13978755315335224960
13,978,755,315,335,224,960 is an even composite number composed of six prime numbers multiplied together.
13978755315335224960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13978755315335224960:
27 × 5 × 74 × 132 × 192 × 122112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 13 × 13 × 19 × 19 × 12211 × 12211)See below for interesting mathematical facts about the number 13978755315335224960 from the Numbermatics database.
Names of 13978755315335224960
- Cardinal: 13978755315335224960 can be written as Thirteen quintillion, nine hundred seventy-eight quadrillion, seven hundred fifty-five trillion, three hundred fifteen billion, three hundred thirty-five million, two hundred twenty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.397875531533522496 × 1019
Factors of 13978755315335224960
Divisors of 13978755315335224960
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 26 28 32 35 38 40 49 52 56 64 65 70 76 80 91 95 98 104 112 128 130 133 140 152 160 169 182 190 196 208 224 245 247 260 266 280 304 320 338 343 361 364 380 392 416 448 455 490 494 520 532 560 608 637 640 665 676 686 722 728 760 784 832 845 896 910 931 980 988 1040 1064 1120 1183 1216 1235 1274 1330 1352 1372 1444 1456 1520 1568 1664 1690 1715 1729 1805 1820 1862 1960 1976 2080 2128 2240 2366 2401 2432 2470 2527 2548 2660 2704 2744 2888 2912 3040 3136 3185 3211 3380 3430 3458 3610 3640 3724 3920 3952 4160 4256 4459 4480 4655 4693 4732 4802 4940 5054 5096 5320 5408 5488 5776 5824 5915 6080 6272 6370 6422 6517 6760 6860 6916 7220 7280 7448 7840 7904 8281 8320 8512 8645 8918 9310 9386 9464 9604 9880 10108 10192 10640 10816 10976 11552 11648 11830 12005 12103 12160 12211 12635 12740 12844 13034 13520 13720 13832 14440 14560 14896 15680 15808 16055 16562 17024 17290 17689 17836 18620 18772 18928 19208 19760 20216 20384 21280 21632 21952 22295 22477 23104 23465 23660 24010 24206 24422 25270 25480 25688 26068 27040 27440 27664 28880 29120 29792 31213 31360 31616 32110 32585 32851 33124 34580 35378 35672 37240 37544 37856 38416 39520 40432 40768 41405 42560 43904 44590 44954 45619 46208 46930 47320 48020 48412 48844 50540 50960 51376 52136 54080 54880 55328 57760 57967 58240 59584 60515 61009 61055 62426 64220 65170 65702 66248 69160 70756 71344 74480 75088 75712 76832 79040 80864 81536 82810 84721 85120 85477 88445 89180 89908 91238 93860 94640 96040 96824 97688 101080 101920 102752 104272 108160 109760 110656 112385 115520 115934 119168 121030 122018 122110 123823 124852 128440 130340 131404 132496 138320 141512 142688 148960 150176 151424 153664 156065 157339 158080 158743 161728 164255 165620 169442 170954 176890 178360 179816 182476 187720 189280 192080 193648 195376 202160 203840 205504 208544 219520 221312 224770 228095 229957 231040 231868 232009 242060 244036 244220 247646 249704 256880 260680 262808 264992 276640 283024 285376 289835 297920 300352 305045 307328 312130 314678 317486 323456 328510 331240 338884 341908 353780 356720 359632 364952 375440 378560 384160 387296 390752 404320 405769 407680 411008 417088 423605 427063 427385 449540 456190 459914 463736 464018 484120 488072 488440 495292 499408 513760 521360 525616 529984 553280 566048 570752 579670 593047 595840 598339 600704 610090 619115 624260 629356 634972 657020 662480 677768 683816 707560 713440 719264 729904 750880 757120 768320 774592 781504 786695 793715 808640 811538 834176 847210 854126 854770 866761 899080 912380 919828 927472 928036 968240 976144 976880 990584 998816 1027520 1042720 1051232 1059968 1101373 1106560 1111201 1132096 1149785 1159340 1160045 1186094 1196678 1220180 1238230 1248520 1258712 1269944 1314040 1324960 1355536 1367632 1415120 1426880 1438528 1459808 1501760 1536640 1549184 1563008 1573390 1587430 1609699 1617280 1623076 1624063 1694420 1708252 1709540 1733522 1798160 1824760 1839656 1854944 1856072 1936480 1952288 1953760 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447850424993920 469211711712380 480039674290358 484028923661192 505304920305640 509429858430584 516965803081924 536241956242720 544174529559920 548616770617552 553175912755648 572383724319680 577491337492160 582205552492096 590818060665056 595727906044544 605036154576490 621913748068480 626990594991488 636787323038230 646207253852405 656896396397332 685770963271940 691469890944560 707426888427896 727756940615120 738522575831320 744659882555680 750738738739808 783738243739360 790251303936640 808487872489024 821120495496665 844025800950080 870679247295872 884283610534870 891502252253522 938423423424760 960079348580716 968057847322384 1010609840611280 1018859716861168 1033931606163848 1072483912485440 1088349059119840 1097233541235104 1106351825511296 1144767448639360 1149568693695331 1154982674984320 1164411104984192 1181636121330112 1200099185725895 1210072309152980 1273574646076460 1292414507704810 1313792792794664 1371541926543880 1382939781889120 1414853776855792 1455513881230240 1477045151662640 1489319765111360 1501477477479616 1567476487478720 1616975744978048 1642240990993330 1680138860016253 1688051601900160 1768567221069740 1783004504507044 1876846846849520 1920158697161432 1936115694644768 2021219681222560 2037719433722336 2067863212327696 2144967824970880 2176698118239680 2194467082470208 2228755630633805 2299137387390662 2363272242660224 2400198371451790 2420144618305960 2547149292152920 2584829015409620 2627585585589328 2743083853087760 2765879563778240 2829707553711584 2911027762460480 2954090303325280 2978639530222720 3002954954959232 3120257882887327 3134952974957440 3284481981986660 3360277720032506 3537134442139480 3566009009014088 3753693693699040 3840317394322864 3872231389289536 4042439362445120 4075438867444672 4135726424655392 4353396236479360 4388934164940416 4457511261267610 4598274774781324 4800396742903580 4840289236611920 5094298584305840 5169658030819240 5255171171178656 5486167706175520 5531759127556480 5659415107423168 5747843468476655 5822055524920960 5908180606650560 6240515765774654 6568963963973320 6720555440065012 7074268884278960 7132018018028176 7507387387398080 7680634788645728 7744462778579072 8084878724890240 8150877734889344 8271452849310784 8400694300081265 8915022522535220 9196549549562648 9600793485807160 9680578473223840 10188597168611680 10339316061638480 10510342342357312 10972335412351040 11318830214846336 11495686936953310 11816361213301120 12481031531549308 13137927927946640 13441110880130024 14148537768557920 14264036036056352 15014774774796160 15361269577291456 15601289414436635 16542905698621568 16801388600162530 17830045045070440 18393099099125296 19201586971614320 19361156946447680 20377194337223360 20678632123276960 21020684684714624 21841805180211289 21944670824702080 22991373873906620 24962063063098616 26275855855893280 26882221760260048 28297075537115840 28528072072112704 30722539154582912 31202578828873270 33602777200325060 35660090090140880 36786198198250592 38403173943228640 38722313892895360 40754388674446720 41357264246553920 43683610360422578 45982747747813240 49924126126197232 52551711711786560 53764443520520096 56594151074231680 57056144144225408 62405157657746540 67205554400650120 71320180180281760 73572396396501184 76806347886457280 82714528493107840 87367220720845156 91965495495626480 99848252252394464 105103423423573120 107528887041040192 109209025901056445 124810315315493080 134411108801300240 142640360360563520 147144792793002368 153612695772914560 174734441441690312 183930990991252960 199696504504788928 215057774082080384 218418051802112890 249620630630986160 268822217602600480 285280720721127040 349468882883380624 367861981982505920 399393009009577856 436836103604225780 499241261261972320 537644435205200960 698937765766761248 735723963965011840 873672207208451560 998482522523944640 1075288870410401920 1397875531533522496 1747344414416903120 1996965045047889280 2795751063067044992 3494688828833806240 6989377657667612480 13978755315335224960
- Sum of all divisors σ(n): 44557276241698803270
- Sum of proper divisors (its aliquot sum) s(n): 30578520926363578310
- 13978755315335224960 is an abundant number, because the sum of its proper divisors (30578520926363578310) is greater than itself. Its abundance is 16599765611028353350
Bases of 13978755315335224960
- Binary: 11000001111111101000001111100101100011001010100011011110100000002
- Hexadecimal: 0xC1FE83E58CA8DE80
- Base-36: 2Y7CF76KFVLOG
Squares and roots of 13978755315335224960
- 13978755315335224960 squared (139787553153352249602) is 195405600166012804607753700573807001600
- 13978755315335224960 cubed (139787553153352249603) is 2731527071966921209268121167891145223364919933159079936000
-
The
square root of 13978755315335224960 is 3738817368.5451961321 -
The
cube root of 13978755315335224960 is 2408922.5347964073
Scales and comparisons
How big is 13978755315335224960?- 13,978,755,315,335,224,960 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,978,755,315,335,224,960 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13978755315335224960 cubic inches would be around 200743.5 feet tall.
Recreational maths with 13978755315335224960
- 13978755315335224960 backwards is 06942253351355787931
- The number of decimal digits it has is: 20
- The sum of 13978755315335224960's digits is 88
- More coming soon!
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"Number 13978755315335224960 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 13978755315335224960 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/13978755315335224960/
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The information we have on file for 13978755315335224960 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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