1328823808000
1,328,823,808,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 1328823808000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 416 divisors.
1328823808000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred sixteen divisors.
Prime factorization of 1328823808000:
212 × 53 × 13 × 181 × 1103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 181 × 1103)See below for interesting mathematical facts about the number 1328823808000 from the Numbermatics database.
Names of 1328823808000
- Cardinal: 1328823808000 can be written as One trillion, three hundred twenty-eight billion, eight hundred twenty-three million, eight hundred eight thousand.
Scientific notation
- Scientific notation: 1.328823808 × 1012
Factors of 1328823808000
Divisors of 1328823808000
- Number of divisors d(n): 416
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 181 200 208 250 256 260 320 325 362 400 416 500 512 520 640 650 724 800 832 905 1000 1024 1040 1103 1280 1300 1448 1600 1625 1664 1810 2000 2048 2080 2206 2353 2560 2600 2896 3200 3250 3328 3620 4000 4096 4160 4412 4525 4706 5120 5200 5515 5792 6400 6500 6656 7240 8000 8320 8824 9050 9412 10240 10400 11030 11584 11765 12800 13000 13312 14339 14480 16000 16640 17648 18100 18824 20480 20800 22060 22625 23168 23530 25600 26000 26624 27575 28678 28960 32000 33280 35296 36200 37648 41600 44120 45250 46336 47060 51200 52000 53248 55150 57356 57920 58825 64000 66560 70592 71695 72400 75296 83200 88240 90500 92672 94120 102400 104000 110300 114712 115840 117650 128000 133120 137875 141184 143390 144800 150592 166400 176480 181000 185344 188240 199643 208000 220600 229424 231680 235300 256000 266240 275750 282368 286780 289600 294125 301184 332800 352960 358475 362000 370688 376480 399286 416000 441200 458848 463360 470600 512000 551500 564736 573560 579200 588250 602368 665600 705920 716950 724000 741376 752960 798572 832000 882400 917696 926720 941200 998215 1103000 1129472 1147120 1158400 1176500 1204736 1331200 1411840 1433900 1448000 1505920 1597144 1664000 1764800 1792375 1835392 1853440 1882400 1996430 2206000 2258944 2294240 2316800 2353000 2409472 2595359 2823680 2867800 2896000 3011840 3194288 3328000 3529600 3584750 3670784 3706880 3764800 3992860 4412000 4517888 4588480 4633600 4706000 4818944 4991075 5190718 5647360 5735600 5792000 6023680 6388576 6656000 7059200 7169500 7341568 7529600 7985720 8824000 9176960 9267200 9412000 9637888 9982150 10381436 11294720 11471200 11584000 12047360 12777152 12976795 14118400 14339000 14683136 15059200 15971440 17648000 18353920 18534400 18824000 19964300 20762872 22589440 22942400 23168000 24094720 24955375 25554304 25953590 28236800 28678000 29366272 30118400 31942880 35296000 36707840 37648000 39928600 41525744 45884800 46336000 48189440 49910750 51108608 51907180 56473600 57356000 58732544 60236800 63885760 64883975 70592000 73415680 75296000 79857200 83051488 91769600 92672000 99821500 102217216 103814360 112947200 114712000 120473600 127771520 129767950 141184000 146831360 150592000 159714400 166102976 183539200 199643000 204434432 207628720 229424000 240947200 255543040 259535900 282368000 293662720 301184000 319428800 324419875 332205952 367078400 399286000 408868864 415257440 458848000 511086080 519071800 564736000 602368000 638857600 648839750 664411904 734156800 798572000 817737728 830514880 917696000 1022172160 1038143600 1204736000 1277715200 1297679500 1328823808 1468313600 1597144000 1661029760 1835392000 2044344320 2076287200 2555430400 2595359000 2657647616 3194288000 3322059520 3670784000 4088688640 4152574400 5110860800 5190718000 5315295232 6388576000 6644119040 7341568000 8305148800 10221721600 10381436000 10630590464 12777152000 13288238080 16610297600 20443443200 20762872000 25554304000 26576476160 33220595200 41525744000 51108608000 53152952320 66441190400 83051488000 102217216000 132882380800 166102976000 265764761600 332205952000 664411904000 1328823808000
- Sum of all divisors σ(n): 3594429925632
- Sum of proper divisors (its aliquot sum) s(n): 2265606117632
- 1328823808000 is an abundant number, because the sum of its proper divisors (2265606117632) is greater than itself. Its abundance is 936782309632
Bases of 1328823808000
- Binary: 100110101011001000001001000110000000000002
- Hexadecimal: 0x13564123000
- Base-36: GYGBDWCG
Squares and roots of 1328823808000
- 1328823808000 squared (13288238080002) is 1765772712707620864000000
- 1328823808000 cubed (13288238080003) is 2346400820162630747120730112000000000
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The
square root of 1328823808000 is 1152746.2027697163 -
The
cube root of 1328823808000 is 10994.0017104491
Scales and comparisons
How big is 1328823808000?- 1,328,823,808,000 seconds is equal to 42,252 years, 25 weeks, 2 days, 4 hours, 26 minutes, 40 seconds.
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To count from 1 to 1,328,823,808,000 would take you about one hundred five thousand, six hundred thirty-one 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 1328823808000 cubic inches would be around 916.2 feet tall.
Recreational maths with 1328823808000
- 1328823808000 backwards is 0008083288231
- The number of decimal digits it has is: 13
- The sum of 1328823808000's digits is 43
- More coming soon!
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