138354536090556122688
138,354,536,090,556,122,688 is an even composite number composed of six prime numbers multiplied together.
What does the number 138354536090556122688 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
138354536090556122688 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138354536090556122688:
26 × 33 × 13 × 61 × 9323 × 10829808889
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 61 × 9323 × 10829808889)See below for interesting mathematical facts about the number 138354536090556122688 from the Numbermatics database.
Names of 138354536090556122688
- Cardinal: 138354536090556122688 can be written as One hundred thirty-eight quintillion, three hundred fifty-four quadrillion, five hundred thirty-six trillion, ninety billion, five hundred fifty-six million, one hundred twenty-two thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38354536090556122688 × 1020
Factors of 138354536090556122688
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 10829818291
Divisors of 138354536090556122688
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 61 64 72 78 96 104 108 117 122 144 156 183 192 208 216 234 244 288 312 351 366 416 432 468 488 549 576 624 702 732 793 832 864 936 976 1098 1248 1404 1464 1586 1647 1728 1872 1952 2196 2379 2496 2808 2928 3172 3294 3744 3904 4392 4758 5616 5856 6344 6588 7137 7488 8784 9323 9516 11232 11712 12688 13176 14274 17568 18646 19032 21411 22464 25376 26352 27969 28548 35136 37292 38064 42822 50752 52704 55938 57096 74584 76128 83907 85644 105408 111876 114192 121199 149168 152256 167814 171288 223752 228384 242398 251721 298336 335628 342576 363597 447504 456768 484796 503442 568703 596672 671256 685152 727194 895008 969592 1006884 1090791 1137406 1342512 1370304 1454388 1706109 1790016 1939184 2013768 2181582 2274812 2685024 2908776 3272373 3412218 3878368 4027536 4363164 4549624 5118327 5370048 5817552 6544746 6824436 7393139 7756736 8055072 8726328 9099248 10236654 11635104 13089492 13648872 14786278 15354981 16110144 17452656 18198496 20473308 22179417 23270208 26178984 27297744 29572556 30709962 34905312 36396992 40946616 44358834 52357968 54595488 59145112 61419924 66538251 69810624 81893232 88717668 104715936 109190976 118290224 122839848 133076502 163786464 177435336 199614753 209431872 236580448 245679696 266153004 327572928 354870672 399229506 473160896 491359392 532306008 709741344 798459012 982718784 1064612016 1419482688 1596918024 2129224032 3193836048 4258448064 6387672096 10829808889 12775344192 21659617778 32489426667 43319235556 64978853334 86638471112 97468280001 129957706668 140787515557 173276942224 194936560002 259915413336 281575031114 292404840003 346553884448 389873120004 422362546671 519830826672 563150062228 584809680006 660618342229 693107768896 779746240008 844725093342 1039661653344 1126300124456 1169619360012 1267087640013 1321236684458 1559492480016 1689450186684 1981855026687 2079323306688 2252600248912 2339238720024 2534175280026 2642473368916 3118984960032 3378900373368 3801262920039 3963710053374 4505200497824 4678477440048 5068350560052 5284946737832 5945565080061 6237969920064 6757800746736 7602525840078 7927420106748 8588038448977 9010400995648 9356954880096 10136701120104 10569893475664 11891130160122 13515601493472 15205051680156 15854840213496 17176076897954 17836695240183 18713909760192 20273402240208 21139786951328 23782260320244 25764115346931 27031202986944 30410103360312 31709680426992 34352153795908 35673390480366 40546804480416 42279573902656 47564520640488 51528230693862 60820206720624 63419360853984 68704307591816 71346780960732 77292346040793 81093608960832 95129041280976 100966308272147 103056461387724 121640413441248 126838721707968 137408615183632 142693561921464 154584692081586 190258082561952 201932616544294 206112922775448 231877038122379 243280826882496 274817230367264 285387123842928 302898924816441 309169384163172 380516165123904 403865233088588 412225845550896 463754076244758 549634460734528 570774247685856 605797849632882 618338768326344 807730466177176 824451691101792 908696774449323 927508152489516 1141548495371712 1211595699265764 1236677536652688 1312562007537911 1615460932354352 1648903382203584 1817393548898646 1855016304979032 2423191398531528 2473355073305376 2625124015075822 2726090323347969 3230921864708704 3634787097797292 3710032609958064 3937686022613733 4846382797063056 4946710146610752 5250248030151644 5452180646695938 6158944804600967 6461843729417408 7269574195594584 7420065219916128 7875372045227466 9692765594126112 10500496060303288 10904361293391876 11813058067841199 12317889609201934 14539148391189168 14840130439832256 15750744090454932 18476834413802901 19385531188252224 21000992120606576 21808722586783752 23626116135682398 24635779218403868 29078296782378336 31501488180909864 35439174203523597 36953668827605802 42001984241213152 43617445173567504 47252232271364796 49271558436807736 55430503241408703 58156593564756672 63002976361819728 70878348407047194 73907337655211604 80066282459812571 84003968482426304 87234890347135008 94504464542729592 98543116873615472 110861006482817406 126005952723639456 141756696814094388 147814675310423208 160132564919625142 166291509724226109 174469780694270016 189008929085459184 197086233747230944 221722012965634812 240198847379437713 252011905447278912 283513393628188776 295629350620846416 320265129839250284 332583019448452218 378017858170918368 394172467494461888 443444025931269624 480397694758875426 567026787256377552 591258701241692832 640530259678500568 665166038896904436 720596542138313139 756035716341836736 886888051862539248 960795389517750852 1134053574512755104 1182517402483385664 1281060519357001136 1330332077793808872 1441193084276626278 1773776103725078496 1921590779035501704 2161789626414939417 2268107149025510208 2562121038714002272 2660664155587617744 2882386168553252556 3547552207450156992 3843181558071003408 4323579252829878834 5124242077428004544 5321328311175235488 5764772337106505112 7686363116142006816 8647158505659757668 10642656622350470976 11529544674213010224 15372726232284013632 17294317011319515336 23059089348426020448 34588634022639030672 46118178696852040896 69177268045278061344 138354536090556122688
- Sum of all divisors σ(n): 445252631781156998400
- Sum of proper divisors (its aliquot sum) s(n): 306898095690600875712
- 138354536090556122688 is an abundant number, because the sum of its proper divisors (306898095690600875712) is greater than itself. Its abundance is 168543559600044753024
Bases of 138354536090556122688
- Binary: 11110000000000011100000110110001010011001011000111101000110010000002
- Hexadecimal: 0x7800E0D8A658F4640
- Base-36: T75I5UB8632O0
Squares and roots of 138354536090556122688
- 138354536090556122688 squared (1383545360905561226882) is 19141977656832996681115036892284108345344
- 138354536090556122688 cubed (1383545360905561226883) is 2648379438566919762488334500836599883753122836257655937564672
-
The
square root of 138354536090556122688 is 11762420503.0493669515 -
The
cube root of 138354536090556122688 is 5172070.8741815271
Scales and comparisons
How big is 138354536090556122688?- 138,354,536,090,556,122,688 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,354,536,090,556,122,688 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 138354536090556122688 cubic inches would be around 431005.9 feet tall.
Recreational maths with 138354536090556122688
- 138354536090556122688 backwards is 886221655090635453831
- The number of decimal digits it has is: 21
- The sum of 138354536090556122688's digits is 90
- More coming soon!
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The information we have on file for 138354536090556122688 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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