329728142729216000
329,728,142,729,216,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 329728142729216000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2448 divisors.
329728142729216000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred forty-eight divisors.
Prime factorization of 329728142729216000:
216 × 53 × 72 × 11 × 53 × 11872
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 53 × 1187 × 1187)See below for interesting mathematical facts about the number 329728142729216000 from the Numbermatics database.
Names of 329728142729216000
- Cardinal: 329728142729216000 can be written as Three hundred twenty-nine quadrillion, seven hundred twenty-eight trillion, one hundred forty-two billion, seven hundred twenty-nine million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 3.29728142729216 × 1017
Factors of 329728142729216000
Divisors of 329728142729216000
- Number of divisors d(n): 2448
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 53 55 56 64 70 77 80 88 98 100 106 110 112 125 128 140 154 160 175 176 196 200 212 220 224 245 250 256 265 275 280 308 320 350 352 371 385 392 400 424 440 448 490 500 512 530 539 550 560 583 616 640 700 704 742 770 784 800 848 875 880 896 980 1000 1024 1060 1078 1100 1120 1166 1187 1225 1232 1280 1325 1375 1400 1408 1484 1540 1568 1600 1696 1750 1760 1792 1855 1925 1960 2000 2048 2120 2156 2200 2240 2332 2374 2450 2464 2560 2597 2650 2695 2750 2800 2816 2915 2968 3080 3136 3200 3392 3500 3520 3584 3710 3850 3920 4000 4081 4096 4240 4312 4400 4480 4664 4748 4900 4928 5120 5194 5300 5390 5500 5600 5632 5830 5935 5936 6125 6160 6272 6400 6625 6784 7000 7040 7168 7420 7700 7840 8000 8162 8192 8309 8480 8624 8800 8960 9275 9328 9496 9625 9800 9856 10240 10388 10600 10780 11000 11200 11264 11660 11870 11872 12250 12320 12544 12800 12985 13057 13250 13475 13568 14000 14080 14336 14575 14840 15400 15680 16000 16324 16384 16618 16960 17248 17600 17920 18550 18656 18992 19250 19600 19712 20405 20480 20776 21200 21560 22000 22400 22528 23320 23740 23744 24500 24640 25088 25600 25970 26114 26500 26950 27136 28000 28160 28567 28672 29150 29675 29680 30800 31360 32000 32648 32768 33236 33920 34496 35200 35840 37100 37312 37984 38500 39200 39424 40810 40960 41545 41552 42400 43120 44000 44800 45056 46375 46640 47480 47488 49000 49280 50176 51200 51940 52228 53000 53900 54272 56000 56320 57134 57344 58163 58300 59350 59360 61600 62720 62911 64000 64925 65285 65296 65536 66472 67375 67840 68992 70400 71680 72875 74200 74624 75968 77000 78400 78848 81620 81920 83090 83104 84800 86240 88000 89600 90112 91399 92750 93280 94960 94976 98000 98560 100352 102025 102400 103880 104456 106000 107800 108544 112000 112640 114268 114688 116326 116600 118700 118720 123200 125440 125822 128000 129850 130570 130592 132944 134750 135680 137984 140800 142835 143360 145750 148375 148400 149248 151936 154000 156800 157696 163240 163840 166180 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535272958976000 565571428352000 588800254873600 599505714053120 611740524544000 622128571187200 644000278768000 659456285458432 672914576998400 736000318592000 749382142566400 777660713984000 824320356823040 841143221248000 856436734361600 888755101696000 936727678208000 942080407797760 1030400446028800 1070545917952000 1177600509747200 1199011428106240 1244257142374400 1288000557536000 1318912570916864 1345829153996800 1472000637184000 1498764285132800 1555321427968000 1648640713646080 1682286442496000 1873455356416000 1884160815595520 2060800892057600 2141091835904000 2355201019494400 2576001115072000 2637825141833728 2944001274368000 2997528570265600 3110642855936000 3297281427292160 3364572884992000 3746910712832000 4121601784115200 4282183671808000 4710402038988800 5152002230144000 5888002548736000 5995057140531200 6221285711872000 6594562854584320 6729145769984000 7493821425664000 8243203568230400 9420804077977600 10304004460288000 11776005097472000 13189125709168640 14987642851328000 16486407136460800 20608008920576000 23552010194944000 29975285702656000 32972814272921600 41216017841152000 47104020389888000 65945628545843200 82432035682304000 164864071364608000 329728142729216000
- Sum of all divisors σ(n): 1064997382394024352
- Sum of proper divisors (its aliquot sum) s(n): 735269239664808352
- 329728142729216000 is an abundant number, because the sum of its proper divisors (735269239664808352) is greater than itself. Its abundance is 405541096935592352
Bases of 329728142729216000
- Binary: 100100100110110110111111111101100111101001100000000000000002
- Hexadecimal: 0x4936DFFB3D30000
- Base-36: 2I6MVDMSM3NK
Squares and roots of 329728142729216000
- 329728142729216000 squared (3297281427292160002) is 108720648107658238125099974656000000
- 329728142729216000 cubed (3297281427292160003) is 35848257376854802958456887980202872270749696000000000
-
The
square root of 329728142729216000 is 574219594.5186963053 -
The
cube root of 329728142729216000 is 690852.5083628683
Scales and comparisons
How big is 329728142729216000?- 329,728,142,729,216,000 seconds is equal to 10,484,335,022 years, 35 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 329,728,142,729,216,000 would take you about thirty-one billion, four hundred fifty-three million, five thousand and sixty-eight 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 329728142729216000 cubic inches would be around 57571 feet tall.
Recreational maths with 329728142729216000
- 329728142729216000 backwards is 000612927241827923
- The number of decimal digits it has is: 18
- The sum of 329728142729216000's digits is 65
- More coming soon!
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"Number 329728142729216000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 329728142729216000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/329728142729216000/
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The information we have on file for 329728142729216000 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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