328374828144000
328,374,828,144,000 is an even composite number composed of seven prime numbers multiplied together.
328374828144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 328374828144000:
27 × 34 × 53 × 11 × 292 × 61 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 29 × 29 × 61 × 449)See below for interesting mathematical facts about the number 328374828144000 from the Numbermatics database.
Names of 328374828144000
- Cardinal: 328374828144000 can be written as Three hundred twenty-eight trillion, three hundred seventy-four billion, eight hundred twenty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 3.28374828144 × 1014
Factors of 328374828144000
Divisors of 328374828144000
- Number of divisors d(n): 3840
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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 61 64 66 72 75 80 81 87 88 90 96 99 100 108 110 116 120 122 125 128 132 135 144 145 150 160 162 165 174 176 180 183 192 198 200 216 220 225 232 240 244 250 261 264 270 275 288 290 297 300 305 319 320 324 330 348 352 360 366 375 384 396 400 405 432 435 440 449 450 464 480 488 495 500 522 528 540 549 550 576 580 594 600 610 638 640 648 660 671 675 696 704 720 725 732 750 783 792 800 810 825 841 864 870 880 891 898 900 915 928 957 960 976 990 1000 1044 1056 1080 1098 1100 1125 1152 1160 1188 1200 1220 1276 1296 1305 1320 1342 1347 1350 1375 1392 1408 1440 1450 1464 1485 1500 1525 1566 1584 1595 1600 1620 1647 1650 1682 1728 1740 1760 1769 1782 1796 1800 1830 1856 1914 1920 1952 1980 2000 2013 2025 2088 2112 2160 2175 2196 2200 2245 2250 2320 2349 2376 2400 2440 2475 2523 2552 2592 2610 2640 2684 2694 2700 2745 2750 2784 2871 2880 2900 2928 2970 3000 3050 3132 3168 3190 3200 3240 3294 3300 3355 3364 3375 3456 3480 3520 3538 3564 3592 3600 3625 3660 3712 3828 3904 3915 3960 4000 4026 4041 4050 4125 4176 4205 4224 4320 4350 4392 4400 4455 4490 4500 4575 4640 4698 4752 4785 4800 4880 4939 4941 4950 5046 5104 5184 5220 5280 5307 5368 5388 5400 5490 5500 5568 5742 5760 5800 5856 5940 6000 6039 6100 6264 6336 6380 6480 6525 6588 6600 6710 6728 6735 6750 6960 7040 7076 7128 7184 7200 7250 7320 7425 7569 7625 7656 7808 7830 7920 7975 8000 8052 8082 8100 8235 8250 8352 8410 8613 8640 8700 8784 8800 8845 8910 8980 9000 9150 9251 9280 9396 9504 9570 9600 9760 9878 9882 9900 10065 10092 10125 10208 10368 10440 10560 10614 10736 10776 10800 10875 10980 11000 11136 11225 11484 11600 11712 11745 11880 12000 12078 12123 12200 12375 12528 12615 12672 12760 12960 13021 13050 13176 13200 13420 13456 13470 13500 13725 13920 14152 14256 14355 14368 14400 14500 14640 14817 14850 15138 15250 15312 15660 15840 15921 15950 16000 16104 16164 16200 16470 16500 16704 16775 16820 17226 17280 17400 17568 17600 17690 17820 17960 18000 18117 18300 18502 18560 18792 19008 19140 19459 19520 19575 19756 19764 19800 20130 20184 20205 20250 20416 20880 21025 21120 21228 21472 21552 21600 21750 21960 22000 22275 22450 22707 22875 22968 23200 23424 23490 23760 23925 24000 24156 24246 24400 24695 24705 24750 25056 25230 25520 25839 25920 26042 26100 26352 26400 26535 26840 26912 26940 27000 27389 27450 27753 27840 28304 28512 28710 28736 28800 29000 29280 29634 29700 30195 30276 30500 30624 31320 31680 31842 31900 32208 32328 32400 32625 32940 33000 33408 33550 33640 33675 34452 34800 35136 35200 35380 35640 35920 36000 36234 36369 36600 37004 37125 37584 37845 38016 38280 38918 39040 39063 39150 39512 39528 39600 39875 40260 40368 40410 40500 40832 41175 41760 42050 42456 42944 43065 43104 43200 43500 43920 44000 44225 44451 44550 44900 45414 45750 45936 46255 46400 46980 47520 47763 47850 48000 48312 48492 48800 49390 49410 49500 50112 50325 50460 51040 51301 51678 51840 52084 52200 52704 52800 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513085668975 514694088000 538319390400 547291380240 552819576000 566163496800 570095187750 597045142080 598132656000 608101533600 621922023000 629070552000 656749656288 663383491200 672899238000 684114225300 707704371000 729721840320 731347056000 746306427600 754884662400 760126917000 810802044800 820937070360 829229364000 855142781625 875666208384 897198984000 912152300400 932883034500 943605828000 995075236800 1013502556000 1026171337950 1029388176000 1076638780800 1094582760480 1105639152000 1132326993600 1140190375500 1194090284160 1216203067200 1243844046000 1258141104000 1313499312576 1345798476000 1368228450600 1415408742000 1459443680640 1492612855200 1520253834000 1641874140720 1658458728000 1710285563250 1794397968000 1824304600800 1865766069000 1887211656000 1990150473600 2027005112000 2052342675900 2189165520960 2264653987200 2280380751000 2432406134400 2487688092000 2565428344875 2626998625152 2691596952000 2736456901200 2830817484000 2985225710400 3040507668000 3283748281440 3316917456000 3420571126500 3648609201600 3731532138000 3774423312000 4054010224000 4104685351800 4378331041920 4560761502000 4975376184000 5130856689750 5383193904000 5472913802400 5661634968000 5970451420800 6081015336000 6567496562880 6841142253000 7297218403200 7463064276000 8209370703600 9121523004000 9950752368000 10261713379500 10945827604800 11323269936000 12162030672000 13134993125760 13682284506000 14926128552000 16418741407200 18243046008000 20523426759000 21891655209600 27364569012000 29852257104000 32837482814400 36486092016000 41046853518000 54729138024000 65674965628800 82093707036000 109458276048000 164187414072000 328374828144000
- Sum of all divisors σ(n): 1403633592504000
- Sum of proper divisors (its aliquot sum) s(n): 1075258764360000
- 328374828144000 is an abundant number, because the sum of its proper divisors (1075258764360000) is greater than itself. Its abundance is 746883936216000
Bases of 328374828144000
- Binary: 10010101010100111101110001111110000010101100000002
- Hexadecimal: 0x12AA7B8FC1580
- Base-36: 38EDBAAG00
Squares and roots of 328374828144000
- 328374828144000 squared (3283748281440002) is 107830027758601534484736000000
- 328374828144000 cubed (3283748281440003) is 35408666833993528404199873591209984000000000
-
The
square root of 328374828144000 is 18121115.5325493137 -
The
cube root of 328374828144000 is 68990.6049060699
Scales and comparisons
How big is 328374828144000?- 328,374,828,144,000 seconds is equal to 10,441,303 years, 41 weeks, 6 days.
-
To count from 1 to 328,374,828,144,000 would take you about twenty-six million, one hundred three thousand, two hundred fifty-nine 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 328374828144000 cubic inches would be around 5749.2 feet tall.
Recreational maths with 328374828144000
- 328374828144000 backwards is 000441828473823
- 328374828144000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 328374828144000's digits is 54
- More coming soon!
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"Number 328374828144000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 328374828144000 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/328374828144000/
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The information we have on file for 328374828144000 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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