13840675733406879840
13,840,675,733,406,879,840 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13840675733406879840 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
13840675733406879840 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 13840675733406879840:
25 × 3 × 5 × 73 × 31 × 61 × 44456002441
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 31 × 61 × 44456002441)See below for interesting mathematical facts about the number 13840675733406879840 from the Numbermatics database.
Names of 13840675733406879840
- Cardinal: 13840675733406879840 can be written as Thirteen quintillion, eight hundred forty quadrillion, six hundred seventy-five trillion, seven hundred thirty-three billion, four hundred six million, eight hundred seventy-nine thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.384067573340687984 × 1019
Factors of 13840675733406879840
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 44456002550
Divisors of 13840675733406879840
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 42 48 49 56 60 61 62 70 80 84 93 96 98 105 112 120 122 124 140 147 155 160 168 183 186 196 210 217 224 240 244 245 248 280 294 305 310 336 343 366 372 392 420 427 434 465 480 488 490 496 560 588 610 620 651 672 686 732 735 744 784 840 854 868 915 930 976 980 992 1029 1085 1120 1176 1220 1240 1281 1302 1372 1464 1470 1488 1519 1568 1680 1708 1715 1736 1830 1860 1891 1952 1960 2058 2135 2170 2352 2440 2480 2562 2604 2744 2928 2940 2976 2989 3038 3255 3360 3416 3430 3472 3660 3720 3782 3920 4116 4270 4340 4557 4704 4880 4960 5124 5145 5208 5488 5673 5856 5880 5978 6076 6405 6510 6832 6860 6944 7320 7440 7564 7595 7840 8232 8540 8680 8967 9114 9455 9760 10248 10290 10416 10633 10976 11346 11760 11956 12152 12810 13020 13237 13664 13720 14640 14880 14945 15128 15190 16464 17080 17360 17934 18228 18910 20496 20580 20832 20923 21266 22692 22785 23520 23912 24304 25620 26040 26474 27440 28365 29280 29890 30256 30380 31899 32928 34160 34720 35868 36456 37820 39711 40992 41160 41846 42532 44835 45384 45570 47824 48608 51240 52080 52948 53165 54880 56730 59780 60512 60760 62769 63798 66185 68320 71736 72912 75640 79422 82320 83692 85064 89670 90768 91140 92659 95648 102480 104160 104615 105896 106330 113460 119560 121520 125538 127596 132370 143472 145824 151280 158844 159495 164640 167384 170128 179340 181536 182280 185318 198555 204960 209230 211792 212660 226920 239120 243040 251076 255192 264740 277977 286944 302560 313845 317688 318990 334768 340256 358680 364560 370636 397110 418460 423584 425320 453840 463295 478240 502152 510384 529480 555954 627690 635376 637980 648613 669536 717360 729120 741272 794220 836920 850640 907680 926590 1004304 1020768 1058960 1111908 1255380 1270752 1275960 1297226 1389885 1434720 1482544 1588440 1673840 1701280 1853180 1945839 2008608 2117920 2223816 2510760 2551920 2594452 2779770 2965088 3176880 3243065 3347680 3706360 3891678 4447632 5021520 5103840 5188904 5559540 6353760 6486130 7412720 7783356 8895264 9729195 10043040 10377808 11119080 12972260 14825440 15566712 19458390 20755616 22238160 25944520 31133424 38916780 44476320 51889040 62266848 77833560 103778080 155667120 311334240 44456002441 88912004882 133368007323 177824009764 222280012205 266736014646 311192017087 355648019528 444560024410 533472029292 622384034174 666840036615 711296039056 889120048820 933576051261 1066944058584 1244768068348 1333680073230 1378136075671 1422592078112 1555960085435 1778240097640 1867152102522 2133888117168 2178344119609 2489536136696 2667360146460 2711816148901 2756272151342 3111920170870 3556480195280 3734304205044 4134408227013 4267776234336 4356688239218 4667880256305 4979072273392 5334720292920 5423632297802 5512544302684 6223840341740 6535032358827 6890680378355 7112960390560 7468608410088 8135448446703 8268816454026 8713376478436 9335760512610 9646952529697 9958144546784 10669440585840 10847264595604 10891720598045 11025088605368 12447680683480 13070064717654 13559080744505 13781360756710 14937216820176 15248408837263 16270896893406 16537632908052 17426752956872 18671521025220 18982713042307 19293905059394 20672041135065 21338881171680 21694529191208 21783441196090 22050177210736 24895361366960 26140129435308 27118161489010 27562721513420 28940857589091 29874433640352 30496817674526 32541793786812 32675161794135 33075265816104 34853505913744 37343042050440 37965426084614 38587810118788 40677242233515 41344082270130 43389058382416 43566882392180 44100354421472 45745226511789 48234762648485 49790722733920 52280258870616 54236322978020 55125443026840 56948139126921 57881715178182 60993635349052 65083587573624 65350323588270 66150531632208 67528667707879 69707011827488 74686084100880 75930852169228 76242044186315 77175620237576 81354484467030 82688164540260 84066300615931 86778116764832 87133764784360 91490453023578 94913565211535 96469525296970 104560517741232 108472645956040 110250886053680 113896278253842 115763430356364 121987270698104 130167175147248 130700647176540 132301063264416 132878991296149 135057335415758 144704287945455 149372168201760 151861704338456 152484088372630 154351240475152 162708968934060 165376329080520 168132601231862 174267529568720 182980906047156 189827130423070 192939050593940 202586003123637 209121035482464 216945291912080 220501772107360 227792556507684 228726132558945 231526860712728 243974541396208 252198901847793 260334350294496 261401294353080 265757982592298 270114670831516 284740695634605 289408575890910 303723408676912 304968176745260 308702480950304 325417937868120 330752658161040 336265202463724 337643338539395 348535059137440 365961812094312 379654260846140 385878101187880 398636973888447 405172006247274 420331503079655 433890583824160 455585113015368 457452265117890 463053721425456 472700673955153 487949082792416 504397803695586 522802588706160 531515965184596 540229341663032 569481391269210 578817151781820 588464104311517 607446817353824 609936353490520 650835875736240 661505316322080 664394956480745 672530404927448 675286677078790 731923624188624 759308521692280 771756202375760 797273947776894 810344012494548 840663006159310 911170226030736 914904530235780 926107442850912 930152939073043 945401347910306 1008795607391172 1012930015618185 1045605177412320 1063031930369192 1080458683326064 1138962782538420 1157634303563640 1176928208623034 1219872706981040 1260994509238965 1301671751472480 1328789912961490 1345060809854896 1350573354157580 1418102021865459 1463847248377248 1518617043384560 1543512404751520 1594547895553788 1620688024989096 1681326012318620 1765392312934551 1822340452061472 1829809060471560 1860305878146086 1890802695820612 1993184869442235 2017591214782344 2025860031236370 2126063860738384 2160917366652128 2277925565076840 2315268607127280 2353856417246068 2363503369775765 2439745413962080 2521989018477930 2657579825922980 2690121619709792 2701146708315160 2790458817219129 2836204043730918 2942320521557585 3037234086769120 3189095791107576 3241376049978192 3362652024637240 3530784625869102 3659618120943120 3720611756292172 3781605391641224 3986369738884470 4035182429564688 4051720062472740 4119248730180619 4252127721476768 4555851130153680 4630537214254560 4650764695365215 4707712834492136 4727006739551530 5043978036955860 5315159651845960 5402293416630320 5580917634438258 5672408087461836 5884641043115170 6378191582215152 6482752099956384 6725304049274480 7061569251738204 7090510109327295 7319236241886240 7441223512584344 7563210783282448 7972739477768940 8070364859129376 8103440124945480 8238497460361238 8826961564672755 9111702260307360 9301529390730430 9415425668984272 9454013479103060 10087956073911720 10630319303691920 10804586833260640 11161835268876516 11344816174923672 11769282086230340 12357746190541857 12756383164430304 13450608098548960 13952294086095645 14123138503476408 14181020218654590 14882447025168688 15126421566564896 15945478955537880 16206880249890960 16476994920722476 17653923129345510 18603058781460860 18830851337968544 18908026958206120 20175912147823440 20596243650903095 21260638607383840 22323670537753032 22689632349847344 23538564172460680 24715492381083714 27904588172191290 28246277006952816 28362040437309180 28834741111264333 29764894050337376 31890957911075760 32413760499781920 32953989841444952 35307846258691020 37206117562921720 37816053916412240 40351824295646880 41192487301806190 44647341075506064 45379264699694688 47077128344921360 49430984762167428 55809176344382580 56492554013905632 56724080874618360 57669482222528666 61788730952709285 63781915822151520 65907979682889904 70615692517382040 74412235125843440 75632107832824480 82384974603612380 86504223333792999 89294682151012128 94154256689842720 98861969524334856 111618352688765160 113448161749236720 115338964445057332 123577461905418570 131815959365779808 141231385034764080 144173705556321665 148824470251686880 164769949207224760 173008446667585998 197723939048669712 223236705377530320 226896323498473440 230677928890114664 247154923810837140 282462770069528160 288347411112643330 329539898414449520 346016893335171996 395447878097339424 432521116668964995 446473410755060640 461355857780229328 494309847621674280 576694822225286660 659079796828899040 692033786670343992 865042233337929990 922711715560458656 988619695243348560 1153389644450573320 1384067573340687984 1730084466675859980 1977239390486697120 2306779288901146640 2768135146681375968 3460168933351719960 4613558577802293280 6920337866703439920 13840675733406879840
- Sum of all divisors σ(n): 53343788709412454400
- Sum of proper divisors (its aliquot sum) s(n): 39503112976005574560
- 13840675733406879840 is an abundant number, because the sum of its proper divisors (39503112976005574560) is greater than itself. Its abundance is 25662437242598694720
Bases of 13840675733406879840
- Binary: 11000000000100111111010100111111100111010001011000010000011000002
- Hexadecimal: 0xC013F53F9D161060
- Base-36: 2X5KU2MBWWBXC
Squares and roots of 13840675733406879840
- 13840675733406879840 squared (138406757334068798402) is 191564304757318071144635396644198425600
- 13840675733406879840 cubed (138406757334068798403) is 2651379424241572335123291483082624651483653957136379904000
-
The
square root of 13840675733406879840 is 3720305865.5716575155 -
The
cube root of 13840675733406879840 is 2400964.6430930501
Scales and comparisons
How big is 13840675733406879840?- 13,840,675,733,406,879,840 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,840,675,733,406,879,840 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13840675733406879840 cubic inches would be around 200080.4 feet tall.
Recreational maths with 13840675733406879840
- 13840675733406879840 backwards is 04897860433757604831
- 13840675733406879840 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13840675733406879840's digits is 93
- More coming soon!
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The information we have on file for 13840675733406879840 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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