13948623014400
13,948,623,014,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13948623014400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1620 divisors.
13948623014400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 13948623014400:
29 × 38 × 52 × 37 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 37 × 67 × 67)See below for interesting mathematical facts about the number 13948623014400 from the Numbermatics database.
Names of 13948623014400
- Cardinal: 13948623014400 can be written as Thirteen trillion, nine hundred forty-eight billion, six hundred twenty-three million, fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.39486230144 × 1013
Factors of 13948623014400
Divisors of 13948623014400
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 37 40 45 48 50 54 60 64 67 72 74 75 80 81 90 96 100 108 111 120 128 134 135 144 148 150 160 162 180 185 192 200 201 216 222 225 240 243 256 268 270 288 296 300 320 324 333 335 360 370 384 400 402 405 432 444 450 480 486 512 536 540 555 576 592 600 603 640 648 666 670 675 720 729 740 768 800 804 810 864 888 900 925 960 972 999 1005 1072 1080 1110 1152 1184 1200 1206 1215 1280 1296 1332 1340 1350 1440 1458 1480 1536 1600 1608 1620 1665 1675 1728 1776 1800 1809 1850 1920 1944 1998 2010 2025 2144 2160 2187 2220 2304 2368 2400 2412 2430 2479 2560 2592 2664 2680 2700 2775 2880 2916 2960 2997 3015 3200 3216 3240 3330 3350 3456 3552 3600 3618 3645 3700 3840 3888 3996 4020 4050 4288 4320 4374 4440 4489 4608 4736 4800 4824 4860 4958 4995 5025 5184 5328 5360 5400 5427 5550 5760 5832 5920 5994 6030 6075 6400 6432 6480 6561 6660 6700 6912 7104 7200 7236 7290 7400 7437 7680 7776 7992 8040 8100 8325 8576 8640 8748 8880 8978 8991 9045 9472 9600 9648 9720 9916 9990 10050 10368 10656 10720 10800 10854 10935 11100 11520 11664 11840 11988 12060 12150 12395 12800 12864 12960 13122 13320 13400 13467 13824 14208 14400 14472 14580 14800 14874 14985 15075 15552 15984 16080 16200 16281 16650 17152 17280 17496 17760 17956 17982 18090 18225 18944 19200 19296 19440 19832 19980 20100 20736 21312 21440 21600 21708 21870 22200 22311 22445 23040 23328 23680 23976 24120 24300 24790 24975 25728 25920 26244 26640 26800 26934 26973 27135 28416 28800 28944 29160 29600 29748 29970 30150 31104 31968 32160 32400 32562 32805 33300 34304 34560 34992 35520 35912 35964 36180 36450 37185 38400 38592 38880 39664 39960 40200 40401 41472 42624 42880 43200 43416 43740 44400 44622 44890 44955 45225 46656 47360 47952 48240 48600 48843 49580 49950 51456 51840 52488 53280 53600 53868 53946 54270 54675 56832 57600 57888 58320 59200 59496 59940 60300 61975 62208 63936 64320 64800 65124 65610 66600 66933 67335 69120 69984 71040 71824 71928 72360 72900 74370 74925 77184 77760 79328 79920 80400 80802 80919 81405 85248 85760 86400 86832 87480 88800 89244 89780 89910 90450 93312 94720 95904 96480 97200 97686 99160 99900 102912 103680 104976 106560 107200 107736 107892 108540 109350 111555 112225 115200 115776 116640 118400 118992 119880 120600 121203 123950 124416 127872 128640 129600 130248 131220 133200 133866 134670 134865 135675 139968 142080 143648 143856 144720 145800 146529 148740 149850 154368 155520 158656 159840 160800 161604 161838 162810 164025 166093 170496 171520 172800 173664 174960 177600 178488 179560 179820 180900 185925 186624 191808 192960 194400 195372 198320 199800 200799 202005 207360 209952 213120 214400 215472 215784 217080 218700 223110 224450 224775 231552 233280 236800 237984 239760 241200 242406 242757 244215 247900 255744 257280 259200 260496 262440 266400 267732 269340 269730 271350 279936 284160 287296 287712 289440 291600 293058 297480 299700 308736 311040 317312 319680 321600 323208 323676 325620 328050 332186 334665 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10843146 10908270 10989675 11423232 11491840 11508480 11577600 11635488 11722320 11899200 11958696 12047940 12120300 12137850 12456975 12503808 12787200 12851136 12928320 12947040 13024800 13089924 13287440 13386600 13453533 13810176 13893120 13996800 14066784 14279040 14364800 14385600 14457528 14544360 14652900 14948370 15059925 15513984 15536448 15629760 15865600 15944928 16063920 16160400 16183800 16264719 16362405 16609300 16796160 17134848 17237760 17262720 17366400 17453232 17583480 17848800 17938044 18071910 18180450 18755712 19038720 19180800 19276704 19392480 19420560 19537200 19634886 19931160 20079900 20685312 20715264 20839680 20995200 21259904 21418560 21547200 21578400 21686292 21816540 21979350 22422555 23016960 23155200 23270976 23444640 23798400 23917392 24095880 24240600 24275700 24913950 25007616 25702272 25856640 25894080 26049600 26179848 26574880 26773200 26907066 27107865 27270675 27993600 28133568 28558080 28729600 28771200 28915056 29088720 29305800 29452329 29896740 30119850 31027968 31072896 31259520 31731200 31889856 32127840 32320800 32367600 32529438 32724810 33218600 34269696 34475520 34525440 34732800 34906464 35166960 35697600 35876088 36143820 36360900 37370925 37511424 38361600 38553408 38784960 38841120 39074400 39269772 39862320 40159800 40360599 41430528 41679360 41990400 42519808 42837120 43094400 43156800 43372584 43633080 43958700 44845110 45179775 46541952 46889280 47596800 47834784 48191760 48481200 48551400 49087215 49827900 51404544 51713280 51788160 52099200 52359696 53149760 53546400 53814132 54215730 54541350 56267136 57116160 57459200 57542400 57830112 58177440 58611600 58904658 59793480 60239700 62055936 62145792 62519040 63779712 64255680 64641600 64735200 65058876 65449620 66437200 67267665 69050880 69465600 69812928 70333920 71395200 71752176 72287640 72721800 74741850 75022848 77106816 77569920 77682240 78148800 78539544 79724640 80319600 80721198 81323595 81812025 83980800 85039616 85674240 86188800 86313600 86745168 87266160 87917400 89690220 90359550 93083904 93778560 95193600 95669568 96383520 96962400 97102800 98174430 99655800 102809088 103426560 103576320 104198400 104719392 106299520 107092800 107628264 108431460 109082700 112112775 112534272 115084800 115660224 116354880 117223200 117809316 119586960 120479400 121081797 124291584 125038080 127559424 128511360 129283200 129470400 130117752 130899240 132874400 134535330 135539325 139625856 140667840 142790400 143504352 144575280 145443600 147261645 149483700 154213632 155139840 155364480 156297600 157079088 159449280 160639200 161442396 162647190 163624050 171348480 172377600 172627200 173490336 174532320 175834800 179380440 180719100 186167808 187557120 191339136 192767040 193924800 194205600 196348860 199311600 201802995 207152640 208396800 209438784 212599040 214185600 215256528 216862920 218165400 224225550 225068544 231320448 232709760 234446400 235618632 239173920 240958800 242163594 245436075 255118848 257022720 258566400 258940800 260235504 261798480 265748800 269070660 271078650 279251712 281335680 285580800 287008704 289150560 290887200 294523290 298967400 308427264 310279680 310728960 312595200 314158176 318898560 321278400 322884792 325294380 327248100 336338325 345254400 346980672 349064640 351669600 358760880 361438200 363245391 375114240 382678272 385534080 387849600 388411200 392697720 398623200 403605990 406617975 418877568 425198080 428371200 430513056 433725840 436330800 448451100 462640896 465419520 468892800 471237264 478347840 481917600 484327188 490872150 514045440 517132800 517881600 520471008 523596960 531497600 538141320 542157300 558503424 562671360 574017408 578301120 581774400 589046580 597934800 605408985 621457920 625190400 628316352 637797120 642556800 645769584 650588760 654496200 672676650 693961344 698129280 703339200 717521760 722876400 726490782 736308225 765356544 771068160 775699200 776822400 785395440 797246400 807211980 813235950 837755136 856742400 861026112 867451680 872661600 896902200 925281792 930839040 937785600 942474528 956695680 963835200 968654376 981744300 1009014975 1035763200 1040942016 1047193920 1062995200 1076282640 1084314600 1089736173 1125342720 1148034816 1156602240 1163548800 1178093160 1195869600 1210817970 1256632704 1275594240 1285113600 1291539168 1301177520 1308992400 1345353300 1387922688 1396258560 1406678400 1435043520 1445752800 1452981564 1472616450 1542136320 1551398400 1553644800 1570790880 1594492800 1614423960 1626471900 1675510272 1722052224 1734903360 1745323200 1793804400 1816226955 1875571200 1884949056 1913391360 1927670400 1937308752 1963488600 2018029950 2081884032 2094387840 2125990400 2152565280 2168629200 2179472346 2296069632 2313204480 2327097600 2356186320 2391739200 2421635940 2513265408 2570227200 2583078336 2602355040 2617984800 2690706600 2775845376 2792517120 2813356800 2870087040 2891505600 2905963128 2945232900 3027044925 3107289600 3141581760 3188985600 3228847920 3252943800 3444104448 3469806720 3490646400 3587608800 3632453910 3769898112 3826782720 3855340800 3874617504 3926977200 4036059900 4163768064 4188775680 4305130560 4337258400 4358944692 4626408960 4654195200 4712372640 4783478400 4843271880 5026530816 5166156672 5204710080 5235969600 5381413200 5448680865 5626713600 5740174080 5783011200 5811926256 5890465800 6054089850 6283163520 6377971200 6457695840 6505887600 6888208896 6939613440 6981292800 7175217600 7264907820 7539796224 7710681600 7749235008 7853954400 8072119800 8327536128 8377551360 8610261120 8674516800 8717889384 9081134775 9424745280 9566956800 9686543760 10332313344 10409420160 10471939200 10762826400 10897361730 11480348160 11566022400 11623852512 11780931600 12108179700 12566327040 12915391680 13011775200 13879226880 13962585600 14350435200 14529815640 15079592448 15498470016 15707908800 16144239600 17220522240 17349033600 17435778768 18162269550 18849490560 19133913600 19373087520 20664626688 20818840320 20943878400 21525652800 21794723460 23132044800 23247705024 23561863200 24216359400 25132654080 25830783360 26023550400 27243404325 28700870400 29059631280 30996940032 31415817600 32288479200 34441044480 34698067200 34871557536 36324539100 37698981120 38746175040 41637680640 41887756800 43051305600 43589446920 46495410048 47123726400 48432718800 51661566720 52047100800 54486808650 57401740800 58119262560 61993880064 62831635200 64576958400 69396134400 69743115072 72649078200 75397962240 77492350080 86102611200 87178893840 92990820096 94247452800 96865437600 103323133440 104094201600 108973617300 116238525120 125663270400 129153916800 139486230144 145298156400 154984700160 172205222400 174357787680 185981640192 188494905600 193730875200 208188403200 217947234600 232477050240 258307833600 278972460288 290596312800 309969400320 348715575360 376989811200 387461750400 435894469200 464954100480 516615667200 557944920576 581192625600 697431150720 774923500800 871788938400 929908200960 1162385251200 1394862301440 1549847001600 1743577876800 2324770502400 2789724602880 3487155753600 4649541004800 6974311507200 13948623014400
- Sum of all divisors σ(n): 54042967056078
- Sum of proper divisors (its aliquot sum) s(n): 40094344041678
- 13948623014400 is an abundant number, because the sum of its proper divisors (40094344041678) is greater than itself. Its abundance is 26145721027278
Bases of 13948623014400
- Binary: 110010101111101010101011100001001010000000002
- Hexadecimal: 0xCAFAAB84A00
- Base-36: 4XZWQ0000
Squares and roots of 13948623014400
- 13948623014400 squared (139486230144002) is 194564083997849342607360000
- 13948623014400 cubed (139486230144003) is 2713901059828056100396932198825984000000
-
The
square root of 13948623014400 is 3734785.5379392269 -
The
cube root of 13948623014400 is 24071.9041595215
Scales and comparisons
How big is 13948623014400?- 13,948,623,014,400 seconds is equal to 443,523 years, 3 weeks, 3 days.
-
To count from 1 to 13,948,623,014,400 would take you about one million, one hundred eight thousand, eight hundred seven 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 13948623014400 cubic inches would be around 2006 feet tall.
Recreational maths with 13948623014400
- 13948623014400 backwards is 00441032684931
- 13948623014400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13948623014400's digits is 45
- More coming soon!
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"Number 13948623014400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 13948623014400 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/13948623014400/
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The information we have on file for 13948623014400 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 13948623014400, math, Factors of 13948623014400, curriculum, school, college, exams, university, Prime factorization of 13948623014400, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred forty-eight billion, six hundred twenty-three million, fourteen thousand, four hundred.