137638241649000000
137,638,241,649,000,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137638241649000000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3528 divisors.
137638241649000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, five hundred twenty-eight divisors.
Prime factorization of 137638241649000000:
26 × 32 × 56 × 31 × 37 × 107 × 3532
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 31 × 37 × 107 × 353 × 353)See below for interesting mathematical facts about the number 137638241649000000 from the Numbermatics database.
Names of 137638241649000000
- Cardinal: 137638241649000000 can be written as One hundred thirty-seven quadrillion, six hundred thirty-eight trillion, two hundred forty-one billion, six hundred forty-nine million.
Scientific notation
- Scientific notation: 1.37638241649 × 1017
Factors of 137638241649000000
Divisors of 137638241649000000
- Number of divisors d(n): 3528
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 37 40 45 48 50 60 62 64 72 74 75 80 90 93 96 100 107 111 120 124 125 144 148 150 155 160 180 185 186 192 200 214 222 225 240 248 250 279 288 296 300 310 320 321 333 353 360 370 372 375 400 428 444 450 465 480 496 500 535 555 558 576 592 600 620 625 642 666 706 720 740 744 750 775 800 856 888 900 925 930 960 963 992 1000 1059 1070 1110 1116 1125 1147 1184 1200 1240 1250 1284 1332 1395 1412 1440 1480 1488 1500 1550 1600 1605 1665 1712 1765 1776 1800 1850 1860 1875 1926 1984 2000 2118 2140 2220 2232 2250 2294 2325 2368 2400 2480 2500 2568 2664 2675 2775 2790 2824 2880 2960 2976 3000 3100 3125 3177 3210 3317 3330 3424 3441 3530 3552 3600 3700 3720 3750 3852 3875 3959 4000 4236 4280 4440 4464 4500 4588 4625 4650 4800 4815 4960 5000 5136 5295 5328 5350 5550 5580 5625 5648 5735 5920 5952 6000 6200 6250 6354 6420 6634 6660 6848 6882 6975 7060 7104 7200 7400 7440 7500 7704 7750 7918 8000 8025 8325 8472 8560 8825 8880 8928 9000 9176 9250 9300 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1433731683843750 1479981093000000 1529313796100000 1720478020612500 1835176555320000 1859976238500000 1911642245125000 2150597525765625 2219971639500000 2293970694150000 2752764832980000 2867463367687500 3058627592200000 3440956041225000 3719952477000000 3823284490250000 4301195051531250 4439943279000000 4587941388300000 5505529665960000 5734926735375000 6881912082450000 7646568980500000 8602390103062500 9175882776600000 11469853470750000 13763824164900000 15293137961000000 17204780206125000 22939706941500000 27527648329800000 34409560412250000 45879413883000000 68819120824500000 137638241649000000
- Sum of all divisors σ(n): 529188413146608384
- Sum of proper divisors (its aliquot sum) s(n): 391550171497608384
- 137638241649000000 is an abundant number, because the sum of its proper divisors (391550171497608384) is greater than itself. Its abundance is 253911929848608384
Bases of 137638241649000000
- Binary: 1111010001111110101000000011001001111111101111110010000002
- Hexadecimal: 0x1E8FD4064FF7E40
- Base-36: 11N8ONB7Q4W0
Squares and roots of 137638241649000000
- 137638241649000000 squared (1376382416490000002) is 18944285564228518239201000000000000
- 137638241649000000 cubed (1376382416490000003) is 2607458154356947103664351222682449000000000000000000
-
The
square root of 137638241649000000 is 370996282.5271972991 -
The
cube root of 137638241649000000 is 516312.9744645195
Scales and comparisons
How big is 137638241649000000?- 137,638,241,649,000,000 seconds is equal to 4,376,470,341 years, 20 weeks, 6 days, 20 hours.
-
To count from 1 to 137,638,241,649,000,000 would take you about thirteen billion, one hundred twenty-nine million, four hundred eleven thousand and twenty-four 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 137638241649000000 cubic inches would be around 43026.1 feet tall.
Recreational maths with 137638241649000000
- 137638241649000000 backwards is 000000946142836731
- The number of decimal digits it has is: 18
- The sum of 137638241649000000's digits is 54
- More coming soon!
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Cite this page
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"Number 137638241649000000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 137638241649000000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/137638241649000000/
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Numbermatics. 2024. "Number 137638241649000000 - Facts about the integer". https://numbermatics.com/n/137638241649000000/
The information we have on file for 137638241649000000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 137638241649000000, math, Factors of 137638241649000000, curriculum, school, college, exams, university, Prime factorization of 137638241649000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, six hundred thirty-eight trillion, two hundred forty-one billion, six hundred forty-nine million.