42139018215515396978928000
42,139,018,215,515,396,978,928,000 is an even composite number composed of five prime numbers multiplied together.
42139018215515396978928000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42139018215515396978928000:
27 × 32 × 53 × 659 × 444054735874171693
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 659 × 444054735874171693)See below for interesting mathematical facts about the number 42139018215515396978928000 from the Numbermatics database.
Names of 42139018215515396978928000
- Cardinal: 42139018215515396978928000 can be written as Forty-two septillion, one hundred thirty-nine sextillion, eighteen quintillion, two hundred fifteen quadrillion, five hundred fifteen trillion, three hundred ninety-six billion, nine hundred seventy-eight million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.2139018215515396978928 × 1025
Factors of 42139018215515396978928000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 444054735874172362
Divisors of 42139018215515396978928000
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 180 192 200 225 240 250 288 300 320 360 375 384 400 450 480 500 576 600 640 659 720 750 800 900 960 1000 1125 1152 1200 1318 1440 1500 1600 1800 1920 1977 2000 2250 2400 2636 2880 3000 3200 3295 3600 3954 4000 4500 4800 5272 5760 5931 6000 6590 7200 7908 8000 9000 9600 9885 10544 11862 12000 13180 14400 15816 16000 16475 18000 19770 21088 23724 24000 26360 28800 29655 31632 32950 36000 39540 42176 47448 48000 49425 52720 59310 63264 65900 72000 79080 82375 84352 94896 98850 105440 118620 126528 131800 144000 148275 158160 164750 189792 197700 210880 237240 247125 253056 263600 296550 316320 329500 379584 395400 421760 474480 494250 527200 593100 632640 659000 741375 759168 790800 948960 988500 1054400 1186200 1265280 1318000 1482750 1581600 1897920 1977000 2108800 2372400 2636000 2965500 3163200 3795840 3954000 4744800 5272000 5931000 6326400 7908000 9489600 10544000 11862000 15816000 18979200 23724000 31632000 47448000 94896000 444054735874171693 888109471748343386 1332164207622515079 1776218943496686772 2220273679370858465 2664328415245030158 3552437886993373544 3996492622867545237 4440547358741716930 5328656830490060316 6660821038112575395 7104875773986747088 7992985245735090474 8881094717483433860 10657313660980120632 11101368396854292325 13321642076225150790 14209751547973494176 15985970491470180948 17762189434966867720 19982463114337726185 21314627321960241264 22202736793708584650 26643284152450301580 28419503095946988352 31971940982940361896 33304105190562876975 35524378869933735440 39964926228675452370 42629254643920482528 44405473587417169300 53286568304900603160 55506841984271461625 56839006191893976704 63943881965880723792 66608210381125753950 71048757739867470880 79929852457350904740 85258509287840965056 88810947174834338600 99912315571688630925 106573136609801206320 111013683968542923250 127887763931761447584 133216420762251507900 142097515479734941760 159859704914701809480 166520525952814384875 170517018575681930112 177621894349668677200 199824631143377261850 213146273219602412640 222027367937085846500 255775527863522895168 266432841524503015800 284195030959469883520 292632070941079145687 319719409829403618960 333041051905628769750 355243788699337354400 399649262286754523700 426292546439204825280 444054735874171693000 499561577858443154625 511551055727045790336 532865683049006031600 585264141882158291374 639438819658807237920 666082103811257539500 710487577398674708800 799298524573509047400 852585092878409650560 877896212823237437061 888109471748343386000 999123155716886309250 1065731366098012063200 1170528283764316582748 1278877639317614475840 1332164207622515079000 1420975154797349417600 1463160354705395728435 1598597049147018094800 1755792425646474874122 1776218943496686772000 1998246311433772618500 2131462732196024126400 2341056567528633165496 2557755278635228951680 2633688638469712311183 2664328415245030158000 2926320709410791456870 3197194098294036189600 3511584851292949748244 3552437886993373544000 3996492622867545237000 4262925464392048252800 4389481064116187185305 4682113135057266330992 5267377276939424622366 5328656830490060316000 5852641418821582913740 6394388196588072379200 7023169702585899496488 7104875773986747088000 7315801773526978642175 7992985245735090474000 8778962128232374370610 9364226270114532661984 10534754553878849244732 10657313660980120632000 11705282837643165827480 12788776393176144758400 13168443192348561555915 14046339405171798992976 14631603547053957284350 15985970491470180948000 17557924256464748741220 18728452540229065323968 21069509107757698489464 21314627321960241264000 21947405320580935926525 23410565675286331654960 26336886384697123111830 28092678810343597985952 29263207094107914568700 31971940982940361896000 35115848512929497482440 36579008867634893210875 37456905080458130647936 42139018215515396978928 43894810641161871853050 46821131350572663309920 52673772769394246223660 56185357620687195971904 58526414188215829137400 63943881965880723792000 65842215961742807779575 70231697025858994964880 73158017735269786421750 84278036431030793957856 87789621282323743706100 93642262701145326619840 105347545538788492447320 109737026602904679632625 112370715241374391943808 117052828376431658274800 131684431923485615559150 140463394051717989929760 146316035470539572843500 168556072862061587915712 175579242564647487412200 187284525402290653239680 210695091077576984894640 219474053205809359265250 234105656752863316549600 263368863846971231118300 280926788103435979859520 292632070941079145687000 329211079808714038897875 337112145724123175831424 351158485129294974824400 421390182155153969789280 438948106411618718530500 468211313505726633099200 526737727693942462236600 561853576206871959719040 585264141882158291374000 658422159617428077795750 702316970258589949648800 842780364310307939578560 877896212823237437061000 936422627011453266198400 1053475455387884924473200 1170528283764316582748000 1316844319234856155591500 1404633940517179899297600 1685560728620615879157120 1755792425646474874122000 2106950910775769848946400 2341056567528633165496000 2633688638469712311183000 2809267881034359798595200 3511584851292949748244000 4213901821551539697892800 4682113135057266330992000 5267377276939424622366000 7023169702585899496488000 8427803643103079395785600 10534754553878849244732000 14046339405171798992976000 21069509107757698489464000 42139018215515396978928000
- Sum of all divisors σ(n): 151561387632579638891205600
- Sum of proper divisors (its aliquot sum) s(n): 109422369417064241912277600
- 42139018215515396978928000 is an abundant number, because the sum of its proper divisors (109422369417064241912277600) is greater than itself. Its abundance is 67283351201548844933349600
Bases of 42139018215515396978928000
- Binary: 100010110110110100100011000001001110010111110000101010101010000111011001101001100000002
- Hexadecimal: 0x22DB48C1397C2AA8766980
- Base-36: 5ALZ954XOKSLMSM80
Squares and roots of 42139018215515396978928000
- 42139018215515396978928000 squared (421390182155153969789280002) is 1775696856167538431591271560392928109276029184000000
- 42139018215515396978928000 cubed (421390182155153969789280003) is 74826122167277325855697820370273546911888663895584343054681561034752000000000
-
The
square root of 42139018215515396978928000 is 6491457326018.2029004475 -
The
cube root of 42139018215515396978928000 is 347985758.8072593403
Scales and comparisons
How big is 42139018215515396978928000?- 42,139,018,215,515,396,978,928,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,139,018,215,515,396,978,928,000 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 42139018215515396978928000 cubic inches would be around 28998813.2 feet tall.
Recreational maths with 42139018215515396978928000
- 42139018215515396978928000 backwards is 00082987969351551281093124
- The number of decimal digits it has is: 26
- The sum of 42139018215515396978928000's digits is 108
- More coming soon!
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The information we have on file for 42139018215515396978928000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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