13284162688000
13,284,162,688,000 is an even composite number composed of five prime numbers multiplied together.
13284162688000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 13284162688000:
210 × 53 × 372 × 41 × 432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 37 × 37 × 41 × 43 × 43)See below for interesting mathematical facts about the number 13284162688000 from the Numbermatics database.
Names of 13284162688000
- Cardinal: 13284162688000 can be written as Thirteen trillion, two hundred eighty-four billion, one hundred sixty-two million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.3284162688 × 1013
Factors of 13284162688000
Divisors of 13284162688000
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 37 40 41 43 50 64 74 80 82 86 100 125 128 148 160 164 172 185 200 205 215 250 256 296 320 328 344 370 400 410 430 500 512 592 640 656 688 740 800 820 860 925 1000 1024 1025 1075 1184 1280 1312 1369 1376 1480 1517 1591 1600 1640 1720 1763 1849 1850 2000 2050 2150 2368 2560 2624 2738 2752 2960 3034 3182 3200 3280 3440 3526 3698 3700 4000 4100 4300 4625 4736 5120 5125 5248 5375 5476 5504 5920 6068 6364 6400 6560 6845 6880 7052 7396 7400 7585 7955 8000 8200 8600 8815 9245 9250 9472 10250 10496 10750 10952 11008 11840 12136 12728 12800 13120 13690 13760 14104 14792 14800 15170 15910 16000 16400 17200 17630 18490 18500 18944 20500 20992 21500 21904 22016 23680 24272 25456 25600 26240 27380 27520 28208 29584 29600 30340 31820 32000 32800 34225 34400 35260 36980 37000 37888 37925 39775 41000 41984 43000 43808 44032 44075 46225 47360 48544 50912 52480 54760 55040 56129 56416 58867 59168 59200 60680 63640 64000 65231 65600 68413 68450 68800 70520 73960 74000 75809 75850 79550 82000 86000 87616 88150 92450 94720 97088 101824 104960 109520 110080 112258 112832 117734 118336 118400 121360 127280 128000 130462 131200 136826 136900 137600 141040 147920 148000 151618 151700 159100 164000 171125 172000 175232 176300 184900 189440 189625 194176 198875 203648 209920 219040 220160 220375 224516 225664 231125 235468 236672 236800 242720 254560 260924 262400 273652 273800 275200 280645 282080 294335 295840 296000 303236 303400 318200 326155 328000 342065 342250 344000 350464 352600 369800 379045 379250 388352 397750 407296 438080 440750 449032 451328 462250 470936 473344 473600 485440 509120 521848 524800 547304 547600 550400 561290 564160 588670 591680 592000 606472 606800 636400 652310 656000 684130 684500 688000 700928 705200 739600 758090 758500 776704 795500 814592 876160 881500 898064 902656 924500 941872 946688 947200 970880 1018240 1043696 1049600 1094608 1095200 1100800 1122580 1128320 1177340 1183360 1184000 1212944 1213600 1272800 1304620 1312000 1368260 1369000 1376000 1401856 1403225 1410400 1471675 1479200 1516180 1517000 1553408 1591000 1629184 1630775 1710325 1752320 1763000 1796128 1805312 1849000 1883744 1893376 1895225 1941760 2036480 2087392 2189216 2190400 2245160 2256640 2354680 2366720 2368000 2413547 2425888 2427200 2531281 2545600 2609240 2624000 2736520 2738000 2752000 2804933 2806450 2820800 2943350 2958400 3032360 3034000 3182000 3261550 3420650 3504640 3526000 3592256 3698000 3767488 3790450 3883520 4072960 4174784 4378432 4380800 4490320 4513280 4709360 4733440 4736000 4827094 4851776 4854400 5062562 5091200 5218480 5248000 5473040 5476000 5504000 5609866 5612900 5641600 5886700 5916800 6064720 6068000 6364000 6523100 6841300 7009280 7016125 7052000 7184512 7358375 7396000 7534976 7580900 7767040 8145920 8153875 8349568 8551625 8756864 8761600 8980640 9026560 9418720 9466880 9476125 9654188 9703552 9708800 10125124 10182400 10436960 10946080 10952000 11219732 11225800 11283200 11773400 11833600 12067735 12129440 12136000 12656405 12728000 13046200 13682600 14024665 14032250 14104000 14369024 14716750 14792000 15069952 15161800 16307750 16699136 17103250 17513728 17523200 17961280 18837440 18952250 19308376 19407104 19417600 20250248 20364800 20873920 21892160 21904000 22439464 22451600 22566400 23546800 23667200 24135470 24258880 24272000 25312810 25456000 26092400 27365200 28049330 28064500 28208000 28738048 29433500 29584000 30139904 30323600 32615500 33398272 34206500 35027456 35046400 35922560 37674880 37904500 38616752 38814208 38835200 40500496 40729600 41747840 43784320 43808000 44878928 44903200 45132800 47093600 47334400 48270940 48517760 48544000 50625620 50912000 52184800 54730400 56098660 56129000 56416000 57476096 58867000 59168000 60279808 60338675 60647200 63282025 65231000 66796544 68413000 70054912 70123325 71845120 75349760 75809000 77233504 77628416 81000992 83495680 87568640 87616000 89757856 89806400 94187200 96541880 97035520 97088000 101251240 101824000 103782521 104369600 109460800 112197320 112258000 112832000 117734000 118336000 120677350 121294400 126564050 130462000 136826000 140246650 143690240 150699520 151618000 154467008 162001984 166991360 175137280 175232000 179515712 179612800 188374400 193083760 194071040 194176000 202502480 203648000 207565042 208739200 218921600 224394640 224516000 225664000 235468000 236672000 241354700 242588800 253128100 260924000 273652000 280493300 287380480 301399040 301693375 303236000 308934016 316410125 324003968 333982720 350274560 350616625 359031424 359225600 376748800 386167520 388142080 405004960 415130084 417478400 437843200 448789280 449032000 470936000 482709400 485177600 506256200 518912605 521848000 547304000 560986600 603386750 606472000 617868032 632820250 648007936 701233250 718062848 718451200 753497600 772335040 810009920 830260168 834956800 875686400 897578560 898064000 941872000 965418800 970355200 1012512400 1037825210 1043696000 1094608000 1121973200 1206773500 1212944000 1235736064 1265640500 1296015872 1402466500 1436125696 1436902400 1506995200 1544670080 1620019840 1660520336 1669913600 1751372800 1795157120 1796128000 1883744000 1930837600 1940710400 2025024800 2075650420 2087392000 2189216000 2243946400 2413547000 2425888000 2471472128 2531281000 2592031744 2594563025 2804933000 2872251392 3089340160 3240039680 3321040672 3590314240 3592256000 3767488000 3861675200 4050049600 4151300840 4174784000 4378432000 4487892800 4827094000 4851776000 5062562000 5189126050 5609866000 6178680320 6480079360 6642081344 7180628480 7184512000 7534976000 7723350400 8100099200 8302601680 8349568000 8756864000 8975785600 9654188000 9703552000 10125124000 10378252100 11219732000 12357360640 12960158720 12972815125 13284162688 14361256960 15446700800 16200198400 16605203360 17951571200 19308376000 20250248000 20756504200 22439464000 25945630250 26568325376 30893401600 32400396800 33210406720 35903142400 38616752000 40500496000 41513008400 44878928000 51891260500 53136650752 61786803200 64800793600 66420813440 71806284800 77233504000 81000992000 83026016800 89757856000 103782521000 106273301504 132841626880 154467008000 162001984000 166052033600 179515712000 207565042000 265683253760 308934016000 324003968000 332104067200 359031424000 415130084000 531366507520 664208134400 830260168000 1328416268800 1660520336000 2656832537600 3321040672000 6642081344000 13284162688000
- Sum of all divisors σ(n): 35722055658744
- Sum of proper divisors (its aliquot sum) s(n): 22437892970744
- 13284162688000 is an abundant number, because the sum of its proper divisors (22437892970744) is greater than itself. Its abundance is 9153730282744
Bases of 13284162688000
- Binary: 110000010100111101011100110001010100000000002
- Hexadecimal: 0xC14F5CC5400
- Base-36: 4PINRH6V4
Squares and roots of 13284162688000
- 13284162688000 squared (132841626880002) is 176468978321251385344000000
- 13284162688000 cubed (132841626880003) is 2344242617404648530655074844672000000000
-
The
square root of 13284162688000 is 3644744.5298676285 -
The
cube root of 13284162688000 is 23683.4370011171
Scales and comparisons
How big is 13284162688000?- 13,284,162,688,000 seconds is equal to 422,395 years, 14 weeks, 4 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,284,162,688,000 would take you about one million, fifty-five thousand, nine hundred eighty-eight 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 13284162688000 cubic inches would be around 1973.6 feet tall.
Recreational maths with 13284162688000
- 13284162688000 backwards is 00088626148231
- The number of decimal digits it has is: 14
- The sum of 13284162688000's digits is 49
- More coming soon!
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The information we have on file for 13284162688000 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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