13314734988984000
13,314,734,988,984,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13314734988984000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
13314734988984000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 13314734988984000:
26 × 32 × 53 × 11 × 133 × 19 × 402739
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 13 × 13 × 19 × 402739)See below for interesting mathematical facts about the number 13314734988984000 from the Numbermatics database.
Names of 13314734988984000
- Cardinal: 13314734988984000 can be written as Thirteen quadrillion, three hundred fourteen trillion, seven hundred thirty-four billion, nine hundred eighty-eight million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3314734988984 × 1016
Factors of 13314734988984000
Divisors of 13314734988984000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 19 20 22 24 25 26 30 32 33 36 38 39 40 44 45 48 50 52 55 57 60 64 65 66 72 75 76 78 80 88 90 95 96 99 100 104 110 114 117 120 125 130 132 143 144 150 152 156 160 165 169 171 176 180 190 192 195 198 200 208 209 220 225 228 234 240 247 250 260 264 275 285 286 288 300 304 312 320 325 330 338 342 352 360 375 380 390 396 400 416 418 429 440 450 456 468 475 480 494 495 500 507 520 528 550 570 572 576 585 600 608 624 627 650 660 676 684 704 715 720 741 750 760 780 792 800 825 832 836 845 855 858 880 900 912 936 950 960 975 988 990 1000 1014 1040 1045 1056 1100 1125 1140 1144 1170 1200 1216 1235 1248 1254 1287 1300 1320 1352 1368 1375 1425 1430 1440 1482 1500 1520 1521 1560 1584 1600 1625 1650 1672 1690 1710 1716 1760 1800 1824 1859 1872 1881 1900 1950 1976 1980 2000 2028 2080 2090 2112 2145 2197 2200 2223 2250 2280 2288 2340 2375 2400 2470 2475 2496 2508 2535 2574 2600 2640 2704 2717 2736 2750 2850 2860 2880 2925 2964 3000 3040 3042 3120 3135 3168 3211 3250 3300 3344 3380 3420 3432 3520 3575 3600 3648 3705 3718 3744 3762 3800 3900 3952 3960 4000 4056 4125 4160 4180 4225 4275 4290 4394 4400 4446 4500 4560 4576 4680 4750 4800 4875 4940 4950 5016 5070 5148 5200 5225 5280 5408 5434 5472 5500 5577 5700 5720 5850 5928 6000 6080 6084 6175 6240 6270 6336 6422 6435 6500 6591 6600 6688 6760 6840 6864 7125 7150 7200 7410 7436 7488 7524 7600 7605 7800 7904 7920 8000 8112 8151 8250 8360 8450 8550 8580 8788 8800 8892 9000 9120 9152 9295 9360 9405 9500 9633 9750 9880 9900 10032 10140 10296 10400 10450 10560 10725 10816 10868 10944 10985 11000 11115 11154 11400 11440 11700 11856 12000 12168 12350 12375 12480 12540 12675 12844 12870 13000 13182 13200 13376 13520 13585 13680 13728 14250 14300 14400 14625 14820 14872 15048 15200 15210 15600 15675 15808 15840 16055 16224 16302 16500 16720 16731 16900 17100 17160 17576 17600 17784 17875 18000 18240 18525 18590 18720 18810 19000 19266 19500 19760 19773 19800 20064 20280 20592 20800 20900 21125 21375 21450 21736 21970 22000 22230 22308 22800 22880 23400 23712 24000 24167 24336 24453 24700 24750 25080 25350 25688 25740 26000 26125 26364 26400 27040 27170 27360 27456 27885 28500 28600 28899 29250 29640 29744 30096 30400 30420 30875 31200 31350 31680 32110 32175 32448 32604 32955 33000 33440 33462 33800 34200 34320 35152 35321 35568 35750 36000 37050 37180 37440 37620 38000 38025 38532 39000 39520 39546 39600 40128 40560 40755 41184 41743 41800 42250 42750 42900 43472 43940 44000 44460 44616 45600 45760 46475 46800 47025 47424 48165 48334 48672 48906 49400 49500 50160 50700 51376 51480 52000 52250 52728 52800 53625 54080 54340 54720 54925 55575 55770 57000 57200 57798 58500 59280 59488 60192 60840 61750 62400 62700 63375 64220 64350 65208 65910 66000 66880 66924 67600 67925 68400 68640 70304 70642 71136 71500 72000 72501 74100 74360 75240 76000 76050 77064 78000 78375 79040 79092 79200 80275 81120 81510 82368 83486 83600 83655 84500 85500 85800 86944 87880 88000 88920 89232 91200 92625 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829320148800 840576703850 842278276125 849424879680 853508653140 875393490400 875969407170 884817583000 895288797000 898430161200 910409230016 924634374235 931100348880 934367367648 969896196750 973299341300 980105630400 984817676700 995419780875 1008692044620 1010069412000 1024210383768 1034555943200 1036650186000 1050472188480 1061781099600 1066885816425 1075938180928 1078116193440 1094241863000 1109561249082 1123037701500 1138011537520 1163875436100 1167959209560 1193718396000 1197906881600 1210430453544 1212083294400 1216624176625 1225132038000 1231022095875 1241467131840 1260865055775 1274137319520 1280262979710 1293194929000 1313090235600 1327226374500 1344922726160 1347645241800 1365613845024 1382200248000 1401551051472 1415708132800 1422514421900 1432462075200 1454844295125 1459949011950 1479414998776 1497383602000 1513038066930 1515104118000 1551833914800 1557278946080 1575708282720 1592671649400 1613907271392 1633509384000 1641362794500 1664341873623 1681153407700 1684556552250 1707017306280 1750786980800 1751938814340 1769635166000 1778143027375 1790577594000 1796860322400 1849268748470 1862200697760 1868734735296 1939792393500 1946598682600 1969635353400 1990839561750 2017384089240 2020138824000 2048420767536 2069111886400 2073300372000 2101441759625 2123562199200 2133771632850 2156232386880 2188483726000 2189923517925 2219122498164 2246075403000 2276023075040 2327750872200 2335918419120 2387436792000 2420860907088 2433248353250 2450264076000 2462044191750 2521730111550 2548274639040 2560525959420 2586389858000 2626180471200 2654452749000 2689845452320 2695290483600 2731227690048 2773903122705 2803102102944 2845028843800 2909688590250 2919898023900 2958829997552 2994767204000 3026076133860 3030208236000 3103667829600 3114557892160 3151416565440 3185343298800 3200657449275 3227814542784 3282725589000 3328683747246 3362306815400 3369113104500 3414034612560 3503877628680 3539270332000 3556286054750 3581155188000 3593720644800 3649872529875 3698537496940 3724401395520 3782595167325 3879584787000 3893197365200 3939270706800 3981679123500 4034768178480 4096841535072 4146600744000 4202883519250 4247124398400 4267543265700 4376967452000 4379847035850 4438244996328 4492150806000 4552046150080 4623171871175 4655501744400 4671836838240 4841721814176 4866496706500 4900528152000 4924088383500 5043460223100 5121051918840 5172779716000 5252360942400 5308905498000 5334429082125 5379690904640 5390580967200 5547806245410 5606204205888 5690057687600 5819377180500 5839796047800 5917659995104 5989534408000 6052152267720 6060416472000 6207335659200 6304325278875 6370686597600 6401314898550 6565451178000 6657367494492 6724613630800 6738226209000 6828069225120 7007755257360 7078540664000 7112572109500 7162310376000 7299745059750 7397074993880 7565190334650 7759169574000 7786394730400 7878541413600 7963358247000 8069536356960 8193683070144 8321709368115 8405767038500 8535086531400 8753934904000 8759694071700 8876489992656 8984301612000 9246343742350 9311003488800 9343673676480 9683443628352 9732993413000 9848176767000 10086920446200 10242103837680 10345559432000 10617810996000 10668858164250 10781161934400 10949617589625 11095612490820 11380115375200 11638754361000 11679592095600 11835319990208 12104304535440 12608650557750 12741373195200 12802629797100 13130902356000 13314734988984 13449227261600 13476452418000 13656138450240 13869515613525 14015510514720 14225144219000 14599490119500 14794149987760 15130380669300 15518339148000 15572789460800 15757082827200 15926716494000 16003287246375 16139072713920 16643418736230 16811534077000 17070173062800 17519388143400 17752979985312 17968603224000 18492687484700 18622006977600 18912975836625 19465986826000 19696353534000 20173840892400 20484207675360 21235621992000 21337716328500 21899235179250 22191224981640 22760230750400 23115859355875 23277508722000 23359184191200 24208609070880 25217301115500 25605259594200 26261804712000 26629469977968 26898454523200 26952904836000 27739031227050 28031021029440 28450288438000 29198980239000 29588299975520 30260761338600 31036678296000 31853432988000 32006574492750 33286837472460 33623068154000 34140346125600 35038776286800 35505959970624 36985374969400 37825951673250 38931973652000 39392707068000 40347681784800 40968415350720 41608546840575 42675432657000 43798470358500 44382449963280 46231718711750 46555017444000 46718368382400 48417218141760 50434602231000 51210519188400 53258939955936 53905809672000 55478062454100 56900576876000 58397960478000 59176599951040 60521522677200 63706865976000 64013148985500 66573674944920 67246136308000 68280692251200 69347578067625 70077552573600 73970749938800 75651903346500 77863947304000 78785414136000 80695363569600 83217093681150 85350865314000 87596940717000 88764899926560 92463437423500 93110034888000 100869204462000 102421038376800 106517879911872 110956124908200 113801153752000 116795920956000 121043045354400 128026297971000 133147349889840 134492272616000 138695156135250 140155105147200 147941499877600 151303806693000 166434187362300 170701730628000 175193881434000 177529799853120 184926874847000 201738408924000 204842076753600 208042734202875 221912249816400 233591841912000 242086090708800 256052595942000 266294699779680 277390312270500 295882999755200 302607613386000 332868374724600 341403461256000 350387762868000 369853749694000 403476817848000 416085468405750 443824499632800 512105191884000 532589399559360 554780624541000 605215226772000 665736749449200 700775525736000 739707499388000 832170936811500 887648999265600 1024210383768000 1109561249082000 1210430453544000 1331473498898400 1479414998776000 1664341873623000 2219122498164000 2662946997796800 3328683747246000 4438244996328000 6657367494492000 13314734988984000
- Sum of all divisors σ(n): 59249492684928000
- Sum of proper divisors (its aliquot sum) s(n): 45934757695944000
- 13314734988984000 is an abundant number, because the sum of its proper divisors (45934757695944000) is greater than itself. Its abundance is 32620022706960000
Bases of 13314734988984000
- Binary: 1011110100110110101110010100010100101111111110110000002
- Hexadecimal: 0x2F4DAE514BFEC0
- Base-36: 3N3OGT865S0
Squares and roots of 13314734988984000
- 13314734988984000 squared (133147349889840002) is 177282167826874758601352256000000
- 13314734988984000 cubed (133147349889840003) is 2360465082887422928185123589539663547904000000000
-
The
square root of 13314734988984000 is 115389492.5414961689 -
The
cube root of 13314734988984000 is 237015.9151186009
Scales and comparisons
How big is 13314734988984000?- 13,314,734,988,984,000 seconds is equal to 423,367,387 years, 24 weeks, 3 days, 4 hours.
-
To count from 1 to 13,314,734,988,984,000 would take you about one billion, two hundred seventy million, one hundred two thousand, one hundred sixty-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 13314734988984000 cubic inches would be around 19751.3 feet tall.
Recreational maths with 13314734988984000
- 13314734988984000 backwards is 00048988943741331
- 13314734988984000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13314734988984000's digits is 72
- More coming soon!
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Cite this page
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"Number 13314734988984000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13314734988984000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13314734988984000/
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The information we have on file for 13314734988984000 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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