132424517965824000
132,424,517,965,824,000 is an even composite number composed of five prime numbers multiplied together.
132424517965824000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 132424517965824000:
214 × 33 × 53 × 72 × 69912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 6991 × 6991)See below for interesting mathematical facts about the number 132424517965824000 from the Numbermatics database.
Names of 132424517965824000
- Cardinal: 132424517965824000 can be written as One hundred thirty-two quadrillion, four hundred twenty-four trillion, five hundred seventeen billion, nine hundred sixty-five million, eight hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.32424517965824 × 1017
Factors of 132424517965824000
Divisors of 132424517965824000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 168 175 180 189 192 196 200 210 216 224 225 240 245 250 252 256 270 280 288 294 300 315 320 336 350 360 375 378 384 392 400 420 432 441 448 450 480 490 500 504 512 525 540 560 576 588 600 630 640 672 675 700 720 735 750 756 768 784 800 840 864 875 882 896 900 945 960 980 1000 1008 1024 1050 1080 1120 1125 1152 1176 1200 1225 1260 1280 1323 1344 1350 1400 1440 1470 1500 1512 1536 1568 1575 1600 1680 1728 1750 1764 1792 1800 1890 1920 1960 2000 2016 2048 2100 2160 2205 2240 2250 2304 2352 2400 2450 2520 2560 2625 2646 2688 2700 2800 2880 2940 3000 3024 3072 3136 3150 3200 3360 3375 3456 3500 3528 3584 3600 3675 3780 3840 3920 4000 4032 4096 4200 4320 4410 4480 4500 4608 4704 4725 4800 4900 5040 5120 5250 5292 5376 5400 5600 5760 5880 6000 6048 6125 6144 6272 6300 6400 6615 6720 6750 6912 6991 7000 7056 7168 7200 7350 7560 7680 7840 7875 8000 8064 8192 8400 8640 8820 8960 9000 9216 9408 9450 9600 9800 10080 10240 10500 10584 10752 10800 11025 11200 11520 11760 12000 12096 12250 12288 12544 12600 12800 13230 13440 13500 13824 13982 14000 14112 14336 14400 14700 15120 15360 15680 15750 16000 16128 16384 16800 17280 17640 17920 18000 18375 18432 18816 18900 19200 19600 20160 20480 20973 21000 21168 21504 21600 22050 22400 23040 23520 23625 24000 24192 24500 24576 25088 25200 25600 26460 26880 27000 27648 27964 28000 28224 28672 28800 29400 30240 30720 31360 31500 32000 32256 33075 33600 34560 34955 35280 35840 36000 36750 36864 37632 37800 38400 39200 40320 40960 41946 42000 42336 43008 43200 44100 44800 46080 47040 47250 48000 48384 48937 49000 49152 50176 50400 51200 52920 53760 54000 55125 55296 55928 56000 56448 57344 57600 58800 60480 61440 62720 62919 63000 64000 64512 66150 67200 69120 69910 70560 71680 72000 73500 73728 75264 75600 76800 78400 80640 81920 83892 84000 84672 86016 86400 88200 89600 92160 94080 94500 96000 96768 97874 98000 100352 100800 102400 104865 105840 107520 108000 110250 110592 111856 112000 112896 114688 115200 117600 120960 122880 125440 125838 126000 128000 129024 132300 134400 138240 139820 141120 143360 144000 146811 147000 147456 150528 151200 153600 156800 161280 165375 167784 168000 169344 172032 172800 174775 176400 179200 184320 188160 188757 189000 192000 193536 195748 196000 200704 201600 204800 209730 211680 215040 216000 220500 221184 223712 224000 225792 230400 235200 241920 244685 245760 250880 251676 252000 256000 258048 264600 268800 276480 279640 282240 286720 288000 293622 294000 301056 302400 307200 313600 314595 322560 330750 335568 336000 338688 342559 344064 345600 349550 352800 358400 368640 376320 377514 378000 384000 387072 391496 392000 401408 403200 409600 419460 423360 430080 432000 440433 441000 442368 447424 448000 451584 460800 470400 483840 489370 501760 503352 504000 512000 516096 524325 529200 537600 552960 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54050823659520 55176882485760 56302941312000 57475919256000 58855341318144 59118088377600 60056470732800 61307647206400 63059294269440 64660409163000 65686764864000 66212258982912 67563529574400 68971103107200 70065882521600 73569176647680 73897610472000 75070588416000 75671153123328 76634559008000 78824117836800 82765323728640 84079059025920 84454411968000 86213878884000 87582353152000 88283011977216 90084706099200 91961470809600 94588941404160 98092235530240 98530147296000 100094117888000 103456654660800 105098823782400 108101647319040 110353764971520 112605882624000 114951838512000 117710682636288 118236176755200 122615294412800 126118588538880 129320818326000 131373529728000 132424517965824 135127059148800 137942206214400 140131765043200 147138353295360 147795220944000 150141176832000 151342306246656 153269118016000 157648235673600 165530647457280 168908823936000 172427757768000 175164706304000 176566023954432 180169412198400 183922941619200 189177882808320 196184471060480 197060294592000 206913309321600 210197647564800 220707529943040 225211765248000 229903677024000 236472353510400 245230588825600 252237177077760 258641636652000 262747059456000 264849035931648 270254118297600 275884412428800 294276706590720 295590441888000 300282353664000 306538236032000 315296471347200 331061294914560 337817647872000 344855515536000 350329412608000 353132047908864 367845883238400 378355765616640 394120589184000 413826618643200 420395295129600 441415059886080 450423530496000 459807354048000 472944707020800 490461177651200 517283273304000 525494118912000 529698071863296 540508236595200 551768824857600 588553413181440 591180883776000 613076472064000 630592942694400 662122589829120 675635295744000 689711031072000 700658825216000 735691766476800 756711531233280 788241178368000 827653237286400 882830119772160 900847060992000 919614708096000 945889414041600 980922355302400 1034566546608000 1050988237824000 1059396143726592 1103537649715200 1182361767552000 1226152944128000 1261185885388800 1324245179658240 1351270591488000 1379422062144000 1471383532953600 1576482356736000 1655306474572800 1765660239544320 1839229416192000 1891778828083200 2069133093216000 2101976475648000 2207075299430400 2364723535104000 2452305888256000 2648490359316480 2702541182976000 2758844124288000 2942767065907200 3152964713472000 3310612949145600 3678458832384000 3783557656166400 4138266186432000 4414150598860800 4729447070208000 4904611776512000 5296980718632960 5517688248576000 6305929426944000 6621225898291200 7356917664768000 8276532372864000 8828301197721600 9458894140416000 11035376497152000 13242451796582400 14713835329536000 16553064745728000 18917788280832000 22070752994304000 26484903593164800 33106129491456000 44141505988608000 66212258982912000 132424517965824000
- Sum of all divisors σ(n): 569687718802718880
- Sum of proper divisors (its aliquot sum) s(n): 437263200836894880
- 132424517965824000 is an abundant number, because the sum of its proper divisors (437263200836894880) is greater than itself. Its abundance is 304838682871070880
Bases of 132424517965824000
- Binary: 1110101100111011101100101110000001110011111000000000000002
- Hexadecimal: 0x1D67765C0E7C000
- Base-36: 107WKNPT4AO0
Squares and roots of 132424517965824000
- 132424517965824000 squared (1324245179658240002) is 17536252958480843346831998976000000
- 132424517965824000 cubed (1324245179658240003) is 2322229844953580711328692989151963170996224000000000
-
The
square root of 132424517965824000 is 363901797.1456365315 -
The
cube root of 132424517965824000 is 509709.5847091181
Scales and comparisons
How big is 132424517965824000?- 132,424,517,965,824,000 seconds is equal to 4,210,690,055 years, 20 weeks.
-
To count from 1 to 132,424,517,965,824,000 would take you about twelve billion, six hundred thirty-two million, seventy thousand, one hundred sixty-six 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 132424517965824000 cubic inches would be around 42475.8 feet tall.
Recreational maths with 132424517965824000
- 132424517965824000 backwards is 000428569715424231
- 132424517965824000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 132424517965824000's digits is 63
- More coming soon!
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"Number 132424517965824000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 132424517965824000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/132424517965824000/
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The information we have on file for 132424517965824000 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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