138433481680304880

Names of 138433481680304880

• Cardinal: 138433481680304880 can be written as One hundred thirty-eight quadrillion, four hundred thirty-three trillion, four hundred eighty-one billion, six hundred eighty million, three hundred four thousand, eight hundred eighty.

Scientific notation

• Scientific notation: 1.3843348168030488 × 10¹⁷

Factors of 138433481680304880

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1030343

Divisors of 138433481680304880

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 151 162 180 216 240 270 302 324 360 405 432 453 540 604 648 720 755 810 906 1080 1208 1296 1359 1510 1620 1812 2160 2265 2416 2718 3020 3240 3624 4077 4530 5436 6040 6480 6795 7248 8154 9060 10872 12080 12231 13590 16308 18120 20385 21744 24462 27180 32616 36240 40770 48924 54360 61155 65232 81540 97848 108720 122310 163080 163181 195696 244620 326160 326362 489240 489543 652724 815905 867001 978480 979086 1305448 1468629 1631810 1734002 1958172 2447715 2601003 2610896 2937258 3263620 3468004 3916344 4335005 4405887 4895430 5202006 5874516 6527240 6936008 7343145 7803009 7832688 8670010 8811774 9790860 10404012 11749032 13005015 13054480 13217661 13872016 14686290 15606018 17340020 17623548 19581720 20808024 22029435 23409027 23498064 24640331 26010030 26435322 29372580 31212036 34680040 35247096 39015045 39163440 41616048 44058870 46818054 49280662 52020060 52870644 58745160 62424072 66088305 69360080 70227081 70494192 73920993 78030090 88117740 93636108 98561324 104040120 105741288 117045135 117490320 123201655 124848144 130917151 132176610 140454162 147841986 156060180 176235480 187272216 197122648 208080240 211482576 221762979 234090270 246403310 261834302 264353220 280908324 295683972 312120360 351135405 352470960 369604965 374544432 392751453 394245296 443525958 468180540 492806620 523668604 528706440 561816648 591367944 624240720 654585755 665288937 702270810 739209930 785502906 887051916 936361080 985613240 1047337208 1057412880 1108814895 1123633296 1178254359 1182735888 1309171510 1330577874 1404541620 1478419860 1571005812 1774103832 1872722160 1963757265 1971226480 1995866811 2094674416 2217629790 2356508718 2618343020 2661155748 2809083240 2956839720 3142011624 3326444685 3534763077 3548207664 3927514530 3991733622 4435259580 4713017436 5236686040 5322311496 5618166480 5891271795 5913679440 6284023248 6652889370 7069526154 7855029060 7983467244 8870519160 9426034872 9979334055 10473372080 10604289231 10644622992 11782543590 13305778740 14139052308 15710058120 15966934488 17673815385 17741038320 18852069744 19958668110 21208578462 23565087180 26611557480 28278104616 31420116240 31933868976 35347630770 39917336220 42417156924 47130174360 53021446155 53223114960 56556209232 70695261540 79834672440 84834313848 94260348720 106042892310 141390523080 141478090181 159669344880 169668627696 212085784620 282781046160 282956180362 424171569240 424434270543 565912360724 707390450905 848343138480 848868541086 1131824721448 1273302811629 1414780901810 1697737082172 2122171352715 2263649442896 2546605623258 2829561803620 3395474164344 3819908434887 4244342705430 5093211246516 5659123607240 6366514058145 6790948328688 7639816869774 8488685410860 10186422493032 11318247214480 11459725304661 12733028116290 15279633739548 16977370821720 19099542174435 20372844986064 21363191617331 22919450609322 25466056232580 30559267479096 33954741643440 38199084348870 42726383234662 45838901218644 50932112465160 57298626523305 61118534958192 64089574851993 76398168697740 85452766469324 91677802437288 101864224930320 106815958086655 114597253046610 128179149703986 152796337395480 170905532938648 183355604874576 192268724555979 213631916173310 229194506093220 256358299407972 305592674790960 320447874259965 341811065877296 384537449111958 427263832346620 458389012186440 512716598815944 576806173667937 640895748519930 769074898223916 854527664693240 916778024372880 961343622779895 1025433197631888 1153612347335874 1281791497039860 1538149796447832 1709055329386480 1730418521003811 1922687245559790 2307224694671748 2563582994079720 2884030868339685 3076299592895664 3460837042007622 3845374491119580 4614449389343496 5127165988159440 5768061736679370 6921674084015244 7690748982239160 8652092605019055 9228898778686992 11536123473358740 13843348168030488 15381497964478320 17304185210038110 23072246946717480 27686696336060976 34608370420076220 46144493893434960 69216740840152440 138433481680304880
• Sum of all divisors σ(n): 483987620602651968
• Sum of proper divisors (its aliquot sum) s(n): 345554138922347088
• 138433481680304880 is an abundant number, because the sum of its proper divisors (345554138922347088) is greater than itself. Its abundance is 207120657242042208

Bases of 138433481680304880

• Binary: 111101011110100001000010010100100100100110011101011110000₂
• Hexadecimal: 0x1EBD084A4933AF0
• Base-36: 11V2KNJDVJ00

Squares and roots of 138433481680304880

• 138433481680304880 squared (138433481680304880²) is 19163828850131306822189289751814400
• 138433481680304880 cubed (138433481680304880³) is 2652915550049150396703828093173959559819725174272000
• The square root of 138433481680304880 is 372066501.6906317515
• The cube root of 138433481680304880 is 517305.4421137699

Scales and comparisons

• 138,433,481,680,304,880 seconds is equal to 4,401,756,514 years, 29 weeks, 19 hours, 48 minutes.
• To count from 1 to 138,433,481,680,304,880 would take you about thirteen billion, two hundred five million, two hundred sixty-nine thousand, five hundred forty-three 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 138433481680304880 cubic inches would be around 43108.8 feet tall.

Recreational maths with 138433481680304880

• 138433481680304880 backwards is 088403086184334831
• 138433481680304880 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138433481680304880's digits is 72
• More coming soon!