005 2122299465 2173749149 2250923675 2272108839 2288754325 2372595225 2412470775 2508172095 2514108597 2660182525 2685219537 2704891475 2734133545 2803976175 2851101825 2927131207 2964203385 2971219251 2992986425 3143852075 3154769475 3196689925 3204256055 3231248735 3377459085 3511440933 3537165775 3570456747 3697218525 3728363925 3786848065 3827786963 3991542555 4149884739 4180286825 4190180995 4219630701 4369440075 4406248275 4416677265 4475365895 4523748229 4669058823 4834824225 4940338975 4952032085 5163883725 5219709495 5517978609 5629098475 5713883175 5852401555 5950761245 6102771675 6168747585 6272424015 6521247447 6652570925 6752771025 6866262975 6916474565 7032717835 7108747217 7361128775 7781764705 7980547575 8114674425 8202400635 8331065743 8699515825 8781393621 8978959275 9196631015 9431556225 9590069775 9612768165 9693746205 9845804969 10281245975 10454040025 10611497325 10868745745 10894470587 11360544195 11483360889 12540860475 12570542985 12875283421 13426097685 13571244687 13670667725 14635656035 14821016925 14856096255 15216244043 15471979237 16021280275 16156243675 16887295425 17557204665 17852283735 18934240325 19138934815 19957712775 20232588233 20749423695 20950904975 21098153505 21326241651 22083386325 22376829475 22618741145 23345294115 23911240639 24760160425 24993197229 26098547475 27589893045 29262007775 29537414907 29753806225 30843737925 31362120075 32606237235 32683411761 34582372825 35163589175 35543736085 38625850263 38908823525 41012003175 41655328715 43906968105 45648732129 45983155075 46415937711 48063840825 48468731025 49229024845 49761230519 54343728725 54472352935 56802720975 57416804445 60697764699 62852714925 64376417105 67130488425 67856223435 71733721917 73178280175 74280481275 76081220215 77359896185 87786023325 89261418675 95694674075 101162941165 103747118475 105490767525 106631208255 108303854659 113093705725 116726470575 119556203195 124965986145 137949465225 141628117631 147687074535 149283691557 163031186175 163417058805 167378684473 177718680425 193129251315 208276643575 219534840525 228243660645 232079688555 246145124225 248806152595 263023647029 272361764675 287084022225 303488823495 321882085525 324911563977 339281117175 358668609585 380406101075 386799480925 424884352893 502136053419 505814705825 533156041275 541519273295 597781015975 624829930725 708140588155 738435372675 746418457785 789070941087 817085294025 836893422365 965646256575 1141218303225 1160398442775 1244030762975 1315118235145 1517444117475 1624557819885 1793343047925 1841165529203 2124421764465 2510680267095 2707596366475 3540702940775 3732092288925 3945354705435 4184467111825 5523496587609 6575591175725 8122789099425 9205827646015 10622108822325 12553401335475 19726773527175 27617482938045 46029138230075 138087414690225
- Sum of all divisors σ(n): 338113762727040
- Sum of proper divisors (its aliquot sum) s(n): 200026348036815
- 138087414690225 is an abundant number, because the sum of its proper divisors (200026348036815) is greater than itself. Its abundance is 61938933346590
Bases of 138087414690225
- Binary: 111110110010110111110110100110011110001101100012
- Hexadecimal: 0x7D96FB4CF1B1
- Base-36: 1CY4HDE84X
Squares and roots of 138087414690225
- 138087414690225 squared (1380874146902252) is 19068134095830167132710550625
- 138087414690225 cubed (1380874146902253) is 2633069340259718818838171855497473555140625
-
The
square root of 138087414690225 is 11751060.1517575851 -
The
cube root of 138087414690225 is 51687.4015359843
Scales and comparisons
How big is 138087414690225?- 138,087,414,690,225 seconds is equal to 4,390,752 years, 34 weeks, 7 hours, 43 minutes, 45 seconds.
-
To count from 1 to 138,087,414,690,225 would take you about ten million, nine hundred seventy-six thousand, eight hundred eighty-one 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 138087414690225 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138087414690225
- 138087414690225 backwards is 522096414780831
- The number of decimal digits it has is: 15
- The sum of 138087414690225's digits is 60
- More coming soon!
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The information we have on file for 138087414690225 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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