13516959920256
13,516,959,920,256 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13516959920256 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
13516959920256 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13516959920256:
27 × 32 × 13 × 37 × 181 × 307 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 37 × 181 × 307 × 439)See below for interesting mathematical facts about the number 13516959920256 from the Numbermatics database.
Names of 13516959920256
- Cardinal: 13516959920256 can be written as Thirteen trillion, five hundred sixteen billion, nine hundred fifty-nine million, nine hundred twenty thousand, two hundred fifty-six.
Scientific notation
- Scientific notation: 1.3516959920256 × 1013
Factors of 13516959920256
Divisors of 13516959920256
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 64 72 74 78 96 104 111 117 128 144 148 156 181 192 208 222 234 288 296 307 312 333 362 384 416 439 444 468 481 543 576 592 614 624 666 724 832 878 888 921 936 962 1086 1152 1184 1228 1248 1317 1332 1443 1448 1629 1664 1756 1776 1842 1872 1924 2172 2353 2368 2456 2496 2634 2664 2763 2886 2896 3258 3512 3552 3684 3744 3848 3951 3991 4329 4344 4706 4736 4912 4992 5268 5328 5526 5707 5772 5792 6516 6697 7024 7059 7104 7368 7488 7696 7902 7982 8658 8688 9412 9824 10536 10656 11052 11359 11414 11544 11584 11973 13032 13394 14048 14118 14208 14736 14976 15392 15804 15964 16243 17121 17316 17376 18824 19648 20091 21072 21177 21312 22104 22718 22828 23088 23168 23946 26064 26788 28096 28236 29472 30784 31608 31928 32486 34077 34242 34632 34752 35919 37648 39296 40182 42144 42354 42624 44208 45436 45656 46176 47892 48729 51363 52128 53576 55567 56192 56472 58944 60273 61568 63216 63856 64972 68154 68484 69264 69504 71838 75296 79459 80364 84288 84708 87061 88416 90872 91312 92352 95784 97458 102231 102726 104256 107152 111134 112944 117888 120546 126432 127712 129944 134773 136308 136968 138528 143676 146187 147667 150592 158918 160728 166701 168576 169416 174122 176832 181744 182624 184704 191568 194916 204462 205452 208512 211159 214304 222268 225888 238377 241092 252864 255424 259888 261183 269546 272616 273936 277056 287352 292374 295334 301184 317836 321456 333402 338832 348244 353664 363488 365248 383136 389832 404319 408924 410904 422318 428608 443001 444536 451776 476754 482184 500103 505728 510848 519776 522366 539092 545232 547872 554112 574704 584748 590668 633477 635672 642912 666804 677664 696488 715131 722371 726976 730496 766272 779664 783549 808638 817848 821808 844636 857216 886002 889072 903552 953508 964368 1000206 1032967 1039552 1044732 1078184 1090464 1095744 1149408 1169496 1181336 1212957 1266954 1271344 1285824 1329003 1333608 1355328 1392976 1430262 1444742 1453952 1532544 1559328 1567098 1617276 1635696 1643616 1689272 1752049 1772004 1778144 1900431 1907016 1928736 2000412 2055979 2065934 2079104 2089464 2156368 2167113 2180928 2191488 2298816 2338992 2362672 2425914 2533908 2542688 2571648 2658006 2667216 2710656 2785952 2860524 2889484 2939983 3098901 3118656 3134196 3234552 3271392 3287232 3378544 3504098 3544008 3556288 3800862 3814032 3857472 4000824 4111958 4131868 4178928 4312736 4334226 4361856 4597632 4677984 4725344 4851828 4986601 5067816 5085376 5256147 5316012 5334432 5571904 5721048 5778968 5879966 6167937 6197802 6237312 6268392 6469104 6501339 6542784 6574464 6757088 7008196 7088016 7112576 7601724 7628064 7714944 8001648 8223916 8263736 8357856 8625472 8668452 8819949 9296703 9355968 9450688 9703656 9973202 10135632 10170752 10512294 10632024 10668864 11143808 11442096 11557936 11759932 12335874 12395604 12536784 12938208 13002678 13085568 13514176 14016392 14176032 14959803 15203448 15256128 15768441 16003296 16447832 16527472 16715712 17250944 17336904 17639898 18503811 18593406 18711936 18901376 19407312 19946404 20271264 21024588 21264048 21337728 22884192 23115872 23519864 24393913 24671748 24791208 25073568 25876416 26005356 26459847 26727727 27028352 28032784 28352064 29919606 30406896 30512256 31536882 32006592 32895664 33054944 33431424 34673808 35279796 37007622 37186812 38219779 38814624 39892808 40542528 42049176 42528096 44879409 45768384 46231744 47039728 48787826 49343496 49582416 50147136 51752832 52010712 52919694 53455454 56065568 56704128 59839212 60813792 63073764 64013184 64825813 65791328 66109888 69347616 70559592 73181739 74015244 74373624 76439558 77629248 79785616 80183181 81085056 84098352 85056192 89758818 91536768 92463488 94079456 97575652 98686992 99164832 100294272 104021424 105839388 106910908 112131136 114659337 119678424 121627584 126147528 129651626 131582656 132219776 138695232 141119184 146363478 148030488 148747248 152879116 155258496 159571232 160366362 168196704 170112384 179517636 188158912 194477439 195151304 197373984 198329664 208042848 211678776 213821816 219545217 224262272 229318674 239356848 240549543 243255168 252295056 259303252 263165312 277390464 282238368 292726956 296060976 297494496 305758232 317120869 319142464 320732724 336393408 343978011 359035272 376317824 388954878 390302608 394747968 396659328 416085696 423357552 427643632 439090434 458637348 478713696 481099086 504590112 518606504 564476736 583432317 585453912 592121952 594988992 611516464 634241738 638284928 641465448 672786816 687956022 718070544 777909756 780605216 789495936 832171392 846715104 855287264 878180868 902574781 917274696 951362607 957427392 962198172 1009180224 1037213008 1128953472 1166864634 1170907824 1184243904 1189977984 1223032928 1268483476 1282930896 1375912044 1436141088 1555819512 1561210432 1693430208 1710574528 1756361736 1805149562 1834549392 1902725214 1914854784 1924396344 2018360448 2074426016 2333729268 2341815648 2368487808 2446065856 2536966952 2565861792 2707724343 2751824088 2854087821 2872282176 3111639024 3122420864 3386860416 3421149056 3512723472 3610299124 3669098784 3805450428 3848792688 4148852032 4667458536 4683631296 4892131712 5073933904 5131723584 5415448686 5503648176 5708175642 5744564352 6223278048 7025446944 7220598248 7338197568 7610900856 7697585376 8123173029 8297704064 9334917072 9367262592 10147867808 10263447168 10830897372 11007296352 11416351284 11733472153 12446556096 14050893888 14441196496 14676395136 15221801712 15395170752 16246346058 18669834144 20295735616 21661794744 22014592704 22832702568 23466944306 24893112192 28101787776 28882392992 30443603424 30790341504 32492692116 35200416459 37339668288 40591471232 43323589488 44029185408 45665405136 46933888612 57764785984 60887206848 64985384232 70400832918 74679336576 86647178976 91330810272 93867777224 105601249377 115529571968 121774413696 129970768464 140801665836 173294357952 182661620544 187735554448 211202498754 259941536928 281603331672 346588715904 365323241088 375471108896 422404997508 519883073856 563206663344 750942217792 844809995016 1039766147712 1126413326688 1501884435584 1689619990032 2252826653376 3379239980064 4505653306752 6758479960128 13516959920256
- Sum of all divisors σ(n): 43498065811200
- Sum of proper divisors (its aliquot sum) s(n): 29981105890944
- 13516959920256 is an abundant number, because the sum of its proper divisors (29981105890944) is greater than itself. Its abundance is 16464145970688
Bases of 13516959920256
- Binary: 110001001011001010011001100000110000100000002
- Hexadecimal: 0xC4B29983080
- Base-36: 4SHLSXSW0
Squares and roots of 13516959920256
- 13516959920256 squared (135169599202562) is 182708205485807089879105536
- 13516959920256 cubed (135169599202563) is 2469659490653551863352073790571168137216
-
The
square root of 13516959920256 is 3676541.8425819663 -
The
cube root of 13516959920256 is 23820.9827902957
Scales and comparisons
How big is 13516959920256?- 13,516,959,920,256 seconds is equal to 429,797 years, 26 weeks, 5 days, 8 hours, 57 minutes, 36 seconds.
-
To count from 1 to 13,516,959,920,256 would take you about one million, seventy-four thousand, four hundred ninety-three 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 13516959920256 cubic inches would be around 1985.1 feet tall.
Recreational maths with 13516959920256
- 13516959920256 backwards is 65202995961531
- The number of decimal digits it has is: 14
- The sum of 13516959920256's digits is 63
- More coming soon!
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The information we have on file for 13516959920256 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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