12438441022256920800
12,438,441,022,256,920,800 is an even composite number composed of four prime numbers multiplied together.
12438441022256920800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 12438441022256920800:
25 × 34 × 52 × 191951250343471
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 191951250343471)See below for interesting mathematical facts about the number 12438441022256920800 from the Numbermatics database.
Names of 12438441022256920800
- Cardinal: 12438441022256920800 can be written as Twelve quintillion, four hundred thirty-eight quadrillion, four hundred forty-one trillion, twenty-two billion, two hundred fifty-six million, nine hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.24384410222569208 × 1019
Factors of 12438441022256920800
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 191951250343481
Divisors of 12438441022256920800
- Number of divisors d(n): 180
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 200 216 225 240 270 288 300 324 360 400 405 432 450 480 540 600 648 675 720 800 810 864 900 1080 1200 1296 1350 1440 1620 1800 2025 2160 2400 2592 2700 3240 3600 4050 4320 5400 6480 7200 8100 10800 12960 16200 21600 32400 64800 191951250343471 383902500686942 575853751030413 767805001373884 959756251717355 1151707502060826 1535610002747768 1727561253091239 1919512503434710 2303415004121652 2879268755152065 3071220005495536 3455122506182478 3839025006869420 4606830008243304 4798781258586775 5182683759273717 5758537510304130 6142440010991072 6910245012364956 7678050013738840 8637806265456195 9213660016486608 9597562517173550 10365367518547434 11517075020608260 13820490024729912 14396343775760325 15356100027477680 15548051277821151 17275612530912390 18427320032973216 19195125034347100 20730735037094868 23034150041216520 25913418796368585 27640980049459824 28792687551520650 30712200054955360 31096102555642302 34551225061824780 38390250068694200 41461470074189736 43189031327280975 46068300082433040 51826837592737170 55281960098919648 57585375103041300 62192205111284604 69102450123649560 76780500137388400 77740256389105755 82922940148379472 86378062654561950 92136600164866080 103653675185474340 115170750206082600 124384410222569208 129567093981842925 138204900247299120 153561000274776800 155480512778211510 165845880296758944 172756125309123900 207307350370948680 230341500412165200 248768820445138416 259134187963685850 276409800494598240 310961025556423020 345512250618247800 388701281945528775 414614700741897360 460683000824330400 497537640890276832 518268375927371700 621922051112846040 691024501236495600 777402563891057550 829229401483794720 1036536751854743400 1243844102225692080 1382049002472991200 1554805127782115100 2073073503709486800 2487688204451384160 3109610255564230200 4146147007418973600 6219220511128460400 12438441022256920800
- Sum of all divisors σ(n): 45360575822416898736
- Sum of proper divisors (its aliquot sum) s(n): 32922134800159977936
- 12438441022256920800 is an abundant number, because the sum of its proper divisors (32922134800159977936) is greater than itself. Its abundance is 20483693777903057136
Bases of 12438441022256920800
- Binary: 10101100100111100011100000110101010000110100010100111000111000002
- Hexadecimal: 0xAC9E3835434538E0
- Base-36: 2MI1VCP05KE00
Squares and roots of 12438441022256920800
- 12438441022256920800 squared (124384410222569208002) is 154714815064163792920316123497472640000
- 12438441022256920800 cubed (124384410222569208003) is 1924411102444987938045310260727103753400507548646912000000
-
The
square root of 12438441022256920800 is 3526817406.9913118767 -
The
cube root of 12438441022256920800 is 2316978.3928036183
Scales and comparisons
How big is 12438441022256920800?- 12,438,441,022,256,920,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,438,441,022,256,920,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 12438441022256920800 cubic inches would be around 193081.5 feet tall.
Recreational maths with 12438441022256920800
- 12438441022256920800 backwards is 00802965222014483421
- The number of decimal digits it has is: 20
- The sum of 12438441022256920800's digits is 63
- More coming soon!
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