47997148320000
47,997,148,320,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 47997148320000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
47997148320000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 47997148320000:
28 × 33 × 54 × 11 × 292 × 1201
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 29 × 29 × 1201)See below for interesting mathematical facts about the number 47997148320000 from the Numbermatics database.
Names of 47997148320000
- Cardinal: 47997148320000 can be written as Forty-seven trillion, nine hundred ninety-seven billion, one hundred forty-eight million, three hundred twenty thousand.
Scientific notation
- Scientific notation: 4.799714832 × 1013
Factors of 47997148320000
Divisors of 47997148320000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 29 30 32 33 36 40 44 45 48 50 54 55 58 60 64 66 72 75 80 87 88 90 96 99 100 108 110 116 120 125 128 132 135 144 145 150 160 165 174 176 180 192 198 200 216 220 225 232 240 250 256 261 264 270 275 288 290 297 300 319 320 330 348 352 360 375 384 396 400 432 435 440 450 464 480 495 500 522 528 540 550 576 580 594 600 625 638 640 660 675 696 704 720 725 750 768 783 792 800 825 841 864 870 880 900 928 957 960 990 1000 1044 1056 1080 1100 1125 1152 1160 1188 1200 1201 1250 1276 1280 1305 1320 1350 1375 1392 1408 1440 1450 1485 1500 1566 1584 1595 1600 1650 1682 1728 1740 1760 1800 1856 1875 1914 1920 1980 2000 2088 2112 2160 2175 2200 2250 2304 2320 2376 2400 2402 2475 2500 2523 2552 2610 2640 2700 2750 2784 2816 2871 2880 2900 2970 3000 3132 3168 3190 3200 3300 3364 3375 3456 3480 3520 3600 3603 3625 3712 3750 3828 3840 3915 3960 4000 4125 4176 4205 4224 4320 4350 4400 4500 4640 4752 4785 4800 4804 4950 5000 5046 5104 5220 5280 5400 5500 5568 5625 5742 5760 5800 5940 6000 6005 6264 6336 6380 6400 6525 6600 6728 6750 6875 6912 6960 7040 7200 7206 7250 7424 7425 7500 7569 7656 7830 7920 7975 8000 8250 8352 8410 8448 8613 8640 8700 8800 9000 9251 9280 9504 9570 9600 9608 9900 10000 10092 10208 10440 10560 10800 10809 10875 11000 11136 11250 11484 11520 11600 11880 12000 12010 12375 12528 12615 12672 12760 13050 13200 13211 13456 13500 13750 13920 14080 14355 14400 14412 14500 14850 15000 15138 15312 15660 15840 15950 16000 16500 16704 16820 16875 17226 17280 17400 17600 18000 18015 18125 18502 18560 19008 19140 19200 19216 19575 19800 20000 20184 20416 20625 20880 21025 21120 21600 21618 21750 22000 22272 22500 22707 22968 23200 23760 23925 24000 24020 24750 25056 25230 25344 25520 26100 26400 26422 26912 27000 27500 27753 27840 28710 28800 28824 29000 29700 30000 30025 30276 30624 31320 31680 31900 32000 32427 32625 33000 33408 33640 33750 34452 34560 34800 34829 35200 36000 36030 36250 37004 37120 37125 37845 38016 38280 38432 39150 39600 39633 39875 40000 40368 40832 41250 41760 42050 42240 43065 43200 43236 43500 44000 45000 45414 45936 46255 46400 47520 47850 48000 48040 49500 50112 50460 51040 52200 52800 52844 53824 54000 54045 54375 55000 55506 55680 57420 57600 57648 58000 59400 60000 60050 60552 61248 61875 62640 63075 63360 63800 64854 65250 66000 66055 66816 67280 67500 68904 69600 69658 70400 71775 72000 72060 72500 74008 74250 75690 76032 76560 76864 78300 79200 79266 79750 80000 80736 81664 82500 83259 83520 84100 86130 86400 86472 87000 88000 90000 90075 90828 91872 92510 92800 95040 95700 96000 96080 97875 99000 100224 100920 102080 104400 104487 105125 105600 105688 107648 108000 108090 108750 110000 111012 111360 113535 114840 115296 116000 118800 118899 119625 120000 120100 121104 122496 123750 125280 126150 126720 127600 129708 130500 132000 132110 134560 135000 137808 138765 139200 139316 143550 144000 144120 145000 148016 148500 150125 151380 153120 153728 156600 158400 158532 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161606560000 165507408000 166656765000 174535084800 177767216000 181807380000 183897120000 187488860625 191988593280 199988118000 206884260000 213320659200 218168856000 222209020000 239985741600 242409840000 249985147500 266650824000 272711070000 275845680000 290891808000 299982177000 319980988800 331014816000 333313530000 355534432000 363614760000 374977721250 383977186560 399976236000 413768520000 436337712000 444418040000 479971483200 484819680000 499970295000 533301648000 545422140000 551691360000 599964354000 639961977600 666627060000 727229520000 749955442500 799952472000 827537040000 872675424000 888836080000 959942966400 999940590000 1066603296000 1090844280000 1199928708000 1333254120000 1454459040000 1499910885000 1599904944000 1655074080000 1777672160000 1919885932800 1999881180000 2181688560000 2399857416000 2666508240000 2999821770000 3199809888000 3999762360000 4363377120000 4799714832000 5333016480000 5999643540000 7999524720000 9599429664000 11999287080000 15999049440000 23998574160000 47997148320000
- Sum of all divisors σ(n): 200556062266560
- Sum of proper divisors (its aliquot sum) s(n): 152558913946560
- 47997148320000 is an abundant number, because the sum of its proper divisors (152558913946560) is greater than itself. Its abundance is 104561765626560
Bases of 47997148320000
- Binary: 10101110100111001101001111100111010001000000002
- Hexadecimal: 0x2BA734F9D100
- Base-36: H0HL2UYO0
Squares and roots of 47997148320000
- 47997148320000 squared (479971483200002) is 2303726246852078822400000000
- 47997148320000 cubed (479971483200003) is 110572290358836160339063738368000000000000
-
The
square root of 47997148320000 is 6927997.4249417847 -
The
cube root of 47997148320000 is 36341.6921414937
Scales and comparisons
How big is 47997148320000?- 47,997,148,320,000 seconds is equal to 1,526,160 years, 44 weeks, 2 days.
-
To count from 1 to 47,997,148,320,000 would take you about three million, eight hundred fifteen thousand, four hundred two 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 47997148320000 cubic inches would be around 3028.5 feet tall.
Recreational maths with 47997148320000
- 47997148320000 backwards is 00002384179974
- 47997148320000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 47997148320000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 47997148320000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/47997148320000/
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The information we have on file for 47997148320000 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!
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