13648431995392000
13,648,431,995,392,000 is an even composite number composed of six prime numbers multiplied together.
13648431995392000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13648431995392000:
212 × 53 × 292 × 37 × 181 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 29 × 29 × 37 × 181 × 4733)See below for interesting mathematical facts about the number 13648431995392000 from the Numbermatics database.
Names of 13648431995392000
- Cardinal: 13648431995392000 can be written as Thirteen quadrillion, six hundred forty-eight trillion, four hundred thirty-one billion, nine hundred ninety-five million, three hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.3648431995392 × 1016
Factors of 13648431995392000
Divisors of 13648431995392000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 37 40 50 58 64 74 80 100 116 125 128 145 148 160 181 185 200 232 250 256 290 296 320 362 370 400 464 500 512 580 592 640 724 725 740 800 841 905 925 928 1000 1024 1073 1160 1184 1280 1448 1450 1480 1600 1682 1810 1850 1856 2000 2048 2146 2320 2368 2560 2896 2900 2960 3200 3364 3620 3625 3700 3712 4000 4096 4205 4292 4525 4625 4640 4733 4736 5120 5249 5365 5792 5800 5920 6400 6697 6728 7240 7250 7400 7424 8000 8410 8584 9050 9250 9280 9466 9472 10240 10498 10730 11584 11600 11840 12800 13394 13456 14480 14500 14800 14848 16000 16820 17168 18100 18500 18560 18932 18944 20480 20996 21025 21460 22625 23168 23200 23665 23680 25600 26245 26788 26825 26912 28960 29000 29600 29696 31117 32000 33485 33640 34336 36200 37000 37120 37864 37888 41992 42050 42920 45250 46336 46400 47330 47360 51200 52490 53576 53650 53824 57920 58000 59200 59392 62234 64000 66970 67280 68672 72400 74000 74240 75728 75776 83984 84100 85840 90500 92672 92800 94660 94720 102400 104980 105125 107152 107300 107648 115840 116000 118325 118400 118784 124468 128000 131225 133940 134125 134560 137257 137344 144800 148000 148480 151456 151552 152221 155585 167425 167968 168200 171680 175121 181000 185344 185600 189320 189440 194213 209960 210250 214304 214600 215296 231680 232000 236650 236800 248936 256000 262450 267880 268250 269120 274514 274688 289600 296000 296960 302912 304442 311170 334850 335936 336400 343360 350242 362000 370688 371200 378640 378880 388426 419920 420500 428608 429200 430592 463360 464000 473300 473600 497872 512000 524900 535760 536500 538240 549028 549376 579200 591625 592000 593920 605824 608884 622340 656125 669700 671872 672800 686285 686720 700484 724000 741376 742400 757280 757760 761105 776852 777925 837125 839840 841000 856673 857216 858400 861184 875605 926720 928000 946600 947200 971065 995744 1049800 1071520 1073000 1076480 1098056 1098752 1158400 1183250 1184000 1211648 1217768 1244680 1312250 1339400 1343744 1345600 1372570 1373440 1400968 1448000 1484800 1514560 1522210 1553704 1555850 1674250 1679680 1682000 1713346 1714432 1716800 1722368 1751210 1853440 1856000 1893200 1894400 1942130 1991488 2099600 2143040 2146000 2152960 2196112 2197504 2316800 2366500 2368000 2423296 2435536 2489360 2624500 2678800 2687488 2691200 2745140 2746880 2801936 2896000 2969600 3029120 3044420 3107408 3111700 3348500 3359360 3364000 3426692 3428864 3431425 3433600 3444736 3502420 3706880 3712000 3786400 3788800 3805525 3884260 3889625 3980453 3982976 4199200 4283365 4286080 4292000 4305920 4378025 4392224 4395008 4633600 4733000 4736000 4846592 4855325 4871072 4978720 5078509 5249000 5357600 5374976 5382400 5490280 5493760 5603872 5632177 5792000 6058240 6088840 6214816 6223400 6697000 6718720 6728000 6853384 6857728 6862850 6867200 7004840 7424000 7572800 7611050 7768520 7779250 7960906 7965952 8398400 8566730 8572160 8584000 8611840 8756050 8784448 9267200 9466000 9472000 9693184 9710650 9742144 9957440 10157018 10498000 10715200 10749952 10764800 10980560 10987520 11207744 11264354 11584000 12116480 12177680 12429632 12446800 13394000 13437440 13456000 13706768 13715456 13725700 13734400 14009680 14848000 15145600 15222100 15537040 15558500 15921812 15931904 16796800 17133460 17144320 17157125 17168000 17223680 17512100 17568896 18534400 18932000 18944000 19027625 19386368 19421300 19484288 19902265 19914880 20314036 20996000 21416825 21430400 21499904 21529600 21890125 21961120 21975040 22415488 22528708 23168000 24232960 24276625 24355360 24843517 24859264 24893600 25392545 26788000 26874880 26912000 27413536 27430912 27451400 27468800 28019360 28160885 30291200 30444200 31074080 31117000 31696901 31843624 31863808 33593600 34266920 34288640 34314250 34336000 35024200 35137792 37864000 38055250 38842600 38968576 39804530 39829760 40628072 41992000 42833650 42860800 43059200 43780250 43922240 44830976 45057416 46336000 48465920 48553250 48710720 49687034 49718528 49787200 50785090 53576000 53749760 53824000 54827072 54902800 54937600 56038720 56321770 60582400 60888400 62148160 62234000 63393802 63687248 63727616 67187200 68533840 68577280 68628500 68672000 70048400 70275584 75728000 76110500 77685200 77937152 79609060 79659520 81256144 83984000 85667300 85721600 86118400 87560500 87844480 89661952 90114832 92672000 96931840 97106500 97421440 99374068 99437056 99511325 99574400 101570180 107084125 107152000 107499520 107648000 109654144 109805600 109875200 112077440 112643540 121164800 121776800 124217585 124296320 124468000 126787604 126962725 127374496 127455232 134374400 137067680 137154560 137257000 137344000 140096800 140551168 140804425 147276761 151456000 152221000 155370400 155874304 158484505 159218120 159319040 162512288 167968000 171334600 171443200 175121000 175688960 179323904 180229664 194213000 194842880 198748136 198874112 199022650 199148800 203140360 214168250 214304000 215296000 219308288 219611200 224154880 225287080 242329600 243553600 248435170 248592640 248936000 253575208 253925450 254748992 268748800 274135360 274514000 274688000 280193600 281102336 281608850 294553522 302912000 304442000 310740800 311748608 316969010 318436240 318638080 325024576 335936000 342669200 342886400 350242000 351377920 358647808 360459328 388426000 389685760 397496272 397748224 398045300 398297600 406280720 428336500 428608000 430592000 438616576 439222400 448309760 450574160 484659200 487107200 496870340 497185280 497556625 497872000 507150416 507850900 509497984 537497600 548270720 549028000 549376000 560387200 562204672 563217700 589107044 605824000 608884000 621087925 621481600 623497216 633938020 634813625 636872480 637276160 650049152 671872000 685338400 685772800 700484000 702755840 704022125 717295616 720461993 720918656 736383805 776852000 779371520 792422525 794992544 795496448 796090600 796595200 812561440 856673000 857216000 877233152 878444800 896619520 901148320 919210129 974214400 993740680 994370560 995113250 995744000 1014300832 1015701800 1018995968 1096541440 1098056000 1120774400 1126435400 1178214088 1211648000 1217768000 1242175850 1242963200 1267876040 1269627250 1273744960 1300098304 1343744000 1370676800 1400968000 1405511680 1408044250 1440923986 1441837312 1472767610 1553704000 1558743040 1584845050 1589985088 1592181200 1593190400 1625122880 1713346000 1714432000 1754466304 1756889600 1793239040 1802296640 1838420258 1948428800 1987481360 1988741120 1990226500 1991488000 2028601664 2031403600 2037991936 2193082880 2196112000 2241548800 2252870800 2356428176 2423296000 2435536000 2484351700 2485926400 2535752080 2539254500 2547489920 2600196608 2687488000 2741353600 2801936000 2811023360 2816088500 2881847972 2883674624 2945535220 3105439625 3107408000 3117486080 3169690100 3179970176 3184362400 3186380800 3250245760 3426692000 3428864000 3508932608 3513779200 3586478080 3602309965 3604593280 3676840516 3681919025 3896857600 3962112625 3974962720 3977482240 3980453000 3982976000 4057203328 4062807200 4075983872 4386165760 4392224000 4483097600 4505741600 4596050645 4712856352 4871072000 4968703400 4971852800 5071504160 5078509000 5094979840 5200393216 5482707200 5603872000 5632177000 5763695944 5767349248 5891070440 6210879250 6214816000 6339380200 6359940352 6368724800 6500491520 6853384000 7027558400 7204619930 7209186560 7353681032 7363838050 7793715200 7924225250 7949925440 7960906000 7965952000 8114406656 8125614400 8151967744 8772331520 8784448000 8966195200 9011483200 9192101290 9425712704 9742144000 9937406800 9943705600 10143008320 10157018000 10189959680 10400786432 10965414400 11207744000 11264354000 11527391888 11534698496 11782140880 12421758500 12429632000 12678760400 12719880704 12737449600 13000983040 13706768000 14055116800 14409239860 14418373120 14707362064 14727676100 15587430400 15848450500 15899850880 15921812000 15931904000 16228813312 16251228800 16303935488 17544663040 17568896000 17932390400 18011549825 18022966400 18384202580 18409595125 18851425408 19484288000 19874813600 19887411200 20286016640 20314036000 20379919360 20801572864 21930828800 22415488000 22528708000 22980253225 23054783776 23069396992 23564281760 24843517000 24859264000 25357520800 25439761408 25474899200 26001966080 26657093741 27413536000 28818479720 28836746240 29414724128 29455352200 31696901000 31799701760 31843624000 32457626624 32502457600 35137792000 36023099650 36045932800 36768405160 36819190250 37702850816 38968576000 39749627200 40572033280 40628072000 40759838720 43861657600 44830976000 45057416000 45960506450 46109567552 47128563520 49687034000 49718528000 50715041600 50879522816 50949798400 52003932160 53314187482 54827072000 57636959440 57673492480 58829448256 58910704400 63393802000 63599403520 63687248000 64915253248 65004915200 70275584000 72046199300 72091865600 73536810320 73638380500 75405701632 77937152000 79499254400 81144066560 81256144000 81519677440 87723315200 89661952000 90057749125 90114832000 91921012900 92219135104 94257127040 99374068000 99437056000 101430083200 101759045632 101899596800 104007864320 106628374964 109654144000 114901266125 115273918880 115346984960 117658896512 117821408800 126787604000 127198807040 127374496000 129830506496 130009830400 133285468705 144092398600 144183731200 147073620640 147276761000 150811403264 158998508800 162288133120 162512288000 180115498250 180229664000 183842025800 184438270208 188514254080 198748136000 202860166400 203799193600 213256749928 219308288000 229802532250 230547837760 235317793024 235642817600 253575208000 254397614080 254748992000 260019660800 266570937410 288184797200 288367462400 294147241280 294553522000 301622806528 317997017600 324576266240 325024576000 360230996500 360459328000 367684051600 368876540416 377028508160 397496272000 405720332800 407598387200 426513499856 438616576000 459605064500 461095675520 470635586048 471285635200 507150416000 508795228160 509497984000 520039321600 533141874820 576369594400 576734924800 588294482560 589107044000 603245613056 635994035200 649152532480 650049152000 666427343525 720461993000 720918656000 735368103200 737753080832 754057016320 794992544000 811440665600 853026999712 919210129000 922191351040 941271172096 942571270400 1014300832000 1018995968000 1066283749640 1152739188800 1176588965120 1178214088000 1271988070400 1300098304000 1332854687050 1440923986000 1441837312000 1470736206400 1475506161664 1508114032640 1589985088000 1622881331200 1706053999424 1838420258000 1844382702080 1882542344192 1885142540800 2028601664000 2037991936000 2132567499280 2305478377600 2353177930240 2356428176000 2543976140800 2600196608000 2665709374100 2881847972000 2883674624000 2941472412800 2951012323328 3016228065280 3179970176000 3245762662400 3332136717625 3412107998848 3676840516000 3688765404160 3765084688384 3770285081600 4057203328000 4265134998560 4610956755200 4706355860480 4712856352000 5331418748200 5763695944000 5882944825600 6359940352000 6664273435250 6824215997696 7353681032000 7377530808320 7540570163200 8114406656000 8530269997120 9221913510400 9412711720960 9425712704000 10662837496400 11527391888000 11765889651200 12719880704000 13328546870500 13648431995392 14707362064000 14755061616640 15081140326400 16228813312000 17060539994240 18443827020800 18825423441920 18851425408000 21325674992800 23054783776000 23531779302400 26657093741000 27296863990784 29414724128000 34121079988480 36887654041600 37702850816000 42651349985600 46109567552000 47063558604800 53314187482000 54593727981568 58829448256000 68242159976960 73775308083200 75405701632000 85302699971200 92219135104000 94127117209600 106628374964000 109187455963136 117658896512000 136484319953920 170605399942400 184438270208000 213256749928000 235317793024000 272968639907840 341210799884800 368876540416000 426513499856000 470635586048000 545937279815680 682421599769600 853026999712000 1364843199539200 1706053999424000 2729686399078400 3412107998848000 6824215997696000 13648431995392000
- Sum of all divisors σ(n): 36438703604188704
- Sum of proper divisors (its aliquot sum) s(n): 22790271608796704
- 13648431995392000 is an abundant number, because the sum of its proper divisors (22790271608796704) is greater than itself. Its abundance is 9141839613404704
Bases of 13648431995392000
- Binary: 1100000111110100101101001101001101001110010000000000002
- Hexadecimal: 0x307D2D34D39000
- Base-36: 3QDYR3LZGN4
Squares and roots of 13648431995392000
- 13648431995392000 squared (136484319953920002) is 186279695932840050709233664000000
- 13648431995392000 cubed (136484319953920003) is 2542425762061667160123000481546699276288000000000
-
The
square root of 13648431995392000 is 116826503.8225145211 -
The
cube root of 13648431995392000 is 238979.6496236855
Scales and comparisons
How big is 13648431995392000?- 13,648,431,995,392,000 seconds is equal to 433,977,920 years, 4 weeks, 1 day, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,648,431,995,392,000 would take you about one billion, three hundred one million, nine hundred thirty-three thousand, seven hundred sixty 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 13648431995392000 cubic inches would be around 19915 feet tall.
Recreational maths with 13648431995392000
- 13648431995392000 backwards is 00029359913484631
- The number of decimal digits it has is: 17
- The sum of 13648431995392000's digits is 67
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13648431995392000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 13648431995392000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13648431995392000/
Chicago style:
Numbermatics. 2024. "Number 13648431995392000 - Facts about the integer". https://numbermatics.com/n/13648431995392000/
The information we have on file for 13648431995392000 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!
Keywords: Divisors of 13648431995392000, math, Factors of 13648431995392000, curriculum, school, college, exams, university, Prime factorization of 13648431995392000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred forty-eight trillion, four hundred thirty-one billion, nine hundred ninety-five million, three hundred ninety-two thousand.