385363080014859352000
385,363,080,014,859,352,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 385363080014859352000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 224 divisors.
385363080014859352000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 385363080014859352000:
26 × 53 × 7 × 87481 × 78662607557
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 87481 × 78662607557)See below for interesting mathematical facts about the number 385363080014859352000 from the Numbermatics database.
Names of 385363080014859352000
- Cardinal: 385363080014859352000 can be written as Three hundred eighty-five quintillion, three hundred sixty-three quadrillion, eighty trillion, fourteen billion, eight hundred fifty-nine million, three hundred fifty-two thousand.
Scientific notation
- Scientific notation: 3.85363080014859352 × 1020
Factors of 385363080014859352000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 78662695052
Divisors of 385363080014859352000
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 4000 5600 7000 8000 11200 14000 28000 56000 87481 174962 349924 437405 612367 699848 874810 1224734 1399696 1749620 2187025 2449468 2799392 3061835 3499240 4374050 4898936 5598784 6123670 6998480 8748100 9797872 10935125 12247340 13996960 15309175 17496200 19595744 21870250 24494680 27993920 30618350 34992400 39191488 43740500 48989360 61236700 69984800 76545875 87481000 97978720 122473400 139969600 153091750 174962000 195957440 244946800 306183500 349924000 489893600 612367000 699848000 979787200 1224734000 2449468000 4898936000 78662607557 157325215114 314650430228 393313037785 550638252899 629300860456 786626075570 1101276505798 1258601720912 1573252151140 1966565188925 2202553011596 2517203441824 2753191264495 3146504302280 3933130377850 4405106023192 5034406883648 5506382528990 6293008604560 7866260755700 8810212046384 9832825944625 11012765057980 12586017209120 13765956322475 15732521511400 17620424092768 19665651889250 22025530115960 25172034418240 27531912644950 31465043022800 35240848185536 39331303778500 44051060231920 55063825289900 62930086045600 68829781612375 78662607557000 88102120463840 110127650579800 125860172091200 137659563224750 157325215114000 176204240927680 220255301159600 275319126449500 314650430228000 440510602319200 550638252899000 629300860456000 881021204638400 1101276505798000 2202553011596000 4405106023192000 6881483571693917 13762967143387834 27525934286775668 34407417858469585 48170385001857419 55051868573551336 68814835716939170 96340770003714838 110103737147102672 137629671433878340 172037089292347925 192681540007429676 220207474294205344 240851925009287095 275259342867756680 344074178584695850 385363080014859352 440414948588410688 481703850018574190 550518685735513360 688148357169391700 770726160029718704 860185446461739625 963407700037148380 1101037371471026720 1204259625046435475 1376296714338783400 1541452320059437408 1720370892923479250 1926815400074296760 2202074742942053440 2408519250092870950 2752593428677566800 3082904640118874816 3440741785846958500 3853630800148593520 4817038500185741900 5505186857355133600 6021298125232177375 6881483571693917000 7707261600297187040 9634077000371483800 11010373714710267200 12042596250464354750 13762967143387834000 15414523200594374080 19268154000742967600 24085192500928709500 27525934286775668000 38536308001485935200 48170385001857419000 55051868573551336000 77072616002971870400 96340770003714838000 192681540007429676000 385363080014859352000
- Sum of all divisors σ(n): 1090700087901711970176
- Sum of proper divisors (its aliquot sum) s(n): 705337007886852618176
- 385363080014859352000 is an abundant number, because the sum of its proper divisors (705337007886852618176) is greater than itself. Its abundance is 319973927871993266176
Bases of 385363080014859352000
- Binary: 1010011100011111111001010111110001000010011000010000000110111110000002
- Hexadecimal: 0x14E3FCAF884C2037C0
- Base-36: 29BT36Y1BH2OXS
Squares and roots of 385363080014859352000
- 385363080014859352000 squared (3853630800148593520002) is 148504703438538891307269120341859904000000
- 385363080014859352000 cubed (3853630800148593520003) is 57228229913768621516003314355454237551834376648222208000000000
-
The
square root of 385363080014859352000 is 19630666825.5273323509 -
The
cube root of 385363080014859352000 is 7277072.4956791139
Scales and comparisons
How big is 385363080014859352000?- 385,363,080,014,859,352,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 385,363,080,014,859,352,000 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 385363080014859352000 cubic inches would be around 606422.7 feet tall.
Recreational maths with 385363080014859352000
- 385363080014859352000 backwards is 000253958410080363583
- The number of decimal digits it has is: 21
- The sum of 385363080014859352000's digits is 73
- More coming soon!
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