13840148520849664
13,840,148,520,849,664 is an even composite number composed of five prime numbers multiplied together.
What does the number 13840148520849664 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
13840148520849664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13840148520849664:
28 × 133 × 172 × 373 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 13 × 17 × 17 × 37 × 37 × 37 × 41 × 41)See below for interesting mathematical facts about the number 13840148520849664 from the Numbermatics database.
Names of 13840148520849664
- Cardinal: 13840148520849664 can be written as Thirteen quadrillion, eight hundred forty trillion, one hundred forty-eight billion, five hundred twenty million, eight hundred forty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3840148520849664 × 1016
Factors of 13840148520849664
Divisors of 13840148520849664
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 8 13 16 17 26 32 34 37 41 52 64 68 74 82 104 128 136 148 164 169 208 221 256 272 289 296 328 338 416 442 481 533 544 578 592 629 656 676 697 832 884 962 1066 1088 1156 1184 1258 1312 1352 1369 1394 1517 1664 1681 1768 1924 2132 2176 2197 2312 2368 2516 2624 2704 2738 2788 2873 3034 3328 3362 3536 3757 3848 4264 4352 4394 4624 4736 5032 5248 5408 5476 5576 5746 6068 6253 6724 6929 7072 7514 7696 8177 8528 8788 9061 9248 9472 10064 10496 10693 10816 10952 11152 11492 11849 12136 12506 13448 13858 14144 15028 15392 16354 17056 17576 17797 18122 18496 19721 20128 21386 21632 21853 21904 22304 22984 23273 23698 24272 25012 25789 26896 27716 28288 28577 30056 30784 32708 34112 35152 35594 36244 36992 37349 39442 40256 42772 43264 43706 43808 44608 45968 46546 47396 48544 48841 50024 50653 51578 53792 55432 56129 56576 57154 60112 61568 62197 65416 68224 70304 71188 72488 73984 74698 78884 80512 81289 85544 87412 87616 89216 90077 91936 93092 94792 97088 97682 100048 101306 103156 106301 107584 110864 112258 114308 117793 120224 123136 124394 130832 136448 139009 140608 142376 144976 149396 154037 157768 161024 162578 171088 174824 175232 178432 180154 183872 186184 189584 194176 195364 200096 202612 206312 212602 215168 221728 224516 228616 231361 235586 240448 248788 256373 261664 278018 281216 284089 284752 289952 298792 302549 308074 315536 325156 335257 342176 349648 350464 360308 367744 371501 372368 379168 388352 390728 395641 400192 405224 412624 425204 430336 438413 443456 449032 457232 462722 471172 480896 485809 497576 512746 523328 556036 562432 568178 569504 579904 597584 605098 616148 631072 634933 650312 658489 670514 684352 699296 720616 729677 735488 743002 744736 758336 781456 791282 800384 808561 810448 825248 850408 861101 876826 886912 898064 914464 925444 942344 954193 961792 971618 995152 1025492 1046656 1057349 1112072 1136356 1139008 1159808 1195168 1210196 1232296 1262144 1269866 1300624 1316978 1341028 1368704 1381913 1398592 1441232 1459354 1486004 1489472 1516672 1531309 1562912 1582564 1600768 1617122 1620896 1650496 1700816 1722202 1753652 1773824 1796128 1807117 1828928 1850888 1884688 1908386 1943236 1990304 2002481 2050984 2076773 2093312 2114698 2224144 2272712 2278016 2301289 2319616 2390336 2420392 2464592 2524288 2539732 2601248 2633956 2682056 2737408 2763826 2797184 2882464 2918708 2972008 2978944 3007693 3033344 3062618 3125824 3165128 3234244 3241792 3300992 3332849 3401632 3444404 3507304 3592256 3614234 3657856 3693157 3701776 3769376 3816772 3886472 3933137 3980608 4004962 4101968 4153546 4229396 4358341 4448288 4545424 4556032 4602578 4780672 4829513 4840784 4929184 5048576 5079464 5143333 5202496 5267912 5364112 5527652 5594368 5699369 5764928 5837416 5944016 5957888 6015386 6125236 6251648 6315517 6330256 6468488 6483584 6601984 6665698 6803264 6888808 7014608 7184512 7228468 7315712 7386314 7403552 7538752 7633544 7772944 7866274 7961216 8009924 8203936 8307092 8458792 8560357 8716682 8896576 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42143296 42912896 44221216 44777252 45594952 46699328 46985042 47552128 48123088 49001888 49618036 50524136 50642048 51130781 51747904 52064506 53325584 53996098 54982148 55110464 56116864 56658433 57827744 58554868 59090512 59228416 59833514 61068352 62183552 62783669 62930192 64079392 64885124 65631488 66456736 66863329 67670336 68482856 69733456 70610282 71899732 72726784 73641248 74091797 75886408 77272208 77452544 78243826 81271424 82101721 82293328 84090344 84286592 85147693 85825792 88442432 89554504 91189904 93398656 93970084 95104256 96246176 98003776 99236072 101048272 101284096 102261562 103495808 104129012 106651168 107992196 109964296 110220928 111284641 112233728 113316866 115655488 117109736 118181024 119667028 122136704 123315413 124367104 125567338 125860384 128158784 129770248 132913472 133726658 135340672 136646809 136965712 139466912 141220564 143799464 145526069 147282496 148183594 151772816 154544416 156487652 161258617 162542848 164203442 164586656 168180688 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9291983012 9313668416 9483750016 9602998352 9895772692 10015209728 10111863866 10320551488 10509020288 10641160336 10898904704 10965585956 11231188384 11436286784 11580086248 11933137658 12151054708 12179412544 12445370912 13089479936 13223206594 13496105792 13907572432 14244434048 14389960117 14504558848 14686938656 14955144256 15134711176 15411093776 15604872322 15784372864 16072619264 16274715808 16770896168 17077157968 17117012224 17291885546 17490791552 17710720144 18250681124 18583966024 18627336832 18817640153 18967500032 19205996704 19791545384 20223727732 20641102976 21018040576 21282320672 21797809408 21931171912 22462376768 22872573568 23160172496 23866275316 24302109416 24358825088 24607683277 24890741824 26446413188 26992211584 27815144864 28488868096 28779920234 29373877312 29910288512 30269422352 30822187552 31209744644 31568745728 32161261249 32549431616 33541792336 34154315936 34583771092 34981583104 35421440288 35638154357 36501362248 37167932048 37254673664 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196861466216 202863340186 211571305504 222521158912 224794512098 230239361872 242155378816 244629321989 246577500416 249677957152 257290089992 268334338688 273234527488 276670168736 283371522304 285105234856 292010897984 297343456384 301082242448 310261579108 315927422408 316664726144 319899882601 323579643712 343803371444 350898750592 370562759936 374138963042 381860405056 388833750656 393722932432 405726680372 423142611008 449589024196 460478723744 484310757632 489258643978 499355914304 514580179984 536668677376 553340337472 570210469712 584021795968 594686912768 602164484896 620523158216 631854844816 633329452288 639799765202 647159287424 687606742888 701797501184 748277926084 763720810112 777667501312 787445864864 811453360744 846285222016 899178048392 920957447488 978517287956 998711828608 1029160359968 1106680674944 1140420939424 1168043591936 1204328969792 1241046316432 1263709689632 1279599530404 1294318574848 1318611711209 1375213485776 1461164328637 1496555852168 1527441620224 1574891729728 1622906721488 1692570444032 1798356096784 1841914894976 1957034575912 1997423657216 2058320719936 2213361349888 2280841878848 2408657939584 2482092632864 2527419379264 2559199060808 2637223422418 2750426971552 2922328657274 2993111704336 3149783459456 3180181185857 3245813442976 3596712193568 3683829789952 3914069151824 4116641439872 4158698473813 4561683757696 4817315879168 4964185265728 5054838758528 5118398121616 5274446844836 5500853943104 5844657314548 5986223408672 6299566918912 6360362371714 6491626885952 7193424387136 7828138303648 8233282879744 8317396947626 9123367515392 9928370531456 10109677517056 10236796243232 10548893689672 11001707886208 11689314629096 11972446817344 12720724743428 12983253771904 14386848774272 15656276607296 16634793895252 19856741062912 20473592486464 21097787379344 22003415772416 23378629258192 23944893634688 25441449486856 25966507543808 28773697548544 31312553214592 33269587790504 40947184972928 42195574758688 46757258516384 47889787269376 50882898973712 54063080159569 62625106429184 66539175581008 81894369945856 84391149517376 93514517032768 101765797947424 108126160319138 133078351162016 168782299034752 187029034065536 203531595894848 216252320638276 266156702324032 337564598069504 374058068131072 407063191789696 432504641276552 532313404648064 814126383579392 865009282553104 1064626809296128 1730018565106208 3460037130212416 6920074260424832 13840148520849664
- Sum of all divisors σ(n): 33490811734298800
- Sum of proper divisors (its aliquot sum) s(n): 19650663213449136
- 13840148520849664 is an abundant number, because the sum of its proper divisors (19650663213449136) is greater than itself. Its abundance is 5810514692599472
Bases of 13840148520849664
- Binary: 1100010010101110001010101100000011100101010001000000002
- Hexadecimal: 0x312B8AB0395100
- Base-36: 3S9X8GF9O1S
Squares and roots of 13840148520849664
- 13840148520849664 squared (138401485208496642) is 191549711079177142304916488912896
- 13840148520849664 cubed (138401485208496643) is 2651076450461654022603597300190778546949606866944
-
The
square root of 13840148520849664 is 117644160.5896768001 -
The
cube root of 13840148520849664 is 240093.4157231273
Scales and comparisons
How big is 13840148520849664?- 13,840,148,520,849,664 seconds is equal to 440,073,912 years, 29 weeks, 5 days, 12 hours, 1 minute, 4 seconds.
-
To count from 1 to 13,840,148,520,849,664 would take you about one billion, three hundred twenty million, two hundred twenty-one thousand, seven hundred thirty-seven 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 13840148520849664 cubic inches would be around 20007.8 feet tall.
Recreational maths with 13840148520849664
- 13840148520849664 backwards is 46694802584104831
- The number of decimal digits it has is: 17
- The sum of 13840148520849664's digits is 73
- More coming soon!
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"Number 13840148520849664 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 13840148520849664 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/13840148520849664/
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The information we have on file for 13840148520849664 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 13840148520849664, math, Factors of 13840148520849664, curriculum, school, college, exams, university, Prime factorization of 13840148520849664, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred forty trillion, one hundred forty-eight billion, five hundred twenty million, eight hundred forty-nine thousand, six hundred sixty-four.