230089124846448000
230,089,124,846,448,000 is an even composite number composed of five prime numbers multiplied together.
230089124846448000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 230089124846448000:
27 × 32 × 53 × 7 × 228263020681
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 228263020681)See below for interesting mathematical facts about the number 230089124846448000 from the Numbermatics database.
Names of 230089124846448000
- Cardinal: 230089124846448000 can be written as Two hundred thirty quadrillion, eighty-nine trillion, one hundred twenty-four billion, eight hundred forty-six million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 2.30089124846448 × 1017
Factors of 230089124846448000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 228263020698
Divisors of 230089124846448000
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 125 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 250 252 280 288 300 315 320 336 350 360 375 384 400 420 448 450 480 500 504 525 560 576 600 630 640 672 700 720 750 800 840 875 896 900 960 1000 1008 1050 1120 1125 1152 1200 1260 1344 1400 1440 1500 1575 1600 1680 1750 1800 1920 2000 2016 2100 2240 2250 2400 2520 2625 2688 2800 2880 3000 3150 3200 3360 3500 3600 4000 4032 4200 4480 4500 4800 5040 5250 5600 5760 6000 6300 6720 7000 7200 7875 8000 8064 8400 9000 9600 10080 10500 11200 12000 12600 13440 14000 14400 15750 16000 16800 18000 20160 21000 22400 24000 25200 28000 28800 31500 33600 36000 40320 42000 48000 50400 56000 63000 67200 72000 84000 100800 112000 126000 144000 168000 201600 252000 336000 504000 1008000 228263020681 456526041362 684789062043 913052082724 1141315103405 1369578124086 1597841144767 1826104165448 2054367186129 2282630206810 2739156248172 3195682289534 3423945310215 3652208330896 4108734372258 4565260413620 4793523434301 5478312496344 5706575517025 6391364579068 6847890620430 7304416661792 7989205723835 8217468744516 9130520827240 9587046868602 10271835930645 10956624992688 11413151034050 12782729158136 13695781240860 14380570302903 14608833323584 15978411447670 16434937489032 17119726551075 18261041654480 19174093737204 20543671861290 21913249985376 22826302068100 23967617171505 25565458316272 27391562481720 28532877585125 28761140605806 29217666647168 31956822895340 32869874978064 34239453102150 36522083308960 38348187474408 39946028619175 41087343722580 43826499970752 45652604136200 47935234343010 51130916632544 51359179653225 54783124963440 57065755170250 57522281211612 63913645790680 65739749956128 68478906204300 71902851514515 73044166617920 76696374948816 79892057238350 82174687445160 85598632755375 87652999941504 91305208272400 95870468686020 102261833265088 102718359306450 109566249926880 114131510340500 115044562423224 119838085857525 127827291581360 131479499912256 136957812408600 143805703029030 146088333235840 153392749897632 159784114476700 164349374890320 171197265510750 182610416544800 191740937372040 199730143095875 204523666530176 205436718612900 219132499853760 228263020681000 230089124846448 239676171715050 255654583162720 256795898266125 262958999824512 273915624817200 287611406058060 306785499795264 319568228953400 328698749780640 342394531021500 359514257572575 365220833089600 383481874744080 399460286191750 410873437225800 438264999707520 456526041362000 460178249692896 479352343430100 511309166325440 513591796532250 547831249634400 575222812116120 599190429287625 613570999590528 639136457906800 657397499561280 684789062043000 719028515145150 730441666179200 766963749488160 798920572383500 821746874451600 913052082724000 920356499385792 958704686860200 1022618332650880 1027183593064500 1095662499268800 1150445624232240 1198380858575250 1278272915813600 1314794999122560 1369578124086000 1438057030290300 1533927498976320 1597841144767000 1643493748903200 1797571287862875 1826104165448000 1840712998771584 1917409373720400 2054367186129000 2191324998537600 2300891248464480 2396761717150500 2556545831627200 2739156248172000 2876114060580600 3067854997952640 3195682289534000 3286987497806400 3595142575725750 3652208330896000 3834818747440800 4108734372258000 4601782496928960 4793523434301000 5113091663254400 5478312496344000 5752228121161200 6391364579068000 6573974995612800 7190285151451500 7669637494881600 8217468744516000 9203564993857920 9587046868602000 10956624992688000 11504456242322400 12782729158136000 14380570302903000 15339274989763200 16434937489032000 19174093737204000 23008912484644800 25565458316272000 28761140605806000 32869874978064000 38348187474408000 46017824969289600 57522281211612000 76696374948816000 115044562423224000 230089124846448000
- Sum of all divisors σ(n): 944351508123915840
- Sum of proper divisors (its aliquot sum) s(n): 714262383277467840
- 230089124846448000 is an abundant number, because the sum of its proper divisors (714262383277467840) is greater than itself. Its abundance is 484173258431019840
Bases of 230089124846448000
- Binary: 11001100010111000011010111000010010010011100101101100000002
- Hexadecimal: 0x33170D709272D80
- Base-36: 1QXJSCQ8F340
Squares and roots of 230089124846448000
- 230089124846448000 squared (2300891248464480002) is 52941005372604334379578216704000000
- 230089124846448000 cubed (2300891248464480003) is 12181149594673633011630428997830749668667392000000000
-
The
square root of 230089124846448000 is 479676062.4071707833 -
The
cube root of 230089124846448000 is 612771.6966231875
Scales and comparisons
How big is 230089124846448000?- 230,089,124,846,448,000 seconds is equal to 7,316,122,457 years, 37 weeks, 4 days, 16 hours.
-
To count from 1 to 230,089,124,846,448,000 would take you about twenty-one billion, nine hundred forty-eight million, three hundred sixty-seven thousand, three hundred seventy-three 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 230089124846448000 cubic inches would be around 51064.3 feet tall.
Recreational maths with 230089124846448000
- 230089124846448000 backwards is 000844648421980032
- 230089124846448000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 230089124846448000's digits is 63
- More coming soon!
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