23378679978864000
23,378,679,978,864,000 is an even composite number composed of five prime numbers multiplied together.
23378679978864000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 23378679978864000:
27 × 3 × 53 × 73 × 1419987851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 1419987851)See below for interesting mathematical facts about the number 23378679978864000 from the Numbermatics database.
Names of 23378679978864000
- Cardinal: 23378679978864000 can be written as Twenty-three quadrillion, three hundred seventy-eight trillion, six hundred seventy-nine billion, nine hundred seventy-eight million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 2.3378679978864 × 1016
Factors of 23378679978864000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 1419987868
Divisors of 23378679978864000
- Number of divisors d(n): 512
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 280 294 300 320 336 343 350 375 384 392 400 420 448 480 490 500 525 560 588 600 640 672 686 700 735 750 784 800 840 875 896 960 980 1000 1029 1050 1120 1176 1200 1225 1344 1372 1400 1470 1500 1568 1600 1680 1715 1750 1920 1960 2000 2058 2100 2240 2352 2400 2450 2625 2688 2744 2800 2940 3000 3136 3200 3360 3430 3500 3675 3920 4000 4116 4200 4480 4704 4800 4900 5145 5250 5488 5600 5880 6000 6125 6272 6720 6860 7000 7350 7840 8000 8232 8400 8575 9408 9600 9800 10290 10500 10976 11200 11760 12000 12250 13440 13720 14000 14700 15680 16000 16464 16800 17150 18375 18816 19600 20580 21000 21952 22400 23520 24000 24500 25725 27440 28000 29400 31360 32928 33600 34300 36750 39200 41160 42000 42875 43904 47040 48000 49000 51450 54880 56000 58800 65856 67200 68600 73500 78400 82320 84000 85750 94080 98000 102900 109760 112000 117600 128625 131712 137200 147000 156800 164640 168000 171500 196000 205800 219520 235200 257250 274400 294000 329280 336000 343000 392000 411600 470400 514500 548800 588000 658560 686000 784000 823200 1029000 1097600 1176000 1372000 1646400 2058000 2352000 2744000 3292800 4116000 5488000 8232000 16464000 1419987851 2839975702 4259963553 5679951404 7099939255 8519927106 9939914957 11359902808 14199878510 17039854212 19879829914 21299817765 22719805616 28399757020 29819744871 34079708424 35499696275 39759659828 42599635530 45439611232 49699574785 56799514040 59639489742 68159416848 69579404699 70999392550 79519319656 85199271060 90879222464 99399149570 106499088825 113599028080 119278979484 136318833696 139158809398 141998785100 149098724355 159038639312 170398542120 177498481375 181758444928 198798299140 208738214097 212998177650 227198056160 238557958968 248497873925 272637667392 278317618796 283997570200 298197448710 318077278624 340797084240 347897023495 354996962750 397596598280 417476428194 425996355300 454396112320 477115917936 487055832893 496995747850 532495444125 545275334784 556635237592 567995140400 596394897420 636154557248 681594168480 695794046990 709993925500 745493621775 795193196560 834952856388 851992710600 908792224640 954231835872 974111665786 993991495700 1043691070485 1064990888250 1113270475184 1135990280800 1192789794840 1242489369625 1272309114496 1363188336960 1391588093980 1419987851000 1461167498679 1490987243550 1590386393120 1669905712776 1703985421200 1739485117475 1908463671744 1948223331572 1987982991400 2087382140970 2129981776500 2226540950368 2271980561600 2385579589680 2435279164465 2484978739250 2726376673920 2783176187960 2839975702000 2922334997358 2981974487100 3180772786240 3339811425552 3407970842400 3478970234950 3727468108875 3816927343488 3896446663144 3975965982800 4174764281940 4259963553000 4453081900736 4543961123200 4771159179360 4870558328930 4969957478500 5218455352425 5566352375920 5679951404000 5844669994716 5963948974200 6361545572480 6679622851104 6815941684800 6957940469900 7305837493395 7454936217750 7792893326288 7951931965600 8349528563880 8519927106000 8697425587375 8906163801472 9542318358720 9741116657860 9939914957000 10436910704850 11132704751840 11359902808000 11689339989432 11927897948400 12176395822325 13359245702208 13631883369600 13915880939800 14611674986790 14909872435500 15585786652576 15903863931200 16699057127760 17039854212000 17394851174750 19084636717440 19482233315720 19879829914000 20873821409700 22265409503680 22719805616000 23378679978864 23855795896800 24352791644650 26092276762125 26718491404416 27831761879600 29223349973580 29819744871000 31171573305152 31807727862400 33398114255520 34079708424000 34789702349500 36529187466975 38964466631440 39759659828000 41747642819400 44530819007360 46757359957728 47711591793600 48705583289300 52184553524250 55663523759200 58446699947160 59639489742000 60881979111625 62343146610304 66796228511040 68159416848000 69579404699000 73058374933950 77928933262880 79519319656000 83495285638800 93514719915456 95423183587200 97411166578600 104369107048500 111327047518400 116893399894320 119278979484000 121763958223250 133592457022080 139158809398000 146116749867900 155857866525760 159038639312000 166990571277600 182645937334875 187029439830912 194822333157200 208738214097000 222654095036800 233786799788640 238557958968000 243527916446500 278317618796000 292233499735800 311715733051520 333981142555200 365291874669750 389644666314400 417476428194000 467573599577280 477115917936000 487055832893000 556635237592000 584466999471600 667962285110400 730583749339500 779289332628800 834952856388000 935147199154560 974111665786000 1113270475184000 1168933998943200 1461167498679000 1558578665257600 1669905712776000 1948223331572000 2337867997886400 2922334997358000 3339811425552000 3896446663144000 4675735995772800 5844669994716000 7792893326288000 11689339989432000 23378679978864000
- Sum of all divisors σ(n): 90379386804096000
- Sum of proper divisors (its aliquot sum) s(n): 67000706825232000
- 23378679978864000 is an abundant number, because the sum of its proper divisors (67000706825232000) is greater than itself. Its abundance is 43622026846368000
Bases of 23378679978864000
- Binary: 10100110000111011001001000110110111010100101101100000002
- Hexadecimal: 0x530EC91B752D80
- Base-36: 6E71TBBSAYO
Squares and roots of 23378679978864000
- 23378679978864000 squared (233786799788640002) is 546562677554136439486730496000000
- 23378679978864000 cubed (233786799788640003) is 12777913926929189742315408727233744236544000000000
-
The
square root of 23378679978864000 is 152900882.8583536989 -
The
cube root of 23378679978864000 is 285938.9570067465
Scales and comparisons
How big is 23378679978864000?- 23,378,679,978,864,000 seconds is equal to 743,369,708 years, 16 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 23,378,679,978,864,000 would take you about two billion, two hundred thirty million, one hundred nine thousand, one hundred twenty-four 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 23378679978864000 cubic inches would be around 23828.2 feet tall.
Recreational maths with 23378679978864000
- 23378679978864000 backwards is 00046887997687332
- The number of decimal digits it has is: 17
- The sum of 23378679978864000's digits is 87
- More coming soon!
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