13408123903660968000
13,408,123,903,660,968,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13408123903660968000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1792 divisors.
13408123903660968000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 13408123903660968000:
26 × 3 × 53 × 127 × 191 × 421 × 2801 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 127 × 191 × 421 × 2801 × 19531)See below for interesting mathematical facts about the number 13408123903660968000 from the Numbermatics database.
Names of 13408123903660968000
- Cardinal: 13408123903660968000 can be written as Thirteen quintillion, four hundred eight quadrillion, one hundred twenty-three trillion, nine hundred three billion, six hundred sixty million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3408123903660968 × 1019
Factors of 13408123903660968000
Divisors of 13408123903660968000
- Number of divisors d(n): 1792
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 127 150 160 191 192 200 240 250 254 300 320 375 381 382 400 421 480 500 508 573 600 635 750 762 764 800 842 955 960 1000 1016 1146 1200 1263 1270 1500 1524 1528 1600 1684 1905 1910 2000 2032 2105 2292 2400 2526 2540 2801 2865 3000 3048 3056 3175 3368 3810 3820 4000 4064 4210 4584 4775 4800 5052 5080 5602 5730 6000 6096 6112 6315 6350 6736 7620 7640 8000 8128 8403 8420 9168 9525 9550 10104 10160 10525 11204 11460 12000 12192 12224 12630 12700 13472 14005 14325 15240 15280 15875 16806 16840 18336 19050 19100 19531 20208 20320 21050 22408 22920 23875 24000 24257 24384 25260 25400 26944 28010 28650 30480 30560 31575 31750 33612 33680 36672 38100 38200 39062 40416 40640 42015 42100 44816 45840 47625 47750 48514 50520 50800 52625 53467 56020 57300 58593 60960 61120 63150 63500 67224 67360 70025 71625 72771 76200 76400 78124 80411 80832 84030 84200 89632 91680 95250 95500 97028 97655 101040 101600 105250 106934 112040 114600 117186 121285 121920 126300 127000 134448 134720 140050 143250 145542 152400 152800 156248 157875 160401 160822 168060 168400 179264 183360 190500 191000 194056 195310 202080 203200 210075 210500 213868 224080 229200 234372 241233 242570 252600 254000 267335 268896 280100 286500 291084 292965 304800 305600 312496 315750 320802 321644 336120 336800 350125 355727 363855 381000 382000 388112 390620 402055 404160 420150 421000 427736 448160 458400 468744 482466 485140 488275 505200 508000 534670 534991 537792 560200 573000 582168 585930 606425 609600 624992 631500 641604 643288 672240 673600 700250 711454 727710 762000 764000 776224 781240 802005 804110 840300 842000 855472 896320 916800 937488 964932 970280 976550 1010400 1016000 1050375 1067181 1069340 1069982 1120400 1146000 1164336 1171860 1179221 1206165 1212850 1249984 1263000 1283208 1286576 1336675 1344480 1400500 1422908 1455420 1464825 1524000 1528000 1552448 1562480 1604010 1604973 1608220 1680600 1684000 1710944 1778635 1819275 1874976 1929864 1940560 1953100 2010275 2020800 2100750 2134362 2138680 2139964 2240800 2292000 2328672 2343720 2358442 2412330 2425700 2441375 2480437 2526000 2566416 2573152 2673350 2674955 2688960 2801000 2845816 2910840 2929650 3032125 3048000 3124960 3208020 3209946 3216440 3361200 3368000 3421888 3537663 3557270 3638550 3730421 3749952 3859728 3881120 3906200 4010025 4020550 4201500 4268724 4277360 4279928 4481600 4584000 4657344 4687440 4716884 4824660 4851400 4882750 4960874 5052000 5132832 5146304 5335905 5346700 5349910 5602000 5691632 5821680 5859300 5896105 6030825 6064250 6249920 6416040 6419892 6432880 6683375 6722400 7075326 7114540 7277100 7324125 7441311 7460842 7719456 7762240 7812400 8020050 8024865 8041100 8222551 8403000 8537448 8554720 8559856 8893175 9096375 9374880 9433768 9649320 9702800 9765500 9921748 10051375 10104000 10212197 10265664 10671810 10693400 10699820 11191263 11204000 11383264 11643360 11718600 11792210 12061650 12128500 12402185 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58499667991540 59836325882100 62693455326000 63696550611216 63825414274240 65984861730615 66350573553350 68650473112800 69094096053000 70199601589848 70383852512656 73124584989425 74795407352625 79620688264020 79781767842800 83372448444000 83591273768000 84928734148288 85813091391000 87749501987310 87979815640820 92125461404000 93599468786464 95738121411360 99525860330025 99727209803500 105575778768984 106160917685360 109974769551025 110550553684800 114417455188000 116999335983080 119672651764200 125386910652000 127393101222432 131969723461230 132701147106700 137300946225600 138188192106000 140399203179696 140767705025312 146249169978850 149590814705250 159241376528040 159563535685600 165876433883375 166744896888000 171626182782000 175499003974620 175959631281640 184250922808000 187198937572928 191476242822720 199051720660050 199454419607000 211151557537968 212321835370720 219373754968275 219949539102050 228834910376000 233998671966160 239345303528400 250773821304000 254786202444864 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1595635356856000 1649621543265375 1676015487957621 1754990039746200 1759596312816400 1990517206600500 2111515575379680 2123218353707200 2193737549682750 2199495391020500 2234687317276828 2339986719661600 2393453035284000 2639394469224600 2654022942134000 2793359146596035 2807984063593920 2924983399577000 3184827530560800 3299243086530750 3352030975915242 3509980079492400 3519192625632800 3981034413201000 4223031150759360 4387475099365500 4398990782041000 4469374634553656 4679973439323200 4786906070568000 5278788938449200 5308045884268000 5586718293192070 5849966799154000 6369655061121600 6598486173061500 6704061951830484 7019960158984800 7038385251265600 7962068826402000 8380077439788105 8774950198731000 8797981564082000 8938749269107312 10557577876898400 10616091768536000 11173436586384140 11699933598308000 13196972346123000 13408123903660968 13966795732980175 14039920317969600 15924137652804000 16760154879576210 17549900397462000 17595963128164000 17877498538214624 21115155753796800 22346873172768280 23399867196616000 26393944692246000 26816247807321936 27933591465960350 31848275305608000 33520309759152420 35099800794924000 35191926256328000 35754997076429248 41900387198940525 44693746345536560 52787889384492000 53632495614643872 55867182931920700 67040619518304840 69833978664900875 70199601589848000 83800774397881050 89387492691073120 105575778768984000 107264991229287744 111734365863841400 134081239036609680 139667957329801750 167601548795762100 178774985382146240 209501935994702625 223468731727682800 268162478073219360 279335914659603500 335203097591524200 419003871989405250 446937463455365600 536324956146438720 558671829319207000 670406195183048400 838007743978810500 893874926910731200 1117343658638414000 1340812390366096800 1676015487957621000 2234687317276828000 2681624780732193600 3352030975915242000 4469374634553656000 6704061951830484000 13408123903660968000
- Sum of all divisors σ(n): 44980761808689168384
- Sum of proper divisors (its aliquot sum) s(n): 31572637905028200384
- 13408123903660968000 is an abundant number, because the sum of its proper divisors (31572637905028200384) is greater than itself. Its abundance is 18164514001367232384
Bases of 13408123903660968000
- Binary: 10111010000100110011100110100110101011100010001011001000010000002
- Hexadecimal: 0xBA1339A6AE22C840
- Base-36: 2TV9R8UZNGVUO
Squares and roots of 13408123903660968000
- 13408123903660968000 squared (134081239036609680002) is 179777786615924635089273086697024000000
- 13408123903660968000 cubed (134081239036609680003) is 2410482838072239944250989486842645466932630559232000000000
-
The
square root of 13408123903660968000 is 3661710516.0923040941 -
The
cube root of 13408123903660968000 is 2375687.6400687075
Scales and comparisons
How big is 13408123903660968000?- 13,408,123,903,660,968,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,408,123,903,660,968,000 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 13408123903660968000 cubic inches would be around 197974 feet tall.
Recreational maths with 13408123903660968000
- 13408123903660968000 backwards is 00086906630932180431
- The number of decimal digits it has is: 20
- The sum of 13408123903660968000's digits is 69
- More coming soon!
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The information we have on file for 13408123903660968000 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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