13720448974848
13,720,448,974,848 is an even composite number composed of six prime numbers multiplied together.
13720448974848 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 13720448974848:
214 × 3 × 72 × 112 × 232 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 11 × 23 × 23 × 89)See below for interesting mathematical facts about the number 13720448974848 from the Numbermatics database.
Names of 13720448974848
- Cardinal: 13720448974848 can be written as Thirteen trillion, seven hundred twenty billion, four hundred forty-eight million, nine hundred seventy-four thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.3720448974848 × 1013
Factors of 13720448974848
Divisors of 13720448974848
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 32 33 42 44 46 48 49 56 64 66 69 77 84 88 89 92 96 98 112 121 128 132 138 147 154 161 168 176 178 184 192 196 224 231 242 253 256 264 267 276 294 308 322 336 352 356 363 368 384 392 448 462 483 484 506 512 528 529 534 539 552 588 616 623 644 672 704 712 726 736 759 768 784 847 896 924 966 968 979 1012 1024 1056 1058 1068 1078 1104 1127 1176 1232 1246 1288 1344 1408 1424 1452 1472 1518 1536 1568 1587 1617 1694 1771 1792 1848 1869 1932 1936 1958 2024 2047 2048 2112 2116 2136 2156 2208 2254 2352 2464 2492 2541 2576 2688 2783 2816 2848 2904 2937 2944 3036 3072 3136 3174 3234 3381 3388 3542 3584 3696 3703 3738 3864 3872 3916 4048 4094 4096 4224 4232 4272 4312 4361 4416 4508 4704 4928 4984 5082 5152 5313 5376 5566 5632 5696 5808 5819 5874 5888 5929 6072 6141 6144 6272 6348 6468 6762 6776 6853 7084 7168 7392 7406 7476 7728 7744 7832 8096 8188 8192 8349 8448 8464 8544 8624 8722 8832 9016 9408 9856 9968 10164 10304 10626 10752 10769 11109 11132 11264 11392 11616 11638 11748 11776 11858 12144 12282 12288 12397 12544 12696 12936 13083 13524 13552 13706 14168 14329 14336 14784 14812 14952 15456 15488 15664 16192 16376 16384 16698 16896 16928 17088 17248 17444 17457 17664 17787 18032 18816 19481 19712 19936 20328 20559 20608 21252 21504 21538 22218 22264 22517 22528 22784 23232 23276 23496 23552 23716 24288 24564 24576 24794 25088 25392 25872 25921 26166 27048 27104 27412 28336 28658 28672 29568 29624 29904 30912 30976 31328 32307 32384 32752 33396 33792 33856 34176 34496 34888 34914 35328 35574 36064 37191 37632 38962 39424 39872 40656 40733 41118 41216 42504 42987 43008 43076 44436 44528 45034 45056 45568 46464 46552 46992 47081 47104 47432 47971 48576 49128 49152 49588 50176 50784 51744 51842 52332 54096 54208 54824 56672 57316 57344 58443 59136 59248 59808 61824 61952 62656 64009 64614 64768 65504 66792 67551 67584 67712 68352 68992 69776 69828 70656 71148 72128 74382 75264 75383 77763 77924 78848 79744 81312 81466 82236 82432 85008 85974 86016 86152 88872 89056 90068 90112 91136 92928 93104 93984 94162 94208 94864 95942 97152 98256 99176 100303 100352 101568 103488 103684 104664 108192 108416 109648 113344 114632 114688 116886 118272 118496 119616 122199 123648 123904 125312 128018 129228 129536 131008 133584 135102 135168 135424 136367 136704 137984 139552 139656 141243 141312 142296 143913 144256 148764 150528 150766 155526 155848 157619 157696 159488 162624 162932 164472 164864 170016 171948 172032 172304 177744 178112 180136 180224 182272 185856 186208 187968 188324 188416 189728 191884 192027 194304 196512 198352 200606 200704 203136 206976 207368 209328 216384 216832 219296 226149 226688 229264 233772 236544 236992 239232 244398 247296 247687 247808 250624 256036 258456 259072 262016 267168 270204 270336 270848 272734 273408 275968 279104 279312 282486 282624 284592 285131 287826 288512 297528 300909 301056 301532 311052 311696 315238 315392 318976 325248 325864 328944 329567 329728 340032 343896 344064 344608 355488 356224 360272 364544 371712 372416 375936 376648 376832 379456 383768 384054 388608 393024 396704 401212 401408 406272 409101 413952 414736 418656 432768 433664 438592 448063 452298 453376 458528 467544 472857 473088 473984 478464 488796 494592 495374 495616 501248 512072 516912 517891 518144 524032 527681 534336 540408 540672 541696 545468 546816 551936 558208 558624 564972 565248 569184 570262 575652 577024 595056 601818 602112 603064 622104 623392 630476 630784 637952 650496 651728 657888 659134 659456 680064 687792 689216 710976 712448 720544 729088 743061 743424 744832 751872 753296 758912 767536 768108 777216 786048 793408 802424 802816 812544 818202 827904 829472 837312 855393 865536 867328 877184 896126 904596 906752 917056 935088 945714 946176 947968 956928 977592 988701 989184 990748 991232 1002496 1024144 1033824 1035782 1036288 1048064 1055362 1068672 1080816 1083392 1090936 1093632 1103333 1103872 1116416 1117248 1129944 1130496 1138368 1140524 1151304 1154048 1190112 1203636 1204224 1206128 1244208 1246784 1260952 1261568 1275904 1300992 1303456 1315776 1318268 1318912 1344189 1360128 1375584 1378432 1421952 1424896 1441088 1458176 1486122 1486848 1489664 1503744 1506592 1517824 1535072 1536216 1553673 1554432 1572096 1583043 1586816 1604848 1625088 1636404 1655808 1658944 1674624 1710786 1731072 1733809 1734656 1754368 1792252 1809192 1813504 1834112 1870176 1891428 1892352 1895936 1913856 1955184 1977402 1978368 1981496 1982464 2004992 2048288 2067648 2071564 2072576 2096128 2110724 2137344 2161632 2166784 2181872 2187264 2206666 2207744 2232832 2234496 2259888 2276736 2281048 2302608 2306969 2308096 2380224 2407272 2408448 2412256 2488416 2493568 2521904 2551808 2601984 2606912 2631552 2636536 2637824 2688378 2720256 2751168 2756864 2843904 2849792 2882176 2972244 2973696 2979328 3007488 3013184 3035648 3070144 3072432 3107346 3108864 3136441 3144192 3166086 3173632 3209696 3250176 3272808 3309999 3311616 3317888 3349248 3421572 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72993536 73683456 73823008 75274584 76129977 76167168 77032704 77192192 79629312 79755214 79794176 80700928 83222832 83421184 84209664 84369152 86028096 87005688 87048192 88037376 88219648 91004928 91148816 92229632 95111808 95338496 96421888 97093304 97140736 98244608 98317824 99435072 100366112 100614144 101314752 101506636 101556224 102710272 104729856 105919968 106172416 107175936 109490304 110734512 110963776 112279552 114704128 115788288 116007584 117383168 119632821 119691264 121051392 125131776 126553728 126815744 131090432 132329472 132580096 135086336 136723224 136790016 138344448 139639808 141226624 143007744 144632832 145639956 145711104 145987072 147366912 147646016 150549168 152259954 152334336 154065408 154384384 159258624 159510428 159588352 161401856 166445664 166842368 168419328 168738304 172056192 174011376 176074752 176439296 182009856 182297632 184459264 190223616 192843776 194186608 196489216 196635648 198870144 200732224 202629504 203013272 203112448 205420544 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18077007872 18641914368 18898690048 19270293504 19489274112 20417334784 21305044992 22023192576 22273456128 23334096896 24855885824 25455378432 25693724672 25936576512 25985698816 26797751904 27115511808 28348035072 28406726656 29697941504 30626002176 35001145344 35730335872 37283828736 37797380096 38540587008 38978548224 40834669568 42610089984 44546912256 46668193792 49711771648 51387449344 51971397632 53595503808 54231023616 56696070144 59395883008 61252004352 70002290688 71460671744 74567657472 77081174016 77957096448 81669339136 85220179968 89093824512 93336387584 99423543296 103942795264 107191007616 113392140288 122504008704 140004581376 142921343488 149135314944 154162348032 155914192896 163338678272 178187649024 198847086592 207885590528 214382015232 245008017408 280009162752 285842686976 298270629888 311828385792 326677356544 415771181056 428764030464 490016034816 571685373952 596541259776 623656771584 653354713088 857528060928 980032069632 1143370747904 1247313543168 1715056121856 1960064139264 2286741495808 3430112243712 4573482991616 6860224487424 13720448974848
- Sum of all divisors σ(n): 49452791303160
- Sum of proper divisors (its aliquot sum) s(n): 35732342328312
- 13720448974848 is an abundant number, because the sum of its proper divisors (35732342328312) is greater than itself. Its abundance is 22011893353464
Bases of 13720448974848
- Binary: 110001111010100010100111110011000000000000002
- Hexadecimal: 0xC7A8A7CC000
- Base-36: 4V3352GAO
Squares and roots of 13720448974848
- 13720448974848 squared (137204489748482) is 188250720071407534136623104
- 13720448974848 cubed (137204489748483) is 2582884399218141319101254032049351688192
-
The
square root of 13720448974848 is 3704112.4409024087 -
The
cube root of 13720448974848 is 23939.9243853843
Scales and comparisons
How big is 13720448974848?- 13,720,448,974,848 seconds is equal to 436,267 years, 43 weeks, 3 days, 18 hours, 20 minutes, 48 seconds.
-
To count from 1 to 13,720,448,974,848 would take you about one million, ninety thousand, six hundred sixty-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 13720448974848 cubic inches would be around 1995 feet tall.
Recreational maths with 13720448974848
- 13720448974848 backwards is 84847984402731
- 13720448974848 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13720448974848's digits is 69
- More coming soon!
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"Number 13720448974848 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 13720448974848 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13720448974848/
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The information we have on file for 13720448974848 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 13720448974848, math, Factors of 13720448974848, curriculum, school, college, exams, university, Prime factorization of 13720448974848, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, seven hundred twenty billion, four hundred forty-eight million, nine hundred seventy-four thousand, eight hundred forty-eight.