42446216305701993808000
42,446,216,305,701,993,808,000 is an even composite number composed of five prime numbers multiplied together.
42446216305701993808000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 42446216305701993808000:
27 × 53 × 271 × 2857 × 3426411105379
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 271 × 2857 × 3426411105379)See below for interesting mathematical facts about the number 42446216305701993808000 from the Numbermatics database.
Names of 42446216305701993808000
- Cardinal: 42446216305701993808000 can be written as Forty-two sextillion, four hundred forty-six quintillion, two hundred sixteen quadrillion, three hundred five trillion, seven hundred one billion, nine hundred ninety-three million, eight hundred eight thousand.
Scientific notation
- Scientific notation: 4.2446216305701993808 × 1022
Factors of 42446216305701993808000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 3426411108514
Divisors of 42446216305701993808000
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 271 320 400 500 542 640 800 1000 1084 1355 1600 2000 2168 2710 2857 3200 4000 4336 5420 5714 6775 8000 8672 10840 11428 13550 14285 16000 17344 21680 22856 27100 28570 33875 34688 43360 45712 54200 57140 67750 71425 86720 91424 108400 114280 135500 142850 173440 182848 216800 228560 271000 285700 357125 365696 433600 457120 542000 571400 714250 774247 867200 914240 1084000 1142800 1428500 1548494 1828480 2168000 2285600 2857000 3096988 3871235 4336000 4571200 5714000 6193976 7742470 9142400 11428000 12387952 15484940 19356175 22856000 24775904 30969880 38712350 45712000 49551808 61939760 77424700 96780875 99103616 123879520 154849400 193561750 247759040 309698800 387123500 495518080 619397600 774247000 1238795200 1548494000 2477590400 3096988000 6193976000 12387952000 3426411105379 6852822210758 13705644421516 17132055526895 27411288843032 34264111053790 54822577686064 68528222107580 85660277634475 109645155372128 137056444215160 171320555268950 219290310744256 274112888430320 342641110537900 428301388172375 438580621488512 548225776860640 685282221075800 856602776344750 928557409557709 1096451553721280 1370564442151600 1713205552689500 1857114819115418 2192903107442560 2741128884303200 3426411105379000 3714229638230836 4642787047788545 5482257768606400 6852822210758000 7428459276461672 9285574095577090 9789256528067803 10964515537212800 13705644421516000 14856918552923344 18571148191154180 19578513056135606 23213935238942725 27411288843032000 29713837105846688 37142296382308360 39157026112271212 46427870477885450 48946282640339015 54822577686064000 59427674211693376 74284592764616720 78314052224542424 92855740955770900 97892565280678030 116069676194713625 118855348423386752 148569185529233440 156628104449084848 185711481911541800 195785130561356060 232139352389427250 244731413201695075 297138371058466880 313256208898169696 371422963823083600 391570261122712120 464278704778854500 489462826403390150 594276742116933760 626512417796339392 742845927646167200 783140522245424240 928557409557709000 978925652806780300 1223657066008475375 1253024835592678784 1485691855292334400 1566281044490848480 1857114819115418000 1957851305613560600 2447314132016950750 2652888519106374613 2971383710584668800 3132562088981696960 3714229638230836000 3915702611227121200 4894628264033901500 5305777038212749226 6265124177963393920 7428459276461672000 7831405222454242400 9789256528067803000 10611554076425498452 13264442595531873065 14856918552923344000 15662810444908484800 19578513056135606000 21223108152850996904 26528885191063746130 31325620889816969600 39157026112271212000 42446216305701993808 53057770382127492260 66322212977659365325 78314052224542424000 84892432611403987616 106115540764254984520 132644425955318730650 156628104449084848000 169784865222807975232 212231081528509969040 265288851910637461300 331611064888296826625 339569730445615950464 424462163057019938080 530577703821274922600 663222129776593653250 848924326114039876160 1061155407642549845200 1326444259553187306500 1697848652228079752320 2122310815285099690400 2652888519106374613000 4244621630570199380800 5305777038212749226000 8489243261140398761600 10611554076425498452000 21223108152850996904000 42446216305701993808000
- Sum of all divisors σ(n): 105958396231155020966400
- Sum of proper divisors (its aliquot sum) s(n): 63512179925453027158400
- 42446216305701993808000 is an abundant number, because the sum of its proper divisors (63512179925453027158400) is greater than itself. Its abundance is 21065963619751033350400
Bases of 42446216305701993808000
- Binary: 10001111110100000011100101010100100001010111111110001011001110000000100000002
- Hexadecimal: 0x8FD03954857F8B38080
- Base-36: 6WTYGA289LJDE9S
Squares and roots of 42446216305701993808000
- 42446216305701993808000 squared (424462163057019938080002) is 1801681278670441815063770074186470340864000000
- 42446216305701993808000 cubed (424462163057019938080003) is 76474553268379325193729764564503864709995027404182177370112000000000
-
The
square root of 42446216305701993808000 is 206024795366.2422493221 -
The
cube root of 42446216305701993808000 is 34882933.0392845915
Scales and comparisons
How big is 42446216305701993808000?- 42,446,216,305,701,993,808,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,446,216,305,701,993,808,000 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 42446216305701993808000 cubic inches would be around 2906911.1 feet tall.
Recreational maths with 42446216305701993808000
- 42446216305701993808000 backwards is 00080839910750361264424
- The number of decimal digits it has is: 23
- The sum of 42446216305701993808000's digits is 82
- More coming soon!
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