138346934649435630468
138,346,934,649,435,630,468 is an even composite number composed of seven prime numbers multiplied together.
138346934649435630468 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138346934649435630468:
22 × 32 × 7 × 31 × 83 × 42157 × 5061270119
(2 × 2 × 3 × 3 × 7 × 31 × 83 × 42157 × 5061270119)See below for interesting mathematical facts about the number 138346934649435630468 from the Numbermatics database.
Names of 138346934649435630468
- Cardinal: 138346934649435630468 can be written as One hundred thirty-eight quintillion, three hundred forty-six quadrillion, nine hundred thirty-four trillion, six hundred forty-nine billion, four hundred thirty-five million, six hundred thirty thousand, four hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38346934649435630468 × 1020
Factors of 138346934649435630468
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 5061312402
Divisors of 138346934649435630468
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 83 84 93 124 126 166 186 217 249 252 279 332 372 434 498 558 581 651 747 868 996 1116 1162 1302 1494 1743 1953 2324 2573 2604 2988 3486 3906 5146 5229 6972 7719 7812 10292 10458 15438 18011 20916 23157 30876 36022 42157 46314 54033 72044 84314 92628 108066 126471 162099 168628 216132 252942 295099 324198 379413 505884 590198 648396 758826 885297 1180396 1306867 1517652 1770594 2613734 2655891 3499031 3541188 3920601 5227468 5311782 6998062 7841202 9148069 10497093 10623564 11761803 13996124 15682404 18296138 20994186 23523606 24493217 27444207 31491279 36592276 41988372 47047212 48986434 54888414 62982558 73479651 82332621 97972868 108469961 109776828 125965116 146959302 164665242 216939922 220438953 293918604 325409883 329330484 433879844 440877906 650819766 759289727 881755812 976229649 1301639532 1518579454 1952459298 2277869181 3037158908 3904918596 4555738362 5061270119 6833607543 9111476724 10122540238 13667215086 15183810357 20245080476 27334430172 30367620714 35428890833 45551431071 60735241428 70857781666 91102862142 106286672499 141715563332 156899373689 182205724284 212573344998 313798747378 318860017497 420085419877 425146689996 470698121067 627597494756 637720034994 840170839754 941396242134 1098295615823 1260256259631 1275440069988 1412094363201 1680341679508 1882792484268 2196591231646 2520512519262 2824188726402 2940597939139 3294886847469 3780768778893 4393182463292 5041025038524 5648377452804 5881195878278 6589773694938 7561537557786 8821793817417 9884660542407 11762391756556 13022648016187 13179547389876 15123075115572 17643587634834 19769321084814 26045296032374 26465381452251 35287175269668 39067944048561 39538642169628 52090592064748 52930762904502 78135888097122 91158536113309 105861525809004 117203832145683 156271776194244 182317072226618 213367964406683 234407664291366 273475608339927 364634144453236 426735928813366 468815328582732 546951216679854 640103893220049 820426825019781 853471857626732 1093902433359708 1280207786440098 1493575750846781 1640853650039562 1920311679660147 2560415572880196 2987151501693562 3281707300079124 3840623359320294 4480727252540343 5974303003387124 6614406896607173 7681246718640588 8961454505080686 13228813793214346 13442181757621029 17709541045754689 17922909010161372 19843220689821519 26457627586428692 26884363515242058 35419082091509378 39686441379643038 46300848276250211 53128623137264067 53768727030484116 59529662069464557 70838164183018756 79372882759286076 92601696552500422 106257246274528134 119059324138929114 123966787320282823 138902544828750633 159385869411792201 185203393105000844 212514492549056268 238118648277858228 247933574640565646 277805089657501266 318771738823584402 371900361960848469 416707634486251899 495867149281131292 548995772418395359 555610179315002532 637543477647168804 743800723921696938 833415268972503798 1097991544836790718 1115701085882545407 1487601447843393876 1646987317255186077 1666830537945007596 2195983089673581436 2231402171765090814 3293974634510372154 3842970406928767513 4462804343530181628 4940961951765558231 6587949269020744308 7685940813857535026 9881923903531116462 11528911220786302539 15371881627715070052 19763847807062232924 23057822441572605078 34586733662358907617 46115644883145210156 69173467324717815234 138346934649435630468
- Sum of all divisors σ(n): 417541992600506941440
- Sum of proper divisors (its aliquot sum) s(n): 279195057951071310972
- 138346934649435630468 is an abundant number, because the sum of its proper divisors (279195057951071310972) is greater than itself. Its abundance is 140848123301635680504
Bases of 138346934649435630468
- Binary: 11101111111111100110000110000010001111101111100101010101011100001002
- Hexadecimal: 0x77FF30C11F7CAAB84
- Base-36: T73FBCTDUC610
Squares and roots of 138346934649435630468
- 138346934649435630468 squared (1383469346494356304682) is 19139874326895213032976208345368649899024
- 138346934649435630468 cubed (1383469346494356304683) is 2647942942701382812954579124569040154467992227470615977863232
-
The
square root of 138346934649435630468 is 11762097374.5941939667 -
The
cube root of 138346934649435630468 is 5171976.1515619701
Scales and comparisons
How big is 138346934649435630468?- 138,346,934,649,435,630,468 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,346,934,649,435,630,468 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 138346934649435630468 cubic inches would be around 430998 feet tall.
Recreational maths with 138346934649435630468
- 138346934649435630468 backwards is 864036534946439643831
- The number of decimal digits it has is: 21
- The sum of 138346934649435630468's digits is 99
- More coming soon!
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