138922337833352640
138,922,337,833,352,640 is an even composite number composed of seven prime numbers multiplied together.
138922337833352640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138922337833352640:
26 × 32 × 5 × 7 × 241 × 388903 × 73523
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 241 × 388903 × 73523)See below for interesting mathematical facts about the number 138922337833352640 from the Numbermatics database.
Names of 138922337833352640
- Cardinal: 138922337833352640 can be written as One hundred thirty-eight quadrillion, nine hundred twenty-two trillion, three hundred thirty-seven billion, eight hundred thirty-three million, three hundred fifty-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3892233783335264 × 1017
Factors of 138922337833352640
Divisors of 138922337833352640
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 192 210 224 240 241 252 280 288 315 320 336 360 420 448 480 482 504 560 576 630 672 720 723 840 960 964 1008 1120 1205 1260 1344 1440 1446 1680 1687 1928 2016 2169 2240 2410 2520 2880 2892 3360 3374 3615 3856 4032 4338 4820 5040 5061 5784 6720 6748 7230 7712 8435 8676 9640 10080 10122 10845 11568 13496 14460 15183 15424 16870 17352 19280 20160 20244 21690 23136 25305 26992 28920 30366 33740 34704 38560 40488 43380 46272 50610 53984 57840 60732 67480 69408 73523 75915 77120 80976 86760 101220 107968 115680 121464 134960 138816 147046 151830 161952 173520 202440 220569 231360 242928 269920 294092 303660 323904 347040 367615 388903 404880 441138 485856 514661 539840 588184 607320 661707 694080 735230 777806 809760 882276 971712 1029322 1102845 1166709 1176368 1214640 1323414 1470460 1543983 1555612 1619520 1764552 1944515 2058644 2205690 2333418 2352736 2429280 2573305 2646828 2722321 2940920 3087966 3111224 3308535 3500127 3529104 3889030 4117288 4411380 4631949 4666836 4705472 4858560 5146610 5293656 5444642 5833545 5881840 6175932 6222448 6617070 7000254 7058208 7719915 7778060 8166963 8234576 8822760 9263898 9333672 10293220 10587312 10889284 11667090 11763680 12351864 12444896 13234140 13611605 14000508 14116416 15439830 15556120 16333926 16469152 17500635 17645520 17719043 18527796 18667344 20586440 21174624 21778568 23159745 23334180 23527360 24500889 24703728 24889792 26468280 27223210 28001016 30879660 31112240 32667852 32938304 35001270 35291040 35438086 37055592 37334688 40834815 41172880 42349248 43557136 46319490 46668360 49001778 49407456 52936560 53157129 54446420 56002032 61759320 62224480 65335704 70002540 70582080 70876172 74111184 74669376 81669630 82345760 87114272 88595215 92638980 93336720 93725623 98003556 98814912 105873120 106314258 108892840 112004064 122504445 123518640 124033301 124448960 130671408 140005080 141752344 148222368 159471387 163339260 164691520 174228544 177190430 185277960 186673440 187451246 196007112 211746240 212628516 217785680 224008128 245008890 247037280 248066602 261342816 265785645 280010160 281176869 283504688 296444736 318942774 326678520 354380860 370555920 372099903 373346880 374902492 392014224 425257032 435571360 468628115 490017780 494074560 496133204 522685632 531571290 560020320 562353738 567009376 620166505 637885548 653357040 656079361 708761720 741111840 744199806 749804984 784028448 797356935 843530607 850514064 871142720 937256230 980035560 992266408 1063142580 1116299709 1120040640 1124707476 1134018752 1240333010 1275771096 1306714080 1312158722 1405884345 1417523440 1482223680 1488399612 1499609968 1568056896 1594713870 1687061214 1701028128 1860499515 1874512460 1960071120 1968238083 1984532816 2126285160 2232599418 2249414952 2480666020 2551542192 2613428160 2624317444 2811768690 2835046880 2976799224 2999219936 3189427740 3280396805 3374122428 3402056256 3720999030 3749024920 3920142240 3936476166 3969065632 4217653035 4252570320 4465198836 4498829904 4961332040 5103084384 5248634888 5581498545 5623537380 5670093760 5904714249 5953598448 5998439872 6378855480 6560793610 6748244856 7441998060 7498049840 7840284480 7872952332 7938131264 8435306070 8505140640 8930397672 8997659808 9841190415 9922664080 10206168768 10497269776 11162997090 11247074760 11809428498 11907196896 12757710960 13121587220 13496489712 14883996120 14996099680 15745904664 16870612140 17010281280 17860795344 17995319616 19682380830 19845328160 20994539552 22325994180 22494149520 23618856996 23814393792 25515421920 26243174440 26992979424 28593315269 29523571245 29767992240 29992199360 31491809328 33741224280 35721590688 39364761660 39690656320 41989079104 44651988360 44988299040 47237713992 51030843840 52486348880 53985958848 57186630538 59047142490 59535984480 62983618656 67482448560 71443181376 78729523320 85779945807 89303976720 89976598080 94475427984 104972697760 114373261076 118094284980 119071968960 125967237312 134964897120 142966576345 157459046640 171559891614 178607953440 188950855968 200153206883 209945395520 228746522152 236188569960 257339837421 269929794240 285933152690 314918093280 343119783228 357215906880 377901711936 400306413766 428899729035 457493044304 472377139920 514679674842 571866305380 600459620649 629836186560 686239566456 800612827532 857799458070 914986088608 944754279840 1000766034415 1029359349684 1143732610760 1200919241298 1286699187105 1372479132912 1601225655064 1715598916140 1801378861947 1829972177216 1889508559680 2001532068830 2058718699368 2287465221520 2401838482596 2573398374210 2744958265824 3002298103245 3202451310128 3431197832280 3602757723894 4003064137660 4117437398736 4574930443040 4803676965192 5146796748420 5489916531648 6004596206490 6404902620256 6862395664560 6890988979829 7205515447788 8006128275320 8234874797472 9006894309735 9149860886080 9607353930384 10293593496840 12009192412980 12809805240512 13724791329120 13781977959658 14411030895576 16012256550640 16469749594944 18013788619470 19214707860768 20587186993680 20672966939487 24018384825960 27449582658240 27563955919316 28822061791152 32024513101280 34454944899145 36027577238940 38429415721536 41174373987360 41345933878974 48036769651920 48236922858803 55127911838632 57644123582304 62018900818461 64049026202560 68909889798290 72055154477880 82348747974720 82691867757948 96073539303840 96473845717606 103364834697435 110255823677264 115288247164608 124037801636922 137819779596580 144110308955760 144710768576409 165383735515896 192147078607680 192947691435212 206729669394870 220511647354528 241184614294015 248075603273844 275639559193160 288220617911520 289421537152818 310094504092305 330767471031792 385895382870424 413459338789740 434132305729227 441023294709056 482369228588030 496151206547688 551279118386320 576441235823040 578843074305636 620189008184610 661534942063584 723553842882045 771790765740848 826918677579480 868264611458454 964738457176060 992302413095376 1102558236772640 1157686148611272 1240378016369220 1323069884127168 1447107685764090 1543581531481696 1653837355158960 1736529222916908 1929476914352120 1984604826190752 2170661528646135 2205116473545280 2315372297222544 2480756032738440 2894215371528180 3087163062963392 3307674710317920 3473058445833816 3858953828704240 3969209652381504 4341323057292270 4630744594445088 4961512065476880 5788430743056360 6615349420635840 6946116891667632 7717907657408480 8682646114584540 9261489188890176 9923024130953760 11576861486112720 13892233783335264 15435815314816960 17365292229169080 19846048261907520 23153722972225440 27784467566670528 34730584458338160 46307445944450880 69461168916676320 138922337833352640
- Sum of all divisors σ(n): 548371926154331136
- Sum of proper divisors (its aliquot sum) s(n): 409449588320978496
- 138922337833352640 is an abundant number, because the sum of its proper divisors (409449588320978496) is greater than itself. Its abundance is 270527250487625856
Bases of 138922337833352640
- Binary: 1111011011000110100100001010101011110110001111101110000002
- Hexadecimal: 0x1ED8D2155EC7DC0
- Base-36: 11ZVUWYDIB40
Squares and roots of 138922337833352640
- 138922337833352640 squared (1389223378333526402) is 19299415949084162282315982594969600
- 138922337833352640 cubed (1389223378333526403) is 2681119982465064065573982294700950685667166879744000
-
The
square root of 138922337833352640 is 372722870.0165213097 -
The
cube root of 138922337833352640 is 517913.6544476887
Scales and comparisons
How big is 138922337833352640?- 138,922,337,833,352,640 seconds is equal to 4,417,300,628 years, 4 weeks, 6 days, 18 hours, 24 minutes.
-
To count from 1 to 138,922,337,833,352,640 would take you about thirteen billion, two hundred fifty-one million, nine hundred one thousand, eight hundred eighty-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 138922337833352640 cubic inches would be around 43159.5 feet tall.
Recreational maths with 138922337833352640
- 138922337833352640 backwards is 046253338733229831
- 138922337833352640 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138922337833352640's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138922337833352640 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 138922337833352640 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138922337833352640/
Chicago style:
Numbermatics. 2024. "Number 138922337833352640 - Facts about the integer". https://numbermatics.com/n/138922337833352640/
The information we have on file for 138922337833352640 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 138922337833352640, math, Factors of 138922337833352640, curriculum, school, college, exams, university, Prime factorization of 138922337833352640, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred twenty-two trillion, three hundred thirty-seven billion, eight hundred thirty-three million, three hundred fifty-two thousand, six hundred forty.