13428763758166016
13,428,763,758,166,016 is an even composite number composed of five prime numbers multiplied together.
What does the number 13428763758166016 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1026 divisors.
13428763758166016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and twenty-six divisors.
Prime factorization of 13428763758166016:
218 × 132 × 29 × 532 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 29 × 53 × 53 × 61 × 61)See below for interesting mathematical facts about the number 13428763758166016 from the Numbermatics database.
Names of 13428763758166016
- Cardinal: 13428763758166016 can be written as Thirteen quadrillion, four hundred twenty-eight trillion, seven hundred sixty-three billion, seven hundred fifty-eight million, one hundred sixty-six thousand and sixteen.
Scientific notation
- Scientific notation: 1.3428763758166016 × 1016
Factors of 13428763758166016
Divisors of 13428763758166016
- Number of divisors d(n): 1026
-
Complete list of divisors:
1 2 4 8 13 16 26 29 32 52 53 58 61 64 104 106 116 122 128 169 208 212 232 244 256 338 377 416 424 464 488 512 676 689 754 793 832 848 928 976 1024 1352 1378 1508 1537 1586 1664 1696 1769 1856 1952 2048 2704 2756 2809 3016 3074 3172 3233 3328 3392 3538 3712 3721 3904 4096 4901 5408 5512 5618 6032 6148 6344 6466 6656 6784 7076 7424 7442 7808 8192 8957 9802 10309 10816 11024 11236 12064 12296 12688 12932 13312 13568 14152 14848 14884 15616 16384 17914 19604 19981 20618 21632 22048 22472 22997 24128 24592 25376 25864 26624 27136 28304 29696 29768 31232 32768 35828 36517 39208 39962 41236 42029 43264 44096 44944 45994 48256 48373 49184 50752 51728 53248 54272 56608 59392 59536 62464 65536 71656 73034 78416 79924 81461 82472 84058 86528 88192 89888 91988 93757 96512 96746 98368 101504 103456 106496 107909 108544 113216 118784 119072 124928 131072 143312 146068 156832 159848 162922 164944 168116 171349 173056 176384 179776 183976 187514 193024 193492 196736 197213 203008 206912 212992 215818 217088 226432 237568 238144 249856 259753 262144 286624 292136 298961 313664 319696 325844 329888 336232 342698 346112 352768 359552 367952 375028 386048 386984 393472 394426 406016 413824 425984 431636 434176 452864 474721 475136 476288 499712 519506 546377 573248 584272 597922 627328 628849 639392 651688 659776 672464 685396 692224 705536 719104 735904 750056 772096 773968 786944 788852 812032 827648 851968 863272 868352 905728 949442 950272 952576 999424 1039012 1058993 1092754 1146496 1168544 1195844 1218841 1254656 1257698 1278784 1303376 1319552 1344928 1370792 1384448 1402817 1411072 1438208 1471808 1500112 1544192 1547936 1573888 1577704 1624064 1655296 1703936 1726544 1736704 1811456 1898884 1900544 1905152 1998848 2078024 2117986 2185508 2227537 2292992 2337088 2391688 2437682 2509312 2515396 2557568 2563769 2606752 2639104 2689856 2741584 2768896 2805634 2822144 2876416 2943616 3000224 3088384 3095872 3147776 3155408 3248128 3310592 3407872 3453088 3473408 3622912 3797768 3801088 3810304 3997696 4156048 4235972 4371016 4455074 4585984 4674176 4783376 4875364 4969121 5018624 5030792 5115136 5127538 5213504 5278208 5379712 5483168 5537792 5611268 5644288 5719177 5752832 5887232 6000448 6176768 6191744 6295552 6310816 6496256 6621184 6906176 6946816 7245824 7595536 7602176 7620608 7995392 8312096 8471944 8742032 8910148 9171968 9348352 9566752 9750728 9938242 10037248 10061584 10230272 10255076 10427008 10452289 10556416 10759424 10966336 11075584 11222536 11288576 11438354 11505664 11774464 12000896 12353536 12383488 12591104 12621632 12992512 13242368 13766909 13812352 13893632 14491648 15191072 15241216 15844933 15990784 16624192 16943888 17484064 17820296 18236621 18343936 18696704 19133504 19501456 19876484 20074496 20123168 20460544 20510152 20854016 20904578 21112832 21518848 21932672 22151168 22445072 22577152 22876708 23011328 23548928 24001792 24707072 24766976 25182208 25243264 25985024 26484736 27533818 27624704 28957981 28983296 30382144 30482432 31689866 33248384 33328997 33887776 34968128 35640592 36473242 36687872 37393408 38267008 39002912 39752968 40148992 40246336 40921088 41020304 41708032 41809156 42225664 43037696 43865344 44302336 44890144 45154304 45753416 46022656 47097856 48003584 49414144 49533952 50364416 50486528 51970048 52969472 55067636 55249408 57915962 57966592 60764288 60964864 63379732 64598573 66496768 66657994 67775552 69936256 71281184 72946484 73375744 74349301 74786816 76534016 78005824 79505936 80297984 80492672 81842176 82040608 83416064 83618312 84451328 86075392 87730688 89780288 90308608 91506832 92045312 94195712 96007168 98828288 99067904 100728832 100973056 103940096 105938944 110135272 110498816 115831924 115933184 121528576 121929728 126759464 129197146 132993536 133315988 135551104 135879757 139872512 142562368 145892968 146751488 148698602 149573632 153068032 156011648 159011872 160595968 160985344 163684352 164081216 166832128 167236624 168902656 172150784 175461376 179560576 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1066527904 1084408832 1087038056 1118980096 1140498944 1167143744 1174011904 1189588816 1196589056 1212465524 1224544256 1248093184 1272094976 1284767744 1287882752 1309474816 1312649728 1334657024 1337892992 1351221248 1377206272 1403691008 1436484608 1464109312 1507131392 1536114688 1585086464 1615568896 1679562898 1762164352 1766436841 1767981056 1853310784 1933081826 1944457216 2028151424 2067154336 2127896576 2133055808 2168817664 2174076112 2237960192 2280997888 2334287488 2348023808 2379177632 2393178112 2424931048 2449088512 2496186368 2544189952 2575765504 2618949632 2625299456 2669314048 2675785984 2702442496 2754412544 2807382016 2872969216 2928218624 3014262784 3072229376 3170172928 3231137792 3359125796 3524328704 3532873682 3535962112 3706621568 3866163652 3888914432 3940512953 4056302848 4134308672 4255793152 4266111616 4337635328 4348152224 4475920384 4561995776 4668574976 4758355264 4786356224 4849862096 4898177024 4992372736 5088379904 5151531008 5237899264 5250598912 5338628096 5351571968 5508825088 5614764032 5745938432 5856437248 6028525568 6144458752 6340345856 6462275584 6718251592 7048657408 7065747364 7071924224 7413243136 7732327304 7777828864 7881025906 8112605696 8268617344 8511586304 8532223232 8675270656 8696304448 8951840768 9123991552 9337149952 9516710528 9572712448 9699724192 9796354048 9984745472 10176759808 10303062016 10501197824 10677256192 10703143936 11017650176 11229528064 11491876864 11712874496 12288917504 12680691712 12924551168 13436503184 14097314816 14131494728 14143848448 14826486272 15464654608 15555657728 15762051812 16225211392 16537234688 17023172608 17064446464 17350541312 17392608896 17903681536 18247983104 18674299904 19033421056 19399448384 19592708096 19969490944 20353519616 20606124032 21002395648 21354512384 21406287872 22459056128 22983753728 23425748992 24577835008 25849102336 26873006368 28194629632 28262989456 28287696896 29652972544 30929309216 31111315456 31524103624 32450422784 33074469376 34046345216 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277608660992 278281742336 291967729664 298788798464 304534736896 310391174144 319511855104 325656313856 336038330368 342500605952 367740059648 374811983872 409813347112 429968101888 451114074112 452207831296 474447560704 494868947456 504385657984 519206764544 529191510016 546062286848 556563484672 583935459328 597577596928 609069473792 620782348288 651312627712 672076660736 685001211904 749623967744 819626694224 859936203776 902228148224 904415662592 948895121408 989737894912 1008771315968 1038413529088 1058383020032 1092124573696 1113126969344 1195155193856 1218138947584 1241564696576 1302625255424 1370002423808 1499247935488 1639253388448 1719872407552 1804456296448 1808831325184 1897790242816 1979475789824 2017542631936 2076827058176 2116766040064 2184249147392 2226253938688 2390310387712 2436277895168 2483129393152 2740004847616 3278506776896 3439744815104 3608912592896 3617662650368 3795580485632 3958951579648 4035085263872 4153654116352 4233532080128 4368498294784 4452507877376 4780620775424 4872555790336 4966258786304 6557013553792 6879489630208 7235325300736 7591160971264 7917903159296 8070170527744 8467064160256 8736996589568 8905015754752 9745111580672 9932517572608 13114027107584 13758979260416 14470650601472 15835806318592 16140341055488 16934128320512 17810031509504 19490223161344 19865035145216 26228054215168 27517958520832 28941301202944 31671612637184 32280682110976 35620063019008 39730070290432 52456108430336 55035917041664 57882602405888 63343225274368 64561364221952 79460140580864 104912216860672 110071834083328 115765204811776 126686450548736 129122728443904 209824433721344 220143668166656 231530409623552 253372901097472 258245456887808 419648867442688 463060819247104 516490913775616 839297734885376 1032981827551232 1678595469770752 3357190939541504 6714381879083008 13428763758166016
- Sum of all divisors σ(n): 31174473179574270
- Sum of proper divisors (its aliquot sum) s(n): 17745709421408254
- 13428763758166016 is an abundant number, because the sum of its proper divisors (17745709421408254) is greater than itself. Its abundance is 4316945663242238
Bases of 13428763758166016
- Binary: 1011111011010101100011101101011001010000000000000000002
- Hexadecimal: 0x2FB563B5940000
- Base-36: 3O83KWL7FNK
Squares and roots of 13428763758166016
- 13428763758166016 squared (134287637581660162) is 180331696072633061852123817312256
- 13428763758166016 cubed (134287637581660163) is 2421631744668783743487566923647878529672959492096
-
The
square root of 13428763758166016 is 115882542.9396767079 -
The
cube root of 13428763758166016 is 237690.6023513731
Scales and comparisons
How big is 13428763758166016?- 13,428,763,758,166,016 seconds is equal to 426,993,149 years, 32 weeks, 6 hours, 6 minutes, 56 seconds.
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To count from 1 to 13,428,763,758,166,016 would take you about one billion, two hundred eighty million, nine hundred seventy-nine thousand, four hundred forty-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 13428763758166016 cubic inches would be around 19807.6 feet tall.
Recreational maths with 13428763758166016
- 13428763758166016 backwards is 61066185736782431
- The number of decimal digits it has is: 17
- The sum of 13428763758166016's digits is 74
- More coming soon!
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The information we have on file for 13428763758166016 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 13428763758166016, math, Factors of 13428763758166016, curriculum, school, college, exams, university, Prime factorization of 13428763758166016, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, four hundred twenty-eight trillion, seven hundred sixty-three billion, seven hundred fifty-eight million, one hundred sixty-six thousand and sixteen.