113825955436974374400

Names of 113825955436974374400

• Cardinal: 113825955436974374400 can be written as One hundred thirteen quintillion, eight hundred twenty-five quadrillion, nine hundred fifty-five trillion, four hundred thirty-six billion, nine hundred seventy-four million, three hundred seventy-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.138259554369743744 × 10²⁰

Factors of 113825955436974374400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 329357509944959

Divisors of 113825955436974374400

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 128 135 144 150 160 180 192 200 216 225 240 256 270 288 300 320 360 384 400 432 450 480 512 540 576 600 640 675 720 768 800 864 900 960 1080 1152 1200 1280 1350 1440 1536 1600 1728 1800 1920 2160 2304 2400 2560 2700 2880 3200 3456 3600 3840 4320 4608 4800 5400 5760 6400 6912 7200 7680 8640 9600 10800 11520 12800 13824 14400 17280 19200 21600 23040 28800 34560 38400 43200 57600 69120 86400 115200 172800 345600 329357509944949 658715019889898 988072529834847 1317430039779796 1646787549724745 1976145059669694 2634860079559592 2964217589504541 3293575099449490 3952290119339388 4940362649174235 5269720159119184 5928435179009082 6587150198898980 7904580238678776 8233937748623725 8892652768513623 9880725298348470 10539440318238368 11856870358018164 13174300397797960 14821087947522705 15809160477357552 16467875497247450 17785305537027246 19761450596696940 21078880636476736 23713740716036328 24701813245871175 26348600795595920 29642175895045410 31618320954715104 32935750994494900 35570611074054492 39522901193393880 42157761272953472 44463263842568115 47427481432072656 49403626491742350 52697201591191840 59284351790090820 63236641909430208 65871501988989800 71141222148108984 74105439737613525 79045802386787760 84315522545906944 88926527685136230 94854962864145312 98807252983484700 105394403182383680 118568703580181640 126473283818860416 131743003977979600 142282444296217968 148210879475227050 158091604773575520 168631045091813888 177853055370272460 189709925728290624 197614505966969400 210788806364767360 222316319212840575 237137407160363280 252946567637720832 263486007955959200 284564888592435936 296421758950454100 316183209547151040 355706110740544920 379419851456581248 395229011933938800 421577612729534720 444632638425681150 474274814320726560 505893135275441664 526972015911918400 569129777184871872 592843517900908200 632366419094302080 711412221481089840 758839702913162496 790458023867877600 843155225459069440 889265276851362300 948549628641453120 1053944031823836800 1138259554369743744 1185687035801816400 1264732838188604160 1422824442962179680 1517679405826324992 1580916047735755200 1778530553702724600 1897099257282906240 2107888063647673600 2276519108739487488 2371374071603632800 2529465676377208320 2845648885924359360 3161832095471510400 3557061107405449200 3794198514565812480 4215776127295347200 4553038217478974976 4742748143207265600 5691297771848718720 6323664190943020800 7114122214810898400 7588397029131624960 9485496286414531200 11382595543697437440 12647328381886041600 14228244429621796800 18970992572829062400 22765191087394874880 28456488859243593600 37941985145658124800 56912977718487187200 113825955436974374400
• Sum of all divisors σ(n): 417796588515367974000
• Sum of proper divisors (its aliquot sum) s(n): 303970633078393599600
• 113825955436974374400 is an abundant number, because the sum of its proper divisors (303970633078393599600) is greater than itself. Its abundance is 190144677641419225200

Bases of 113825955436974374400

• Binary: 1100010101110100111000001110110010011101000010011001111111000000000₂
• Hexadecimal: 0x62BA70764E84CFE00
• Base-36: O0SNXOBA8I2O0

Squares and roots of 113825955436974374400

• 113825955436974374400 squared (113825955436974374400²) is 12956348131140076144161707882271375360000
• 113825955436974374400 cubed (113825955436974374400³) is 1474768705001076524995468005993993383806551898963574784000000
• The square root of 113825955436974374400 is 10668924755.4275296989
• The cube root of 113825955436974374400 is 4846338.7600238757

Scales and comparisons

• 113,825,955,436,974,374,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 113,825,955,436,974,374,400 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 113825955436974374400 cubic inches would be around 403861.6 feet tall.

Recreational maths with 113825955436974374400

• 113825955436974374400 backwards is 004473479634559528311
• 113825955436974374400 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 113825955436974374400's digits is 90
• More coming soon!