82745416877968237014400
82,745,416,877,968,237,014,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 82745416877968237014400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 192 divisors.
82745416877968237014400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 82745416877968237014400:
27 × 52 × 197453 × 125383 × 1044459433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 197453 × 125383 × 1044459433)See below for interesting mathematical facts about the number 82745416877968237014400 from the Numbermatics database.
Names of 82745416877968237014400
- Cardinal: 82745416877968237014400 can be written as Eighty-two sextillion, seven hundred forty-five quintillion, four hundred sixteen quadrillion, eight hundred seventy-seven trillion, nine hundred sixty-eight billion, two hundred thirty-seven million, fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 8.27454168779682370144 × 1022
Factors of 82745416877968237014400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1044782276
Divisors of 82745416877968237014400
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 125383 197453 250766 394906 501532 626915 789812 987265 1003064 1253830 1579624 1974530 2006128 2507660 3134575 3159248 3949060 4012256 4936325 5015320 6269150 6318496 7898120 8024512 9872650 10030640 12538300 12636992 15796240 16049024 19745300 20061280 25076600 25273984 31592480 39490600 40122560 50153200 63184960 78981200 80245120 100306400 126369920 157962400 200612800 315924800 401225600 631849600 1044459433 2088918866 4177837732 5222297165 8355675464 10444594330 16711350928 20889188660 24757249499 26111485825 33422701856 41778377320 49514498998 52222971650 66845403712 83556754640 99028997996 104445943300 123786247495 133690807424 167113509280 198057995992 208891886600 247572494990 334227018560 396115991984 417783773200 495144989980 618931237475 668454037120 792231983968 835567546400 990289979960 1237862474950 1584463967936 1671135092800 1980579959920 2475724949900 3168927935872 3342270185600 3961159919840 4951449899800 7922319839680 9902899799600 15844639679360 19805799599200 39611599198400 79223198396800 130957457087839 206231648424149 261914914175678 412463296848298 523829828351356 654787285439195 824926593696596 1031158242120745 1047659656702712 1309574570878390 1649853187393192 2062316484241490 2095319313405424 2619149141756780 3273936427195975 3299706374786384 4124632968482980 4190638626810848 5155791210603725 5238298283513560 6547872854391950 6599412749572768 8249265936965960 8381277253621696 10311582421207450 10476596567027120 13095745708783900 13198825499145536 16498531873931920 16762554507243392 20623164842414900 20953193134054240 26191491417567800 26397650998291072 32997063747863840 41246329684829800 41906386268108480 52382982835135600 65994127495727680 82492659369659600 83812772536216960 104765965670271200 131988254991455360 164985318739319200 209531931340542400 329970637478638400 419063862681084800 659941274957276800 25857942774365074067 51715885548730148134 103431771097460296268 129289713871825370335 206863542194920592536 258579427743650740670 413727084389841185072 517158855487301481340 646448569359126851675 827454168779682370144 1034317710974602962680 1292897138718253703350 1654908337559364740288 2068635421949205925360 2585794277436507406700 3309816675118729480576 4137270843898411850720 5171588554873014813400 8274541687796823701440 10343177109746029626800 16549083375593647402880 20686354219492059253600 41372708438984118507200 82745416877968237014400
- Sum of all divisors σ(n): 204409703315200043898720
- Sum of proper divisors (its aliquot sum) s(n): 121664286437231806884320
- 82745416877968237014400 is an abundant number, because the sum of its proper divisors (121664286437231806884320) is greater than itself. Its abundance is 38918869559263569869920
Bases of 82745416877968237014400
- Binary: 100011000010110100011010101100110011010000001000111001011100000101101100000002
- Hexadecimal: 0x1185A35666811CB82D80
- Base-36: DH2SVVI5LCPV6V4
Squares and roots of 82745416877968237014400
- 82745416877968237014400 squared (827454168779682370144002) is 6846804014308750783914477186973654225807360000
- 82745416877968237014400 cubed (827454168779682370144003) is 566541652445723985681100200490452305866934976633868381675945984000000
-
The
square root of 82745416877968237014400 is 287655031031.9084911353 -
The
cube root of 82745416877968237014400 is 43576062.2599933809
Scales and comparisons
How big is 82745416877968237014400?- 82,745,416,877,968,237,014,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 82,745,416,877,968,237,014,400 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 82745416877968237014400 cubic inches would be around 3631338.5 feet tall.
Recreational maths with 82745416877968237014400
- 82745416877968237014400 backwards is 00441073286977861454728
- The number of decimal digits it has is: 23
- The sum of 82745416877968237014400's digits is 103
- More coming soon!
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