12642823438336000
12,642,823,438,336,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 12642823438336000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1792 divisors.
12642823438336000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 12642823438336000:
227 × 53 × 73 × 133
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 13)See below for interesting mathematical facts about the number 12642823438336000 from the Numbermatics database.
Names of 12642823438336000
- Cardinal: 12642823438336000 can be written as Twelve quadrillion, six hundred forty-two trillion, eight hundred twenty-three billion, four hundred thirty-eight million, three hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.2642823438336 × 1016
Factors of 12642823438336000
Divisors of 12642823438336000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 128 130 140 160 169 175 182 196 200 208 224 245 250 256 260 280 320 325 338 343 350 364 392 400 416 448 455 490 500 512 520 560 637 640 650 676 686 700 728 784 800 832 845 875 896 910 980 1000 1024 1040 1120 1183 1225 1274 1280 1300 1352 1372 1400 1456 1568 1600 1625 1664 1690 1715 1750 1792 1820 1960 2000 2048 2080 2197 2240 2275 2366 2450 2548 2560 2600 2704 2744 2800 2912 3136 3185 3200 3250 3328 3380 3430 3500 3584 3640 3920 4000 4096 4160 4225 4394 4459 4480 4550 4732 4900 5096 5120 5200 5408 5488 5600 5824 5915 6125 6272 6370 6400 6500 6656 6760 6860 7000 7168 7280 7840 8000 8192 8281 8320 8450 8575 8788 8918 8960 9100 9464 9800 10192 10240 10400 10816 10976 10985 11200 11375 11648 11830 12250 12544 12740 12800 13000 13312 13520 13720 14000 14336 14560 15379 15680 15925 16000 16384 16562 16640 16900 17150 17576 17836 17920 18200 18928 19600 20384 20480 20800 21125 21632 21952 21970 22295 22400 22750 23296 23660 24500 25088 25480 25600 26000 26624 27040 27440 28000 28672 29120 29575 30758 31360 31850 32000 32768 33124 33280 33800 34300 35152 35672 35840 36400 37856 39200 40768 40960 41405 41600 42250 42875 43264 43904 43940 44590 44800 45500 46592 47320 49000 50176 50960 51200 52000 53248 54080 54880 54925 56000 57344 57967 58240 59150 61516 62720 63700 64000 65536 66248 66560 67600 68600 70304 71344 71680 72800 75712 76895 78400 79625 81536 81920 82810 83200 84500 85750 86528 87808 87880 89180 89600 91000 93184 94640 98000 100352 101920 102400 104000 106496 107653 108160 109760 109850 111475 112000 114688 115934 116480 118300 123032 125440 127400 128000 131072 132496 133120 135200 137200 140608 142688 143360 145600 147875 151424 153790 156800 159250 163072 163840 165620 166400 169000 171500 173056 175616 175760 178360 179200 182000 186368 189280 196000 200704 203840 204800 207025 208000 212992 215306 216320 219520 219700 222950 224000 229376 231868 232960 236600 246064 250880 254800 256000 262144 264992 266240 270400 274400 274625 281216 285376 286720 289835 291200 295750 302848 307580 313600 318500 326144 327680 331240 332800 338000 343000 346112 351232 351520 356720 358400 364000 372736 378560 384475 392000 401408 407680 409600 414050 416000 425984 430612 432640 439040 439400 445900 448000 458752 463736 465920 473200 492128 501760 509600 512000 524288 529984 532480 538265 540800 548800 549250 557375 562432 570752 573440 579670 582400 591500 605696 615160 627200 637000 652288 655360 662480 665600 676000 686000 692224 702464 703040 713440 716800 728000 745472 753571 757120 768950 784000 802816 815360 819200 828100 832000 851968 861224 865280 878080 878800 891800 896000 917504 927472 931840 946400 984256 1003520 1019200 1024000 1035125 1048576 1059968 1064960 1076530 1081600 1097600 1098500 1114750 1124864 1141504 1146880 1159340 1164800 1183000 1211392 1230320 1254400 1274000 1304576 1310720 1324960 1331200 1352000 1372000 1384448 1404928 1406080 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2170814464000 2257647042560 2303721472000 2337800192000 2431312199680 2469301452800 2480930816000 2580168048640 2671771648000 2778642513920 2822058803200 2835349504000 2877292544000 2992384245760 3039140249600 3086626816000 3160705859584 3225210060800 3473303142400 3527573504000 3612235268096 3685954355200 3740480307200 3798925312000 3890099519488 3950882324480 3969489305600 4031512576000 4341628928000 4515294085120 4607442944000 4675600384000 4862624399360 4938602905600 4961861632000 5160336097280 5343543296000 5557285027840 5644117606400 5754585088000 6078280499200 6173253632000 6321411719168 6450420121600 6946606284800 7055147008000 7224470536192 7371908710400 7480960614400 7597850624000 7780199038976 7901764648960 8063025152000 8683257856000 9030588170240 9214885888000 9351200768000 9725248798720 9877205811200 9923723264000 10320672194560 10687086592000 11288235212800 12156560998400 12346507264000 12642823438336 12900840243200 13893212569600 14110294016000 14448941072384 14961921228800 15195701248000 15803529297920 16126050304000 17366515712000 18061176340480 18429771776000 18702401536000 19450497597440 19754411622400 19847446528000 22576470425600 24313121996800 24693014528000 25285646876672 25801680486400 27786425139200 28220588032000 30391402496000 31607058595840 32252100608000 34733031424000 36122352680960 36859543552000 37404803072000 38900995194880 39508823244800 45152940851200 48626243993600 49386029056000 50571293753344 51603360972800 56441176064000 60782804992000 63214117191680 64504201216000 69466062848000 72244705361920 74809606144000 79017646489600 90305881702400 97252487987200 98772058112000 101142587506688 112882352128000 121565609984000 126428234383360 129008402432000 138932125696000 158035292979200 180611763404800 194504975974400 197544116224000 225764704256000 243131219968000 252856468766720 258016804864000 316070585958400 361223526809600 395088232448000 451529408512000 486262439936000 505712937533440 632141171916800 790176464896000 903058817024000 972524879872000 1264282343833600 1580352929792000 1806117634048000 2528564687667200 3160705859584000 6321411719168000 12642823438336000
- Sum of all divisors σ(n): 39865886292960000
- Sum of proper divisors (its aliquot sum) s(n): 27223062854624000
- 12642823438336000 is an abundant number, because the sum of its proper divisors (27223062854624000) is greater than itself. Its abundance is 14580239416288000
Bases of 12642823438336000
- Binary: 1011001110101010010100101110000000000000000000000000002
- Hexadecimal: 0x2CEA94B8000000
- Base-36: 3GHI8WN5O1S
Squares and roots of 12642823438336000
- 12642823438336000 squared (126428234383360002) is 159840984492938117194448896000000
- 12642823438336000 cubed (126428234383360003) is 2020841345154019144339196513219359277056000000000
-
The
square root of 12642823438336000 is 112440310.5578066251 -
12642823438336000 is a
perfect cube number . Itscube root is 232960
Scales and comparisons
How big is 12642823438336000?- 12,642,823,438,336,000 seconds is equal to 402,002,678 years, 26 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 12,642,823,438,336,000 would take you about one billion, two hundred six million, eight thousand and thirty-five 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 12642823438336000 cubic inches would be around 19413.3 feet tall.
Recreational maths with 12642823438336000
- 12642823438336000 backwards is 00063383432824621
- The number of decimal digits it has is: 17
- The sum of 12642823438336000's digits is 55
- More coming soon!
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"Number 12642823438336000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 12642823438336000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/12642823438336000/
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The information we have on file for 12642823438336000 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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