40227380081125177248
40,227,380,081,125,177,248 is an even composite number composed of six prime numbers multiplied together.
40227380081125177248 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 40227380081125177248:
25 × 32 × 7 × 11 × 17 × 106706190266969
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 17 × 106706190266969)See below for interesting mathematical facts about the number 40227380081125177248 from the Numbermatics database.
Names of 40227380081125177248
- Cardinal: 40227380081125177248 can be written as Forty quintillion, two hundred twenty-seven quadrillion, three hundred eighty trillion, eighty-one billion, one hundred twenty-five million, one hundred seventy-seven thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 4.0227380081125177248 × 1019
Factors of 40227380081125177248
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 106706190267009
Divisors of 40227380081125177248
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 28 32 33 34 36 42 44 48 51 56 63 66 68 72 77 84 88 96 99 102 112 119 126 132 136 144 153 154 168 176 187 198 204 224 231 238 252 264 272 288 306 308 336 352 357 374 396 408 462 476 504 528 544 561 612 616 672 693 714 748 792 816 924 952 1008 1056 1071 1122 1224 1232 1309 1386 1428 1496 1584 1632 1683 1848 1904 2016 2142 2244 2448 2464 2618 2772 2856 2992 3168 3366 3696 3808 3927 4284 4488 4896 5236 5544 5712 5984 6732 7392 7854 8568 8976 10472 11088 11424 11781 13464 15708 17136 17952 20944 22176 23562 26928 31416 34272 41888 47124 53856 62832 94248 125664 188496 376992 106706190266969 213412380533938 320118570800907 426824761067876 640237141601814 746943331868783 853649522135752 960355712402721 1173768092936659 1280474283203628 1493886663737566 1707299044271504 1814005234538473 1920711424805442 2240829995606349 2347536185873318 2560948566407256 2987773327475132 3414598088543008 3521304278809977 3628010469076946 3841422849610884 4481659991212698 4695072371746636 5121897132814512 5442015703615419 5975546654950264 6722489986819047 7042608557619954 7256020938153892 7682845699221768 8216376650556613 8963319982425396 9390144743493272 10243794265629024 10563912836429931 10884031407230838 11951093309900528 12698036641769311 13444979973638094 14085217115239908 14512041876307784 15365691398443536 16326047110846257 16432753301113226 17926639964850792 18780289486986544 19954057579923203 21127825672859862 21768062814461676 23902186619801056 24649129951669839 25396073283538622 26889959947276188 28170434230479816 29024083752615568 30731382796887072 32652094221692514 32865506602226452 35853279929701584 37560578973973088 38094109925307933 39908115159846406 42255651345719724 43536125628923352 49298259903339678 50792146567077244 53779919894552376 56340868460959632 58048167505231136 59862172739769609 65304188443385028 65731013204452904 71706559859403168 73947389855009517 76188219850615866 79816230319692812 84511302691439448 87072251257846704 98596519806679356 101584293134154488 107559839789104752 112681736921919264 114282329775923799 119724345479539218 130608376886770056 131462026408905808 139678403059462421 147894779710019034 152376439701231732 159632460639385624 169022605382878896 174144502515693408 179586518219308827 197193039613358712 203168586268308976 215119679578209504 228564659551847598 239448690959078436 261216753773540112 262924052817811616 279356806118924842 295789559420038068 304752879402463464 319264921278771248 338045210765757792 359173036438617654 394386079226717424 406337172536617952 419035209178387263 457129319103695196 478897381918156872 522433507547080224 558713612237849684 591579118840076136 609505758804926928 638529842557542496 718346072877235308 788772158453434848 838070418356774526 914258638207390392 957794763836313744 1117427224475699368 1183158237680152272 1219011517609853856 1257105627535161789 1436692145754470616 1676140836713549052 1828517276414780784 1915589527672627488 2234854448951398736 2366316475360304544 2514211255070323578 2873384291508941232 3352281673427098104 3657034552829561568 4469708897902797472 5028422510140647156 5746768583017882464 6704563346854196208 10056845020281294312 13409126693708392416 20113690040562588624 40227380081125177248
- Sum of all divisors σ(n): 151014015063904487040
- Sum of proper divisors (its aliquot sum) s(n): 110786634982779309792
- 40227380081125177248 is an abundant number, because the sum of its proper divisors (110786634982779309792) is greater than itself. Its abundance is 70559254901654132544
Bases of 40227380081125177248
- Binary: 1000101110010001000101110100001100110011000001011100110111101000002
- Hexadecimal: 0x22E445D0CCC1737A0
- Base-36: 8HMMW474VAUG0
Squares and roots of 40227380081125177248
- 40227380081125177248 squared (402273800811251772482) is 1618242108191306672026594863519416853504
- 40227380081125177248 cubed (402273800811251772483) is 65097640349492984049346148141726230817208800850110449876992
-
The
square root of 40227380081125177248 is 6342505820.3461805927 -
The
cube root of 40227380081125177248 is 3426419.8941613907
Scales and comparisons
How big is 40227380081125177248?- 40,227,380,081,125,177,248 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 40,227,380,081,125,177,248 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 40227380081125177248 cubic inches would be around 285535 feet tall.
Recreational maths with 40227380081125177248
- 40227380081125177248 backwards is 84277152118008372204
- 40227380081125177248 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 40227380081125177248's digits is 72
- More coming soon!
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