480330948240000
480,330,948,240,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 480330948240000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 7680 divisors.
480330948240000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven thousand, six hundred eighty divisors.
Prime factorization of 480330948240000:
27 × 33 × 54 × 11 × 132 × 37 × 53 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 13 × 13 × 37 × 53 × 61)See below for interesting mathematical facts about the number 480330948240000 from the Numbermatics database.
Names of 480330948240000
- Cardinal: 480330948240000 can be written as Four hundred eighty trillion, three hundred thirty billion, nine hundred forty-eight million, two hundred forty thousand.
Scientific notation
- Scientific notation: 4.8033094824 × 1014
Factors of 480330948240000
Divisors of 480330948240000
- Number of divisors d(n): 7680
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 37 39 40 44 45 48 50 52 53 54 55 60 61 64 65 66 72 74 75 78 80 88 90 96 99 100 104 106 108 110 111 117 120 122 125 128 130 132 135 143 144 148 150 156 159 160 165 169 176 180 183 185 192 195 198 200 208 212 216 220 222 225 234 240 244 250 260 264 265 270 275 286 288 296 297 300 305 312 318 320 325 330 333 338 351 352 360 366 370 375 384 390 396 400 407 416 424 429 432 440 444 450 468 477 480 481 488 495 500 507 520 528 530 540 549 550 555 572 576 583 585 592 594 600 610 624 625 636 640 650 660 666 671 675 676 689 702 704 715 720 732 740 750 780 792 793 795 800 814 825 832 845 848 858 864 880 888 900 915 925 936 954 960 962 975 976 990 999 1000 1014 1040 1056 1060 1080 1098 1100 1110 1125 1144 1152 1166 1170 1184 1188 1200 1220 1221 1248 1250 1272 1287 1300 1320 1325 1332 1342 1350 1352 1375 1378 1404 1408 1430 1431 1440 1443 1464 1480 1485 1500 1521 1525 1560 1584 1586 1590 1600 1625 1628 1647 1650 1664 1665 1690 1696 1716 1728 1749 1755 1760 1776 1800 1830 1850 1859 1872 1875 1908 1920 1924 1950 1952 1961 1980 1998 2000 2013 2028 2035 2067 2080 2112 2120 2145 2160 2196 2200 2220 2250 2257 2288 2332 2340 2368 2376 2379 2385 2400 2405 2440 2442 2475 2496 2500 2535 2544 2574 2600 2640 2650 2664 2684 2700 2704 2745 2750 2756 2775 2808 2860 2862 2880 2886 2915 2925 2928 2960 2970 3000 3042 3050 3120 3168 3172 3180 3200 3233 3250 3256 3294 3300 3330 3355 3375 3380 3392 3432 3445 3456 3498 3510 3520 3552 3575 3600 3660 3663 3700 3718 3744 3750 3816 3848 3861 3900 3904 3922 3960 3965 3975 3996 4000 4026 4056 4070 4125 4134 4160 4224 4225 4240 4290 4320 4329 4392 4400 4440 4500 4514 4563 4575 4576 4625 4664 4680 4736 4752 4758 4770 4800 4810 4875 4880 4884 4950 4992 4995 5000 5070 5088 5148 5200 5247 5280 5291 5300 5328 5368 5400 5408 5490 5500 5512 5550 5577 5616 5625 5720 5724 5760 5772 5830 5850 5856 5883 5920 5940 6000 6039 6084 6100 6105 6201 6240 6253 6336 6344 6360 6435 6466 6500 6512 6588 6600 6625 6660 6710 6750 6760 6771 6784 6864 6875 6890 6996 7020 7040 7104 7137 7150 7155 7200 7215 7320 7326 7400 7425 7436 7488 7500 7579 7605 7625 7632 7696 7722 7800 7808 7844 7920 7930 7950 7992 8000 8052 8112 8125 8140 8235 8250 8268 8320 8325 8450 8480 8580 8640 8658 8723 8745 8775 8784 8800 8880 8957 9000 9028 9126 9150 9152 9250 9295 9328 9360 9504 9516 9540 9600 9620 9699 9750 9760 9768 9805 9900 9990 10000 10065 10140 10175 10176 10296 10309 10335 10400 10494 10560 10582 10600 10656 10725 10736 10800 10816 10980 10989 11000 11024 11100 11154 11232 11250 11285 11440 11448 11544 11660 11700 11712 11766 11840 11880 11895 11925 12000 12025 12078 12168 12200 12210 12375 12402 12480 12506 12672 12675 12688 12720 12870 12932 12987 13000 13024 13176 13200 13250 13320 13420 13500 13520 13542 13725 13728 13750 13780 13875 13992 14040 14208 14274 14300 14310 14400 14430 14575 14625 14640 14652 14800 14850 14872 14976 15000 15158 15210 15250 15264 15392 15444 15600 15688 15741 15840 15860 15873 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3358957680000 3558007024000 3638870820000 3694853448000 3752585533125 3842647585920 3937138920000 4002757902000 4105392720000 4327305840000 4366644984000 4447508780000 4531424040000 4618566810000 4803309482400 4851827760000 5003447377500 5337010536000 5458306230000 6004136853000 6158089080000 6404412643200 6490958760000 6671263170000 7277741640000 7389706896000 7505171066250 7874277840000 8005515804000 8733289968000 8895017560000 9062848080000 9237133620000 9606618964800 10006894755000 10674021072000 10916612460000 12008273706000 12316178160000 12981917520000 13342526340000 14555483280000 15010342132500 16011031608000 17790035120000 18474267240000 19213237929600 20013789510000 21833224920000 24016547412000 26685052680000 30020684265000 32022063216000 36948534480000 40027579020000 43666449840000 48033094824000 53370105360000 60041368530000 80055158040000 96066189648000 120082737060000 160110316080000 240165474120000 480330948240000
- Sum of all divisors σ(n): 2225628056044800
- Sum of proper divisors (its aliquot sum) s(n): 1745297107804800
- 480330948240000 is an abundant number, because the sum of its proper divisors (1745297107804800) is greater than itself. Its abundance is 1264966159564800
Bases of 480330948240000
- Binary: 11011010011011011110000111000101101100010100000002
- Hexadecimal: 0x1B4DBC38B6280
- Base-36: 4Q9GZOSYO0
Squares and roots of 480330948240000
- 480330948240000 squared (4803309482400002) is 230717819837137559097600000000
- 480330948240000 cubed (4803309482400003) is 110820909178237766128669246708224000000000000
-
The
square root of 480330948240000 is 21916453.8244671327 -
The
cube root of 480330948240000 is 78315.3433914875
Scales and comparisons
How big is 480330948240000?- 480,330,948,240,000 seconds is equal to 15,273,038 years, 20 weeks, 3 days.
-
To count from 1 to 480,330,948,240,000 would take you about thirty-eight million, one hundred eighty-two thousand, five hundred ninety-five 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 480330948240000 cubic inches would be around 6526.3 feet tall.
Recreational maths with 480330948240000
- 480330948240000 backwards is 000042849033084
- 480330948240000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 480330948240000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 480330948240000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 480330948240000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/480330948240000/
Chicago style:
Numbermatics. 2024. "Number 480330948240000 - Facts about the integer". https://numbermatics.com/n/480330948240000/
The information we have on file for 480330948240000 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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