135483242233891200
135,483,242,233,891,200 is an even composite number composed of six prime numbers multiplied together.
135483242233891200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135483242233891200:
27 × 3 × 52 × 11 × 31 × 41386620917
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 31 × 41386620917)See below for interesting mathematical facts about the number 135483242233891200 from the Numbermatics database.
Names of 135483242233891200
- Cardinal: 135483242233891200 can be written as One hundred thirty-five quadrillion, four hundred eighty-three trillion, two hundred forty-two billion, two hundred thirty-three million, eight hundred ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.354832422338912 × 1017
Factors of 135483242233891200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 41386620969
Divisors of 135483242233891200
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 31 32 33 40 44 48 50 55 60 62 64 66 75 80 88 93 96 100 110 120 124 128 132 150 155 160 165 176 186 192 200 220 240 248 264 275 300 310 320 330 341 352 372 384 400 440 465 480 496 528 550 600 620 640 660 682 704 744 775 800 825 880 930 960 992 1023 1056 1100 1200 1240 1320 1364 1408 1488 1550 1600 1650 1705 1760 1860 1920 1984 2046 2112 2200 2325 2400 2480 2640 2728 2976 3100 3200 3300 3410 3520 3720 3968 4092 4224 4400 4650 4800 4960 5115 5280 5456 5952 6200 6600 6820 7040 7440 8184 8525 8800 9300 9600 9920 10230 10560 10912 11904 12400 13200 13640 14880 16368 17050 17600 18600 19840 20460 21120 21824 24800 25575 26400 27280 29760 32736 34100 35200 37200 40920 43648 49600 51150 52800 54560 59520 65472 68200 74400 81840 99200 102300 105600 109120 130944 136400 148800 163680 204600 218240 272800 297600 327360 409200 545600 654720 818400 1091200 1636800 3273600 41386620917 82773241834 124159862751 165546483668 206933104585 248319725502 331092967336 413866209170 455252830087 496639451004 620799313755 662185934672 827732418340 910505660174 993278902008 1034665522925 1241598627510 1282985248427 1324371869344 1365758490261 1655464836680 1821011320348 1986557804016 2069331045850 2276264150435 2483197255020 2565970496854 2648743738688 2731516980522 3103996568775 3310929673360 3642022640696 3848955745281 3973115608032 4138662091700 4552528300870 4966394510040 5131940993708 5297487477376 5463033961044 6207993137550 6414926242135 6621859346720 6828792451305 7284045281392 7697911490562 7946231216064 8277324183400 9105056601740 9932789020080 10263881987416 10926067922088 11381320752175 12415986275100 12829852484270 13243718693440 13657584902610 14112837732697 14568090562784 15395822981124 15892462432128 16554648366800 18210113203480 19244778726405 19865578040160 20527763974832 21852135844176 22762641504350 24831972550200 25659704968540 26487437386880 27315169805220 28225675465394 29136181125568 30791645962248 32074631210675 33109296733600 34143962256525 36420226406960 38489557452810 39731156080320 41055527949664 42338513198091 43704271688352 45525283008700 49663945100400 51319409937080 54630339610440 56451350930788 58272362251136 61583291924496 64149262421350 66218593467200 68287924513050 70564188663485 72840452813920 76979114905620 79462312160640 82111055899328 84677026396182 87408543376704 91050566017400 96223893632025 99327890200800 102638819874160 109260679220880 112902701861576 123166583848992 128298524842700 132437186934400 136575849026100 141128377326970 145680905627840 153958229811240 164222111798656 169354052792364 174817086753408 182101132034800 192447787264050 198655780401600 205277639748320 211692565990455 218521358441760 225805403723152 246333167697984 256597049685400 273151698052200 282256754653940 291361811255680 307916459622480 338708105584728 352820943317425 364202264069600 384895574528100 397311560803200 410555279496640 423385131980910 437042716883520 451610807446304 492666335395968 513194099370800 546303396104400 564513509307880 615832919244960 677416211169456 705641886634850 728404528139200 769791149056200 821110558993280 846770263961820 874085433767040 903221614892608 1026388198741600 1058462829952275 1092606792208800 1129027018615760 1231665838489920 1354832422338912 1411283773269700 1456809056278400 1539582298112400 1693540527923640 1806443229785216 2052776397483200 2116925659904550 2185213584417600 2258054037231520 2463331676979840 2709664844677824 2822567546539400 3079164596224800 3387081055847280 4105552794966400 4233851319809100 4370427168835200 4516108074463040 5419329689355648 5645135093078800 6158329192449600 6774162111694560 8467702639618200 9032216148926080 11290270186157600 12316658384899200 13548324223389120 16935405279236400 22580540372315200 27096648446778240 33870810558472800 45161080744630400 67741621116945600 135483242233891200
- Sum of all divisors σ(n): 502519662116029440
- Sum of proper divisors (its aliquot sum) s(n): 367036419882138240
- 135483242233891200 is an abundant number, because the sum of its proper divisors (367036419882138240) is greater than itself. Its abundance is 231553177648247040
Bases of 135483242233891200
- Binary: 1111000010101010101001010011111100101111010001001100000002
- Hexadecimal: 0x1E1554A7E5E8980
- Base-36: 1120SU8WEMIO
Squares and roots of 135483242233891200
- 135483242233891200 squared (1354832422338912002) is 18355708926207240157245893437440000
- 135483242233891200 cubed (1354832422338912003) is 2486890958824134447977586283157326091634966528000000
-
The
square root of 135483242233891200 is 368080483.3645641691 -
The
cube root of 135483242233891200 is 513604.1533215949
Scales and comparisons
How big is 135483242233891200?- 135,483,242,233,891,200 seconds is equal to 4,307,948,025 years, 44 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 135,483,242,233,891,200 would take you about twelve billion, nine hundred twenty-three million, eight hundred forty-four thousand and seventy-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 135483242233891200 cubic inches would be around 42800.3 feet tall.
Recreational maths with 135483242233891200
- 135483242233891200 backwards is 002198332242384531
- 135483242233891200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135483242233891200's digits is 60
- More coming soon!
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