137485069757753146128
137,485,069,757,753,146,128 is an even composite number composed of six prime numbers multiplied together.
137485069757753146128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 137485069757753146128:
24 × 32 × 72 × 31 × 14341 × 43828422203
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 31 × 14341 × 43828422203)See below for interesting mathematical facts about the number 137485069757753146128 from the Numbermatics database.
Names of 137485069757753146128
- Cardinal: 137485069757753146128 can be written as One hundred thirty-seven quintillion, four hundred eighty-five quadrillion, sixty-nine trillion, seven hundred fifty-seven billion, seven hundred fifty-three million, one hundred forty-six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37485069757753146128 × 1020
Factors of 137485069757753146128
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 43828436587
Divisors of 137485069757753146128
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 49 56 62 63 72 84 93 98 112 124 126 144 147 168 186 196 217 248 252 279 294 336 372 392 434 441 496 504 558 588 651 744 784 868 882 1008 1116 1176 1302 1488 1519 1736 1764 1953 2232 2352 2604 3038 3472 3528 3906 4464 4557 5208 6076 7056 7812 9114 10416 12152 13671 14341 15624 18228 24304 27342 28682 31248 36456 43023 54684 57364 72912 86046 100387 109368 114728 129069 172092 200774 218736 229456 258138 301161 344184 401548 444571 516276 602322 688368 702709 803096 889142 903483 1032552 1204644 1333713 1405418 1606192 1778284 1806966 2065104 2108127 2409288 2667426 2810836 3111997 3556568 3613932 4001139 4216254 4818576 5334852 5621672 6223994 6324381 7113136 7227864 8002278 8432508 9335991 10669704 11243344 12447988 12648762 14455728 16004556 16865016 18671982 21339408 21783979 24895976 25297524 28007973 32009112 33730032 37343964 43567958 49791952 50595048 56015946 64018224 65351937 74687928 87135916 101190096 112031892 130703874 149375856 174271832 196055811 224063784 261407748 348543664 392111622 448127568 522815496 784223244 1045630992 1568446488 3136892976 43828422203 87656844406 131485266609 175313688812 262970533218 306798955421 350627377624 394455799827 525941066436 613597910842 701254755248 788911599654 920396866263 1051882132872 1227195821684 1358681088293 1577823199308 1840793732526 2103764265744 2147592687947 2454391643368 2717362176586 2761190598789 3155646398616 3681587465052 4076043264879 4295185375894 4908783286736 5434724353172 5522381197578 6311292797232 6442778063841 7363174930104 8152086529758 8590370751788 9510767618051 10869448706344 11044762395156 12228129794637 12885556127682 14726349860208 16304173059516 17180741503576 19021535236102 19328334191523 21738897412688 22089524790312 24456259589274 25771112255364 28532302854153 32608346119032 34361483007152 38043070472204 38656668383046 44179049580624 48912519178548 51542224510728 57064605708306 65216692238064 66575373326357 76086140944408 77313336766092 85596908562459 97825038357096 103084449021456 114129211416612 133150746652714 152172281888816 154626673532184 171193817124918 195650076714192 199726119979071 228258422833224 266301493305428 309253347064368 342387634249836 399452239958142 456516845666448 532602986610856 599178359937213 628543402813223 684775268499672 798904479916284 1065205973221712 1198356719874426 1257086805626446 1369550536999344 1597808959832568 1885630208439669 2396713439748852 2514173611252892 3195617919665136 3771260416879338 4399803819692561 4793426879497704 5028347222505784 5656890625319007 7542520833758676 8799607639385122 9586853758995408 10056694445011568 11313781250638014 13199411459077683 15085041667517352 17599215278770244 19484845487209913 22627562501276028 26398822918155366 30170083335034704 30798626737847927 35198430557540488 38969690974419826 39598234377233049 45255125002552056 52797645836310732 58454536461629739 61597253475695854 70396861115080976 77939381948839652 79196468754466098 90510250005104112 92395880213543781 105595291672621464 116909072923259478 123194506951391708 136393918410469391 155878763897679304 158392937508932196 175363609384889217 184791760427087562 211190583345242928 233818145846518956 246389013902783416 272787836820938782 277187640640631343 311757527795358608 316785875017864392 350727218769778434 369583520854175124 409181755231408173 467636291693037912 492778027805566832 545575673641877564 554375281281262686 633571750035728784 701454437539556868 739167041708350248 818363510462816346 935272583386075824 954757428873285737 1091151347283755128 1108750562562525372 1227545265694224519 1402908875079113736 1478334083416700496 1636727020925632692 1909514857746571474 2182302694567510256 2217501125125050744 2455090531388449038 2805817750158227472 2864272286619857211 3273454041851265384 3819029715493142948 4435002250250101488 4910181062776898076 5728544573239714422 6546908083702530768 7638059430986285896 8592816859859571633 9820362125553796152 11457089146479428844 15276118861972571792 17185633719719143266 19640724251107592304 22914178292958857688 34371267439438286532 45828356585917715376 68742534878876573064 137485069757753146128
- Sum of all divisors σ(n): 462056873249229463296
- Sum of proper divisors (its aliquot sum) s(n): 324571803491476317168
- 137485069757753146128 is an abundant number, because the sum of its proper divisors (324571803491476317168) is greater than itself. Its abundance is 187086733733723171040
Bases of 137485069757753146128
- Binary: 11101110011111111010001011010000100011111101010110100111011000100002
- Hexadecimal: 0x773FD16847EAD3B10
- Base-36: T0JP1R03ENJ80
Squares and roots of 137485069757753146128
- 137485069757753146128 squared (1374850697577531461282) is 18902144406294248734940156130882121392384
- 137485069757753146128 cubed (1374850697577531461283) is 2598762642270488214061653741138188758477745539481787978289152
-
The
square root of 137485069757753146128 is 11725402754.6073293135 -
The
cube root of 137485069757753146128 is 5161213.7560689749
Scales and comparisons
How big is 137485069757753146128?- 137,485,069,757,753,146,128 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 137,485,069,757,753,146,128 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137485069757753146128 cubic inches would be around 430101.1 feet tall.
Recreational maths with 137485069757753146128
- 137485069757753146128 backwards is 821641357757960584731
- The number of decimal digits it has is: 21
- The sum of 137485069757753146128's digits is 99
- More coming soon!
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The information we have on file for 137485069757753146128 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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