138146696913024
138,146,696,913,024 is an even composite number composed of five prime numbers multiplied together.
What does the number 138146696913024 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
138146696913024 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138146696913024:
27 × 39 × 192 × 193 × 787
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 193 × 787)See below for interesting mathematical facts about the number 138146696913024 from the Numbermatics database.
Names of 138146696913024
- Cardinal: 138146696913024 can be written as One hundred thirty-eight trillion, one hundred forty-six billion, six hundred ninety-six million, nine hundred thirteen thousand and twenty-four.
Scientific notation
- Scientific notation: 1.38146696913024 × 1014
Factors of 138146696913024
Divisors of 138146696913024
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 193 216 228 243 288 304 324 342 361 384 386 432 456 486 513 576 579 608 648 684 722 729 772 787 864 912 972 1026 1083 1152 1158 1216 1296 1368 1444 1458 1539 1544 1574 1728 1737 1824 1944 2052 2166 2187 2316 2361 2432 2592 2736 2888 2916 3078 3088 3148 3249 3456 3474 3648 3667 3888 4104 4332 4374 4617 4632 4722 5184 5211 5472 5776 5832 6156 6176 6296 6498 6561 6948 7083 7296 7334 7776 8208 8664 8748 9234 9264 9444 9747 10368 10422 10944 11001 11552 11664 12312 12352 12592 12996 13122 13851 13896 14166 14668 14953 15552 15633 16416 17328 17496 18468 18528 18888 19494 19683 20844 21249 21888 22002 23104 23328 24624 24704 25184 25992 26244 27702 27792 28332 29241 29336 29906 31104 31266 32832 33003 34656 34992 36936 37056 37776 38988 39366 41553 41688 42498 44004 44859 46208 46656 46899 49248 50368 51984 52488 55404 55584 56664 58482 58672 59812 62532 63747 65664 66006 69312 69673 69984 73872 74112 75552 77976 78732 83106 83376 84996 87723 88008 89718 93312 93798 98496 99009 100736 103968 104976 110808 111168 113328 116964 117344 119624 124659 125064 127494 132012 134577 138624 139346 139968 140697 147744 151104 151891 155952 157464 166212 166752 169992 175446 176016 179436 187596 191241 196992 198018 207936 209019 209952 221616 222336 226656 233928 234688 239248 249318 250128 254988 263169 264024 269154 278692 279936 281394 284107 295488 297027 302208 303782 311904 314928 332424 333504 339984 350892 352032 358872 373977 375192 382482 396036 403731 415872 418038 419904 422091 443232 453312 455673 467856 469376 478496 498636 500256 509976 526338 528048 538308 557384 562788 568214 573723 590976 594054 607564 623808 627057 629856 664848 667008 679968 701784 704064 717744 747954 750384 764964 789507 792072 807462 836076 839808 844182 852321 886464 891081 906624 911346 935712 956992 997272 1000512 1019952 1052676 1056096 1076616 1114768 1125576 1136428 1147446 1188108 1211193 1215128 1247616 1254114 1259712 1266273 1329696 1359936 1367019 1403568 1408128 1435488 1495908 1500768 1529928 1579014 1584144 1614924 1672152 1688364 1704642 1721169 1772928 1782162 1822692 1871424 1881171 1913984 1994544 2001024 2039904 2105352 2112192 2153232 2229536 2251152 2272856 2294892 2368521 2376216 2422386 2430256 2508228 2519424 2532546 2556963 2659392 2673243 2719872 2734038 2807136 2870976 2885929 2991816 3001536 3059856 3158028 3168288 3229848 3344304 3376728 3409284 3442338 3564324 3633579 3645384 3742848 3762342 3798819 3989088 4079808 4101057 4210704 4224384 4306464 4459072 4502304 4545712 4589784 4737042 4752432 4844772 4860512 5016456 5065092 5113926 5163507 5318784 5346486 5468076 5614272 5643513 5741952 5771858 5983632 6003072 6119712 6316056 6336576 6459696 6688608 6753456 6818568 6884676 7105563 7128648 7267158 7290768 7524684 7597638 7670889 7978176 8019729 8159616 8202114 8421408 8612928 8657787 8918144 9004608 9091424 9179568 9474084 9504864 9689544 9721024 10032912 10130184 10227852 10327014 10692972 10900737 10936152 11228544 11287026 11543716 11967264 12239424 12303171 12632112 12673152 12919392 13377216 13506912 13637136 13769352 14211126 14257296 14534316 14581536 15049368 15195276 15341778 15490521 15956352 16039458 16404228 16842816 16930539 17225856 17315574 18009216 18182848 18359136 18948168 19009728 19379088 19442048 20065824 20260368 20455704 20654028 21385944 21801474 21872304 22574052 23012667 23087432 23934528 24059187 24478848 24606342 25264224 25838784 25973361 26754432 27013824 27274272 27538704 28422252 28514592 29068632 29163072 30098736 30390552 30683556 30981042 32078916 32702211 32808456 33685632 33861078 34631148 36365696 36718272 36909513 37896336 38019456 38758176 40131648 40520736 40911408 41308056 42771888 43602948 43744608 45148104 46025334 46174864 47869056 48118374 49212684 50528448 50791617 51677568 51946722 54027648 54548544 54832651 55077408 56844504 57029184 58137264 58326144 60197472 60781104 61367112 61962084 64157832 65404422 65616912 67722156 69038001 69262296 72177561 73436544 73819026 75792672 77516352 77920083 80263296 81041472 81822816 82616112 85543776 87205896 87489216 90296208 92050668 92349728 96236748 98106633 98425368 101056896 101583234 103893444 109097088 109665302 110154816 110728539 113689008 114058368 116274528 120394944 121562208 122734224 123924168 128315664 130808844 131233824 135444312 138076002 138524592 144355122 147638052 151585344 152374851 155032704 155840166 162082944 163645632 164497953 165232224 171087552 174411792 174978432 180592416 184101336 184699456 192473496 196213266 196850736 203166468 207114003 207786888 219330604 220309632 221457078 227378016 232549056 233760249 240789888 243124416 245468448 247848336 256631328 261617688 262467648 270888624 276152004 277049184 288710244 294319899 295276104 303170688 304749702 311680332 327291264 328995906 330464448 332185617 342175104 348823584 361184832 368202672 369398912 384946992 392426532 393701472 406332936 414228006 415573776 438661208 442914156 454756032 457124553 465098112 467520498 486248832 490936896 493493859 495696672 513262656 523235376 524935296 541777248 552304008 554098368 577420488 588639798 590552208 609499404 621342009 623360664 657991812 660928896 664371234 697647168 701280747 722369664 736405344 769893984 784853064 787402944 812665872 828456012 831147552 877322416 885828312 909512064 914249106 935040996 981873792 986987718 991393344 996556851 1026525312 1046470752 1083554496 1104608016 1108196736 1154840976 1177279596 1181104416 1218998808 1242684018 1246721328 1315983624 1328742468 1371373659 1395294336 1402561494 1472810688 1480481577 1539787968 1569706128 1574805888 1625331744 1656912024 1662295104 1754644832 1771656624 1828498212 1864026027 1870081992 1973975436 1982786688 1993113702 2092941504 2103842241 2167108992 2209216032 2309681952 2354559192 2362208832 2437997616 2485368036 2493442656 2631967248 2657484936 2742747318 2805122988 2945621376 2960963154 2989670553 3079575936 3139412256 3250663488 3313824048 3324590208 3509289664 3543313248 3656996424 3728052054 3740163984 3947950872 3986227404 4185883008 4207684482 4418432064 4441444731 4619363904 4709118384 4724417664 4875995232 4970736072 4986885312 5263934496 5314969872 5485494636 5592078081 5610245976 5921926308 5979341106 6278824512 6311526723 6501326976 6627648096 7018579328 7086626496 7313992848 7456104108 7480327968 7895901744 7972454808 8415368964 8836864128 8882889462 9238727808 9418236768 9751990464 9941472144 9973770624 10527868992 10629939744 10970989272 11184156162 11220491952 11843852616 11958682212 12557649024 12623053446 13255296192 13324334193 14173252992 14627985696 14912208216 14960655936 15791803488 15944909616 16830737928 17765778924 18836473536 18934580169 19503980928 19882944288 21055737984 21259879488 21941978544 22368312324 22440983904 23687705232 23917364424 25246106892 26510592384 26648668386 29255971392 29824416432 29921311872 31583606976 31889819232 33661475856 35531557848 37672947072 37869160338 39765888576 39973002579 42519758976 43883957088 44736624648 44881967808 47375410464 47834728848 50492213784 53297336772 56803740507 58511942784 59648832864 63167213952 63779638464 67322951712 71063115696 75738320676 79531777152 79946005158 87767914176 89473249296 89763935616 94750820928 95669457696 100984427568 106594673544 113607481014 119297665728 119919007737 127559276928 134645903424 142126231392 151476641352 159892010316 175535828352 178946498592 189501641856 191338915392 201968855136 213189347088 227214962028 238595331456 239838015474 269291806848 284252462784 302953282704 319784020632 357892997184 359757023211 382677830784 403937710272 426378694176 454429924056 479676030948 568504925568 605906565408 639568041264 715785994368 719514046422 807875420544 852757388352 908859848112 959352061896 1079271069633 1211813130816 1279136082528 1439028092844 1705514776704 1817719696224 1918704123792 2158542139266 2423626261632 2558272165056 2878056185688 3635439392448 3837408247584 4317084278532 5116544330112 5756112371376 7270878784896 7674816495168 8634168557064 11512224742752 15349632990336 17268337114128 23024449485504 34536674228256 46048898971008 69073348456512 138146696913024
- Sum of all divisors σ(n): 438498689919840
- Sum of proper divisors (its aliquot sum) s(n): 300351993006816
- 138146696913024 is an abundant number, because the sum of its proper divisors (300351993006816) is greater than itself. Its abundance is 162205296093792
Bases of 138146696913024
- Binary: 111110110100100110010001100101111100000100000002
- Hexadecimal: 0x7DA4C8CBE080
- Base-36: 1CYVPSI000
Squares and roots of 138146696913024
- 138146696913024 squared (1381466969130242) is 19084509867978914771020824576
- 138146696913024 cubed (1381466969130243) is 2636462000465298810983704142266518233677824
-
The
square root of 138146696913024 is 11753582.3012826179 -
The
cube root of 138146696913024 is 51694.7971065765
Scales and comparisons
How big is 138146696913024?- 138,146,696,913,024 seconds is equal to 4,392,637 years, 33 weeks, 4 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,146,696,913,024 would take you about ten million, nine hundred eighty-one thousand, five hundred ninety-four 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 138146696913024 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138146696913024
- 138146696913024 backwards is 420319696641831
- The number of decimal digits it has is: 15
- The sum of 138146696913024's digits is 63
- More coming soon!
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The information we have on file for 138146696913024 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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