82645464348844800
82,645,464,348,844,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 82645464348844800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 216 divisors.
82645464348844800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 82645464348844800:
28 × 3 × 52 × 13 × 331111636013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 331111636013)See below for interesting mathematical facts about the number 82645464348844800 from the Numbermatics database.
Names of 82645464348844800
- Cardinal: 82645464348844800 can be written as Eighty-two quadrillion, six hundred forty-five trillion, four hundred sixty-four billion, three hundred forty-eight million, eight hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 8.26454643488448 × 1016
Factors of 82645464348844800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 331111636036
Divisors of 82645464348844800
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 192 195 200 208 240 256 260 300 312 320 325 384 390 400 416 480 520 600 624 640 650 768 780 800 832 960 975 1040 1200 1248 1280 1300 1560 1600 1664 1920 1950 2080 2400 2496 2600 3120 3200 3328 3840 3900 4160 4800 4992 5200 6240 6400 7800 8320 9600 9984 10400 12480 15600 16640 19200 20800 24960 31200 41600 49920 62400 83200 124800 249600 331111636013 662223272026 993334908039 1324446544052 1655558180065 1986669816078 2648893088104 3311116360130 3973339632156 4304451268169 4966674540195 5297786176208 6622232720260 7946679264312 8277790900325 8608902536338 9933349080390 10595572352416 12913353804507 13244465440520 15893358528624 16555581800650 17217805072676 19866698160780 21191144704832 21522256340845 24833372700975 25826707609014 26488930881040 31786717057248 33111163601300 34435610145352 39733396321560 42382289409664 43044512681690 49666745401950 51653415218028 52977861762080 63573434114496 64566769022535 66222327202600 68871220290704 79466792643120 84764578819328 86089025363380 99333490803900 103306830436056 105955723524160 107611281704225 127146868228992 129133538045070 132444654405200 137742440581408 158933585286240 172178050726760 198666981607800 206613660872112 211911447048320 215222563408450 254293736457984 258267076090140 264889308810400 275484881162816 317867170572480 322833845112675 344356101453520 397333963215600 413227321744224 423822894096640 430445126816900 516534152180280 529778617620800 550969762325632 635734341144960 645667690225350 688712202907040 794667926431200 826454643488448 860890253633800 1033068304360560 1059557235241600 1101939524651264 1271468682289920 1291335380450700 1377424405814080 1589335852862400 1652909286976896 1721780507267600 2066136608721120 2119114470483200 2582670760901400 2754848811628160 3178671705724800 3305818573953792 3443561014535200 4132273217442240 5165341521802800 5509697623256320 6357343411449600 6887122029070400 8264546434884480 10330683043605600 13774244058140800 16529092869768960 20661366087211200 27548488116281600 41322732174422400 82645464348844800
- Sum of all divisors σ(n): 293727807861475344
- Sum of proper divisors (its aliquot sum) s(n): 211082343512630544
- 82645464348844800 is an abundant number, because the sum of its proper divisors (211082343512630544) is greater than itself. Its abundance is 128436879163785744
Bases of 82645464348844800
- Binary: 1001001011001110110011100101010001100111101100011000000002
- Hexadecimal: 0x1259D9CA8CF6300
- Base-36: MLRDE6MNAIO
Squares and roots of 82645464348844800
- 82645464348844800 squared (826454643488448002) is 6830272777436176841667094487040000
- 82645464348844800 cubed (826454643488448003) is 564491065320486706455799180509252029472571392000000
-
The
square root of 82645464348844800 is 287481241.7338647853 -
The
cube root of 82645464348844800 is 435585.0925329249
Scales and comparisons
How big is 82645464348844800?- 82,645,464,348,844,800 seconds is equal to 2,627,870,127 years, 4 weeks, 3 days, 18 hours, 40 minutes.
-
To count from 1 to 82,645,464,348,844,800 would take you about seven billion, eight hundred eighty-three million, six hundred ten thousand, three hundred eighty-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 82645464348844800 cubic inches would be around 36298.8 feet tall.
Recreational maths with 82645464348844800
- 82645464348844800 backwards is 00844884346454628
- 82645464348844800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 82645464348844800's digits is 78
- More coming soon!
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