13897884960432000
13,897,884,960,432,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13897884960432000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3072 divisors.
13897884960432000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 13897884960432000:
27 × 35 × 53 × 113 × 1393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 139 × 139 × 139)See below for interesting mathematical facts about the number 13897884960432000 from the Numbermatics database.
Names of 13897884960432000
- Cardinal: 13897884960432000 can be written as Thirteen quadrillion, eight hundred ninety-seven trillion, eight hundred eighty-four billion, nine hundred sixty million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.3897884960432 × 1016
Factors of 13897884960432000
Divisors of 13897884960432000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 121 125 128 132 135 139 144 150 160 162 165 176 180 192 198 200 216 220 225 240 242 243 250 264 270 275 278 288 297 300 320 324 330 352 360 363 375 384 396 400 405 417 432 440 450 480 484 486 495 500 528 540 550 556 576 594 600 605 640 648 660 675 695 704 720 726 750 792 800 810 825 834 864 880 891 900 960 968 972 990 1000 1056 1080 1089 1100 1112 1125 1152 1188 1200 1210 1215 1251 1296 1320 1331 1350 1375 1390 1408 1440 1452 1485 1500 1529 1584 1600 1620 1650 1668 1728 1760 1782 1800 1815 1920 1936 1944 1980 2000 2025 2085 2112 2160 2178 2200 2224 2250 2376 2400 2420 2430 2475 2502 2592 2640 2662 2673 2700 2750 2780 2880 2904 2970 3000 3025 3058 3168 3200 3240 3267 3300 3336 3375 3456 3475 3520 3564 3600 3630 3753 3872 3888 3960 3993 4000 4050 4125 4170 4224 4320 4356 4400 4448 4455 4500 4587 4752 4800 4840 4860 4950 5004 5184 5280 5324 5346 5400 5445 5500 5560 5760 5808 5940 6000 6050 6075 6116 6255 6336 6480 6534 6600 6655 6672 6750 6950 7040 7128 7200 7260 7425 7506 7645 7744 7776 7920 7986 8000 8100 8250 8340 8640 8712 8800 8896 8910 9000 9075 9174 9504 9600 9680 9720 9801 9900 10008 10125 10368 10425 10560 10648 10692 10800 10890 11000 11120 11259 11616 11880 11979 12000 12100 12150 12232 12375 12510 12672 12960 13068 13200 13310 13344 13365 13500 13761 13900 14256 14400 14520 14850 15012 15125 15290 15488 15552 15840 15972 16000 16200 16335 16500 16680 16819 17280 17375 17424 17600 17792 17820 18000 18150 18348 18765 19008 19321 19360 19440 19602 19800 19965 20016 20250 20850 21120 21296 21384 21600 21780 22000 22240 22275 22518 22935 23232 23760 23958 24000 24200 24300 24464 24750 25020 25920 26136 26400 26620 26688 26730 27000 27225 27522 27800 28512 28800 29040 29403 29700 30024 30250 30375 30580 31104 31275 31680 31944 32400 32670 33000 33275 33360 33638 33777 34750 34848 35200 35640 35937 36000 36300 36696 37125 37530 38016 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499923919440 504973656000 510482459520 514736480016 519935838400 520754082750 522084333600 526435036380 531752562000 536183833350 555471021600 561530705472 568095363000 571929422240 574292766960 579078540018 580093704000 584927818200 598221632250 605968387200 617190024000 623923006080 624904899300 631722043656 638103074400 643420600020 649919798000 652605417000 658043795475 666565225920 686315306688 694338777000 696112444800 701913381840 709003416000 714911777800 717865958700 719314992000 731159772750 740628028800 757460484000 765723689280 772104720024 779903757600 781131124125 789652554570 797628843000 799878271104 804275750025 826320528000 833206532400 842296058208 850804099200 857894133360 868617810027 870140556000 877391727300 893639722250 897332448375 908952580800 918868427136 925785036000 935884509120 957154611600 965130900030 974879697000 999847838880 1009947312000 1029472960032 1039871676800 1041508165500 1044168667200 1052870072760 1063505124000 1072367666700 1096739659125 1110942043200 1123061410944 1136190726000 1143858844480 1148585533920 1158157080036 1160187408000 1169855636400 1196443264500 1234380048000 1249809798600 1263444087312 1276206148800 1286841200040 1299839596000 1305210834000 1316087590950 1333130451840 1340459583375 1372630613376 1388677554000 1403826763680 1418006832000 1429823555600 1435731917400 1447696350045 1462319545500 1514920968000 1531447378560 1544209440048 1559807515200 1562262248250 1579305109140 1595257686000 1608551500050 1666413064800 1684592116416 1715788266720 1737235620054 1740281112000 1754783454600 1787279444500 1794664896750 1817905161600 1851570072000 1871769018240 1914309223200 1930261800060 1949759394000 1974131386425 1999695677760 2058945920064 2083016331000 2088337334400 2105740145520 2127010248000 2144735333400 2193479318250 2221884086400 2272381452000 2287717688960 2297171067840 2316314160072 2339711272800 2392886529000 2412827250075 2499619597200 2526888174624 2552412297600 2573682400080 2599679192000 2610421668000 2632175181900 2680919166750 2777355108000 2807653527360 2859647111200 2871463834800 2895392700090 2924639091000 3029841936000 3088418880096 3119615030400 3124524496500 3158610218280 3190515372000 3217103000100 3290218977375 3332826129600 3369184232832 3431576533440 3474471240108 3480562224000 3509566909200 3574558889000 3589329793500 3703140144000 3828618446400 3860523600120 3899518788000 3948262772850 3999391355520 4021378750125 4117891840128 4166032662000 4211480291040 4254020496000 4289470666800 4343089050135 4386958636500 4544762904000 4594342135680 4632628320144 4679422545600 4785773058000 4825654500150 4999239194400 5053776349248 5147364800160 5199358384000 5220843336000 5264350363800 5361838333500 5554710216000 5615307054720 5719294222400 5742927669600 5790785400180 5849278182000 6176837760192 6249048993000 6317220436560 6381030744000 6434206000200 6580437954750 6665652259200 6863153066880 6948942480216 7019133818400 7149117778000 7178659587000 7238481750225 7657236892800 7721047200240 7799037576000 7896525545700 8042757500250 8332065324000 8422960582080 8578941333600 8686178100270 8773917273000 9089525808000 9265256640288 9358845091200 9571546116000 9651309000300 9870656932125 9998478388800 10107552698496 10294729600320 10441686672000 10528700727600 10723676667000 11109420432000 11438588444800 11485855339200 11581570800360 11698556364000 12064136250375 12353675520384 12498097986000 12634440873120 12762061488000 12868412000400 13160875909500 13897884960432 14038267636800 14298235556000 14357319174000 14476963500450 15442094400480 15598075152000 15793051091400 16085515000500 16664130648000 16845921164160 17157882667200 17372356200540 17547834546000 18530513280576 19143092232000 19302618000600 19741313864250 19996956777600 20589459200640 21057401455200 21447353334000 21715445250675 22971710678400 23163141600720 23397112728000 24128272500750 24996195972000 25268881746240 25736824000800 26321751819000 27795769920864 28076535273600 28596471112000 28714638348000 28953927000900 30884188800960 31586102182800 32171030001000 33328261296000 34315765334400 34744712401080 35095669092000 36192408751125 37061026561152 38286184464000 38605236001200 39482627728500 42114802910400 42894706668000 43430890501350 46326283201440 46794225456000 48256545001500 49992391944000 50537763492480 51473648001600 52643503638000 55591539841728 57192942224000 57429276696000 57907854001800 61768377601920 63172204365600 64342060002000 69489424802160 70191338184000 72384817502250 77210472002400 78965255457000 84229605820800 85789413336000 86861781002700 92652566402880 96513090003000 99984783888000 102947296003200 105287007276000 108577226253375 111183079683456 114858553392000 115815708003600 126344408731200 128684120004000 138978849604320 140382676368000 144769635004500 154420944004800 157930510914000 171578826672000 173723562005400 185305132805760 193026180006000 210574014552000 217154452506750 231631416007200 252688817462400 257368240008000 277957699208640 289539270009000 308841888009600 315861021828000 347447124010800 386052360012000 421148029104000 434308905013500 463262832014400 514736480016000 555915398417280 579078540018000 631722043656000 694894248021600 772104720024000 868617810027000 926525664028800 1158157080036000 1263444087312000 1389788496043200 1544209440048000 1737235620054000 2316314160072000 2779576992086400 3474471240108000 4632628320144000 6948942480216000 13897884960432000
- Sum of all divisors σ(n): 57343916678630400
- Sum of proper divisors (its aliquot sum) s(n): 43446031718198400
- 13897884960432000 is an abundant number, because the sum of its proper divisors (43446031718198400) is greater than itself. Its abundance is 29548146757766400
Bases of 13897884960432000
- Binary: 1100010110000000001101100000000011001000011111100000002
- Hexadecimal: 0x31600D80321F80
- Base-36: 3SUE07KOO00
Squares and roots of 13897884960432000
- 13897884960432000 squared (138978849604320002) is 193151206373401974205626624000000
- 13897884960432000 cubed (138978849604320003) is 2684393246146200762499995857922005741568000000000
-
The
square root of 13897884960432000 is 117889291.1185405339 -
The
cube root of 13897884960432000 is 240426.8155047243
Scales and comparisons
How big is 13897884960432000?- 13,897,884,960,432,000 seconds is equal to 441,909,752 years, 39 weeks, 4 days.
-
To count from 1 to 13,897,884,960,432,000 would take you about one billion, three hundred twenty-five million, seven hundred twenty-nine thousand, two hundred fifty-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 13897884960432000 cubic inches would be around 20035.6 feet tall.
Recreational maths with 13897884960432000
- 13897884960432000 backwards is 00023406948879831
- 13897884960432000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13897884960432000's digits is 72
- More coming soon!
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Cite this page
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"Number 13897884960432000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 13897884960432000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13897884960432000/
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The information we have on file for 13897884960432000 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 13897884960432000, math, Factors of 13897884960432000, curriculum, school, college, exams, university, Prime factorization of 13897884960432000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred ninety-seven trillion, eight hundred eighty-four billion, nine hundred sixty million, four hundred thirty-two thousand.