12589680017408000
12,589,680,017,408,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 12589680017408000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
12589680017408000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12589680017408000:
217 × 53 × 132 × 29 × 83 × 1889
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 29 × 83 × 1889)See below for interesting mathematical facts about the number 12589680017408000 from the Numbermatics database.
Names of 12589680017408000
- Cardinal: 12589680017408000 can be written as Twelve quadrillion, five hundred eighty-nine trillion, six hundred eighty billion, seventeen million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.2589680017408 × 1016
Factors of 12589680017408000
Divisors of 12589680017408000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 32 40 50 52 58 64 65 80 83 100 104 116 125 128 130 145 160 166 169 200 208 232 250 256 260 290 320 325 332 338 377 400 415 416 464 500 512 520 580 640 650 664 676 725 754 800 830 832 845 928 1000 1024 1040 1079 1160 1280 1300 1328 1352 1450 1508 1600 1625 1660 1664 1690 1856 1885 1889 2000 2048 2075 2080 2158 2320 2407 2560 2600 2656 2704 2900 3016 3200 3250 3320 3328 3380 3625 3712 3770 3778 4000 4096 4150 4160 4225 4316 4640 4814 4901 5120 5200 5312 5395 5408 5800 6032 6400 6500 6640 6656 6760 7250 7424 7540 7556 8000 8192 8300 8320 8450 8632 9280 9425 9445 9628 9802 10240 10375 10400 10624 10790 10816 11600 12035 12064 12800 13000 13280 13312 13520 14027 14500 14848 15080 15112 16000 16384 16600 16640 16900 17264 18560 18850 18890 19256 19604 20480 20750 20800 21125 21248 21580 21632 23200 24070 24128 24505 24557 25600 26000 26560 26624 26975 27040 28054 29000 29696 30160 30224 31291 32000 32768 33200 33280 33800 34528 37120 37700 37780 38512 39208 40960 41500 41600 42250 42496 43160 43264 46400 47125 47225 48140 48256 49010 49114 51200 52000 53120 53248 53950 54080 54781 56108 58000 59392 60175 60320 60448 62582 64000 65536 66400 66560 67600 69056 70135 74240 75400 75560 77024 78416 81920 83000 83200 84500 84992 86320 86528 92800 94250 94450 96280 96512 98020 98228 102400 104000 106240 106496 107900 108160 109562 112216 116000 118784 120350 120640 120896 122525 122785 125164 128000 131072 132800 133120 134875 135200 138112 140270 148480 150800 151120 154048 156455 156787 156832 163840 166000 166400 169000 169984 172640 173056 185600 188500 188900 192560 193024 196040 196456 204800 208000 212480 212992 215800 216320 219124 224432 232000 236125 237568 240700 241280 241792 245050 245570 250328 256000 265600 266240 269750 270400 273905 276224 280540 296960 300875 301600 302240 308096 312910 313574 313664 319241 327680 332000 332800 338000 339968 345280 346112 350675 371200 377000 377800 385120 386048 392080 392912 406783 409600 416000 424960 425984 431600 432640 438248 448864 464000 472250 475136 481400 482560 483584 490100 491140 500656 512000 531200 532480 539500 540800 547810 552448 561080 593920 601750 603200 604480 612625 613925 616192 625820 627148 627328 638482 655360 664000 665600 676000 679936 690560 692224 701350 712153 742400 754000 755600 770240 772096 782275 783935 784160 785824 813566 819200 832000 849920 851968 863200 865280 876496 897728 928000 944500 950272 962800 965120 967168 980200 982280 1001312 1024000 1062400 1064960 1079000 1081600 1095620 1104896 1122160 1187840 1203500 1206400 1208960 1225250 1227850 1232384 1251640 1254296 1254656 1276964 1328000 1331200 1352000 1359872 1369525 1381120 1384448 1402700 1424306 1484800 1508000 1511200 1540480 1544192 1564550 1567870 1568320 1571648 1596205 1627132 1638400 1664000 1699840 1703936 1726400 1730560 1752992 1753375 1795456 1856000 1889000 1900544 1925600 1930240 1934336 1960400 1964560 2002624 2033915 2038231 2048000 2124800 2129920 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3073652348000 3147420004352 3332366336000 3339437670400 3391616384000 3473015177216 3724757401600 3782956736000 3792072294400 3873747697664 3934275005440 4174297088000 4341268971520 4655946752000 4740090368000 4842184622080 4917843756800 5230444544000 5426586214400 5833957376000 6052730777600 6067315671040 6147304696000 6294840008704 6664732672000 6678875340800 6783232768000 7449514803200 7565913472000 7584144588800 7747495395328 7868550010880 8348594176000 8682537943040 9311893504000 9480180736000 9684369244160 9835687513600 10853172428800 11667914752000 12105461555200 12294609392000 12589680017408 13566465536000 14899029606400 15131826944000 15168289177600 15737100021760 16697188352000 17365075886080 18623787008000 18960361472000 19368738488320 19671375027200 21706344857600 24210923110400 24589218784000 25179360034816 27132931072000 30263653888000 30336578355200 31474200043520 33394376704000 37247574016000 37920722944000 38737476976640 39342750054400 43412689715200 48421846220800 49178437568000 50358720069632 54265862144000 60527307776000 62948400087040 74495148032000 75841445888000 78685500108800 86825379430400 96843692441600 98356875136000 100717440139264 108531724288000 121054615552000 125896800174080 151682891776000 157371000217600 193687384883200 196713750272000 217063448576000 242109231104000 251793600348160 314742000435200 393427500544000 434126897152000 484218462208000 503587200696320 629484000870400 786855001088000 968436924416000 1258968001740800 1573710002176000 2517936003481600 3147420004352000 6294840008704000 12589680017408000
- Sum of all divisors σ(n): 35643168056059200
- Sum of proper divisors (its aliquot sum) s(n): 23053488038651200
- 12589680017408000 is an abundant number, because the sum of its proper divisors (23053488038651200) is greater than itself. Its abundance is 10463808021243200
Bases of 12589680017408000
- Binary: 1011001011101000111111010011010100011000000000000000002
- Hexadecimal: 0x2CBA3F4D460000
- Base-36: 3FYO35MGJCW
Squares and roots of 12589680017408000
- 12589680017408000 squared (125896800174080002) is 158500042940722299183038464000000
- 12589680017408000 cubed (125896800174080003) is 1995464823369121463090809473629853581312000000000
-
The
square root of 12589680017408000 is 112203743.3306393749 -
The
cube root of 12589680017408000 is 232633.1300132557
Scales and comparisons
How big is 12589680017408000?- 12,589,680,017,408,000 seconds is equal to 400,312,882 years, 6 weeks, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 12,589,680,017,408,000 would take you about one billion, two hundred million, nine hundred thirty-eight 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 12589680017408000 cubic inches would be around 19386.1 feet tall.
Recreational maths with 12589680017408000
- 12589680017408000 backwards is 00080471008698521
- The number of decimal digits it has is: 17
- The sum of 12589680017408000's digits is 59
- More coming soon!
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Numbermatics. (2024). Number 12589680017408000 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/12589680017408000/
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The information we have on file for 12589680017408000 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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