47142173456640000
47,142,173,456,640,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 47142173456640000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5400 divisors.
47142173456640000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, four hundred divisors.
Prime factorization of 47142173456640000:
211 × 34 × 54 × 292 × 53 × 1012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 29 × 29 × 53 × 101 × 101)See below for interesting mathematical facts about the number 47142173456640000 from the Numbermatics database.
Names of 47142173456640000
- Cardinal: 47142173456640000 can be written as Forty-seven quadrillion, one hundred forty-two trillion, one hundred seventy-three billion, four hundred fifty-six million, six hundred forty thousand.
Scientific notation
- Scientific notation: 4.714217345664 × 1016
Factors of 47142173456640000
Divisors of 47142173456640000
- Number of divisors d(n): 5400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 53 54 58 60 64 72 75 80 81 87 90 96 100 101 106 108 116 120 125 128 135 144 145 150 159 160 162 174 180 192 200 202 212 216 225 232 240 250 256 261 265 270 288 290 300 303 318 320 324 348 360 375 384 400 404 405 424 432 435 450 464 477 480 500 505 512 522 530 540 576 580 600 606 625 636 640 648 675 696 720 725 750 768 783 795 800 808 810 841 848 864 870 900 909 928 954 960 1000 1010 1024 1044 1060 1080 1125 1152 1160 1200 1212 1250 1272 1280 1296 1305 1325 1350 1392 1431 1440 1450 1500 1515 1536 1537 1566 1590 1600 1616 1620 1682 1696 1728 1740 1800 1818 1856 1875 1908 1920 2000 2020 2025 2048 2088 2120 2160 2175 2250 2304 2320 2349 2385 2400 2424 2500 2523 2525 2544 2560 2592 2610 2650 2700 2727 2784 2862 2880 2900 2929 3000 3030 3072 3074 3132 3180 3200 3232 3240 3364 3375 3392 3456 3480 3600 3625 3636 3712 3750 3816 3840 3915 3975 4000 4040 4050 4176 4205 4240 4293 4320 4350 4500 4545 4608 4611 4640 4698 4770 4800 4848 5000 5046 5050 5088 5120 5184 5220 5300 5353 5400 5454 5568 5625 5724 5760 5800 5858 6000 6060 6144 6148 6264 6360 6400 6464 6480 6525 6625 6728 6750 6784 6912 6960 7155 7200 7250 7272 7424 7500 7569 7575 7632 7680 7685 7830 7950 8000 8080 8100 8181 8352 8410 8480 8586 8640 8700 8787 9000 9090 9216 9222 9280 9396 9540 9600 9696 10000 10092 10100 10125 10176 10201 10240 10368 10440 10600 10706 10800 10875 10908 11136 11250 11448 11520 11600 11716 11745 11925 12000 12120 12296 12528 12615 12625 12720 12800 12928 12960 13050 13250 13456 13500 13568 13635 13824 13833 13920 14310 14400 14500 14544 14645 14848 15000 15138 15150 15264 15360 15370 15660 15900 16000 16059 16160 16200 16362 16704 16820 16875 16960 17172 17280 17400 17574 18000 18125 18180 18432 18444 18560 18792 19080 19200 19392 19575 19875 20000 20184 20200 20250 20352 20402 20736 20880 21025 21200 21412 21465 21600 21750 21816 22272 22500 22707 22725 22896 23040 23055 23200 23432 23490 23850 24000 24240 24592 25056 25230 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2357108672832000 2619009636480000 2946385841040000 3142811563776000 3928514454720000 4714217345664000 5238019272960000 5892771682080000 7857028909440000 9428434691328000 11785543364160000 15714057818880000 23571086728320000 47142173456640000
- Sum of all divisors σ(n): 187527914971086690
- Sum of proper divisors (its aliquot sum) s(n): 140385741514446690
- 47142173456640000 is an abundant number, because the sum of its proper divisors (140385741514446690) is greater than itself. Its abundance is 93243568057806690
Bases of 47142173456640000
- Binary: 101001110111101110001110100101101101001010101000000000002
- Hexadecimal: 0xA77B8E96D2A800
- Base-36: CW6I7ID8G00
Squares and roots of 47142173456640000
- 47142173456640000 squared (471421734566400002) is 2222384518215932965960089600000000
- 47142173456640000 cubed (471421734566400003) is 104768036445086829635817284594716114944000000000000
-
The
square root of 47142173456640000 is 217122484.9172466523 -
The
cube root of 47142173456640000 is 361246.1277277549
Scales and comparisons
How big is 47142173456640000?- 47,142,173,456,640,000 seconds is equal to 1,498,975,295 years, 31 weeks, 3 days.
-
To count from 1 to 47,142,173,456,640,000 would take you about four billion, four hundred ninety-six million, nine hundred twenty-five thousand, eight hundred eighty-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 47142173456640000 cubic inches would be around 30103.8 feet tall.
Recreational maths with 47142173456640000
- 47142173456640000 backwards is 00004665437124174
- 47142173456640000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 47142173456640000's digits is 54
- More coming soon!
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Cite this page
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"Number 47142173456640000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 47142173456640000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/47142173456640000/
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Numbermatics. 2024. "Number 47142173456640000 - Facts about the integer". https://numbermatics.com/n/47142173456640000/
The information we have on file for 47142173456640000 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 47142173456640000, math, Factors of 47142173456640000, curriculum, school, college, exams, university, Prime factorization of 47142173456640000, STEM, science, technology, engineering, physics, economics, calculator, forty-seven quadrillion, one hundred forty-two trillion, one hundred seventy-three billion, four hundred fifty-six million, six hundred forty thousand.