128978904828672000
128,978,904,828,672,000 is an even composite number composed of five prime numbers multiplied together.
128978904828672000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 128978904828672000:
211 × 33 × 53 × 292 × 2813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 29 × 281 × 281 × 281)See below for interesting mathematical facts about the number 128978904828672000 from the Numbermatics database.
Names of 128978904828672000
- Cardinal: 128978904828672000 can be written as One hundred twenty-eight quadrillion, nine hundred seventy-eight trillion, nine hundred four billion, eight hundred twenty-eight million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.28978904828672 × 1017
Factors of 128978904828672000
Divisors of 128978904828672000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 87 90 96 100 108 116 120 125 128 135 144 145 150 160 174 180 192 200 216 225 232 240 250 256 261 270 281 288 290 300 320 348 360 375 384 400 432 435 450 464 480 500 512 522 540 562 576 580 600 640 675 696 720 725 750 768 783 800 841 843 864 870 900 928 960 1000 1024 1044 1080 1124 1125 1152 1160 1200 1280 1305 1350 1392 1405 1440 1450 1500 1536 1566 1600 1682 1686 1728 1740 1800 1856 1920 2000 2048 2088 2160 2175 2248 2250 2304 2320 2400 2523 2529 2560 2610 2700 2784 2810 2880 2900 3000 3072 3132 3200 3364 3372 3375 3456 3480 3600 3625 3712 3840 3915 4000 4176 4205 4215 4320 4350 4496 4500 4608 4640 4800 5046 5058 5120 5220 5400 5568 5620 5760 5800 6000 6144 6264 6400 6525 6728 6744 6750 6912 6960 7025 7200 7250 7424 7569 7587 7680 7830 8000 8149 8352 8410 8430 8640 8700 8992 9000 9216 9280 9600 10092 10116 10240 10440 10800 10875 11136 11240 11520 11600 12000 12528 12615 12645 12800 13050 13456 13488 13500 13824 13920 14050 14400 14500 14848 15138 15174 15360 15660 16000 16298 16704 16820 16860 17280 17400 17984 18000 18432 18560 19200 19575 20184 20232 20880 21025 21075 21600 21750 22272 22480 22707 23040 23200 24000 24447 25056 25230 25290 25600 26100 26912 26976 27000 27648 27840 28100 28800 29000 29696 30276 30348 30720 31320 32000 32596 32625 33408 33640 33720 34560 34800 35125 35968 36000 37120 37845 37935 38400 39150 40368 40464 40745 41760 42050 42150 43200 43500 44544 44960 45414 46080 46400 48000 48894 50112 50460 50580 51200 52200 53824 53952 54000 55296 55680 56200 57600 58000 59392 60552 60696 62640 63075 63225 64000 65192 65250 66816 67280 67440 69120 69600 70250 71936 72000 73341 74240 75690 75870 76800 78300 78961 80736 80928 81490 83520 84100 84300 86400 87000 89088 89920 90828 92160 92800 96000 97788 97875 100224 100920 101160 104400 105125 105375 107648 107904 108000 111360 112400 113535 115200 116000 121104 121392 122235 125280 126150 126450 128000 130384 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14330989425408 14343739416000 14825161474560 14928113984800 15299988710400 15336373939200 15442876536000 15827574528000 16122363103584 16472401638400 16794128232900 16999987456000 17040415488000 17373236103000 17790193769472 17913736781760 18359986452480 18531451843200 18660142481000 19107985900544 19124985888000 19170467424000 19766881966080 20152953879480 20590502048000 20992660291125 21496484138112 22237742211840 22392170977200 22949983065600 23164314804000 23884982375680 24708602457600 25191192349350 25499981184000 25560623232000 26870605172640 27797177764800 27990213721500 28661978850816 28687478832000 29650322949120 29856227969600 30599977420800 30672747878400 30885753072000 32244726207168 32944803276800 33588256465800 34746472206000 35580387538944 35827473563520 37062903686400 37320284962000 38215971801088 38249971776000 38340934848000 40305907758960 41181004096000 41985320582250 42992968276224 44475484423680 44784341954400 45899966131200 46328629608000 47769964751360 49417204915200 50382384698700 50999962368000 51121246464000 53741210345280 55594355529600 55980427443000 57323957701632 57374957664000 59300645898240 59712455939200 61771506144000 62977980873375 64489452414336 67176512931600 69492944412000 71654947127040 74125807372800 74640569924000 76499943552000 76681869696000 80611815517920 82362008192000 83970641164500 85985936552448 88950968847360 89568683908800 91799932262400 92657259216000 95539929502720 98834409830400 100764769397400 107482420690560 111188711059200 111960854886000 114647915403264 114749915328000 119424911878400 123543012288000 125955961746750 128978904828672 134353025863200 138985888824000 143309894254080 148251614745600 149281139848000 152999887104000 153363739392000 161223631035840 164724016384000 167941282329000 171971873104896 177901937694720 179137367817600 185314518432000 191079859005440 201529538794800 214964841381120 222377422118400 223921709772000 229499830656000 238849823756800 247086024576000 251911923493500 257957809657344 268706051726400 277971777648000 286619788508160 296503229491200 298562279696000 322447262071680 335882564658000 343943746209792 358274735635200 370629036864000 403059077589600 429929682762240 444754844236800 447843419544000 458999661312000 477699647513600 494172049152000 503823846987000 515915619314688 537412103452800 555943555296000 573239577016320 597124559392000 644894524143360 671765129316000 716549471270400 741258073728000 806118155179200 859859365524480 889509688473600 895686839088000 955399295027200 1007647693974000 1031831238629376 1074824206905600 1111887110592000 1194249118784000 1289789048286720 1343530258632000 1433098942540800 1482516147456000 1612236310358400 1719718731048960 1791373678176000 2015295387948000 2149648413811200 2223774221184000 2388498237568000 2579578096573440 2687060517264000 2866197885081600 3224472620716800 3582747356352000 4030590775896000 4299296827622400 4447548442368000 4776996475136000 5159156193146880 5374121034528000 6448945241433600 7165494712704000 8061181551792000 8598593655244800 10748242069056000 12897890482867200 14330989425408000 16122363103584000 21496484138112000 25795780965734400 32244726207168000 42992968276224000 64489452414336000 128978904828672000
- Sum of all divisors σ(n): 495591556952419200
- Sum of proper divisors (its aliquot sum) s(n): 366612652123747200
- 128978904828672000 is an abundant number, because the sum of its proper divisors (366612652123747200) is greater than itself. Its abundance is 237633747295075200
Bases of 128978904828672000
- Binary: 1110010100011100110100001011011011101010011111000000000002
- Hexadecimal: 0x1CA39A16DD4F800
- Base-36: Z9Z7EW6CQO0
Squares and roots of 128978904828672000
- 128978904828672000 squared (1289789048286720002) is 16635557890803629357673283584000000
- 128978904828672000 cubed (1289789048286720003) is 2145636037969824822262949253827347190120448000000000
-
The
square root of 128978904828672000 is 359136331.8138002033 -
The
cube root of 128978904828672000 is 505249.8908058215
Scales and comparisons
How big is 128978904828672000?- 128,978,904,828,672,000 seconds is equal to 4,101,130,215 years, 31 weeks, 3 days.
-
To count from 1 to 128,978,904,828,672,000 would take you about twelve billion, three hundred three million, three hundred ninety thousand, six hundred forty-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 128978904828672000 cubic inches would be around 42104.2 feet tall.
Recreational maths with 128978904828672000
- 128978904828672000 backwards is 000276828409879821
- The number of decimal digits it has is: 18
- The sum of 128978904828672000's digits is 81
- More coming soon!
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"Number 128978904828672000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 128978904828672000 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/128978904828672000/
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The information we have on file for 128978904828672000 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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