138909130327517497600

Names of 138909130327517497600

• Cardinal: 138909130327517497600 can be written as One hundred thirty-eight quintillion, nine hundred nine quadrillion, one hundred thirty trillion, three hundred twenty-seven billion, five hundred seventeen million, four hundred ninety-seven thousand, six hundred.

Scientific notation

• Scientific notation: 1.389091303275174976 × 10²⁰

Factors of 138909130327517497600

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 524575

Divisors of 138909130327517497600

• Number of divisors d(n): 243
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 281 320 400 562 640 800 1124 1280 1405 1600 2248 2810 3200 4496 5620 6400 7025 8992 11240 14050 17984 22480 28100 35968 44960 56200 71936 78961 89920 112400 157922 179840 224800 315844 359680 394805 449600 524287 631688 789610 899200 1048574 1263376 1579220 1798400 1974025 2097148 2526752 2621435 3158440 3948050 4194296 5053504 5242870 6316880 7896100 8388592 10107008 10485740 12633760 13107175 15792200 16777184 20214016 20971480 25267520 26214350 31584400 33554368 41942960 50535040 52428700 63168800 67108736 83885920 101070080 104857400 126337600 134217472 147324647 167771840 209714800 252675200 294649294 335543680 419429600 505350400 589298588 671087360 736623235 838859200 1178597176 1473246470 1677718400 2357194352 2946492940 3355436800 3683116175 4714388704 5892985880 7366232350 9428777408 11785971760 14732464700 18857554816 23571943520 29464929400 37715109632 41398225807 47143887040 58929858800 82796451614 94287774080 117859717600 165592903228 188575548160 206991129035 235719435200 274876858369 331185806456 413982258070 471438870400 549753716738 662371612912 827964516140 942877740800 1034955645175 1099507433476 1324743225824 1374384291845 1655929032280 2069911290350 2199014866952 2649486451648 2748768583690 3311858064560 4139822580700 4398029733904 5298972903296 5497537167380 6623716129120 6871921459225 8279645161400 8796059467808 10597945806592 10995074334760 13247432258240 13743842918450 16559290322800 17592118935616 21990148669520 26494864516480 27487685836900 33118580645600 35184237871232 43980297339040 52989729032960 54975371673800 66237161291200 70368475742464 77240397201689 87960594678080 109950743347600 132474322582400 154480794403378 175921189356160 219901486695200 264948645164800 308961588806756 351842378712320 386201986008445 439802973390400 617923177613512 772403972016890 879605946780800 1235846355227024 1544807944033780 1759211893561600 1931009930042225 2471692710454048 3089615888067560 3862019860084450 4943385420908096 6179231776135120 7724039720168900 9886770841816192 12358463552270240 15448079440337800 19773541683632384 21704551613674609 24716927104540480 30896158880675600 43409103227349218 49433854209080960 61792317761351200 86818206454698436 98867708418161920 108522758068373045 123584635522702400 173636412909396872 217045516136746090 247169271045404800 347272825818793744 434091032273492180 494338542090809600 542613790341865225 694545651637587488 868182064546984360 1085227580683730450 1389091303275174976 1736364129093968720 2170455161367460900 2778182606550349952 3472728258187937440 4340910322734921800 5556365213100699904 6945456516375874880 8681820645469843600 13890913032751749760 17363641290939687200 27781826065503499520 34727282581879374400 69454565163758748800 138909130327517497600
• Sum of all divisors σ(n): 345050379701230120491
• Sum of proper divisors (its aliquot sum) s(n): 206141249373712622891
• 138909130327517497600 is an abundant number, because the sum of its proper divisors (206141249373712622891) is greater than itself. Its abundance is 67232119046195125291

Bases of 138909130327517497600

• Binary: 1111000011111000000010111100000111110001110000111110000100100000000₂
• Hexadecimal: 0x787C05E0F8E1F0900
• Base-36: TBD6X3AG60W74

Squares and roots of 138909130327517497600

• 138909130327517497600 squared (138909130327517497600²) is 19295746488347241410053887234166005760000
• 138909130327517497600 cubed (138909130327517497600³) is 2680355363716565046358034795300050763783224229502386176000000
• 138909130327517497600 is a perfect square number. Its square root is 11785971760
• The cube root of 138909130327517497600 is 5178972.4104601265

Scales and comparisons

• 138,909,130,327,517,497,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,909,130,327,517,497,600 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 138909130327517497600 cubic inches would be around 431581 feet tall.

Recreational maths with 138909130327517497600

• 138909130327517497600 backwards is 006794715723031909831
• The number of decimal digits it has is: 21
• The sum of 138909130327517497600's digits is 85
• More coming soon!