428805478951200
428,805,478,951,200 is an even composite number composed of five prime numbers multiplied together.
428805478951200 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 428805478951200:
25 × 33 × 52 × 13 × 1527085039
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 1527085039)See below for interesting mathematical facts about the number 428805478951200 from the Numbermatics database.
Names of 428805478951200
- Cardinal: 428805478951200 can be written as Four hundred twenty-eight trillion, eight hundred five billion, four hundred seventy-eight million, nine hundred fifty-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.288054789512 × 1014
Factors of 428805478951200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1527085062
Divisors of 428805478951200
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 65 72 75 78 80 90 96 100 104 108 117 120 130 135 144 150 156 160 180 195 200 208 216 225 234 240 260 270 288 300 312 325 351 360 390 400 416 432 450 468 480 520 540 585 600 624 650 675 702 720 780 800 864 900 936 975 1040 1080 1170 1200 1248 1300 1350 1404 1440 1560 1755 1800 1872 1950 2080 2160 2340 2400 2600 2700 2808 2925 3120 3510 3600 3744 3900 4320 4680 5200 5400 5616 5850 6240 7020 7200 7800 8775 9360 10400 10800 11232 11700 14040 15600 17550 18720 21600 23400 28080 31200 35100 46800 56160 70200 93600 140400 280800 1527085039 3054170078 4581255117 6108340156 7635425195 9162510234 12216680312 13743765351 15270850390 18325020468 19852105507 22906275585 24433360624 27487530702 30541700780 36650040936 38177125975 39704211014 41231296053 45812551170 48866721248 54975061404 59556316521 61083401560 68718826755 73300081872 76354251950 79408422028 82462592106 91625102340 99260527535 109950122808 114531377925 119112633042 122166803120 137437653510 146600163744 152708503900 158816844056 164925184212 178668949563 183250204680 198521055070 206156480265 219900245616 229062755850 238225266084 244333606240 274875307020 297781582605 305417007800 317633688112 329850368424 343594133775 357337899126 366500409360 397042110140 412312960530 439800491232 458125511700 476450532168 496302637675 536006848689 549750614040 595563165210 610834015600 635267376224 659700736848 687188267550 714675798252 733000818720 794084220280 824625921060 893344747815 916251023400 952901064336 992605275350 1030782401325 1072013697378 1099501228080 1191126330420 1221668031200 1319401473696 1374376535100 1429351596504 1488907913025 1588168440560 1649251842120 1786689495630 1832502046800 1905802128672 1985210550700 2061564802650 2144027394756 2199002456160 2382252660840 2680034243445 2748753070200 2858703193008 2977815826050 3176336881120 3298503684240 3573378991260 3665004093600 3970421101400 4123129605300 4288054789512 4466723739075 4764505321680 5360068486890 5497506140400 5717406386016 5955631652100 6597007368480 7146757982520 7940842202800 8246259210600 8576109579024 8933447478150 9529010643360 10720136973780 10995012280800 11911263304200 13400171217225 14293515965040 15881684405600 16492518421200 17152219158048 17866894956300 21440273947560 23822526608400 26800342434450 28587031930080 32985036842400 35733789912600 42880547895120 47645053216800 53600684868900 71467579825200 85761095790240 107201369737800 142935159650400 214402739475600 428805478951200
- Sum of all divisors σ(n): 1670142366547200
- Sum of proper divisors (its aliquot sum) s(n): 1241336887596000
- 428805478951200 is an abundant number, because the sum of its proper divisors (1241336887596000) is greater than itself. Its abundance is 812531408644800
Bases of 428805478951200
- Binary: 11000010111111111000011100100000000101001001000002
- Hexadecimal: 0x185FF0E402920
- Base-36: 47ZYIMQKO0
Squares and roots of 428805478951200
- 428805478951200 squared (4288054789512002) is 183874138778568026251981440000
- 428805478951200 cubed (4288054789512003) is 78846238145683279458671356397213065728000000
-
The
square root of 428805478951200 is 20707618.8624187305 -
The
cube root of 428805478951200 is 75408.4664129385
Scales and comparisons
How big is 428805478951200?- 428,805,478,951,200 seconds is equal to 13,634,687 years, 44 weeks, 18 hours.
-
To count from 1 to 428,805,478,951,200 would take you about thirty-four million, eighty-six thousand, seven hundred nineteen 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 428805478951200 cubic inches would be around 6284 feet tall.
Recreational maths with 428805478951200
- 428805478951200 backwards is 002159874508824
- The number of decimal digits it has is: 15
- The sum of 428805478951200's digits is 63
- More coming soon!
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