427138088605433362080
427,138,088,605,433,362,080 is an even composite number composed of six prime numbers multiplied together.
What does the number 427138088605433362080 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
427138088605433362080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 427138088605433362080:
25 × 34 × 5 × 7 × 11 × 428028387651749
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 428028387651749)See below for interesting mathematical facts about the number 427138088605433362080 from the Numbermatics database.
Names of 427138088605433362080
- Cardinal: 427138088605433362080 can be written as Four hundred twenty-seven quintillion, one hundred thirty-eight quadrillion, eighty-eight trillion, six hundred five billion, four hundred thirty-three million, three hundred sixty-two thousand and eighty.
Scientific notation
- Scientific notation: 4.2713808860543336208 × 1020
Factors of 427138088605433362080
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 428028387651777
Divisors of 427138088605433362080
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 66 70 72 77 80 81 84 88 90 96 99 105 108 110 112 120 126 132 135 140 144 154 160 162 165 168 176 180 189 198 210 216 220 224 231 240 252 264 270 280 288 297 308 315 324 330 336 352 360 378 385 396 405 420 432 440 462 480 495 504 528 540 560 567 594 616 630 648 660 672 693 720 756 770 792 810 840 864 880 891 924 945 990 1008 1056 1080 1120 1134 1155 1188 1232 1260 1296 1320 1386 1440 1485 1512 1540 1584 1620 1680 1760 1782 1848 1890 1980 2016 2079 2160 2268 2310 2376 2464 2520 2592 2640 2772 2835 2970 3024 3080 3168 3240 3360 3465 3564 3696 3780 3960 4158 4320 4455 4536 4620 4752 5040 5280 5544 5670 5940 6048 6160 6237 6480 6930 7128 7392 7560 7920 8316 8910 9072 9240 9504 10080 10395 11088 11340 11880 12320 12474 12960 13860 14256 15120 15840 16632 17820 18144 18480 20790 22176 22680 23760 24948 27720 28512 30240 31185 33264 35640 36960 41580 45360 47520 49896 55440 62370 66528 71280 83160 90720 99792 110880 124740 142560 166320 199584 249480 332640 498960 997920 428028387651749 856056775303498 1284085162955247 1712113550606996 2140141938258745 2568170325910494 2996198713562243 3424227101213992 3852255488865741 4280283876517490 4708312264169239 5136340651820988 5992397427124486 6420425814776235 6848454202427984 7704510977731482 8560567753034980 8988596140686729 9416624528338478 10272681303641976 11556766466597223 11984794854248972 12840851629552470 13696908404855968 14124936792507717 14980993567811215 15409021955462964 17121135506069960 17977192281373458 18833249056676956 19261277444328705 20545362607283952 23113532933194446 23541561320846195 23969589708497944 25681703259104940 26965788422060187 28249873585015434 29961987135622430 30818043910925928 32958185849184673 34242271012139920 34670299399791669 35954384562746916 37666498113353912 38522554888657410 41090725214567904 42374810377523151 44942980703433645 46227065866388892 47083122641692390 47939179416995888 51363406518209880 53931576844120374 56499747170030868 57783832332986115 59923974271244860 61636087821851856 65916371698369346 68484542024279840 69340598799583338 70624683962538585 71908769125493832 75332996226707824 77045109777314820 80897365266180561 84749620755046302 89885961406867290 92454131732777784 94166245283384780 95878358833991776 98874557547554019 102726813036419760 107863153688240748 112999494340061736 115567664665972230 119847948542489720 123272175643703712 127124431132569453 131832743396738692 134828942110300935 138681197599166676 141249367925077170 143817538250987664 150665992453415648 154090219554629640 161794730532361122 164790929245923365 169499241510092604 173351496998958345 179771922813734580 184908263465555568 188332490566769560 197749115095108038 205453626072839520 211874051887615755 215726307376481496 225998988680123472 231135329331944460 239695897084979440 242692095798541683 254248862265138906 263665486793477384 269657884220601870 277362395198333352 282498735850154340 287635076501975328 296623672642662057 308180439109259280 323589461064722244 329581858491846730 338998483020185208 346702993997916690 359543845627469160 369816526931111136 376664981133539120 381373293397708359 395498230190216076 404486826330902805 423748103775231510 431452614752962992 451997977360246944 462270658663888920 479391794169958880 485384191597083366 494372787737770095 508497724530277812 527330973586954768 539315768441203740 554724790396666704 564997471700308680 593247345285324114 616360878218518560 635622155662847265 647178922129444488 659163716983693460 677996966040370416 693405987995833380 719087691254938320 753329962267078240 762746586795416718 790996460380432152 808973652661805610 847496207550463020 862905229505925984 889871017927986171 924541317327777840 970768383194166732 988745575475540190 1016995449060555624 1054661947173909536 1078631536882407480 1109449580793333408 1129994943400617360 1186494690570648228 1213460478992708415 1271244311325694530 1294357844258888976 1318327433967386920 1355993932080740832 1386811975991666760 1438175382509876640 1483118363213310285 1525493173590833436 1581992920760864304 1617947305323611220 1694992415100926040 1779742035855972342 1849082634655555680 1906866466988541795 1941536766388333464 1977491150951080380 2033990898121111248 2157263073764814960 2259989886801234720 2372989381141296456 2426920957985416830 2542488622651389060 2588715688517777952 2636654867934773840 2669613053783958513 2773623951983333520 2966236726426620570 3050986347181666872 3163985841521728608 3235894610647222440 3389984830201852080 3559484071711944684 3813732933977083590 3883073532776666928 3954982301902160760 4067981796242222496 4314526147529629920 4449355089639930855 4745978762282592912 4853841915970833660 5084977245302778120 5273309735869547680 5339226107567917026 5547247903966667040 5932473452853241140 6101972694363333744 6471789221294444880 6779969660403704160 7118968143423889368 7627465867954167180 7766147065553333856 7909964603804321520 8898710179279861710 9491957524565185824 9707683831941667320 10169954490605556240 10678452215135834052 11864946905706482280 12203945388726667488 12943578442588889760 13348065268919792565 14237936286847778736 15254931735908334360 15819929207608643040 17797420358559723420 19415367663883334640 20339908981211112480 21356904430271668104 23729893811412964560 26696130537839585130 28475872573695557472 30509863471816668720 35594840717119446840 38830735327766669280 42713808860543336208 47459787622825929120 53392261075679170260 61019726943633337440 71189681434238893680 85427617721086672416 106784522151358340520 142379362868477787360 213569044302716681040 427138088605433362080
- Sum of all divisors σ(n): 1879407589863911184000
- Sum of proper divisors (its aliquot sum) s(n): 1452269501258477821920
- 427138088605433362080 is an abundant number, because the sum of its proper divisors (1452269501258477821920) is greater than itself. Its abundance is 1025131412653044459840
Bases of 427138088605433362080
- Binary: 1011100100111101110110101010010000011000101100010111001110110101000002
- Hexadecimal: 0x1727BB5483162E76A0
- Base-36: 2I570NKYMQ8A00
Squares and roots of 427138088605433362080
- 427138088605433362080 squared (4271380886054333620802) is 182446946737503041747075361999492381926400
- 427138088605433362080 cubed (4271380886054333620803) is 77930040101354355510547103505529466409093996766247779110912000
-
The
square root of 427138088605433362080 is 20667319337.6749603579 -
The
cube root of 427138088605433362080 is 7531059.8669420925
Scales and comparisons
How big is 427138088605433362080?- 427,138,088,605,433,362,080 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 427,138,088,605,433,362,080 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 427138088605433362080 cubic inches would be around 627588.3 feet tall.
Recreational maths with 427138088605433362080
- 427138088605433362080 backwards is 080263334506880831724
- 427138088605433362080 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 427138088605433362080's digits is 81
- More coming soon!
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The information we have on file for 427138088605433362080 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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