54438768000
54,438,768,000 is an even composite number composed of five prime numbers multiplied together.
54438768000 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 54438768000:
27 × 32 × 53 × 257 × 1471
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 257 × 1471)See below for interesting mathematical facts about the number 54438768000 from the Numbermatics database.
Names of 54438768000
- Cardinal: 54438768000 can be written as Fifty-four billion, four hundred thirty-eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 5.4438768 × 1010
Factors of 54438768000
Divisors of 54438768000
- Number of divisors d(n): 384
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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 96 100 120 125 128 144 150 160 180 192 200 225 240 250 257 288 300 320 360 375 384 400 450 480 500 514 576 600 640 720 750 771 800 900 960 1000 1028 1125 1152 1200 1285 1440 1471 1500 1542 1600 1800 1920 2000 2056 2250 2313 2400 2570 2880 2942 3000 3084 3200 3600 3855 4000 4112 4413 4500 4626 4800 5140 5760 5884 6000 6168 6425 7200 7355 7710 8000 8224 8826 9000 9252 9600 10280 11565 11768 12000 12336 12850 13239 14400 14710 15420 16000 16448 17652 18000 18504 19275 20560 22065 23130 23536 24000 24672 25700 26478 28800 29420 30840 32125 32896 35304 36000 36775 37008 38550 41120 44130 46260 47072 48000 49344 51400 52956 57825 58840 61680 64250 66195 70608 72000 73550 74016 77100 82240 88260 92520 94144 96375 98688 102800 105912 110325 115650 117680 123360 128500 132390 141216 144000 147100 148032 154200 164480 176520 183875 185040 188288 192750 205600 211824 220650 231300 235360 246720 257000 264780 282432 289125 294200 296064 308400 330975 353040 367750 370080 378047 385500 411200 423648 441300 462600 470720 493440 514000 529560 551625 564864 578250 588400 616800 661950 706080 735500 740160 756094 771000 822400 847296 882600 925200 941440 1028000 1059120 1103250 1134141 1156500 1176800 1233600 1323900 1412160 1471000 1480320 1512188 1542000 1654875 1694592 1765200 1850400 1890235 2056000 2118240 2206500 2268282 2313000 2353600 2467200 2647800 2824320 2942000 3024376 3084000 3309750 3402423 3530400 3700800 3780470 4112000 4236480 4413000 4536564 4626000 4707200 5295600 5670705 5884000 6048752 6168000 6619500 6804846 7060800 7401600 7560940 8472960 8826000 9073128 9252000 9451175 10591200 11341410 11768000 12097504 12336000 13239000 13609692 14121600 15121880 17012115 17652000 18146256 18504000 18902350 21182400 22682820 23536000 24195008 26478000 27219384 28353525 30243760 34024230 35304000 36292512 37008000 37804700 42364800 45365640 47255875 48390016 52956000 54438768 56707050 60487520 68048460 70608000 72585024 75609400 85060575 90731280 94511750 105912000 108877536 113414100 120975040 136096920 141767625 145170048 151218800 170121150 181462560 189023500 211824000 217755072 226828200 241950080 272193840 283535250 302437600 340242300 362925120 378047000 425302875 435510144 453656400 544387680 567070500 604875200 680484600 725850240 756094000 850605750 907312800 1088775360 1134141000 1209750400 1360969200 1512188000 1701211500 1814625600 2177550720 2268282000 2721938400 3024376000 3402423000 3629251200 4536564000 5443876800 6048752000 6804846000 9073128000 10887753600 13609692000 18146256000 27219384000 54438768000
- Sum of all divisors σ(n): 196397360640
- Sum of proper divisors (its aliquot sum) s(n): 141958592640
- 54438768000 is an abundant number, because the sum of its proper divisors (141958592640) is greater than itself. Its abundance is 87519824640
Bases of 54438768000
- Binary: 1100101011001100110110101101100000002
- Hexadecimal: 0xCACCDAD80
- Base-36: P0BFQ80
Squares and roots of 54438768000
- 54438768000 squared (544387680002) is 2963579461357824000000
- 54438768000 cubed (544387680003) is 161333614746423545720832000000000
-
The
square root of 54438768000 is 233321.1692067395 -
The
cube root of 54438768000 is 3789.9728255769
Scales and comparisons
How big is 54438768000?- 54,438,768,000 seconds is equal to 1,730 years, 51 weeks, 1 day, 8 hours.
-
To count from 1 to 54,438,768,000 would take you about three thousand, four hundred sixty-one 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 54438768000 cubic inches would be around 315.8 feet tall.
Recreational maths with 54438768000
- 54438768000 backwards is 00086783445
- 54438768000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 54438768000's digits is 45
- More coming soon!
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