1328409709440000
1,328,409,709,440,000 is an even composite number composed of seven prime numbers multiplied together.
1328409709440000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, nine hundred sixty divisors.
Prime factorization of 1328409709440000:
210 × 3 × 54 × 112 × 29 × 37 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 11 × 11 × 29 × 37 × 73 × 73)See below for interesting mathematical facts about the number 1328409709440000 from the Numbermatics database.
Names of 1328409709440000
- Cardinal: 1328409709440000 can be written as One quadrillion, three hundred twenty-eight trillion, four hundred nine billion, seven hundred nine million, four hundred forty thousand.
Scientific notation
- Scientific notation: 1.32840970944 × 1015
Factors of 1328409709440000
Divisors of 1328409709440000
- Number of divisors d(n): 3960
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 29 30 32 33 37 40 44 48 50 55 58 60 64 66 73 74 75 80 87 88 96 100 110 111 116 120 121 125 128 132 145 146 148 150 160 165 174 176 185 192 200 219 220 222 232 240 242 250 256 264 275 290 292 296 300 319 320 330 348 352 363 365 370 375 384 400 407 435 438 440 444 464 480 484 500 512 528 550 555 580 584 592 600 605 625 638 640 660 696 704 725 726 730 740 750 768 800 803 814 825 870 876 880 888 925 928 957 960 968 1000 1024 1056 1073 1095 1100 1110 1160 1168 1184 1200 1210 1221 1250 1276 1280 1320 1375 1392 1408 1450 1452 1460 1480 1500 1536 1595 1600 1606 1628 1650 1740 1752 1760 1776 1815 1825 1850 1856 1875 1914 1920 1936 2000 2035 2112 2117 2146 2175 2190 2200 2220 2320 2336 2368 2400 2409 2420 2442 2500 2552 2560 2640 2701 2750 2775 2784 2816 2900 2904 2920 2960 3000 3025 3072 3190 3200 3212 3219 3256 3300 3480 3504 3509 3520 3552 3625 3630 3650 3700 3712 3750 3828 3840 3872 4000 4015 4070 4125 4224 4234 4292 4350 4380 4400 4440 4477 4625 4640 4672 4736 4785 4800 4818 4840 4884 5000 5104 5120 5280 5329 5365 5402 5475 5500 5550 5568 5632 5800 5808 5840 5920 6000 6050 6105 6351 6380 6400 6424 6438 6512 6600 6875 6960 7008 7018 7040 7104 7250 7260 7300 7400 7424 7500 7656 7680 7744 7975 8000 8030 8103 8140 8250 8448 8468 8584 8700 8760 8800 8833 8880 8954 9075 9125 9250 9280 9344 9472 9570 9600 9636 9680 9768 10000 10175 10208 10527 10560 10585 10658 10730 10804 10875 10950 11000 11100 11136 11264 11600 11616 11680 11803 11840 12000 12045 12100 12210 12702 12760 12800 12848 12876 13024 13200 13431 13505 13750 13875 13920 14016 14036 14080 14208 14500 14520 14600 14800 14848 15000 15125 15312 15360 15488 15950 15987 16000 16060 16095 16206 16280 16500 16896 16936 17168 17400 17520 17545 17600 17666 17760 17908 18125 18150 18250 18500 18560 18688 18944 19140 19200 19272 19360 19536 20000 20075 20350 20416 20625 21054 21120 21170 21316 21460 21608 21750 21900 22000 22200 22272 22385 23125 23200 23232 23287 23360 23606 23680 23925 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- Sum of all divisors σ(n): 5238661386808080
- Sum of proper divisors (its aliquot sum) s(n): 3910251677368080
- 1328409709440000 is an abundant number, because the sum of its proper divisors (3910251677368080) is greater than itself. Its abundance is 2581841967928080
Bases of 1328409709440000
- Binary: 1001011100000101110011111001101100011101100000000002
- Hexadecimal: 0x4B82E7CD8EC00
- Base-36: D2VQZUH7UO
Squares and roots of 1328409709440000
- 1328409709440000 squared (13284097094400002) is 1764672356134465225113600000000
- 1328409709440000 cubed (13284097094400003) is 2344207891869385151262941566992384000000000000
-
The
square root of 1328409709440000 is 36447355.3147550063 -
The
cube root of 1328409709440000 is 109928.5957928097
Scales and comparisons
How big is 1328409709440000?- 1,328,409,709,440,000 seconds is equal to 42,239,319 years, 37 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 1,328,409,709,440,000 would take you about one hundred twenty-six million, seven hundred seventeen thousand, nine 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 1328409709440000 cubic inches would be around 9160.7 feet tall.
Recreational maths with 1328409709440000
- 1328409709440000 backwards is 0000449079048231
- The number of decimal digits it has is: 16
- The sum of 1328409709440000's digits is 51
- More coming soon!
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MLA style:
"Number 1328409709440000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 1328409709440000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/1328409709440000/
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Numbermatics. 2024. "Number 1328409709440000 - Facts about the integer". https://numbermatics.com/n/1328409709440000/
The information we have on file for 1328409709440000 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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