428809534807680000
428,809,534,807,680,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428809534807680000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1320 divisors.
428809534807680000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred twenty divisors.
Prime factorization of 428809534807680000:
210 × 32 × 54 × 13 × 131071 × 43691
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 131071 × 43691)See below for interesting mathematical facts about the number 428809534807680000 from the Numbermatics database.
Names of 428809534807680000
- Cardinal: 428809534807680000 can be written as Four hundred twenty-eight quadrillion, eight hundred nine trillion, five hundred thirty-four billion, eight hundred seven million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 4.2880953480768 × 1017
Factors of 428809534807680000
Divisors of 428809534807680000
- Number of divisors d(n): 1320
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 180 192 195 200 208 225 234 240 250 256 260 288 300 312 320 325 360 375 384 390 400 416 450 468 480 500 512 520 576 585 600 624 625 640 650 720 750 768 780 800 832 900 936 960 975 1000 1024 1040 1125 1152 1170 1200 1248 1250 1280 1300 1440 1500 1536 1560 1600 1625 1664 1800 1872 1875 1920 1950 2000 2080 2250 2304 2340 2400 2496 2500 2560 2600 2880 2925 3000 3072 3120 3200 3250 3328 3600 3744 3750 3840 3900 4000 4160 4500 4608 4680 4800 4875 4992 5000 5120 5200 5625 5760 5850 6000 6240 6400 6500 6656 7200 7488 7500 7680 7800 8000 8125 8320 9000 9216 9360 9600 9750 9984 10000 10400 11250 11520 11700 12000 12480 12800 13000 13312 14400 14625 14976 15000 15360 15600 16000 16250 16640 18000 18720 19200 19500 19968 20000 20800 22500 23040 23400 24000 24375 24960 25600 26000 28800 29250 29952 30000 31200 32000 32500 33280 36000 37440 38400 39000 39936 40000 41600 43691 45000 46080 46800 48000 48750 49920 52000 57600 58500 59904 60000 62400 64000 65000 66560 72000 73125 74880 76800 78000 80000 83200 87382 90000 93600 96000 97500 99840 104000 115200 117000 119808 120000 124800 128000 130000 131071 131073 144000 146250 149760 156000 160000 166400 174764 180000 187200 192000 195000 199680 208000 218455 230400 234000 240000 249600 260000 262142 262146 288000 292500 299520 312000 320000 332800 349528 360000 374400 384000 390000 393213 393219 416000 436910 468000 480000 499200 520000 524284 524292 567983 576000 585000 599040 624000 640000 655355 655365 699056 720000 748800 780000 786426 786438 832000 873820 936000 960000 998400 1040000 1048568 1048584 1092275 1135966 1152000 1170000 1179639 1248000 1310710 1310730 1398112 1440000 1497600 1560000 1572852 1572876 1664000 1703923 1703949 1747640 1872000 1920000 1966065 1966095 2080000 2097136 2097168 2184550 2271932 2340000 2359278 2496000 2621420 2621460 2796224 2839915 2880000 2995200 3120000 3145704 3145752 3276775 3276825 3407846 3407898 3495280 3744000 3932130 3932190 4160000 4194272 4194336 4369100 4543864 4680000 4718556 4992000 5111769 5111847 5242840 5242920 5461375 5592448 5679830 5760000 5898195 6240000 6291408 6291504 6553550 6553650 6815692 6815796 6990560 7488000 7864260 7864380 8320000 8388544 8388672 8519615 8519745 8738200 9087728 9360000 9437112 9830325 9830475 10223538 10223694 10485680 10485840 10922750 11184896 11359660 11796390 12480000 12582816 12583008 13107100 13107300 13631384 13631592 13981120 14199575 14976000 15335307 15728520 15728760 16383875 16384125 16777088 16777344 17039230 17039490 17476400 18175456 18720000 18874224 19660650 19660950 20447076 20447388 20971360 20971680 21845500 22369792 22719320 23592780 24960000 25165632 25166016 25558845 25559235 26214200 26214600 27262768 27263184 27306875 27962240 28399150 29490975 30670614 31457040 31457520 32767750 32768250 33554176 33554688 34078460 34078980 34952800 36350912 37440000 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817883040000 817895520000 824633720784 858993459150 893353197516 916259689760 981459648000 1030792150980 1090510720000 1090527360000 1099511627712 1116691496895 1145324612200 1191137596688 1226824560000 1288490188725 1340029796274 1374389534640 1431655765250 1466015503616 1488921995860 1635766080000 1635791040000 1649267441568 1717986918300 1786706395032 1832519379520 1861152494825 1962919296000 2061584301960 2147483647875 2199023255424 2233382993790 2290649224400 2382275193376 2453649120000 2576980377450 2680059592548 2748779069280 2863311530500 2932031007232 2977843991720 3271532160000 3271582080000 3298534883136 3350074490685 3435973836600 3573412790064 3579139413125 3665038759040 3722304989650 4123168603920 4294967295750 4398046510848 4466765987580 4581298448800 4764550386752 4907298240000 5153960754900 5360119185096 5497558138560 5583457484475 5726623061000 5864062014464 5955687983440 6442450943625 6597069766272 6700148981370 6871947673200 7146825580128 7158278826250 7330077518080 7444609979300 8246337207840 8589934591500 8796093021696 8933531975160 9162596897600 9305762474125 9529100773504 9814596480000 10307921509800 10720238370192 10737418239375 10995116277120 11166914968950 11453246122000 11911375966880 12884901887250 13194139532544 13400297962740 13743895346400 14293651160256 14316557652500 14660155036160 14889219958600 16492674415680 16750372453425 17179869183000 17592186043392 17867063950320 18325193795200 18611524948250 19058201547008 20615843019600 21440476740384 21474836478750 21990232554240 22333829937900 22906492244000 23822751933760 25769803774500 26388279065088 26800595925480 27487790692800 27917287422375 28587302320512 28633115305000 29320310072320 29778439917200 32212254718125 32985348831360 33500744906850 34359738366000 35734127900640 36650387590400 37223049896500 38116403094016 41231686039200 42880953480768 42949672957500 43980465108480 44667659875800 45812984488000 46528812370625 47645503867520 51539607549000 52776558130176 53601191850960 54975581385600 55834574844750 57174604641024 57266230610000 59556879834400 64424509436250 65970697662720 67001489813700 68719476732000 71468255801280 73300775180800 74446099793000 76232806188032 82463372078400 83751862267125 85761906961536 85899345915000 87960930216960 89335319751600 91625968976000 93057624741250 95291007735040 103079215098000 107202383701920 109951162771200 111669149689500 114349209282048 114532461220000 119113759668800 128849018872500 131941395325440 134002979627400 137438953464000 139586437111875 142936511602560 146601550361600 148892199586000 164926744156800 167503724534250 171523813923072 171798691830000 178670639503200 183251937952000 186115249482500 190582015470080 206158430196000 214404767403840 219902325542400 223338299379000 228698418564096 229064922440000 238227519337600 257698037745000 263882790650880 268005959254800 274877906928000 279172874223750 285873023205120 297784399172000 329853488313600 335007449068500 343047627846144 343597383660000 357341279006400 366503875904000 372230498965000 381164030940160 412316860392000 418759311335625 428809534807680 439804651084800 446676598758000 458129844880000 476455038675200 515396075490000 536011918509600 549755813856000 558345748447500 571746046410240 595568798344000 659706976627200 670014898137000 686095255692288 687194767320000 714682558012800 733007751808000 744460997930000 824633720784000 837518622671250 857619069615360 893353197516000 916259689760000 952910077350400 1030792150980000 1072023837019200 1099511627712000 1116691496895000 1143492092820480 1191137596688000 1319413953254400 1340029796274000 1374389534640000 1429365116025600 1488921995860000 1649267441568000 1675037245342500 1715238139230720 1786706395032000 1832519379520000 1905820154700800 2061584301960000 2144047674038400 2199023255424000 2233382993790000 2382275193376000 2680059592548000 2748779069280000 2858730232051200 2977843991720000 3298534883136000 3350074490685000 3430476278461440 3573412790064000 3665038759040000 4123168603920000 4288095348076800 4466765987580000 4764550386752000 5360119185096000 5497558138560000 5717460464102400 5955687983440000 6597069766272000 6700148981370000 7146825580128000 8246337207840000 8576190696153600 8933531975160000 9529100773504000 10720238370192000 10995116277120000 11911375966880000 13400297962740000 14293651160256000 16492674415680000 17152381392307200 17867063950320000 21440476740384000 23822751933760000 26800595925480000 28587302320512000 32985348831360000 35734127900640000 42880953480768000 47645503867520000 53601191850960000 71468255801280000 85761906961536000 107202383701920000 142936511602560000 214404767403840000 428809534807680000
- Sum of all divisors σ(n): 1666295861924069376
- Sum of proper divisors (its aliquot sum) s(n): 1237486327116389376
- 428809534807680000 is an abundant number, because the sum of its proper divisors (1237486327116389376) is greater than itself. Its abundance is 808676792308709376
Bases of 428809534807680000
- Binary: 101111100110110111111111111111111101000001100100100000000002
- Hexadecimal: 0x5F36FFFFE832400
- Base-36: 39A8AKS2EBK0
Squares and roots of 428809534807680000
- 428809534807680000 squared (4288095348076800002) is 183877617141978925494586982400000000
- 428809534807680000 cubed (4288095348076800003) is 78848475468196668692388101988878215544832000000000000
-
The
square root of 428809534807680000 is 654835502.0978016583 -
The
cube root of 428809534807680000 is 754087.0416250703
Scales and comparisons
How big is 428809534807680000?- 428,809,534,807,680,000 seconds is equal to 13,634,816,811 years, 47 weeks, 8 hours.
-
To count from 1 to 428,809,534,807,680,000 would take you about forty billion, nine hundred four million, four hundred fifty thousand, four hundred thirty-five 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 428809534807680000 cubic inches would be around 62840.6 feet tall.
Recreational maths with 428809534807680000
- 428809534807680000 backwards is 000086708435908824
- 428809534807680000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428809534807680000's digits is 72
- More coming soon!
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"Number 428809534807680000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 428809534807680000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/428809534807680000/
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The information we have on file for 428809534807680000 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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