48142074124800000
48,142,074,124,800,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 48142074124800000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3744 divisors.
48142074124800000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, seven hundred forty-four divisors.
Prime factorization of 48142074124800000:
212 × 33 × 55 × 233 × 1072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 23 × 23 × 23 × 107 × 107)See below for interesting mathematical facts about the number 48142074124800000 from the Numbermatics database.
Names of 48142074124800000
- Cardinal: 48142074124800000 can be written as Forty-eight quadrillion, one hundred forty-two trillion, seventy-four billion, one hundred twenty-four million, eight hundred thousand.
Scientific notation
- Scientific notation: 4.81420741248 × 1016
Factors of 48142074124800000
Divisors of 48142074124800000
- Number of divisors d(n): 3744
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 45 46 48 50 54 60 64 69 72 75 80 90 92 96 100 107 108 115 120 125 128 135 138 144 150 160 180 184 192 200 207 214 216 225 230 240 250 256 270 276 288 300 320 321 345 360 368 375 384 400 414 428 432 450 460 480 500 512 529 535 540 552 575 576 600 621 625 640 642 675 690 720 736 750 768 800 828 856 864 900 920 960 963 1000 1024 1035 1058 1070 1080 1104 1125 1150 1152 1200 1242 1250 1280 1284 1350 1380 1440 1472 1500 1536 1587 1600 1605 1656 1712 1725 1728 1800 1840 1875 1920 1926 2000 2048 2070 2116 2140 2160 2208 2250 2300 2304 2400 2461 2484 2500 2560 2568 2645 2675 2700 2760 2875 2880 2889 2944 3000 3072 3105 3125 3174 3200 3210 3312 3375 3424 3450 3456 3600 3680 3750 3840 3852 4000 4096 4140 4232 4280 4320 4416 4500 4600 4608 4761 4800 4815 4922 4968 5000 5120 5136 5175 5290 5350 5400 5520 5625 5750 5760 5778 5888 6000 6144 6210 6250 6348 6400 6420 6624 6750 6848 6900 6912 7200 7360 7383 7500 7680 7704 7935 8000 8025 8280 8464 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224962963200000 232570406400000 240710370624000 250739969400000 261641707200000 267455967360000 300887963280000 320947160832000 334319959200000 348855609600000 356607956480000 376109954100000 385136592998400 401183951040000 418626731520000 445759945600000 449925926400000 481420741248000 501479938800000 523283414400000 534911934720000 601775926560000 641894321664000 668639918400000 697711219200000 752219908200000 802367902080000 891519891200000 962841482496000 1002959877600000 1046566828800000 1069823869440000 1203551853120000 1337279836800000 1504439816400000 1604735804160000 1783039782400000 1925682964992000 2005919755200000 2093133657600000 2407103706240000 2674559673600000 3008879632800000 3209471608320000 4011839510400000 4814207412480000 5349119347200000 6017759265600000 8023679020800000 9628414824960000 12035518531200000 16047358041600000 24071037062400000 48142074124800000
- Sum of all divisors σ(n): 188131440479673600
- Sum of proper divisors (its aliquot sum) s(n): 139989366354873600
- 48142074124800000 is an abundant number, because the sum of its proper divisors (139989366354873600) is greater than itself. Its abundance is 91847292230073600
Bases of 48142074124800000
- Binary: 101010110000100011110110000110101111010110010000000000002
- Hexadecimal: 0xAB08F61AF59000
- Base-36: D60XVJADXC0
Squares and roots of 48142074124800000
- 48142074124800000 squared (481420741248000002) is 2317659301037737685975040000000000
- 48142074124800000 cubed (481420741248000003) is 111576925866590925240308801042644992000000000000000
-
The
square root of 48142074124800000 is 219413021.7758280639 -
The
cube root of 48142074124800000 is 363782.3290148009
Scales and comparisons
How big is 48142074124800000?- 48,142,074,124,800,000 seconds is equal to 1,530,769,043 years, 49 weeks, 5 days.
-
To count from 1 to 48,142,074,124,800,000 would take you about four billion, five hundred ninety-two million, three hundred seven thousand, one hundred thirty-one 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 48142074124800000 cubic inches would be around 30315.2 feet tall.
Recreational maths with 48142074124800000
- 48142074124800000 backwards is 00000842147024184
- 48142074124800000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48142074124800000's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 48142074124800000 - Facts about the integer. Retrieved 20 May 2024, from https://numbermatics.com/n/48142074124800000/
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The information we have on file for 48142074124800000 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 48142074124800000, math, Factors of 48142074124800000, curriculum, school, college, exams, university, Prime factorization of 48142074124800000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, one hundred forty-two trillion, seventy-four billion, one hundred twenty-four million, eight hundred thousand.