12468317331456000
12,468,317,331,456,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 12468317331456000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3264 divisors.
12468317331456000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, two hundred sixty-four divisors.
Prime factorization of 12468317331456000:
216 × 32 × 53 × 73 × 793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 79 × 79 × 79)See below for interesting mathematical facts about the number 12468317331456000 from the Numbermatics database.
Names of 12468317331456000
- Cardinal: 12468317331456000 can be written as Twelve quadrillion, four hundred sixty-eight trillion, three hundred seventeen billion, three hundred thirty-one million, four hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.2468317331456 × 1016
Factors of 12468317331456000
Divisors of 12468317331456000
- Number of divisors d(n): 3264
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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 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 79 80 84 90 96 98 100 105 112 120 125 126 128 140 144 147 150 158 160 168 175 180 192 196 200 210 224 225 237 240 245 250 252 256 280 288 294 300 315 316 320 336 343 350 360 375 384 392 395 400 420 441 448 450 474 480 490 500 504 512 525 553 560 576 588 600 630 632 640 672 686 700 711 720 735 750 768 784 790 800 840 875 882 896 900 948 960 980 1000 1008 1024 1029 1050 1106 1120 1125 1152 1176 1185 1200 1225 1260 1264 1280 1344 1372 1400 1422 1440 1470 1500 1536 1568 1575 1580 1600 1659 1680 1715 1750 1764 1792 1800 1896 1920 1960 1975 2000 2016 2048 2058 2100 2205 2212 2240 2250 2304 2352 2370 2400 2450 2520 2528 2560 2625 2688 2744 2765 2800 2844 2880 2940 3000 3072 3087 3136 3150 3160 3200 3318 3360 3430 3500 3528 3555 3584 3600 3675 3792 3840 3871 3920 3950 4000 4032 4096 4116 4200 4410 4424 4480 4500 4608 4704 4740 4800 4900 4977 5040 5056 5120 5145 5250 5376 5488 5530 5600 5688 5760 5880 5925 6000 6125 6144 6174 6241 6272 6300 6320 6400 6636 6720 6860 7000 7056 7110 7168 7200 7350 7584 7680 7742 7840 7875 7900 8000 8064 8192 8232 8295 8400 8575 8820 8848 8960 9000 9216 9408 9480 9600 9800 9875 9954 10080 10112 10240 10290 10500 10752 10976 11025 11060 11200 11376 11520 11613 11760 11850 12000 12250 12288 12348 12482 12544 12600 12640 12800 13272 13440 13720 13825 14000 14112 14220 14336 14400 14700 15168 15360 15435 15484 15680 15750 15800 16000 16128 16384 16464 16590 16800 17150 17640 17696 17775 17920 18000 18375 18432 18723 18816 18960 19200 19355 19600 19750 19908 20160 20224 20480 20580 21000 21504 21952 22050 22120 22400 22752 23040 23226 23520 23700 24000 24500 24576 24696 24885 24964 25088 25200 25280 25600 25725 26544 26880 27097 27440 27650 28000 28224 28440 28672 28800 29400 29625 30336 30720 30870 30968 31205 31360 31500 31600 32000 32256 32768 32928 33180 33600 34300 34839 35280 35392 35550 35840 36000 36750 36864 37446 37632 37920 38400 38710 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8905940951040 9087694848000 9277021824000 9740872915200 9864175104000 9895489945600 10178218229760 10390264442880 10521786777600 10602310656000 10823192128000 11082948739072 11132426188800 11273342976000 11874587934720 12116926464000 12176091144000 12369362432000 12468317331456 12722772787200 12987830553600 13152233472000 13853685923840 13915532736000 14136414208000 14249505521664 14843234918400 15585396664320 15782680166400 15903465984000 16234788192000 16624423108608 16963697049600 17317107404800 17536311296000 17811881902080 18175389696000 18554043648000 19481745830400 19728350208000 19790979891200 20780528885760 21204621312000 21646384256000 22264852377600 22546685952000 23749175869440 24352182288000 24738724864000 24936634662912 25445545574400 25975661107200 26304466944000 27707371847680 27831065472000 28272828416000 29686469836800 31170793328640 31565360332800 31806931968000 32469576384000 33248846217216 34634214809600 35623763804160 36350779392000 37108087296000 38963491660800 39456700416000 39581959782400 41561057771520 42409242624000 43292768512000 44529704755200 48704364576000 49477449728000 49873269325824 50891091148800 51951322214400 52608933888000 55414743695360 55662130944000 59372939673600 62341586657280 63613863936000 64939152768000 69268429619200 71247527608320 74216174592000 77926983321600 78913400832000 83122115543040 84818485248000 86585537024000 89059409510400 97408729152000 98954899456000 99746538651648 103902644428800 111324261888000 118745879347200 124683173314560 127227727872000 129878305536000 138536859238400 148432349184000 155853966643200 157826801664000 166244231086080 173171074048000 178118819020800 194817458304000 197909798912000 207805288857600 222648523776000 249366346629120 254455455744000 259756611072000 277073718476800 296864698368000 311707933286400 346342148096000 356237638041600 389634916608000 415610577715200 445297047552000 498732693258240 519513222144000 593729396736000 623415866572800 692684296192000 779269833216000 831221155430400 890594095104000 1039026444288000 1246831733145600 1385368592384000 1558539666432000 1781188190208000 2078052888576000 2493663466291200 3117079332864000 4156105777152000 6234158665728000 12468317331456000
- Sum of all divisors σ(n): 53094349731072000
- Sum of proper divisors (its aliquot sum) s(n): 40626032399616000
- 12468317331456000 is an abundant number, because the sum of its proper divisors (40626032399616000) is greater than itself. Its abundance is 28157715068160000
Bases of 12468317331456000
- Binary: 1011000100101111011110010110010111110100000000000000002
- Hexadecimal: 0x2C4BDE597D0000
- Base-36: 3ERNDWOQGW0
Squares and roots of 12468317331456000
- 12468317331456000 squared (124683173314560002) is 155458937077886068967079936000000
- 12468317331456000 cubed (124683173314560003) is 1938311359497934645853220081940159266816000000000
-
The
square root of 12468317331456000 is 111661619.7780419089 -
The
cube root of 12468317331456000 is 231883.1985596031
Scales and comparisons
How big is 12468317331456000?- 12,468,317,331,456,000 seconds is equal to 396,453,924 years, 5 weeks, 2 days, 8 hours.
-
To count from 1 to 12,468,317,331,456,000 would take you about one billion, one hundred eighty-nine million, three hundred sixty-one thousand, seven hundred seventy-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 12468317331456000 cubic inches would be around 19323.6 feet tall.
Recreational maths with 12468317331456000
- 12468317331456000 backwards is 00065413371386421
- The number of decimal digits it has is: 17
- The sum of 12468317331456000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 12468317331456000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 12468317331456000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/12468317331456000/
Chicago style:
Numbermatics. 2024. "Number 12468317331456000 - Facts about the integer". https://numbermatics.com/n/12468317331456000/
The information we have on file for 12468317331456000 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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