42728243608125000
42,728,243,608,125,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42728243608125000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
42728243608125000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 42728243608125000:
23 × 32 × 57 × 29 × 41 × 53 × 149 × 809
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 29 × 41 × 53 × 149 × 809)See below for interesting mathematical facts about the number 42728243608125000 from the Numbermatics database.
Names of 42728243608125000
- Cardinal: 42728243608125000 can be written as Forty-two quadrillion, seven hundred twenty-eight trillion, two hundred forty-three billion, six hundred eight million, one hundred twenty-five thousand.
Scientific notation
- Scientific notation: 4.2728243608125 × 1016
Factors of 42728243608125000
Divisors of 42728243608125000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 29 30 36 40 41 45 50 53 58 60 72 75 82 87 90 100 106 116 120 123 125 145 149 150 159 164 174 180 200 205 212 225 232 246 250 261 265 290 298 300 318 328 348 360 369 375 410 424 435 447 450 477 492 500 522 530 580 596 600 615 625 636 696 725 738 745 750 795 809 820 870 894 900 954 984 1000 1025 1044 1060 1125 1160 1189 1192 1230 1250 1272 1305 1325 1341 1450 1476 1490 1500 1537 1590 1618 1640 1740 1788 1800 1845 1875 1908 2050 2088 2120 2173 2175 2235 2250 2378 2385 2427 2460 2500 2610 2650 2682 2900 2952 2980 3000 3074 3075 3125 3180 3236 3480 3567 3576 3625 3690 3725 3750 3816 3975 4045 4100 4321 4346 4350 4470 4500 4611 4756 4770 4854 4920 5000 5125 5220 5300 5364 5625 5800 5945 5960 6109 6148 6150 6250 6360 6472 6519 6525 6625 6705 7134 7250 7281 7380 7450 7500 7685 7897 7950 8090 8200 8642 8692 8700 8940 9000 9222 9225 9375 9512 9540 9708 10250 10440 10600 10701 10728 10865 10875 11175 11250 11890 11925 12135 12218 12296 12300 12500 12963 13038 13050 13250 13410 13833 14268 14500 14562 14760 14900 15000 15370 15375 15625 15794 15900 16180 17284 17384 17400 17835 17880 18125 18327 18444 18450 18625 18750 19080 19416 19557 19875 20225 20500 21402 21605 21730 21750 22350 22500 23055 23461 23691 23780 23850 24270 24436 24600 25000 25625 25926 26076 26100 26500 26820 27666 28125 28536 29000 29124 29725 29800 30545 30740 30750 31250 31588 31800 32360 32595 32625 33125 33169 33525 34568 35670 36250 36405 36654 36888 36900 37250 37500 38425 38889 39114 39485 39750 40450 41000 42804 42877 43210 43460 43500 44700 45000 46110 46125 46875 46922 47382 47560 47700 48540 48872 51250 51852 52152 52200 53000 53505 53640 54325 54375 54981 55332 55875 56250 58248 59450 59625 60675 61090 61480 61500 62500 63017 63176 64815 65190 65250 66250 66338 67050 69165 70383 71073 71340 72500 72810 73308 73800 74500 75000 76850 76875 77778 78125 78228 78970 79500 80900 85608 85754 86420 86920 87000 89175 89400 90625 91635 92220 92250 93125 93750 93844 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69476818875000 71213739346875 71691683906250 73669385531250 80619327562500 81854872812500 85456487216250 86846023593750 89577030625000 94951652462500 95588911875000 98225847375000 100774159453125 104215228312500 113941982955000 115794698125000 118689565578125 122782309218750 130269035390625 134365545937500 142427478693750 143383367812500 147338771062500 161238655125000 163709745625000 170912974432500 173692047187500 184173463828125 189903304925000 201548318906250 208430456625000 213641218040625 237379131156250 245564618437500 260538070781250 268731091875000 284854957387500 286766735625000 294677542125000 341825948865000 347384094375000 356068696734375 368346927656250 403096637812500 427282436081250 474758262312500 491129236875000 521076141562500 569709914775000 593447827890625 712137393468750 736693855312500 806193275625000 854564872162500 949516524625000 1042152283125000 1068206090203125 1186895655781250 1424274786937500 1473387710625000 1709129744325000 1780343483671875 2136412180406250 2373791311562500 2848549573875000 3560686967343750 4272824360812500 4747582623125000 5341030451015625 7121373934687500 8545648721625000 10682060902031250 14242747869375000 21364121804062500 42728243608125000
- Sum of all divisors σ(n): 157425153631200000
- Sum of proper divisors (its aliquot sum) s(n): 114696910023075000
- 42728243608125000 is an abundant number, because the sum of its proper divisors (114696910023075000) is greater than itself. Its abundance is 71968666414950000
Bases of 42728243608125000
- Binary: 100101111100110100011100011101100010001101111110010010002
- Hexadecimal: 0x97CD1C76237E48
- Base-36: BOPWC4PPXE0
Squares and roots of 42728243608125000
- 42728243608125000 squared (427282436081250002) is 1825702801835274918566015625000000
- 42728243608125000 cubed (427282436081250003) is 78009074072853989058370487019755126953125000000000
-
The
square root of 42728243608125000 is 206708112.1004325751 -
The
cube root of 42728243608125000 is 349600.2063818831
Scales and comparisons
How big is 42728243608125000?- 42,728,243,608,125,000 seconds is equal to 1,358,625,979 years, 31 weeks, 2 days, 12 hours, 30 minutes.
-
To count from 1 to 42,728,243,608,125,000 would take you about four billion, seventy-five million, eight hundred seventy-seven thousand, nine hundred thirty-eight 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 42728243608125000 cubic inches would be around 29133.4 feet tall.
Recreational maths with 42728243608125000
- 42728243608125000 backwards is 00052180634282724
- The number of decimal digits it has is: 17
- The sum of 42728243608125000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 42728243608125000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 42728243608125000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/42728243608125000/
Chicago style:
Numbermatics. 2024. "Number 42728243608125000 - Facts about the integer". https://numbermatics.com/n/42728243608125000/
The information we have on file for 42728243608125000 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 42728243608125000, math, Factors of 42728243608125000, curriculum, school, college, exams, university, Prime factorization of 42728243608125000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, seven hundred twenty-eight trillion, two hundred forty-three billion, six hundred eight million, one hundred twenty-five thousand.