138523837248225
138,523,837,248,225 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138523837248225 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1215 divisors.
138523837248225 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 138523837248225:
34 × 52 × 112 × 132 × 312 × 592
(3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 13 × 13 × 31 × 31 × 59 × 59)See below for interesting mathematical facts about the number 138523837248225 from the Numbermatics database.
Names of 138523837248225
- Cardinal: 138523837248225 can be written as One hundred thirty-eight trillion, five hundred twenty-three billion, eight hundred thirty-seven million, two hundred forty-eight thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.38523837248225 × 1014
Factors of 138523837248225
Divisors of 138523837248225
- Number of divisors d(n): 1215
-
Complete list of divisors:
1 3 5 9 11 13 15 25 27 31 33 39 45 55 59 65 75 81 93 99 117 121 135 143 155 165 169 177 195 225 275 279 295 297 325 341 351 363 403 405 429 465 495 507 531 585 605 649 675 715 767 775 825 837 845 885 891 961 975 1023 1053 1089 1209 1287 1395 1475 1485 1521 1573 1593 1705 1755 1815 1829 1859 1947 2015 2025 2145 2301 2325 2475 2511 2535 2655 2883 2925 3025 3069 3245 3267 3481 3575 3627 3751 3835 3861 4185 4225 4425 4433 4455 4563 4719 4779 4805 5115 5239 5265 5445 5487 5577 5841 6045 6435 6903 6975 7139 7425 7605 7865 7965 8437 8525 8649 8775 9075 9145 9207 9295 9735 9801 9971 10075 10443 10571 10725 10881 11253 11505 11583 12493 12555 12675 13275 13299 13689 14157 14415 15345 15717 16225 16335 16461 16731 17405 17523 18135 18755 19175 19305 20119 20449 20709 20925 21417 22165 22275 22815 23595 23777 23895 24025 25311 25575 25947 26195 26325 27225 27435 27621 27885 29205 29913 30225 31329 31713 32175 32643 33759 34515 35695 37479 38025 38291 39325 39825 39897 42185 42471 43245 45253 45725 46035 46475 47151 48675 48763 49005 49383 49855 50193 52215 52569 52855 54405 56265 56699 57525 57629 57915 60357 61347 62127 62465 62775 64251 66495 68445 70785 71331 72075 75933 76725 77841 78585 81675 82305 83655 87025 87615 89739 90675 92807 93775 93987 95139 96525 100595 101277 102245 103545 107085 107911 109681 110825 112437 114075 114873 116281 117975 118885 119475 119691 126555 127413 129735 130975 135759 137175 137423 138105 139425 141453 146025 146289 148149 149565 150579 156645 158565 162409 163215 168795 170097 172575 172887 178475 181071 184041 187395 191455 192753 199485 210925 212355 213993 216225 221309 226265 227799 230175 235755 243815 245025 246915 249275 250965 261075 261547 262845 264275 269217 272025 278421 281325 281961 283495 285417 288145 289575 301785 303831 306735 309101 310635 312325 321255 323733 329043 332475 337311 342225 344619 348843 353925 356655 359073 379665 389205 392925 407277 411525 412269 418275 421201 424359 438075 438867 448695 464035 469935 475695 487227 497783 502975 506385 510291 511225 517725 518661 535425 539555 543213 548405 552123 562185 574365 578259 581405 588289 594425 598455 623689 632775 633919 637065 641979 648675 663927 678795 683397 687115 690525 707265 731445 737087 740745 747825 752895 783225 784641 792825 807651 812045 816075 835263 843975 850485 856251 864435 905355 920205 927303 936975 957275 963765 971199 987129 997425 1011933 1033857 1046529 1061775 1069965 1106545 1131325 1138995 1178775 1187021 1206491 1219075 1221831 1234575 1236807 1254825 1263603 1307735 1314225 1316601 1346085 1392105 1402843 1409805 1417475 1427085 1440725 1461681 1493349 1508925 1511653 1519155 1530873 1533675 1545505 1553175 1555983 1606275 1618665 1629639 1645215 1656369 1686555 1723095 1744215 1764867 1783275 1786499 1795365 1871067 1898325 1901757 1925937 1946025 1991781 2036385 2061345 2106005 2121795 2194335 2211261 2243475 2320175 2349675 2353923 2378475 2436135 2488915 2505789 2531925 2551455 2593305 2697775 2716065 2742025 2760615 2781909 2810925 2871825 2877017 2891295 2907025 2913597 2941445 2961387 2992275 3101571 3118445 3139587 3169595 3185325 3209895 3319635 3345241 3393975 3400111 3416985 3435575 3536325 3561063 3619473 3657225 3665493 3685435 3703725 3710421 3764475 3790809 3923205 3949803 4038255 4060225 4176315 4208529 4252425 4281255 4322175 4385043 4480047 4526775 4534959 4592619 4601025 4636515 4667949 4818825 4855995 4935645 5059665 5169285 5232645 5294601 5349825 5359497 5475613 5532725 5613201 5694975 5705271 5935105 5975343 6032455 6109155 6184035 6318015 6471179 6538675 6583005 6633783 6730425 6860579 6960525 7014215 7049025 7061769 7135425 7308405 7466745 7517367 7558265 7595775 7654365 7727525 7779915 8093325 8107957 8148195 8226075 8281845 8345727 8432775 8615475 8631051 8721075 8740791 8824335 8884161 8932495 8976825 9355335 9418761 9508785 9582131 9629685 9958905 10035723 10181925 10200333 10306725 10530025 10608975 10683189 10858419 10971675 11056305 11131263 11372427 11769615 12180675 12444575 12528945 12625587 12757275 12966525 13057231 13155129 13440141 13580325 13604877 13803075 13909545 14385085 14456475 14567985 14707225 14806935 15431273 15507855 15592225 15697935 15847975 15883803 16049475 16078491 16426839 16598175 16726205 16839603 17000555 17084925 17115813 17805315 17926029 18097365 18236959 18327465 18427175 18552105 18954045 19413537 19616025 19651489 19749015 19901349 20191275 20581737 20881575 21042645 21185307 21406275 21925215 22400235 22674795 22963095 23182575 23339745 24279975 24323871 24678225 25037181 25298325 25846425 25893153 26163225 26473005 26797485 27378065 28066005 28526355 28746393 29675525 29876715 30107169 30162275 30545775 30600999 30920175 31590075 32049567 32355895 32575257 32915025 33168915 34117281 34302895 35071075 35308845 36542025 36797651 37333725 37401221 37586835 37791325 37876761 38271825 38899575 39171693 40320423 40539785 40740975 40814631 41409225 41728635 43155255 43488133 43703955 44121675 44420805 44662475 46293819 46776675 47093805 47543925 47651409 47910655 48148425 48235473 49280517 49794525 50178615 50518809 51001665 51347439 53415945 54292095 54710877 55281525 55656315 56862135 58240611 58848075 58954467 59704047 61745211 62644725 63127935 65286155 65775645 67200705 68024385 69547725 71182969 71925425 72839925 72971613 74034675 77156365 77539275 77679459 78489675 79419015 80392455 82134195 83631025 84198015 85002775 85579065 86239179 89026575 89187527 89630145 90321507 90486825 91184795 91637325 91802997 92760525 94770225 96148701 97067685 97725771 98257445 98745075 99506745 102908685 105213225 105403441 105926535 109626075 110392953 112001175 112203663 113373975 113630283 114815475 116698725 117515079 121619355 122443893 125185905 129465765 130464399 132365025 133987425 136890325 138881457 140330025 142631775 143731965 144706419 147841551 149383575 150535845 153004995 160247835 161779475 162876285 164132631 165844575 169744003 170586405 171514475 174721833 176544225 176863401 183988255 185235633 187006105 187934175 189383805 195858465 200606549 201602115 202698925 204073155 208643175 213548907 215776275 217440665 218519775 218914839 222104025 231469095 233038377 235469025 238257045 239553275 241177365 246402585 250893075 252594045 255008325 256737195 258717537 267079725 267562581 270964521 271460475 273554385 275408991 278281575 284310675 291203055 294772335 298520235 308726055 315639675 316210323 326430775 328878225 331178859 336003525 336610989 340121925 352545237 355914845 364858065 385781825 388397295 391393197 397095075 401962275 404774161 410670975 416644371 420990075 427895325 431195895 443524653 445937635 448150725 451607535 455923975 459014985 478369463 480743505 485338425 488628855 491287225 492397893 497533725 509232009 514543425 524165499 527017205 529632675 530590203 551964765 555706899 561018315 565345729 568151415 587575395 601819647 608096775 612219465 625929525 640646721 647328825 652321995 656744517 694407285 718659825 723532095 739207755 752679225 765024975 776152611 801239175 802687743 814381425 820663155 848720015 852932025 873609165 884317005 919941275 926178165 935030525 946919025 948630969 979292325 993536577 1003032745 1008010575 1009832967 1020365775 1057635711 1067744535 1087203325 1094574195 1157345475 1159437851 1165191885 1174179591 1191285225 1205886825 1214322483 1232012925 1249933113 1262970225 1283685975 1293587685 1337812905 1354822605 1367771925 1377044955 1435108389 1456015275 1473861675 1477193679 1492601175 1527696027 1543630275 1581051615 1591770609 1655894295 1683054945 1696037187 1762726185 1779574225 1805458941 1824290325 1921940163 1941986475 1956965985 2023870805 2083221855 2155979475 2206672039 2217623265 2229688175 2258037675 2295074925 2391847315 2403717525 2408063229 2443144275 2461989465 2546160045 2620827495 2635086025 2652951015 2759823825 2778534495 2805091575 2826728645 2840757075 2845892907 2937876975 2980609731 3009098235 3029498901 3061097325 3203233605 3261609975 3283722585 3472036425 3478313553 3522538773 3617660475 3642967449 3696038775 3880763055 4013438715 4103315775 4243600075 4305325167 4368045825 4421585025 4583088081 4630890825 4743154845 4967682885 5015163725 5049164835 5088111561 5262064093 5288178555 5338722675 5416376823 5472870975 5765820489 5797189255 5825959425 5870897955 6071612415 6218803019 6249665565 6467938425 6620016117 6689064525 6774113025 6885224775 7175541945 7224189687 7385968395 7638480135 7905258075 7958853045 8279471475 8415274725 8480185935 8537678721 8813630925 9027294705 9609700815 9784829925 10119354025 10416109275 10434940659 10928902347 11033360195 11088116325 11959236575 12040316145 12309947325 12730800225 12915975501 13104137475 13264755075 13749264243 13892672475 14133643225 14229464535 14903048655 15045491175 15147494505 15264334683 15786192279 16016168025 16249130469 16418612925 17391567765 17612693865 18214837245 18656409057 19403815275 19860048351 20067193575 21526625835 22915440405 23715774225 24838414425 25245824175 25440557805 26310320465 26440892775 27081884115 28829102445 28985946275 29354489775 30358062075 31094015095 31248327825 31304821977 32786707041 33100080585 35877709725 36120948435 36929841975 38192400675 38747926503 39794265225 42400929675 42688393605 45136473525 45793004049 47358576837 48048504075 52174703295 54644511735 55166800975 55969227171 59580145053 60201580725 64579877505 68406833209 68746321215 71147322675 74515243275 75737472525 76321673415 78930961395 81245652345 86957838825 88063469325 91074186225 93282045285 93914465931 99300241755 107633129175 114577202025 127202789025 131551602325 135409420575 142075730511 144145512225 155470075475 156524109885 163933535205 165500402925 167907681513 178740435159 180604742175 193739632515 205220499627 213441968025 228965020245 236792884185 260873516475 273222558675 279846135855 297900725265 322899387525 342034166045 343731606075 381608367075 394654806975 406228261725 426227191533 466410226425 469572329655 496501208775 503723044539 615661498881 710378652555 782620549425 819667676025 839538407565 893702175795 968698162575 1026102498135 1144825101225 1183964420925 1399230679275 1489503626325 1710170830225 1846984496643 2131135957665 2347861648275 2518615222695 3078307494405 3551893262775 4197692037825 4468510878975 5130512490675 5540953489929 9234922483215 10655679788325 12593076113475 15391537472025 27704767449645 46174612416075 138523837248225
- Sum of all divisors σ(n): 321014736884457
- Sum of proper divisors (its aliquot sum) s(n): 182490899636232
- 138523837248225 is an abundant number, because the sum of its proper divisors (182490899636232) is greater than itself. Its abundance is 43967062388007
Bases of 138523837248225
- Binary: 111110111111100100110000001110010110010111000012
- Hexadecimal: 0x7DFC981CB2E1
- Base-36: 1D3OZ04929
Squares and roots of 138523837248225
- 138523837248225 squared (1385238372482252) is 19188853485972727940265650625
- 138523837248225 cubed (1385238372482253) is 2658113617270921108198285116848889251390625
-
138523837248225 is a
perfect square number . Itssquare root is 11769615 -
The
cube root of 138523837248225 is 51741.7966099415
Scales and comparisons
How big is 138523837248225?- 138,523,837,248,225 seconds is equal to 4,404,629 years, 28 weeks, 1 day, 8 hours, 3 minutes, 45 seconds.
-
To count from 1 to 138,523,837,248,225 would take you about eleven million, eleven thousand, five 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 138523837248225 cubic inches would be around 4311.8 feet tall.
Recreational maths with 138523837248225
- 138523837248225 backwards is 522842738325831
- The number of decimal digits it has is: 15
- The sum of 138523837248225's digits is 63
- More coming soon!
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"Number 138523837248225 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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The information we have on file for 138523837248225 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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