138809613840573312
138,809,613,840,573,312 is an even composite number composed of six prime numbers multiplied together.
138809613840573312 is an even 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 138809613840573312:
27 × 32 × 7 × 13 × 793 × 1393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 79 × 79 × 79 × 139 × 139 × 139)See below for interesting mathematical facts about the number 138809613840573312 from the Numbermatics database.
Names of 138809613840573312
- Cardinal: 138809613840573312 can be written as One hundred thirty-eight quadrillion, eight hundred nine trillion, six hundred thirteen billion, eight hundred forty million, five hundred seventy-three thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38809613840573312 × 1017
Factors of 138809613840573312
Divisors of 138809613840573312
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 79 84 91 96 104 112 117 126 128 139 144 156 158 168 182 192 208 224 234 237 252 273 278 288 312 316 336 364 384 416 417 448 468 474 504 546 553 556 576 624 632 672 711 728 819 832 834 896 936 948 973 1008 1027 1092 1106 1112 1152 1248 1251 1264 1344 1422 1456 1638 1659 1664 1668 1807 1872 1896 1946 2016 2054 2184 2212 2224 2496 2502 2528 2688 2844 2912 2919 3081 3276 3318 3336 3614 3744 3792 3892 4032 4108 4368 4424 4448 4977 4992 5004 5056 5421 5688 5824 5838 6162 6241 6552 6636 6672 7189 7228 7488 7584 7784 8064 8216 8736 8757 8848 8896 9243 9954 10008 10112 10842 10981 11376 11648 11676 12324 12482 12649 13104 13272 13344 14378 14456 14976 15168 15568 16263 16432 17472 17514 17696 17792 18486 18723 19321 19908 20016 21567 21684 21962 22752 23352 24648 24964 25298 26208 26544 26688 28756 28912 30336 31136 32526 32864 32943 34944 35028 35392 36972 37446 37947 38642 39816 40032 43134 43368 43687 43924 45504 46704 49296 49928 50596 52416 53088 53376 56169 57512 57824 57963 62272 64701 65052 65728 65886 70056 70784 73944 74892 75894 76867 77284 79632 80064 81133 86268 86736 87374 87848 91008 93408 98592 98829 99856 101192 104832 106176 112338 113841 115024 115648 115926 124544 129402 130104 131061 131456 131772 135247 140112 142753 147888 149784 151788 153734 154568 159264 160128 162266 172536 173472 173889 174748 175696 186816 197184 197658 199712 202384 212352 224676 227682 230048 230601 231296 231852 243399 251173 258804 260208 262122 263544 270494 280224 285506 295776 299568 303576 307468 309136 318528 324532 345072 346944 347778 349496 351392 373632 393183 394368 395316 399424 404768 405741 428259 449352 455364 460096 461202 463704 486798 493039 502346 517608 520416 524244 527088 540988 560448 567931 571012 591552 599136 607152 614936 618272 637056 649064 690144 691803 693888 695556 698992 702784 730197 753519 786366 790632 798848 809536 811482 856518 867499 898704 910728 920192 922404 927408 973596 986078 999271 1004692 1035216 1040832 1048488 1054176 1081976 1120896 1135862 1142024 1183104 1198272 1214304 1217223 1229872 1236544 1284777 1298128 1380288 1383606 1391112 1397984 1405568 1460394 1479117 1507038 1526359 1572732 1581264 1619072 1622964 1703793 1713036 1734998 1758211 1797408 1821456 1844808 1854816 1947192 1972156 1998542 2009384 2070432 2081664 2096976 2108352 2163952 2260557 2271724 2284048 2396544 2428608 2434446 2459744 2473088 2569554 2596256 2602497 2685619 2760576 2767212 2782224 2795968 2920788 2958234 2997813 3014076 3052718 3145464 3162528 3245928 3407586 3426072 3451273 3469996 3516422 3594816 3642912 3689616 3709632 3894384 3944312 3997084 4018768 4140864 4193952 4216704 4327904 4437351 4521114 4543448 4568096 4579077 4857216 4868892 4919488 5111379 5139108 5192512 5204994 5274633 5371238 5534424 5564448 5591936 5841576 5916468 5995626 6028152 6072493 6105436 6290928 6325056 6409507 6491856 6815172 6852144 6902546 6939992 7032844 7189632 7285824 7379232 7419264 7788768 7807491 7888624 7994168 8037536 8056857 8281728 8387904 8655808 8874702 8993439 9042228 9086896 9136192 9158154 9737784 9838976 10222758 10278216 10353819 10385024 10409988 10549266 10684513 10742476 11068848 11128896 11277487 11683152 11832936 11991252 12056304 12144986 12210872 12581856 12650112 12819014 12983712 13630344 13704288 13737231 13805092 13879984 14065688 14571648 14758464 15577536 15614982 15777248 15823899 15988336 16075072 16113714 16775808 17311616 17749404 17986878 18084456 18173792 18217479 18272384 18316308 18799333 19228521 19475568 19842667 20445516 20556432 20707638 20819976 21098532 21369026 21484952 22137696 22257792 22554974 23366304 23665872 23982504 24112608 24170571 24289972 24421744 25163712 25638028 25967424 27260688 27408576 27474462 27610184 27759968 28131376 29516928 31061457 31155072 31229964 31554496 31647798 31976672 32053539 32150144 32227428 33832461 34913047 35498808 35973756 36168912 36347584 36434958 36632616 37598666 38457042 38951136 39685334 40891032 41112864 41415276 41639952 42197064 42738052 42969904 44275392 44866549 45109948 46732608 47331744 47965008 48225216 48341142 48579944 48843488 50327424 51276056 51934848 54521376 54652437 54817152 54948924 55220368 55519936 56262752 56397999 57685563 59528001 62122914 62459928 63108992 63295596 63953344 64107078 64454856 67664922 68532421 69826094 70997616 71947512 72337824 72695168 72869916 73265232 75197332 76914084 77902272 78942409 79370668 81782064 82225728 82830552 83279904 84394128 85476104 85939808 88550784 89733098 90219896 93465216 94663488 95930016 96160617 96450432 96682284 97159888 97686976 101497383 102552112 104739141 109042752 109304874 109897848 110440736 111039872 112525504 112795998 115371126 119056002 120582361 124245828 124919856 126591192 127906688 128214156 128909712 134599647 135329844 137064842 138898669 139652188 141995232 143895024 144675648 145739832 146530464 150394664 153828168 155804544 157884818 158741336 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106930606104 108041795456 112256105598 112865089896 114037948544 114312078228 115841489946 117326637253 121547019888 122206406976 123838084747 128292692112 131675938212 132390274224 133364091266 134087585432 138161360736 138910879872 140769405504 142574141472 149674807464 150486786528 150848533611 152416104304 154455319928 160011266688 162062693184 171056922816 171468117342 173762234919 175567917616 176520365632 184215147648 190098855296 197513907318 198585411336 199566409952 200046136899 200649048704 201131378148 213861212208 217892326327 224512211196 225730179792 228624156456 231682979892 234653274506 243094039776 244412813952 247676169494 256585384224 263351876424 264780548448 266728182532 268175170864 276322721472 281538811008 285148282944 299349614928 300973573056 301697067222 304832208608 308910639856 324125386368 342113845632 342936234684 347524469838 351135835232 351979911759 353040731264 371514254241 395027814636 397170822672 399132819904 400092273798 402262756296 427722424416 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1961030936943 1981409355952 2106815011392 2111879470554 2133825460256 2145401366912 2229085525446 2394796919424 2400553642788 2413576537776 2471285118848 2600599779687 2614707915924 2648229812282 2743489877472 2780195758704 2815839294072 2972114033928 3050492568578 3160222517088 3177366581376 3200738190384 3218102050368 3467466372916 3486277221232 3592195379136 3657986503296 3706927678272 3754452392096 3922061873886 3962818711904 3972344718423 4213630022784 4223758941108 4267650920512 4458171050892 4575738852867 4801107285576 4827153075552 5201199559374 5229415831848 5296459624564 5486979754944 5560391517408 5631678588144 5944228067856 6100985137156 6320445034176 6401476380768 6436204100736 6934932745832 6972554442464 7184390758272 7413855356544 7508904784192 7801799339061 7844123747772 7925637423808 7944689436846 8447517882216 8535301841024 8916342101784 9151477705734 9268804342987 9602214571152 9654306151104 10402399118748 10458831663696 10592919249128 10973959509888 11120783034816 11263357176288 11888456135712 11917034155269 12201970274312 12640890068352 12802952761536 13727216558601 13869865491664 13945108884928 15017809568384 15603598678122 15688247495544 15851274847616 15889378873692 16895035764432 17213493779833 17832684203568 18302955411468 18537608685974 19204429142304 19308612302208 20804798237496 20917663327392 21185838498256 22241566069632 22526714352576 23776912271424 23834068310538 24403940548624 25605905523072 27454433117202 27739730983328 27806413028961 27890217769856 31207197356244 31376494991088 31778757747384 33790071528864 34426987559666 35665368407136 36605910822936 37075217371948 38408858284608 41609596474992 41835326654784 42371676996512 45053428705152 47553824542848 47668136621076 48807881097248 51640481339499 54908866234404 55479461966656 55612826057922 62414394712488 62752989982176 63557515494768 67580143057728 68853975119332 71330736814272 73211821645872 74150434743896 76817716569216 83219192949984 83419239086883 83670653309568 84743353993024 95336273242152 97615762194496 103280962678998 109817732468808 110958923933312 111225652115844 120494456458831 124828789424976 125505979964352 127115030989536 135160286115456 137707950238664 142661473628544 146423643291744 148300869487792 154921444018497 166438385899968 166838478173766 169486707986048 190672546484304 195231524388992 206561925357996 219635464937616 222451304231688 240988912917662 249657578849952 251011959928704 254230061979072 275415900477328 292847286583488 296601738975584 309842888036994 332876771799936 333676956347532 361483369376493 381345092968608 413123850715992 439270929875232 444902608463376 481977825835324 499315157699904 508460123958144 550831800954656 585694573166976 593203477951168 619685776073988 667353912695064 722966738752986 762690185937216 826247701431984 878541859750464 889805216926752 963955651670648 998630315399808 1084450108129479 1101663601909312 1186406955902336 1239371552147976 1334707825390128 1445933477505972 1525380371874432 1652495402863968 1757083719500928 1779610433853504 1927911303341296 2168900216258958 2203327203818624 2478743104295952 2669415650780256 2891866955011944 3304990805727936 3559220867707008 3855822606682592 4337800432517916 4957486208591904 5338831301560512 5783733910023888 6609981611455872 7711645213365184 8675600865035832 9914972417183808 10677662603121024 11567467820047776 15423290426730368 17351201730071664 19829944834367616 23134935640095552 34702403460143328 46269871280191104 69404806920286656 138809613840573312
- Sum of all divisors σ(n): 501528272254464000
- Sum of proper divisors (its aliquot sum) s(n): 362718658413890688
- 138809613840573312 is an abundant number, because the sum of its proper divisors (362718658413890688) is greater than itself. Its abundance is 223909044573317376
Bases of 138809613840573312
- Binary: 1111011010010011010011011101111000110000001100011100000002
- Hexadecimal: 0x1ED269BBC606380
- Base-36: 11YRWG9MNKW0
Squares and roots of 138809613840573312
- 138809613840573312 squared (1388096138405733122) is 19268108894569081980260004846649344
- 138809613840573312 cubed (1388096138405733123) is 2674598755093250180929756965088190682427963188707328
-
The
square root of 138809613840573312 is 372571622.4306050285 -
The
cube root of 138809613840573312 is 517773.5351704757
Scales and comparisons
How big is 138809613840573312?- 138,809,613,840,573,312 seconds is equal to 4,413,716,353 years, 41 weeks, 5 days, 9 hours, 55 minutes, 12 seconds.
-
To count from 1 to 138,809,613,840,573,312 would take you about thirteen billion, two hundred forty-one million, one hundred forty-nine thousand and sixty-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 138809613840573312 cubic inches would be around 43147.8 feet tall.
Recreational maths with 138809613840573312
- 138809613840573312 backwards is 213375048316908831
- 138809613840573312 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138809613840573312's digits is 72
- More coming soon!
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"Number 138809613840573312 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138809613840573312 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138809613840573312/
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The information we have on file for 138809613840573312 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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