820643282483880960
820,643,282,483,880,960 is an even composite number composed of five prime numbers multiplied together.
What does the number 820643282483880960 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 264 divisors.
820643282483880960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 820643282483880960:
210 × 32 × 5 × 13 × 1369930693249
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 1369930693249)See below for interesting mathematical facts about the number 820643282483880960 from the Numbermatics database.
Names of 820643282483880960
- Cardinal: 820643282483880960 can be written as Eight hundred twenty quadrillion, six hundred forty-three trillion, two hundred eighty-two billion, four hundred eighty-three million, eight hundred eighty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 8.2064328248388096 × 1017
Factors of 820643282483880960
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 1369930693272
Divisors of 820643282483880960
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 128 130 144 156 160 180 192 195 208 234 240 256 260 288 312 320 360 384 390 416 468 480 512 520 576 585 624 640 720 768 780 832 936 960 1024 1040 1152 1170 1248 1280 1440 1536 1560 1664 1872 1920 2080 2304 2340 2496 2560 2880 3072 3120 3328 3744 3840 4160 4608 4680 4992 5120 5760 6240 6656 7488 7680 8320 9216 9360 9984 11520 12480 13312 14976 15360 16640 18720 19968 23040 24960 29952 33280 37440 39936 46080 49920 59904 66560 74880 99840 119808 149760 199680 299520 599040 1369930693249 2739861386498 4109792079747 5479722772996 6849653466245 8219584159494 10959445545992 12329376239241 13699306932490 16439168318988 17809099012237 20548960398735 21918891091984 24658752478482 27398613864980 32878336637976 35618198024474 41097920797470 43837782183968 49317504956964 53427297036711 54797227729960 61646881196205 65756673275952 71236396048948 82195841594940 87675564367936 89045495061185 98635009913928 106854594073422 109594455459920 123293762392410 131513346551904 142472792097896 160281891110133 164391683189880 175351128735872 178090990122370 197270019827856 213709188146844 219188910919840 246587524784820 263026693103808 267136485183555 284945584195792 320563782220266 328783366379760 350702257471744 356181980244740 394540039655712 427418376293688 438377821839680 493175049569640 526053386207616 534272970367110 569891168391584 641127564440532 657566732759520 701404514943488 712363960489480 789080079311424 801409455550665 854836752587376 876755643679360 986350099139280 1052106772415232 1068545940734220 1139782336783168 1282255128881064 1315133465519040 1402809029886976 1424727920978960 1578160158622848 1602818911101330 1709673505174752 1753511287358720 1972700198278560 2104213544830464 2137091881468440 2279564673566336 2564510257762128 2630266931038080 2849455841957920 3156320317245696 3205637822202660 3419347010349504 3507022574717440 3945400396557120 4208427089660928 4274183762936880 4559129347132672 5129020515524256 5260533862076160 5698911683915840 6312640634491392 6411275644405320 6838694020699008 7014045149434880 7890800793114240 8548367525873760 9118258694265344 10258041031048512 10521067724152320 11397823367831680 12625281268982784 12822551288810640 13677388041398016 15781601586228480 17096735051747520 18236517388530688 20516082062097024 21042135448304640 22795646735663360 25645102577621280 27354776082796032 31563203172456960 34193470103495040 41032164124194048 45591293471326720 51290205155242560 54709552165592064 63126406344913920 68386940206990080 82064328248388096 91182586942653440 102580410310485120 136773880413980160 164128656496776192 205160820620970240 273547760827960320 410321641241940480 820643282483880960
- Sum of all divisors σ(n): 3062238956958363000
- Sum of proper divisors (its aliquot sum) s(n): 2241595674474482040
- 820643282483880960 is an abundant number, because the sum of its proper divisors (2241595674474482040) is greater than itself. Its abundance is 1420952391990601080
Bases of 820643282483880960
- Binary: 1011011000111000001010110111101010111100001100100100000000002
- Hexadecimal: 0xB6382B7ABC32400
- Base-36: 68GDRJG98U80
Squares and roots of 820643282483880960
- 820643282483880960 squared (8206432824838809602) is 673455397085918842457562223450521600
- 820643282483880960 cubed (8206432824838809603) is 552666647671073918919130420742107378378864104308736000
-
The
square root of 820643282483880960 is 905893637.5115353243 -
The
cube root of 820643282483880960 is 936234.8569060617
Scales and comparisons
How big is 820643282483880960?- 820,643,282,483,880,960 seconds is equal to 26,093,917,966 years, 33 weeks, 4 days, 17 hours, 36 minutes.
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To count from 1 to 820,643,282,483,880,960 would take you about seventy-eight billion, two hundred eighty-one million, seven hundred fifty-three thousand, eight hundred ninety-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 820643282483880960 cubic inches would be around 78019.6 feet tall.
Recreational maths with 820643282483880960
- 820643282483880960 backwards is 069088384282346028
- The number of decimal digits it has is: 18
- The sum of 820643282483880960's digits is 81
- More coming soon!
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