348542381142896950009

Names of 348542381142896950009

• Cardinal: 348542381142896950009 can be written as Three hundred forty-eight quintillion, five hundred forty-two quadrillion, three hundred eighty-one trillion, one hundred forty-two billion, eight hundred ninety-six million, nine hundred fifty thousand and nine.

Scientific notation

• Scientific notation: 3.48542381142896950009 × 10²⁰

Factors of 348542381142896950009

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 222234052

Divisors of 348542381142896950009

• Number of divisors d(n): 256
• Complete list of divisors:
  1 7 11 13 31 77 79 91 143 217 341 403 491 553 869 1001 1027 1303 2387 2449 2821 3437 4433 5401 6083 6383 7189 9121 11297 14333 15221 16939 17143 26939 31031 31837 37807 38789 40393 44681 70213 79079 100331 102937 106547 118573 167431 186329 188573 197873 222859 271523 282751 350207 426679 444323 491491 504257 525109 639773 720559 1132307 1172017 1202459 1304303 1338181 1385111 2176603 2451449 2986753 3110261 3191047 3529799 3675763 4478411 5546827 5776199 7037503 7926149 8317049 8417213 9367267 13227049 14719991 15236221 15631967 19832963 22337329 35101517 38827789 40433393 41483611 49262521 50542067 58219343 91487539 92589343 103039937 109423769 138830741 171951637 218162593 222232117 245710619 257828519 290385277 353794469 456319721 555962737 640412773 657046871 1203661459 1527138151 1555624819 1566804077 1804799633 2444553287 2836113709 2889017521 3194238047 3891739159 4599328097 6889195627 7227515581 10967628539 17111873009 17234844847 17556337243 19852795963 20223122647 20368453001 31779192731 48224369389 50592609067 75781151897 89559543151 109115969447 120643913929 122894360701 142579171007 193119709673 222454349117 224052983011 228232384159 289568448451 530468063279 544246454533 626916802057 763811786129 985154974661 1200275663917 1351837967711 1418507602811 1568370881077 1597626689113 2026979139157 2510556225749 3185252932961 3382595052857 3764389829863 3809725181731 5986710999863 6896084822627 7075203908929 8401929647419 8620161586313 8976621901981 9929553219677 15603583630921 17573893580243 22296770530727 22875907427629 23678165369999 26350728809041 37208545581427 41408288128493 41906976999041 43973735687141 49526427362503 60341131104191 62836353313867 77827242998219 94821777449443 98742840921791 109225085416447 112062100622069 116696084725753 142178108189441 160131351993403 251634981703919 260459819069989 267225009175703 289858016899451 297386796559177 307816149809987 483711092558551 544790700987533 663752442146101 691199886452537 709153130256499 784434704354483 816872593080271 995246757326087 1232683106842759 1283656931983283 1563959190083851 1761444871927433 1848315406462733 1870575064229921 2081707575914239 2939475100932733 3271254762150947 3385977647909857 3473925119284139 4407521353872671 4964071911795493 7800684432821489 8628781747899313 8985598523882981 9218990693334487 10947714330586957 11232070546965839 12938207845239131 20331469471090063 20576325706529131 22898783335056629 24317475834988973 30852649477108697 38213176312125529 48482734892599381 54604791029750423 57297777600344723 64532934853341409 78624493828760873 101408897626679357 123552776016624229 142320286297630441 146016917110555907 267492234184878703 339379144248195667 348194186955941009 401084443202413061 630275553603791953 709862283386755499 864869432116369603 1022118419773891349 1606186088216114977 2437359308691587063 3830136056515351099 4411928875226543671 4526524430427233117 11243302617512804839 26810952395607457693 31685671012990631819 49791768734699564287 348542381142896950009
• Sum of all divisors σ(n): 490556182544630415360
• Sum of proper divisors (its aliquot sum) s(n): 142013801401733465351
• 348542381142896950009 is a deficient number, because the sum of its proper divisors (142013801401733465351) is less than itself. Its deficiency is 206528579741163484658

Bases of 348542381142896950009

• Binary: 100101110010011111111010010001111111000100111001011100011101011111001₂
• Hexadecimal: 0x12E4FF48FE272E3AF9
• Base-36: 21K27UJ4HR0I61

Squares and roots of 348542381142896950009

• 348542381142896950009 squared (348542381142896950009²) is 121481791452760447407969201179874645100081
• 348542381142896950009 cubed (348542381142896950009³) is 42341552858449952842427736892210566653924426010613891458850729
• The square root of 348542381142896950009 is 18669289786.7834530543
• The cube root of 348542381142896950009 is 7037502.0000000011

Scales and comparisons

• 348,542,381,142,896,950,009 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 348,542,381,142,896,950,009 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 348542381142896950009 cubic inches would be around 586458.5 feet tall.

Recreational maths with 348542381142896950009

• 348542381142896950009 backwards is 900059698241183245843
• 348542381142896950009 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 348542381142896950009's digits is 91
• More coming soon!