138431947260672
138,431,947,260,672 is an even composite number composed of six prime numbers multiplied together.
What does the number 138431947260672 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138431947260672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138431947260672:
28 × 32 × 132 × 17 × 193 × 3049
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 17 × 19 × 19 × 19 × 3049)See below for interesting mathematical facts about the number 138431947260672 from the Numbermatics database.
Names of 138431947260672
- Cardinal: 138431947260672 can be written as One hundred thirty-eight trillion, four hundred thirty-one billion, nine hundred forty-seven million, two hundred sixty thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.38431947260672 × 1014
Factors of 138431947260672
Divisors of 138431947260672
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 32 34 36 38 39 48 51 52 57 64 68 72 76 78 96 102 104 114 117 128 136 144 152 153 156 169 171 192 204 208 221 228 234 247 256 272 288 304 306 312 323 338 342 361 384 408 416 442 456 468 494 507 544 576 608 612 624 646 663 676 684 722 741 768 816 832 884 912 936 969 988 1014 1083 1088 1152 1216 1224 1248 1292 1326 1352 1368 1444 1482 1521 1632 1664 1768 1824 1872 1938 1976 1989 2028 2166 2176 2223 2304 2432 2448 2496 2584 2652 2704 2736 2873 2888 2907 2964 3042 3049 3211 3249 3264 3328 3536 3648 3744 3876 3952 3978 4056 4199 4332 4352 4446 4693 4864 4896 4992 5168 5304 5408 5472 5746 5776 5814 5928 6084 6098 6137 6422 6498 6528 6859 7072 7296 7488 7752 7904 7956 8112 8398 8619 8664 8892 9147 9386 9633 9792 9984 10336 10608 10816 10944 11492 11552 11628 11856 12168 12196 12274 12597 12844 12996 13056 13718 14079 14144 14592 14976 15504 15808 15912 16224 16796 17238 17328 17784 18294 18411 18772 19266 19584 20577 20672 21216 21632 21888 22984 23104 23256 23712 24336 24392 24548 25194 25688 25857 25992 27436 27441 28158 28288 28899 29952 31008 31616 31824 32448 33592 34476 34656 35568 36588 36822 37544 37791 38532 39168 39637 41154 41344 42237 42432 43264 43776 45968 46208 46512 47424 48672 48784 49096 50388 51376 51714 51833 51984 54587 54872 54882 55233 56316 56576 57798 57931 61009 61731 62016 63232 63648 64896 67184 68952 69312 71136 73176 73644 75088 75582 77064 79274 79781 82308 82688 84474 84864 89167 91936 92416 93024 94848 97344 97568 98192 100776 102752 103428 103666 103968 109174 109744 109764 110466 112632 115596 115862 116603 118911 122018 123462 124032 127296 129792 134368 137904 138624 142272 146352 147288 150176 151164 154128 155499 158548 159562 163761 164616 168948 169728 173793 178334 183027 183872 186048 189696 194688 195136 196384 201552 205504 206856 207332 207936 218348 219488 219528 220932 225264 231192 231724 233206 237822 239343 244036 246924 248064 254592 267501 268736 275808 277248 284544 292704 294576 300352 302328 308256 310998 317096 319124 327522 329232 337896 347586 349809 356668 356733 366054 367744 372096 389376 390272 392768 403104 411008 413712 414664 415872 436696 438976 439056 441864 450528 462384 463448 466412 466497 475644 478686 488072 491283 493848 509184 515281 521379 535002 537472 549081 551616 569088 585408 589152 600704 604656 616512 621996 634192 638248 655044 658464 673829 675792 695172 699618 713336 713466 718029 732108 735488 744192 753103 780544 785536 802503 806208 822016 827424 829328 831744 873392 877952 878112 883728 901056 924768 926896 932824 932994 951288 957372 976144 982566 984827 987696 1030562 1037153 1042758 1049427 1070004 1074944 1098162 1100689 1103232 1159171 1170816 1178304 1201408 1209312 1233024 1243992 1268384 1276496 1310088 1316928 1347658 1351584 1390344 1399236 1426672 1426932 1436058 1464216 1506206 1515839 1545843 1571072 1605006 1612416 1654848 1658656 1746784 1755904 1756224 1767456 1802112 1849536 1853792 1865648 1865988 1902576 1914744 1952288 1965132 1969654 1975392 2021487 2061124 2074306 2085516 2098854 2140008 2196324 2201378 2206464 2259309 2318342 2341632 2356608 2418624 2466048 2487984 2536768 2552992 2620176 2633856 2695316 2703168 2780688 2798472 2853344 2853864 2872116 2928432 2954481 3012412 3031678 3091686 3111459 3210012 3224832 3302067 3309696 3317312 3477513 3493568 3512448 3534912 3604224 3699072 3707584 3731296 3731976 3805152 3829488 3904576 3930264 3939308 3950784 4042974 4122248 4148612 4171032 4197708 4280016 4392648 4402756 4518618 4547517 4636684 4637529 4713216 4837248 4975968 5073536 5105984 5240352 5267712 5390632 5406336 5561376 5596944 5706688 5707728 5744232 5856864 5908962 6024824 6063356 6064461 6183372 6222918 6420024 6604134 6619392 6634624 6777927 6955026 6987136 7024896 7069824 7398144 7415168 7462592 7463952 7610304 7658976 7809152 7860528 7878616 7901568 8085948 8244496 8297224 8342064 8395416 8560032 8759777 8785296 8805512 8863443 9037236 9095034 9273368 9275058 9334377 9674496 9790339 9906201 9951936 10147072 10211968 10432539 10480704 10781264 10812672 11122752 11193888 11413376 11415456 11488464 11713728 11817924 12049648 12126712 12128922 12366744 12445836 12802751 12840048 13208268 13269248 13555854 13642551 13910052 13974272 14139648 14308957 14830336 14925184 14927904 15220608 15317952 15618304 15721056 15757232 15803136 16171896 16488992 16594448 16684128 16790832 17120064 17519554 17570592 17611024 17726886 18074472 18190068 18546736 18550116 18668754 18711713 19580678 19705907 19812402 19903872 20423936 20865078 20913091 20961408 21562528 22245504 22387776 22826752 22830912 22976928 23427456 23635848 24099296 24253424 24257844 24733488 24891672 25605502 25680096 26279331 26416536 27111708 27285102 27820104 28617914 29371017 29850368 29855808 30441216 30635904 31442112 31514464 32343792 32977984 33188896 33368256 33581664 34240128 35039108 35141184 35222048 35453772 36148944 36380136 37093472 37100232 37337508 37423426 38408253 39161356 39411814 39624804 39807744 41730156 41826182 41922816 42926871 43125056 44491008 44775552 45661824 45953856 46854912 47271696 48198592 48506848 48515688 49466976 49783344 51211004 51360192 52558662 52833072 54223416 54570204 55640208 56135139 57235828 58742034 59117721 59711616 61271808 62739273 62884224 63028928 64687584 65955968 66377792 66736512 67163328 68480256 70078216 70282368 70444096 70907544 72297888 72760272 74186944 74200464 74675016 74846852 76816506 78322712 78823628 78837993 79249608 83460312 83652364 85853742 86250112 88113051 89551104 91323648 91907712 94543392 96397184 97013696 97031376 98933952 99566688 102422008 102720384 105117324 105666144 108446832 109140408 111280416 112270278 114471656 115224759 117484068 118235442 119423232 125478546 125768448 126057856 128780613 129375168 131911936 132755584 133473024 134326656 140156432 140564736 140888192 141815088 144595776 145520544 148373888 148400928 149350032 149693704 153633012 156645424 157647256 157675986 158499216 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686829936 704904408 709412652 711045094 729756807 744065764 752871276 756347136 776251008 796533504 815610549 819376064 840938592 845329152 867574656 873123264 890243328 898162224 915773248 921798072 939872544 945883536 973009076 998614578 1003828368 1030244904 1066567641 1087480732 1116098646 1121251456 1134520704 1164164352 1187207424 1194800256 1197549632 1229064096 1253163392 1261178048 1261407888 1267993728 1331486104 1335364992 1338437824 1347243336 1373659872 1409808816 1418825304 1422090188 1459513614 1488131528 1497921867 1505742552 1552502016 1631221098 1638752128 1674147969 1681877184 1735149312 1746246528 1796324448 1831546496 1843596144 1879745088 1891767072 1946018152 1997229156 2007656736 2060489808 2133135282 2174961464 2189270421 2232197292 2242502912 2269041408 2389600512 2395099264 2446831647 2458128192 2506326784 2522356096 2522815776 2535987456 2662972208 2670729984 2676875648 2694486672 2747319744 2819617632 2837650608 2844180376 2919027228 2976263056 2995843734 3011485104 3162279497 3199702923 3262442196 3277504256 3348295938 3363754368 3492493056 3534312379 3592648896 3663092992 3687192288 3759490176 3783534144 3892036304 3994458312 4015313472 4120979616 4266270564 4349922928 4378540842 4464394584 4621793111 4790198528 4893663294 4916256384 5044712192 5045631552 5325944416 5353751296 5388973344 5494639488 5639235264 5675301216 5688360752 5838054456 5952526112 5991687468 6022970208 6324558994 6399405846 6524884392 6696591876 6727508736 7068624758 7185297792 7374384576 7518980352 7567068288 7784072608 7988916624 8030626944 8241959232 8532541128 8699845856 8757081684 8928789168 9243586222 9486838491 9787326588 9832512768 10091263104 10602937137 10651888832 10777946688 10989278976 11278470528 11350602432 11376721504 11676108912 11905052224 11983374936 12045940416 12649117988 12798811692 13049768784 13393183752 13865379333 14137249516 14370595584 14748769152 15134136576 15568145216 15977833248 16061253888 16483918464 17065082256 17399691712 17514163368 17857578336 18487172444 18973676982 19574653176 20182526208 21205874274 21303777664 21555893376 22556941056 22701204864 22753443008 23352217824 23810104448 23966749872 24091880832 25298235976 25597623384 26099537568 26786367504 27730758666 28274499032 28460515473 29497538304 31136290432 31808811411 31955666496 32967836928 34130164512 34799383424 35028326736 35715156672 36974344888 37947353964 39149306352 41596137999 42411748548 42607555328 43111786752 45402409728 45506886016 46704435648 47620208896 47933499744 48183761664 50596471952 51195246768 52199075136 53572735008 55461517332 56548998064 56921030946 60083310443 62272580864 63617622822 63911332992 68260329024 69598766848 70056653472 71430313344 73948689776 75894707928 78298612704 83192275998 84823497096 91013772032 93408871296 95866999488 101192943904 102390493536 104398150272 107145470016 110923034664 113097996128 113842061892 120166620886 127235245644 127822665984 136520658048 140113306944 142860626688 147897379552 151789415856 156597225408 166384551996 169646994192 180249931329 186817742592 191733998976 202385887808 204780987072 208796300544 214290940032 221846069328 226195992256 227684123784 240333241772 254470491288 273041316096 280226613888 295794759104 303578831712 313194450816 332769103992 339293988384 360499862658 383467997952 404771775616 409561974144 428581880064 443692138656 452391984512 455368247568 480666483544 508940982576 540749793987 560453227776 591589518208 607157663424 626388901632 665538207984 678587976768 720999725316 809543551232 819123948288 887384277312 904783969024 910736495136 961332967088 1017881965152 1081499587974 1183179036416 1214315326848 1331076415968 1357175953536 1441999450632 1774768554624 1821472990272 1922665934176 2035763930304 2162999175948 2428630653696 2662152831936 2714351907072 2883998901264 3549537109248 3642945980544 3845331868352 4071527860608 4325998351896 5324305663872 5767997802528 7285891961088 7690663736704 8143055721216 8651996703792 10648611327744 11535995605056 15381327473408 17303993407584 23071991210112 34607986815168 46143982420224 69215973630336 138431947260672
- Sum of all divisors σ(n): 483199251444000
- Sum of proper divisors (its aliquot sum) s(n): 344767304183328
- 138431947260672 is an abundant number, because the sum of its proper divisors (344767304183328) is greater than itself. Its abundance is 206335356922656
Bases of 138431947260672
- Binary: 111110111100111001100110000101011000011000000002
- Hexadecimal: 0x7DE7330AC300
- Base-36: 1D2IRB6WW0
Squares and roots of 138431947260672
- 138431947260672 squared (1384319472606722) is 19163404022381474044717891584
- 138431947260672 cubed (1384319472606723) is 2652827334961261882062486399892736282984448
-
The
square root of 138431947260672 is 11765710.6568482297 -
The
cube root of 138431947260672 is 51730.3530806983
Scales and comparisons
How big is 138431947260672?- 138,431,947,260,672 seconds is equal to 4,401,707 years, 37 weeks, 4 days, 19 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,431,947,260,672 would take you about eleven million, four thousand, two hundred sixty-nine 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 138431947260672 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138431947260672
- 138431947260672 backwards is 276062749134831
- The number of decimal digits it has is: 15
- The sum of 138431947260672's digits is 63
- More coming soon!
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"Number 138431947260672 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138431947260672 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138431947260672/
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The information we have on file for 138431947260672 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 138431947260672, math, Factors of 138431947260672, curriculum, school, college, exams, university, Prime factorization of 138431947260672, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred thirty-one billion, nine hundred forty-seven million, two hundred sixty thousand, six hundred seventy-two.