134516967728640000
134,516,967,728,640,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 134516967728640000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3640 divisors.
134516967728640000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, six hundred forty divisors.
Prime factorization of 134516967728640000:
212 × 3 × 54 × 76 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 53 × 53 × 53)See below for interesting mathematical facts about the number 134516967728640000 from the Numbermatics database.
Names of 134516967728640000
- Cardinal: 134516967728640000 can be written as One hundred thirty-four quadrillion, five hundred sixteen trillion, nine hundred sixty-seven billion, seven hundred twenty-eight million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.3451696772864 × 1017
Factors of 134516967728640000
Divisors of 134516967728640000
- Number of divisors d(n): 3640
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 53 56 60 64 70 75 80 84 96 98 100 105 106 112 120 125 128 140 147 150 159 160 168 175 192 196 200 210 212 224 240 245 250 256 265 280 294 300 318 320 336 343 350 371 375 384 392 400 420 424 448 480 490 500 512 525 530 560 588 600 625 636 640 672 686 700 735 742 750 768 784 795 800 840 848 875 896 960 980 1000 1024 1029 1050 1060 1113 1120 1176 1200 1225 1250 1272 1280 1325 1344 1372 1400 1470 1484 1500 1536 1568 1590 1600 1680 1696 1715 1750 1792 1855 1875 1920 1960 2000 2048 2058 2100 2120 2226 2240 2352 2400 2401 2450 2500 2544 2560 2597 2625 2650 2688 2744 2800 2809 2940 2968 3000 3072 3136 3180 3200 3360 3392 3430 3500 3584 3675 3710 3750 3840 3920 3975 4000 4096 4116 4200 4240 4375 4452 4480 4704 4800 4802 4900 5000 5088 5120 5145 5194 5250 5300 5376 5488 5565 5600 5618 5880 5936 6000 6125 6144 6272 6360 6400 6625 6720 6784 6860 7000 7168 7203 7350 7420 7500 7680 7791 7840 7950 8000 8232 8400 8427 8480 8575 8750 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1076135741829120 1120974731072000 1201044354720000 1269027997440000 1281113978368000 1345169677286400 1372622119680000 1401218413840000 1601392472960000 1681462096608000 1793559569715200 1921670967552000 2101827620760000 2241949462144000 2402088709440000 2538055994880000 2690339354572800 2745244239360000 2802436827680000 3202784945920000 3362924193216000 3843341935104000 4203655241520000 4483898924288000 4804177418880000 5380678709145600 5604873655360000 6405569891840000 6725848386432000 8407310483040000 8967797848576000 9608354837760000 11209747310720000 13451696772864000 16814620966080000 19216709675520000 22419494621440000 26903393545728000 33629241932160000 44838989242880000 67258483864320000 134516967728640000
- Sum of all divisors σ(n): 532945173207831120
- Sum of proper divisors (its aliquot sum) s(n): 398428205479191120
- 134516967728640000 is an abundant number, because the sum of its proper divisors (398428205479191120) is greater than itself. Its abundance is 263911237750551120
Bases of 134516967728640000
- Binary: 1110111011110011001111000001011011011101001110000000000002
- Hexadecimal: 0x1DDE6782DBA7000
- Base-36: 10SIA9V8G4QO
Squares and roots of 134516967728640000
- 134516967728640000 squared (1345169677286400002) is 18094814606907975200676249600000000
- 134516967728640000 cubed (1345169677286400003) is 2434059592533163787283612495347705708544000000000000
-
The
square root of 134516967728640000 is 366765548.7210324121 -
The
cube root of 134516967728640000 is 512380.2205628985
Scales and comparisons
How big is 134516967728640000?- 134,516,967,728,640,000 seconds is equal to 4,277,223,485 years, 24 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 134,516,967,728,640,000 would take you about twelve billion, eight hundred thirty-one million, six hundred seventy thousand, four hundred fifty-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 134516967728640000 cubic inches would be around 42698.4 feet tall.
Recreational maths with 134516967728640000
- 134516967728640000 backwards is 000046827769615431
- The number of decimal digits it has is: 18
- The sum of 134516967728640000's digits is 69
- More coming soon!
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"Number 134516967728640000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 134516967728640000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/134516967728640000/
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The information we have on file for 134516967728640000 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 134516967728640000, math, Factors of 134516967728640000, curriculum, school, college, exams, university, Prime factorization of 134516967728640000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-four quadrillion, five hundred sixteen trillion, nine hundred sixty-seven billion, seven hundred twenty-eight million, six hundred forty thousand.