128972832768000
128,972,832,768,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 128972832768000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
128972832768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 128972832768000:
217 × 33 × 53 × 13 × 41 × 547
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 41 × 547)See below for interesting mathematical facts about the number 128972832768000 from the Numbermatics database.
Names of 128972832768000
- Cardinal: 128972832768000 can be written as One hundred twenty-eight trillion, nine hundred seventy-two billion, eight hundred thirty-two million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.28972832768 × 1014
Factors of 128972832768000
Divisors of 128972832768000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 41 45 48 50 52 54 60 64 65 72 75 78 80 82 90 96 100 104 108 117 120 123 125 128 130 135 144 150 156 160 164 180 192 195 200 205 208 216 225 234 240 246 250 256 260 270 288 300 312 320 325 328 351 360 369 375 384 390 400 410 416 432 450 468 480 492 500 512 520 533 540 547 576 585 600 615 624 640 650 656 675 702 720 738 750 768 780 800 820 832 864 900 936 960 975 984 1000 1024 1025 1040 1066 1080 1094 1107 1125 1152 1170 1200 1230 1248 1280 1300 1312 1350 1404 1440 1476 1500 1536 1560 1599 1600 1625 1640 1641 1664 1728 1755 1800 1845 1872 1920 1950 1968 2000 2048 2050 2080 2132 2160 2188 2214 2250 2304 2340 2400 2460 2496 2560 2600 2624 2665 2700 2735 2808 2880 2925 2952 3000 3072 3075 3120 3198 3200 3250 3280 3282 3328 3375 3456 3510 3600 3690 3744 3840 3900 3936 4000 4096 4100 4160 4264 4320 4376 4428 4500 4608 4680 4797 4800 4875 4920 4923 4992 5120 5125 5200 5248 5330 5400 5470 5535 5616 5760 5850 5904 6000 6144 6150 6240 6396 6400 6500 6560 6564 6656 6750 6912 7020 7111 7200 7380 7488 7680 7800 7872 7995 8000 8192 8200 8205 8320 8528 8640 8752 8775 8856 9000 9216 9225 9360 9594 9600 9750 9840 9846 9984 10240 10250 10400 10496 10660 10800 10940 11070 11232 11520 11700 11808 12000 12288 12300 12480 12792 12800 13000 13120 13128 13312 13325 13500 13675 13824 14040 14222 14391 14400 14625 14760 14769 14976 15360 15375 15600 15744 15990 16000 16384 16400 16410 16640 17056 17280 17504 17550 17712 18000 18432 18450 18720 19188 19200 19500 19680 19692 19968 20480 20500 20800 20992 21320 21333 21600 21880 22140 22427 22464 23040 23400 23616 23985 24000 24576 24600 24615 24960 25584 25600 26000 26240 26256 26624 26650 27000 27350 27648 27675 28080 28444 28782 28800 29250 29520 29538 29952 30720 30750 31200 31488 31980 32000 32768 32800 32820 33280 34112 34560 35008 35100 35424 35555 36000 36864 36900 37440 38376 38400 39000 39360 39384 39936 39975 40960 41000 41025 41600 41984 42640 42666 43200 43760 43875 44280 44854 44928 46080 46125 46800 47232 47970 48000 49152 49200 49230 49920 51168 51200 52000 52480 52512 53248 53300 54000 54700 55296 55350 56160 56888 57564 57600 58500 59040 59076 59904 61440 61500 62400 62976 63960 63999 64000 65536 65600 65640 66560 66625 67281 68224 68375 69120 70016 70200 70848 71110 71955 72000 73728 73800 73845 74880 76752 76800 78000 78720 78768 79872 79950 81920 82000 82050 83200 83968 85280 85332 86400 87520 87750 88560 89708 89856 92160 92250 93600 94464 95940 96000 98304 98400 98460 99840 102336 102400 104000 104960 105024 106496 106600 106665 108000 109400 110592 110700 112135 112320 113776 115128 115200 117000 118080 118152 119808 119925 122880 123000 123075 124800 125952 127920 127998 128000 131072 131200 131280 133120 133250 134562 136448 136750 138240 138375 140032 140400 141696 142220 143910 144000 147456 147600 147690 149760 153504 153600 156000 157440 157536 159744 159900 163840 164000 164100 166400 167936 170560 170664 172800 175040 175500 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9553543168 9679011840 9688464000 9824256000 9830246400 9920987136 10076002560 10082304000 10334361600 10485596160 10495836000 10747736064 10922496000 11023319040 11195558400 11482624000 11650662400 11789107200 11941928960 12098764800 12287808000 12401233920 12582715392 12595003200 12917952000 13099008000 13106995200 13227982848 13434670080 13443072000 13779148800 13980794880 13994448000 14330314752 14563328000 14697758720 14736384000 14927411200 15123456000 15501542400 15718809600 15728394240 15743754000 16121604096 16131686400 16383744000 16534978560 16793337600 17223936000 17475993600 17912893440 18137088000 18372198400 18659264000 19107086336 19376928000 19648512000 19660492800 19841974272 20152005120 20164608000 20668723200 20971192320 20991672000 21495472128 21844992000 22046638080 22391116800 22965248000 23301324800 23578214400 23883857920 24197529600 24575616000 24802467840 25165430784 25190006400 25835904000 26198016000 26213990400 26455965696 26869340160 26886144000 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111955584000 114642518016 116506624000 117891072000 119419289600 120987648000 124012339200 125827153920 125950032000 128972832768 131069952000 132279828480 134346700800 137791488000 143303147520 149274112000 155015424000 157283942400 161216040960 165349785600 167933376000 171963777024 174759936000 179128934400 183721984000 191070863360 196604928000 198419742720 201520051200 206687232000 209711923200 214954721280 220466380800 223911168000 235782144000 238838579200 241975296000 248024678400 251900064000 257945665536 262139904000 268693401600 275582976000 286606295040 298548224000 310030848000 314567884800 322432081920 330699571200 335866752000 343927554048 349519872000 358257868800 367443968000 393209856000 396839485440 403040102400 413374464000 429909442560 447822336000 477677158400 496049356800 503800128000 515891331072 524279808000 537386803200 551165952000 573212590080 597096448000 620061696000 629135769600 644864163840 661399142400 671733504000 716515737600 786419712000 806080204800 826748928000 859818885120 895644672000 955354316800 992098713600 1007600256000 1031782662144 1048559616000 1074773606400 1102331904000 1194192896000 1240123392000 1289728327680 1343467008000 1433031475200 1572839424000 1612160409600 1653497856000 1719637770240 1791289344000 1984197427200 2015200512000 2149547212800 2388385792000 2480246784000 2579456655360 2686934016000 2866062950400 3145678848000 3224320819200 3306995712000 3582578688000 4030401024000 4299094425600 4776771584000 4960493568000 5158913310720 5373868032000 6448641638400 7165157376000 8060802048000 8598188851200 9920987136000 10747736064000 12897283276800 14330314752000 16121604096000 21495472128000 25794566553600 32243208192000 42990944256000 64486416384000 128972832768000
- Sum of all divisors σ(n): 527085100039680
- Sum of proper divisors (its aliquot sum) s(n): 398112267271680
- 128972832768000 is an abundant number, because the sum of its proper divisors (398112267271680) is greater than itself. Its abundance is 269139434503680
Bases of 128972832768000
- Binary: 111010101001100110100111110001000000000000000002
- Hexadecimal: 0x754CD3E20000
- Base-36: 19PTAUNEO0
Squares and roots of 128972832768000
- 128972832768000 squared (1289728327680002) is 16633991592202494541824000000
- 128972832768000 cubed (1289728327680003) is 2145333015885450381335099533688832000000000
-
The
square root of 128972832768000 is 11356620.6579246099 -
The
cube root of 128972832768000 is 50524.1961973995
Scales and comparisons
How big is 128972832768000?- 128,972,832,768,000 seconds is equal to 4,100,937 years, 7 weeks, 3 days.
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To count from 1 to 128,972,832,768,000 would take you about ten million, two hundred fifty-two thousand, three hundred forty-two 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 128972832768000 cubic inches would be around 4210.3 feet tall.
Recreational maths with 128972832768000
- 128972832768000 backwards is 000867238279821
- The number of decimal digits it has is: 15
- The sum of 128972832768000's digits is 63
- More coming soon!
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The information we have on file for 128972832768000 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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