328980148224000
328,980,148,224,000 is an even composite number composed of seven prime numbers multiplied together.
328980148224000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, six hundred eight divisors.
Prime factorization of 328980148224000:
215 × 3 × 53 × 72 × 132 × 53 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 53 × 61)See below for interesting mathematical facts about the number 328980148224000 from the Numbermatics database.
Names of 328980148224000
- Cardinal: 328980148224000 can be written as Three hundred twenty-eight trillion, nine hundred eighty billion, one hundred forty-eight million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 3.28980148224 × 1014
Factors of 328980148224000
Divisors of 328980148224000
- Number of divisors d(n): 4608
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 53 56 60 61 64 65 70 75 78 80 84 91 96 98 100 104 105 106 112 120 122 125 128 130 140 147 150 156 159 160 168 169 175 182 183 192 195 196 200 208 210 212 224 240 244 245 250 256 260 265 273 280 294 300 305 312 318 320 325 336 338 350 364 366 371 375 384 390 392 400 416 420 424 427 448 455 480 488 490 500 507 512 520 525 530 546 560 588 600 610 624 636 637 640 650 672 676 689 700 728 732 735 742 750 768 780 784 793 795 800 832 840 845 848 854 875 896 910 915 960 975 976 980 1000 1014 1024 1040 1050 1060 1092 1113 1120 1176 1183 1200 1220 1225 1248 1272 1274 1280 1281 1300 1325 1344 1352 1365 1378 1400 1456 1464 1470 1484 1500 1525 1536 1560 1568 1586 1590 1600 1625 1664 1680 1690 1696 1708 1750 1792 1820 1830 1855 1911 1920 1950 1952 1960 2000 2028 2048 2067 2080 2100 2120 2135 2184 2226 2240 2275 2352 2366 2379 2400 2440 2450 2496 2535 2544 2548 2560 2562 2597 2600 2625 2650 2688 2704 2730 2756 2800 2912 2928 2940 2968 2989 3000 3050 3072 3120 3136 3172 3180 3185 3200 3233 3250 3328 3360 3380 3392 3416 3445 3500 3549 3584 3640 3660 3675 3710 3822 3840 3900 3904 3920 3965 3975 4000 4056 4096 4134 4160 4200 4225 4240 4270 4368 4452 4480 4550 4575 4704 4732 4758 4800 4823 4875 4880 4900 4992 5070 5088 5096 5120 5124 5194 5200 5250 5300 5376 5408 5460 5512 5551 5565 5600 5824 5856 5880 5915 5936 5978 6000 6100 6125 6144 6240 6272 6344 6360 6370 6400 6405 6466 6500 6625 6656 6720 6760 6784 6825 6832 6890 7000 7098 7168 7280 7320 7350 7420 7625 7644 7680 7791 7800 7808 7840 7930 7950 8000 8112 8192 8268 8281 8320 8400 8450 8480 8540 8736 8904 8957 8960 8967 9100 9150 9275 9408 9464 9516 9555 9600 9646 9699 9750 9760 9800 9984 10140 10176 10192 10240 10248 10309 10335 10388 10400 10500 10600 10675 10752 10816 10920 11024 11102 11130 11200 11375 11648 11712 11760 11830 11872 11895 11956 12000 12200 12250 12288 12480 12544 12675 12688 12720 12740 12800 12810 12932 12985 13000 13250 13312 13440 13520 13568 13650 13664 13780 14000 14196 14336 14469 14560 14640 14700 14840 14945 15250 15288 15360 15582 15600 15616 15680 15860 15900 15925 16000 16165 16224 16384 16536 16562 16640 16653 16800 16900 16960 17080 17225 17472 17745 17808 17914 17920 17934 18200 18300 18375 18550 18816 18928 19032 19110 19200 19292 19398 19500 19520 19600 19825 19875 19968 20280 20352 20384 20480 20496 20618 20670 20776 20800 21000 21125 21200 21350 21504 21632 21840 22048 22204 22260 22400 22631 22750 22875 23296 23424 23520 23660 23744 23790 23912 24000 24115 24400 24500 24576 24843 24960 25088 25350 25376 25440 25480 25600 25620 25864 25970 26000 26500 26624 26871 26880 27040 27136 27300 27328 27560 27755 27825 28000 28392 28672 28938 29120 29280 29400 29575 29680 29890 30500 30576 30720 30927 31164 31200 31232 31360 31720 31800 31850 32000 32025 32330 32448 32768 33072 33124 33280 33306 33600 33761 33800 33920 34125 34160 34450 34944 35490 35616 35828 35840 35868 36400 36600 36750 37100 37632 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6853753088000 7832860672000 8224503705600 8435388416000 9399432806400 10280629632000 10966004940800 11749291008000 12653082624000 13159205928960 13707506176000 15665721344000 16449007411200 20561259264000 21932009881600 23498582016000 25306165248000 27415012352000 32898014822400 41122518528000 46997164032000 54830024704000 65796029644800 82245037056000 109660049408000 164490074112000 328980148224000
- Sum of all divisors σ(n): 1428135083593920
- Sum of proper divisors (its aliquot sum) s(n): 1099154935369920
- 328980148224000 is an abundant number, because the sum of its proper divisors (1099154935369920) is greater than itself. Its abundance is 770174787145920
Bases of 328980148224000
- Binary: 10010101100110100101010001101111110000000000000002
- Hexadecimal: 0x12B34A8DF8000
- Base-36: 38M3E68IYO
Squares and roots of 328980148224000
- 328980148224000 squared (3289801482240002) is 108227937925485010354176000000
- 328980148224000 cubed (3289801482240003) is 35604843060703929773406995217383424000000000
-
The
square root of 328980148224000 is 18137809.9070422501 -
The
cube root of 328980148224000 is 69032.9708858601
Scales and comparisons
How big is 328980148224000?- 328,980,148,224,000 seconds is equal to 10,460,551 years, 5 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 328,980,148,224,000 would take you about twenty-six million, one hundred fifty-one thousand, three hundred seventy-seven 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 328980148224000 cubic inches would be around 5752.7 feet tall.
Recreational maths with 328980148224000
- 328980148224000 backwards is 000422841089823
- The number of decimal digits it has is: 15
- The sum of 328980148224000's digits is 51
- More coming soon!
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Cite this page
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The information we have on file for 328980148224000 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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