101138842241376000

Names of 101138842241376000

• Cardinal: 101138842241376000 can be written as One hundred one quadrillion, one hundred thirty-eight trillion, eight hundred forty-two billion, two hundred forty-one million, three hundred seventy-six thousand.

Scientific notation

• Scientific notation: 1.01138842241376 × 10¹⁷

Factors of 101138842241376000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 51172

Divisors of 101138842241376000

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 409 480 500 600 640 750 768 800 818 960 1000 1200 1227 1280 1500 1600 1636 1920 2000 2045 2400 2454 3000 3200 3272 3840 4000 4090 4800 4908 6000 6135 6400 6544 8000 8180 9600 9816 10225 12000 12270 13088 16000 16360 19200 19632 20450 24000 24540 26176 30675 32000 32720 39264 40900 48000 49080 50753 51125 52352 61350 65440 78528 81800 96000 98160 101506 102250 104704 122700 130880 152259 153375 157056 163600 196320 203012 204500 245400 253765 261760 304518 306750 314112 327200 392640 406024 409000 490800 507530 523520 609036 613500 654400 761295 785280 812048 818000 981600 1015060 1218072 1227000 1268825 1308800 1522590 1570560 1624096 1636000 1963200 2030120 2436144 2454000 2537650 2617600 3045180 3248192 3272000 3806475 3926400 4060240 4872288 4908000 5075300 6090360 6344125 6496384 6544000 7612950 7852800 8120480 9744576 9816000 10150600 12180720 12688250 12992768 13088000 15225900 16240960 19032375 19489152 19632000 20301200 20757977 24361440 25376500 30451800 32481920 38064750 38978304 39264000 40602400 41515954 48722880 50753000 60903600 62273931 64963840 76129500 81204800 83031908 97445760 101506000 103789885 121807200 124547862 152259000 162409600 166063816 194891520 203012000 207579770 243614400 249095724 304518000 311369655 324819200 332127632 406024000 415159540 487228800 498191448 518949425 609036000 622739310 664255264 812048000 830319080 974457600 996382896 1037898850 1218072000 1245478620 1328510528 1556848275 1624096000 1660638160 1992765792 2075797700 2436144000 2490957240 2575867009 2594747125 2657021056 3113696550 3321276320 3985531584 4151595400 4872288000 4981914480 5151734018 5189494250 5314042112 6227393100 6642552640 7727601027 7784241375 7971063168 8303190800 9963828960 10303468036 10378988500 12454786200 12879335045 13285105280 15455202054 15568482750 15942126336 16606381600 19927657920 20606936072 20757977000 24909572400 25758670090 26570210560 30910404108 31136965500 33212763200 38638005135 39855315840 41213872144 41515954000 49819144800 51517340180 61820808216 62273931000 64396675225 66425526400 77276010270 79710631680 82427744288 83031908000 99638289600 103034680360 123641616432 124547862000 128793350450 132851052800 154552020540 164855488576 166063816000 193190025675 199276579200 206069360720 247283232864 249095724000 257586700900 309104041080 321983376125 329710977152 332127632000 386380051350 398553158400 412138721440 494566465728 498191448000 515173401800 618208082160 643966752250 659421954304 664255264000 772760102700 824277442880 965950128375 989132931456 996382896000 1030346803600 1053529606681 1236416164320 1287933504500 1545520205400 1648554885760 1931900256750 1978265862912 1992765792000 2060693607200 2107059213362 2472832328640 2575867009000 3091040410800 3160588820043 3297109771520 3863800513500 4121387214400 4214118426724 4945664657280 5151734018000 5267648033405 6182080821600 6321177640086 7727601027000 8242774428800 8428236853448 9891329314560 10303468036000 10535296066810 12364161643200 12642355280172 15455202054000 15802944100215 16485548857600 16856473706896 20606936072000 21070592133620 24728323286400 25284710560344 26338240167025 30910404108000 31605888200430 33712947413792 41213872144000 42141184267240 49456646572800 50569421120688 52676480334050 61820808216000 63211776400860 67425894827584 79014720501075 82427744288000 84282368534480 101138842241376 105352960668100 123641616432000 126423552801720 131691200835125 134851789655168 158029441002150 168564737068960 202277684482752 210705921336200 247283232864000 252847105603440 263382401670250 269703579310336 316058882004300 337129474137920 395073602505375 404555368965504 421411842672400 505694211206880 526764803340500 632117764008600 674258948275840 790147205010750 809110737931008 842823685344800 1011388422413760 1053529606681000 1264235528017200 1348517896551680 1580294410021500 1685647370689600 2022776844827520 2107059213362000 2528471056034400 3160588820043000 3371294741379200 4045553689655040 4214118426724000 5056942112068800 6321177640086000 6742589482758400 8428236853448000 10113884224137600 12642355280172000 16856473706896000 20227768448275200 25284710560344000 33712947413792000 50569421120688000 101138842241376000
• Sum of all divisors σ(n): 336760651048305120
• Sum of proper divisors (its aliquot sum) s(n): 235621808806929120
• 101138842241376000 is an abundant number, because the sum of its proper divisors (235621808806929120) is greater than itself. Its abundance is 134482966565553120

Bases of 101138842241376000

• Binary: 101100111010100010011110110111100110010101001111100000000₂
• Hexadecimal: 0x167513DBCCA9F00
• Base-36: RNUQ6PAZQIO

Squares and roots of 101138842241376000

• 101138842241376000 squared (101138842241376000²) is 10229065409925942311446373376000000
• 101138842241376000 cubed (101138842241376000³) is 1034555832771216003524773799715950412005376000000000
• The square root of 101138842241376000 is 318023336.0012689385
• The cube root of 101138842241376000 is 465914.2489917899

Scales and comparisons

• 101,138,842,241,376,000 seconds is equal to 3,215,902,340 years, 15 weeks, 2 days, 18 hours, 40 minutes.
• To count from 1 to 101,138,842,241,376,000 would take you about nine billion, six hundred forty-seven million, seven hundred seven thousand and twenty 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 101138842241376000 cubic inches would be around 38826.2 feet tall.

Recreational maths with 101138842241376000

• 101138842241376000 backwards is 000673142248831101
• The number of decimal digits it has is: 18
• The sum of 101138842241376000's digits is 51
• More coming soon!