18214427408150400
18,214,427,408,150,400 is an even composite number composed of five prime numbers multiplied together.
18214427408150400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 18214427408150400:
27 × 3 × 52 × 72 × 38721146701
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 38721146701)See below for interesting mathematical facts about the number 18214427408150400 from the Numbermatics database.
Names of 18214427408150400
- Cardinal: 18214427408150400 can be written as Eighteen quadrillion, two hundred fourteen trillion, four hundred twenty-seven billion, four hundred eight million, one hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.82144274081504 × 1016
Factors of 18214427408150400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 38721146718
Divisors of 18214427408150400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 128 140 147 150 160 168 175 192 196 200 210 224 240 245 280 294 300 320 336 350 384 392 400 420 448 480 490 525 560 588 600 640 672 700 735 784 800 840 896 960 980 1050 1120 1176 1200 1225 1344 1400 1470 1568 1600 1680 1920 1960 2100 2240 2352 2400 2450 2688 2800 2940 3136 3200 3360 3675 3920 4200 4480 4704 4800 4900 5600 5880 6272 6720 7350 7840 8400 9408 9600 9800 11200 11760 13440 14700 15680 16800 18816 19600 22400 23520 29400 31360 33600 39200 47040 58800 67200 78400 94080 117600 156800 235200 470400 38721146701 77442293402 116163440103 154884586804 193605733505 232326880206 271048026907 309769173608 387211467010 464653760412 542096053814 580817200515 619538347216 774422934020 813144080721 929307520824 968028667525 1084192107628 1161634401030 1239076694432 1355240134535 1548845868040 1626288161442 1858615041648 1897336188349 1936057335050 2168384215256 2323268802060 2478153388864 2710480269070 2904086002575 3097691736080 3252576322884 3717230083296 3794672376698 3872114670100 4065720403605 4336768430512 4646537604120 4956306777728 5420960538140 5692008565047 5808172005150 6195383472160 6505152645768 6776200672675 7434460166592 7589344753396 7744229340200 8131440807210 8673536861024 9293075208240 9486680941745 10841921076280 11384017130094 11616344010300 12390766944320 13010305291536 13552401345350 14868920333184 15178689506792 15488458680400 16262881614420 17347073722048 18586150416480 18973361883490 20328602018025 21683842152560 22768034260188 23232688020600 24781533888640 26020610583072 27104802690700 28460042825235 30357379013584 30976917360800 32525763228840 34694147444096 37172300832960 37946723766980 40657204036050 43367684305120 45536068520376 46465376041200 47433404708725 52041221166144 54209605381400 56920085650470 60714758027168 61953834721600 65051526457680 74344601665920 75893447533960 81314408072100 86735368610240 91072137040752 92930752082400 94866809417450 104082442332288 108419210762800 113840171300940 121429516054336 123907669443200 130103052915360 142300214126175 151786895067920 162628816144200 173470737220480 182144274081504 185861504164800 189733618834900 216838421525600 227680342601880 242859032108672 260206105830720 284600428252350 303573790135840 325257632288400 364288548163008 371723008329600 379467237669800 433676843051200 455360685203760 520412211661440 569200856504700 607147580271680 650515264576800 728577096326016 758934475339600 867353686102400 910721370407520 1138401713009400 1214295160543360 1301030529153600 1517868950679200 1821442740815040 2276803426018800 2602061058307200 3035737901358400 3642885481630080 4553606852037600 6071475802716800 9107213704075200 18214427408150400
- Sum of all divisors σ(n): 69788671546882680
- Sum of proper divisors (its aliquot sum) s(n): 51574244138732280
- 18214427408150400 is an abundant number, because the sum of its proper divisors (51574244138732280) is greater than itself. Its abundance is 33359816730581880
Bases of 18214427408150400
- Binary: 10000001011010111101100110110110111001100101111100000002
- Hexadecimal: 0x40B5ECDB732F80
- Base-36: 4ZCH4FO8EIO
Squares and roots of 18214427408150400
- 18214427408150400 squared (182144274081504002) is 331765365806780498228349020160000
- 18214427408150400 cubed (182144274081504003) is 6042916172026066250187675622325792237912064000000
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The
square root of 18214427408150400 is 134960836.5717640327 -
The
cube root of 18214427408150400 is 263110.6986185651
Scales and comparisons
How big is 18214427408150400?- 18,214,427,408,150,400 seconds is equal to 579,162,450 years, 34 weeks, 18 hours, 40 minutes.
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To count from 1 to 18,214,427,408,150,400 would take you about one billion, seven hundred thirty-seven million, four hundred eighty-seven thousand, three hundred fifty-one 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 18214427408150400 cubic inches would be around 21925.9 feet tall.
Recreational maths with 18214427408150400
- 18214427408150400 backwards is 00405180472441281
- The number of decimal digits it has is: 17
- The sum of 18214427408150400's digits is 51
- More coming soon!
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