137812224804000
137,812,224,804,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 137812224804000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 96 divisors.
137812224804000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 137812224804000:
25 × 3 × 53 × 11484352067
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11484352067)See below for interesting mathematical facts about the number 137812224804000 from the Numbermatics database.
Names of 137812224804000
- Cardinal: 137812224804000 can be written as One hundred thirty-seven trillion, eight hundred twelve billion, two hundred twenty-four million, eight hundred four thousand.
Scientific notation
- Scientific notation: 1.37812224804 × 1014
Factors of 137812224804000
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 11484352077
Divisors of 137812224804000
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 11484352067 22968704134 34453056201 45937408268 57421760335 68906112402 91874816536 114843520670 137812224804 172265281005 183749633072 229687041340 275624449608 287108801675 344530562010 367499266144 459374082680 551248899216 574217603350 689061124020 861326405025 918748165360 1102497798432 1148435206700 1378122248040 1435544008375 1722652810050 1837496330720 2296870413400 2756244496080 2871088016750 3445305620100 4306632025125 4593740826800 5512488992160 5742176033500 6890611240200 8613264050250 9187481653600 11484352067000 13781222480400 17226528100500 22968704134000 27562444960800 34453056201000 45937408268000 68906112402000 137812224804000
- Sum of all divisors σ(n): 451472848497216
- Sum of proper divisors (its aliquot sum) s(n): 313660623693216
- 137812224804000 is an abundant number, because the sum of its proper divisors (313660623693216) is greater than itself. Its abundance is 175848398889216
Bases of 137812224804000
- Binary: 111110101010110111010001011010010000100101000002
- Hexadecimal: 0x7D56E8B484A0
- Base-36: 1CUM28FWYO
Squares and roots of 137812224804000
- 137812224804000 squared (1378122248040002) is 18992209305428232838416000000
- 137812224804000 cubed (1378122248040003) is 2617358618324296321416240799270464000000000
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The
square root of 137812224804000 is 11739345.1607830325 -
The
cube root of 137812224804000 is 51653.0433255147
Scales and comparisons
How big is 137812224804000?- 137,812,224,804,000 seconds is equal to 4,382,002 years, 24 weeks, 2 days, 4 hours, 40 minutes.
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To count from 1 to 137,812,224,804,000 would take you about ten million, nine hundred fifty-five thousand and six 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 137812224804000 cubic inches would be around 4304.4 feet tall.
Recreational maths with 137812224804000
- 137812224804000 backwards is 000408422218731
- The number of decimal digits it has is: 15
- The sum of 137812224804000's digits is 42
- More coming soon!
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