137728280774422488144
137,728,280,774,422,488,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 137728280774422488144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 80 divisors.
137728280774422488144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 137728280774422488144:
24 × 3 × 53 × 6039559 × 8963978189
(2 × 2 × 2 × 2 × 3 × 53 × 6039559 × 8963978189)See below for interesting mathematical facts about the number 137728280774422488144 from the Numbermatics database.
Names of 137728280774422488144
- Cardinal: 137728280774422488144 can be written as One hundred thirty-seven quintillion, seven hundred twenty-eight quadrillion, two hundred eighty trillion, seven hundred seventy-four billion, four hundred twenty-two million, four hundred eighty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.37728280774422488144 × 1020
Factors of 137728280774422488144
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 8
- Sum of prime factors: 8970017806
Divisors of 137728280774422488144
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 6039559 12079118 18118677 24158236 36237354 48316472 72474708 96632944 144949416 289898832 320096627 640193254 960289881 1280386508 1920579762 2560773016 3841159524 5121546032 7682319048 8963978189 15364638096 17927956378 26891934567 35855912756 53783869134 71711825512 107567738268 143423651024 215135476536 430270953072 475090844017 950181688034 1425272532051 1900363376068 2850545064102 3800726752136 5701090128204 7601453504272 11402180256408 22804360512816 54138475147178651 108276950294357302 162415425441535953 216553900588714604 324830850883071906 433107801177429208 649661701766143812 866215602354858416 1299323403532287624 2598646807064575248 2869339182800468503 5738678365600937006 8608017548401405509 11477356731201874012 17216035096802811018 22954713462403748024 34432070193605622036 45909426924807496048 68864140387211244072 137728280774422488144
- Sum of all divisors σ(n): 362511289648747094400
- Sum of proper divisors (its aliquot sum) s(n): 224783008874324606256
- 137728280774422488144 is an abundant number, because the sum of its proper divisors (224783008874324606256) is greater than itself. Its abundance is 87054728099902118112
Bases of 137728280774422488144
- Binary: 11101110111010111010010010110100110000011001011011011100100010100002
- Hexadecimal: 0x7775D25A60CB6E450
- Base-36: T2E7SUYPH7T5C
Squares and roots of 137728280774422488144
- 137728280774422488144 squared (1377282807744224881442) is 18969079325078155170517214783143820564736
- 137728280774422488144 cubed (1377282807744224881443) is 2612578683316656785936375846886231462756814846421128344489984
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The
square root of 137728280774422488144 is 11735769287.7127781471 -
The
cube root of 137728280774422488144 is 5164255.3580565151
Scales and comparisons
How big is 137728280774422488144?- 137,728,280,774,422,488,144 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 137,728,280,774,422,488,144 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 137728280774422488144 cubic inches would be around 430354.6 feet tall.
Recreational maths with 137728280774422488144
- 137728280774422488144 backwards is 441884224477082827731
- The number of decimal digits it has is: 21
- The sum of 137728280774422488144's digits is 93
- More coming soon!
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