13728971849780096
13,728,971,849,780,096 is an even composite number composed of six prime numbers multiplied together.
13728971849780096 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13728971849780096:
27 × 72 × 133 × 412 × 532 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 13 × 41 × 41 × 53 × 53 × 211)See below for interesting mathematical facts about the number 13728971849780096 from the Numbermatics database.
Names of 13728971849780096
- Cardinal: 13728971849780096 can be written as Thirteen quadrillion, seven hundred twenty-eight trillion, nine hundred seventy-one billion, eight hundred forty-nine million, seven hundred eighty thousand and ninety-six.
Scientific notation
- Scientific notation: 1.3728971849780096 × 1016
Factors of 13728971849780096
Divisors of 13728971849780096
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 41 49 52 53 56 64 82 91 98 104 106 112 128 164 169 182 196 208 211 212 224 287 328 338 364 371 392 416 422 424 448 533 574 637 656 676 689 728 742 784 832 844 848 896 1066 1148 1183 1274 1312 1352 1378 1456 1477 1484 1568 1664 1681 1688 1696 2009 2132 2173 2197 2296 2366 2548 2597 2624 2704 2743 2756 2809 2912 2954 2968 3136 3362 3376 3392 3731 4018 4264 4346 4394 4592 4732 4823 5096 5194 5248 5408 5486 5512 5618 5824 5908 5936 6272 6724 6752 6784 6929 7462 8036 8281 8528 8651 8692 8788 8957 9184 9464 9646 10192 10339 10388 10816 10972 11024 11183 11236 11648 11767 11816 11872 13448 13504 13858 14924 15211 15379 16072 16562 17056 17302 17384 17576 17914 18368 18928 19201 19292 19663 20384 20678 20776 21632 21853 21944 22048 22366 22472 23534 23632 23744 26117 26896 27008 27716 28249 29848 30422 30758 32144 33124 33761 34112 34604 34768 35152 35659 35828 36517 36736 37856 38402 38584 39326 40768 41356 41552 43706 43888 44096 44732 44944 47068 47264 47488 48503 52234 53792 55432 56498 59696 60557 60844 61516 62699 64288 66248 67522 68224 69208 69536 70304 71318 71656 73034 75712 76804 77168 78281 78652 81536 82369 82712 83104 87412 87776 88192 89093 89464 89888 90077 94136 94528 97006 104468 106477 107584 107653 110864 112463 112996 115169 116441 119392 121114 121688 123032 125398 128576 132496 134407 135044 137641 138416 139072 140608 142636 143312 145379 146068 151424 152971 153608 154336 156562 157304 164738 165424 166208 174824 175552 178186 178928 179776 180154 188272 189056 194012 197743 208936 212954 215168 215306 221728 224926 225992 230338 232882 238784 242228 243376 246064 249613 250796 255619 257152 264992 268814 270088 275282 276832 278144 281216 284089 285272 286624 290758 292136 305942 307216 308672 313124 314608 329476 330848 332416 339521 349648 351104 354691 356372 357856 359552 360308 367237 376544 388024 395486 417872 423899 425908 430612 438893 443456 449852 451984 458503 460676 463567 465764 474721 477568 484456 486752 492128 499226 501592 511238 529984 537628 540176 547967 550564 553664 568178 570544 573248 581516 584272 592699 611884 614432 617344 623651 626248 629216 630539 658952 661696 679042 699296 709382 712744 715712 720616 734474 753088 776048 787241 790972 806183 815087 835744 847798 851816 861224 877786 886912 899704 903968 917006 921352 927134 931528 949442 968912 973504 984256 998452 1003184 1017653 1022476 1059968 1070797 1075256 1080352 1095934 1101128 1107328 1136356 1141088 1146496 1158209 1163032 1168544 1185398 1223768 1228864 1247302 1252496 1258432 1261078 1317904 1323392 1358084 1384201 1398592 1418764 1425488 1431424 1441232 1462019 1468948 1497197 1506176 1552096 1574482 1581944 1612366 1630174 1671488 1695596 1703632 1722448 1747291 1755572 1789333 1799408 1807936 1834012 1842704 1854268 1863056 1889927 1898884 1937824 1947008 1968512 1988623 1996904 2006368 2035306 2044952 2141594 2150512 2160704 2191868 2202256 2272712 2282176 2316418 2326064 2337088 2370796 2447536 2457728 2482837 2494604 2504992 2516864 2522156 2570659 2635808 2716168 2768402 2797184 2837528 2850976 2882464 2924038 2937896 2994394 3104192 3148964 3163888 3209521 3224732 3244969 3260348 3323047 3342976 3391192 3407264 3444896 3494582 3511144 3578666 3598816 3615872 3668024 3685408 3693157 3708536 3726112 3779854 3797768 3875648 3977246 3993808 4012736 4070612 4089904 4148893 4283188 4301024 4321408 4365557 4383736 4404512 4413773 4545424 4564352 4610983 4632836 4652128 4674176 4721929 4741592 4774081 4895072 4965674 4989208 5009984 5044312 5141318 5271616 5432336 5510687 5536804 5643281 5675056 5701952 5705609 5764928 5848076 5875792 5960539 5988788 6171373 6208384 6297928 6327776 6419042 6449464 6489938 6520696 6646094 6782384 6814528 6889792 6989164 7022288 7123571 7157332 7197632 7336048 7370816 7386314 7417072 7452224 7559708 7595536 7705087 7751296 7954492 7987616 8025472 8107463 8141224 8179808 8297786 8566376 8602048 8731114 8767472 8809024 8827546 9090848 9221966 9265672 9304256 9443858 9483184 9548162 9790144 9931348 9978416 10019968 10088624 10234133 10282636 10480379 10543232 10864672 11021374 11073608 11286562 11350112 11403904 11411218 11529856 11696152 11751584 11921078 11977576 12342746 12595856 12655552 12838084 12898928 12979876 13041392 13229489 13292188 13564768 13629056 13779584 13920361 13978328 14044576 14247142 14314664 14395264 14672096 14741632 14772628 14834144 14904448 15056717 15119416 15191072 15410174 15908984 15975232 16214926 16282448 16359616 16595572 17132752 17204096 17379859 17462228 17534944 17618048 17655092 17994613 18181696 18443932 18531344 18608512 18798623 18887716 18966368 19006247 19096324 19463561 19580288 19862696 19956832 20177248 20468266 20565272 20960758 21729344 22042748 22147216 22466647 22573124 22700224 22714783 22822436 23261329 23392304 23503168 23842156 23955152 24300659 24569051 24685492 25191712 25311104 25676168 25797856 25852099 25959752 26082784 26458978 26584376 27129536 27840722 27956656 28089152 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31280908672 31882464608 32234594912 32387365504 32854490968 34714179136 35381759504 36460471684 37384500608 38103433312 38183550223 38364514916 38524271968 38706851456 39102294049 39265123352 40436296576 41300574731 41496312052 41669110496 43638343112 43845159904 44477542018 44688336056 44874426688 46995138736 47217864512 47898891404 48125900368 48326305664 48820023931 49359223459 49593153428 49872392128 50831476592 51072384064 51809004988 53388547823 53708729984 54741590176 55001028992 55794313064 56410541096 56677889632 57495359194 58952481728 59603590592 60749813488 61037727296 61918079132 63764929216 63805825447 64469189824 65708981936 69428358272 70763519008 72618546091 72920943368 76206866624 76367100446 76729029832 77048543936 78204588098 78530246704 82601149462 82992624104 83338220992 87276686224 87690319808 88955084036 89376672112 89748853376 90665758729 93990277472 94435729024 95797782808 96251800736 97640047862 98718446918 99186306856 99744784256 101662953184 102144768128 103618009976 106777095646 109483180352 111588626128 112821082192 113355779264 114990718388 117904963456 119207181184 121499626976 122075454592 123836158264 127529858432 127611650894 128938379648 131417963872 141527038016 145237092182 145841886736 152413733248 152734200892 153458059664 154097087872 155671397063 156409176196 157060493408 165202298924 165985248208 166676441984 168379266211 174553372448 175380639616 177910168072 178753344224 181331517458 187980554944 191595565616 192503601472 195280095724 197436893836 198372613712 201233757179 203325906368 207236019952 213554191292 218966360704 223177252256 225642164384 226711558528 229981436776 242999253952 247672316528 255223301788 262835927744 283054076032 289104023117 290474184364 291683773472 305468401784 306916119328 311342794126 312818352392 314120986816 330404597848 331970496416 336758532422 349106744896 355820336144 357506688448 362663034916 373719834761 375961109888 383191131232 385007202944 390560191448 394873787672 396745227424 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2490742353008 2502546819136 2538641244412 2616038843327 2643236782784 2694068259376 2846562689152 2901304279328 2989758678088 3124481531584 3158990301376 3219740114864 3416867060672 3679702988416 4047456323638 4066638581096 4083572828608 4377860921486 4625664369872 4647586949824 4714619453908 4887494428544 4981484706016 5005093638272 5077282488824 5232077686654 5286473565568 5388136518752 5802608558656 5979517356176 6248963063168 6317980602752 6439480229728 6833734121344 8094912647276 8133277162192 8167145657216 8250584044339 8755721842972 9251328739744 9295173899648 9429238907816 9962969412032 10154564977648 10464155373308 10776273037504 11605217117312 11959034712352 12878960459456 15322513225201 16189825294552 16266554324384 16501168088678 17511443685944 18502657479488 18858477815632 19925938824064 20309129955296 20928310746616 21552546075008 23918069424704 25757920918912 30645026450402 32379650589104 32533108648768 33002336177356 35022887371888 37005314958976 37716955631264 40618259910592 41856621493232 47836138849408 61290052900804 64759301178208 65066217297536 66004672354712 70045774743776 75433911262528 81236519821184 83713242986464 107257592576407 122580105801608 129518602356416 132009344709424 140091549487552 150867822525056 167426485972928 214515185152814 245160211603216 259037204712832 264018689418848 280183098975104 334852971945856 429030370305628 490320423206432 528037378837696 858060740611256 980640846412864 1056074757675392 1716121481222512 1961281692825728 3432242962445024 6864485924890048 13728971849780096
- Sum of all divisors σ(n): 36177160744040400
- Sum of proper divisors (its aliquot sum) s(n): 22448188894260304
- 13728971849780096 is an abundant number, because the sum of its proper divisors (22448188894260304) is greater than itself. Its abundance is 8719217044480208
Bases of 13728971849780096
- Binary: 1100001100011001101101010110100011110011001011100000002
- Hexadecimal: 0x30C66D5A3CCB80
- Base-36: 3R6IILJT668
Squares and roots of 13728971849780096
- 13728971849780096 squared (137289718497800962) is 188484668052054310848643557769216
- 13728971849780096 cubed (137289718497800963) is 2587700701801799435868858064124555147641918324736
-
The
square root of 13728971849780096 is 117170695.3541716249 -
The
cube root of 13728971849780096 is 239448.8036382763
Scales and comparisons
How big is 13728971849780096?- 13,728,971,849,780,096 seconds is equal to 436,538,838 years, 16 weeks, 6 days, 5 hours, 34 minutes, 56 seconds.
-
To count from 1 to 13,728,971,849,780,096 would take you about one billion, three hundred nine million, six hundred sixteen thousand, five hundred fourteen 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 13728971849780096 cubic inches would be around 19954.1 feet tall.
Recreational maths with 13728971849780096
- 13728971849780096 backwards is 69008794817982731
- The number of decimal digits it has is: 17
- The sum of 13728971849780096's digits is 89
- More coming soon!
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"Number 13728971849780096 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 13728971849780096 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/13728971849780096/
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The information we have on file for 13728971849780096 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 13728971849780096, math, Factors of 13728971849780096, curriculum, school, college, exams, university, Prime factorization of 13728971849780096, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, seven hundred twenty-eight trillion, nine hundred seventy-one billion, eight hundred forty-nine million, seven hundred eighty thousand and ninety-six.