13944138946316800
13,944,138,946,316,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13944138946316800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1620 divisors.
13944138946316800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 13944138946316800:
29 × 52 × 132 × 172 × 29 × 8772
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 17 × 17 × 29 × 877 × 877)See below for interesting mathematical facts about the number 13944138946316800 from the Numbermatics database.
Names of 13944138946316800
- Cardinal: 13944138946316800 can be written as Thirteen quadrillion, nine hundred forty-four trillion, one hundred thirty-eight billion, nine hundred forty-six million, three hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.39441389463168 × 1016
Factors of 13944138946316800
Divisors of 13944138946316800
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 29 32 34 40 50 52 58 64 65 68 80 85 100 104 116 128 130 136 145 160 169 170 200 208 221 232 256 260 272 289 290 320 325 338 340 377 400 416 425 442 464 493 512 520 544 578 580 640 650 676 680 725 754 800 832 845 850 877 884 928 986 1040 1088 1105 1156 1160 1280 1300 1352 1360 1445 1450 1508 1600 1664 1690 1700 1754 1768 1856 1885 1972 2080 2176 2210 2312 2320 2465 2560 2600 2704 2720 2873 2890 2900 3016 3200 3328 3380 3400 3508 3536 3712 3757 3770 3944 4160 4225 4352 4385 4420 4624 4640 4901 4930 5200 5408 5440 5525 5746 5780 5800 6032 6400 6409 6656 6760 6800 7016 7072 7225 7424 7514 7540 7888 8320 8381 8450 8704 8770 8840 9248 9280 9425 9802 9860 10400 10816 10880 11050 11401 11492 11560 11600 12064 12325 12800 12818 13520 13600 14032 14144 14365 14450 14848 14909 15028 15080 15776 16640 16762 16900 17540 17680 18496 18560 18785 18850 19604 19720 20800 21632 21760 21925 22100 22802 22984 23120 23200 24128 24505 24650 25433 25636 27040 27200 28064 28288 28730 28900 29818 30056 30160 31552 32045 33280 33524 33800 35080 35360 36992 37120 37570 37700 39208 39440 41600 41905 43264 43520 43850 44200 45604 45968 46240 46400 48256 48841 49010 49300 50866 51272 54080 54400 56128 56576 57005 57460 57800 59636 60112 60320 63104 64090 67048 67600 70160 70720 71825 73984 74240 74545 75140 75400 78416 78880 83200 83317 83810 86528 87700 88400 91208 91936 92480 92800 93925 96512 97682 98020 98600 101732 102544 108160 108800 108953 112256 113152 114010 114920 115600 119272 120224 120640 122525 126208 127165 128180 134096 135200 140320 141440 143650 147968 148213 149090 150280 150800 156832 157760 160225 166400 166634 167620 175400 176800 182416 183872 184960 185600 187850 193024 193817 195364 196040 197200 203464 205088 209525 216320 217600 217906 224512 228020 229840 231200 238544 240448 241280 244205 245050 252416 253453 254330 256360 268192 270400 280640 282880 285025 287300 296426 298180 300560 301600 313664 315520 320450 330629 333268 335240 350800 353600 364832 367744 369920 371200 372725 375700 387634 390728 392080 394400 406928 410176 416585 419050 432361 432640 435812 449024 456040 459680 462400 477088 480896 482560 488410 490100 506906 508660 512720 536384 540800 544765 561280 565760 570050 574600 592852 596360 601120 603200 627328 631040 635825 640900 661258 666536 670480 701600 707200 729664 735488 739840 741065 745450 751400 769129 775268 781456 784160 788800 813856 820352 833170 838100 864722 871624 912080 919360 924800 954176 961792 965120 969085 976820 980200 1013812 1017320 1025440 1072768 1081600 1089530 1122560 1140100 1149200 1185704 1192720 1202240 1206400 1221025 1254656 1262080 1267265 1271650 1281800 1322516 1333072 1340960 1403200 1414400 1416389 1459328 1470976 1482130 1490900 1502800 1538258 1550536 1562912 1568320 1577600 1627712 1640704 1653145 1666340 1676200 1729444 1743248 1824160 1838720 1849600 1908352 1923584 1938170 1953640 1960400 2027624 2034640 2050880 2082925 2145536 2161805 2163200 2179060 2245120 2280200 2298400 2371408 2385440 2404480 2412800 2442050 2509312 2519621 2534530 2543300 2563600 2645032 2666144 2681920 2723825 2806400 2828800 2832778 2918656 2964260 2981800 3005600 3076516 3101072 3125824 3136640 3155200 3255424 3281408 3294889 3306290 3332680 3352400 3458888 3486496 3648320 3677440 3699200 3705325 3816704 3845645 3876340 3907280 3920800 4055248 4069280 4101760 4165850 4291072 4298177 4323610 4358120 4560400 4596800 4742816 4770880 4808960 4825600 4845425 4884100 5039242 5069060 5086600 5127200 5290064 5332288 5363840 5447650 5612800 5620693 5665556 5837312 5928520 5963600 6011200 6153032 6202144 6251648 6273280 6310400 6336325 6510848 6589778 6612580 6665360 6704800 6917776 6972992 7081945 7296640 7350137 7354880 7410650 7633408 7691290 7752680 7814560 7841600 8110496 8138560 8203520 8265725 8331700 8596354 8647220 8716240 9120800 9193600 9485632 9541760 9617920 9690850 9768200 9998677 10078484 10138120 10173200 10254400 10580128 10664576 10727680 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20920308800 21087289600 21757121152 21930781184 22097076170 22227828100 23116941224 23196930640 23382082880 23520438400 24267558208 24461255936 24646738805 24843463060 25596613120 25784280596 25996560200 27196401440 27413476480 27508332800 28451619968 28550068480 28896176530 28996163300 29227603600 30156009832 30334447760 30576569920 31054328825 31995766400 32230350745 32251148800 33275597056 33472494080 33995501800 34266845600 35355321872 35564524960 35687585600 35972435200 37115089024 37411332608 37565029489 37695012290 37918059700 38220712400 39434782088 39749540896 41594496320 41840617600 42174579200 43514242304 44194152340 44455656200 46233882448 46393861280 46764165760 47040876800 48535116416 48922511872 49293477610 49686926120 51568561192 51993120400 54392802880 54826952960 55016665600 55242690425 56903239936 57100136960 57792353060 57992326600 58455207200 60312019664 60668895520 61153139840 62108657650 63991532800 64081520893 64460701490 66551194112 67991003600 68533691200 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244612559360 246467388050 248434630600 256326083572 257842805960 271964014400 274134764800 282842574976 284516199680 285500684800 288961765300 300520235912 301560098320 303344477600 305765699200 315478256704 317996327168 320407604465 322303507450 332755970560 335195647748 353553218720 355645249600 369871059584 371150890240 375650294890 376950122900 394347820880 397495408960 412548489536 415944963200 418994559685 435142423040 441941523400 462338824480 463938612800 467641657600 482496157312 485351164160 492934776100 496869261200 512652167144 515685611920 543928028800 548269529600 565685149952 569032399360 577923530600 601040471824 603120196640 606688955200 611531398400 630956513408 635992654336 640815208930 644607014900 670391295496 707106437440 711290499200 739742119168 742301780480 751300589780 753900245800 788695641760 794990817920 825096979072 831889926400 837989119370 883883046800 924677648960 927877225600 935283315200 939125737225 964992314624 970702328320 985869552200 993738522400 1025304334288 1031371223840 1087856057600 1089385855181 1131370299904 1155847061200 1202080943648 1206240393280 1213377910400 1223062796800 1261913026816 1281630417860 1289214029800 1340782590992 1414212874880 1422580998400 1479484238336 1502601179560 1507800491600 1577391283520 1589981635840 1602038022325 1650193958144 1663779852800 1675978238740 1767766093600 1849355297920 1855754451200 1878251474450 1929984629248 1971739104400 1987477044800 2050608668576 2062742447680 2094972798425 2175712115200 2178771710362 2311694122400 2404161887296 2412480786560 2426755820800 2523826053632 2563260835720 2578428059600 2681565181984 2828425749760 2845161996800 3005202359120 3015600983200 3154782567040 3179963271680 3204076044650 3300387916288 3351956477480 3535532187200 3698710595840 3711508902400 3756502948900 3943478208800 3974954089600 4101217337152 4125484895360 4189945596850 4357543420724 4623388244800 4808323774592 4824961573120 4853511641600 5126521671440 5156856119200 5363130363968 5446929275905 5656851499520 6010404718240 6031201966400 6309565134080 6408152089300 6703912954960 7071064374400 7397421191680 7513005897800 7886956417600 7949908179200 8202434674304 8250969790720 8379891193700 8715086841448 9246776489600 9616647549184 9649923146240 10253043342880 10313712238400 10726260727936 10893858551810 12020809436480 12062403932800 12619130268160 12816304178600 13407825909920 14142128748800 15026011795600 15773912835200 15899816358400 16404869348608 16501939581440 16759782387400 17430173682896 18493552979200 19233295098368 20506086685760 20627424476800 21452521455872 21787717103620 24041618872960 24124807865600 25632608357200 26815651819840 27234646379525 28284257497600 30052023591200 31547825670400 32809738697216 33519564774800 34860347365792 36987105958400 41012173371520 41254848953600 42905042911744 43575434207240 48083237745920 48249615731200 51265216714400 53631303639680 54469292759050 60104047182400 63095651340800 67039129549600 69720694731584 82024346743040 82509697907200 87150868414480 96166475491840 102530433428800 107262607279360 108938585518100 120208094364800 134078259099200 139441389463168 164048693486080 174301736828960 205060866857600 214525214558720 217877171036200 240416188729600 268156518198400 278882778926336 348603473657920 410121733715200 435754342072400 480832377459200 536313036396800 557765557852672 697206947315840 820243467430400 871508684144800 1072626072793600 1394413894631680 1743017368289600 2788827789263360 3486034736579200 6972069473158400 13944138946316800
- Sum of all divisors σ(n): 41156906174591130
- Sum of proper divisors (its aliquot sum) s(n): 27212767228274330
- 13944138946316800 is an abundant number, because the sum of its proper divisors (27212767228274330) is greater than itself. Its abundance is 13268628281957530
Bases of 13944138946316800
- Binary: 1100011000101000011110110110001001100000001010000000002
- Hexadecimal: 0x318A1ED8980A00
- Base-36: 3TAS8ZXMZGG
Squares and roots of 13944138946316800
- 13944138946316800 squared (139441389463168002) is 194439010954188997352285962240000
- 13944138946316800 cubed (139441389463168003) is 2711284585329625698494988642561073591877632000000
-
The
square root of 13944138946316800 is 118085303.6847380089 -
The
cube root of 13944138946316800 is 240693.2441561409
Scales and comparisons
How big is 13944138946316800?- 13,944,138,946,316,800 seconds is equal to 443,380,486 years, 22 weeks, 5 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,944,138,946,316,800 would take you about one billion, three hundred thirty million, one hundred forty-one thousand, four hundred fifty-nine 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 13944138946316800 cubic inches would be around 20057.8 feet tall.
Recreational maths with 13944138946316800
- 13944138946316800 backwards is 00861364983144931
- The number of decimal digits it has is: 17
- The sum of 13944138946316800's digits is 70
- More coming soon!
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"Number 13944138946316800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 13944138946316800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13944138946316800/
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The information we have on file for 13944138946316800 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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