12820188820518016
12,820,188,820,518,016 is an even composite number composed of five prime numbers multiplied together.
12820188820518016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 12820188820518016:
27 × 72 × 19 × 107 × 1005428041
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 19 × 107 × 1005428041)See below for interesting mathematical facts about the number 12820188820518016 from the Numbermatics database.
Names of 12820188820518016
- Cardinal: 12820188820518016 can be written as Twelve quadrillion, eight hundred twenty trillion, one hundred eighty-eight billion, eight hundred twenty million, five hundred eighteen thousand and sixteen.
Scientific notation
- Scientific notation: 1.2820188820518016 × 1016
Factors of 12820188820518016
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1005428176
Divisors of 12820188820518016
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 107 112 128 133 152 196 214 224 266 304 392 428 448 532 608 749 784 856 896 931 1064 1216 1498 1568 1712 1862 2033 2128 2432 2996 3136 3424 3724 4066 4256 5243 5992 6272 6848 7448 8132 8512 10486 11984 13696 14231 14896 16264 17024 20972 23968 28462 29792 32528 41944 47936 56924 59584 65056 83888 95872 99617 113848 119168 130112 167776 199234 227696 260224 335552 398468 455392 671104 796936 910784 1593872 1821568 3187744 6375488 12750976 1005428041 2010856082 4021712164 7037996287 8043424328 14075992574 16086848656 19103132779 28151985148 32173697312 38206265558 49265974009 56303970296 64347394624 76412531116 98531948018 107580800387 112607940592 128694789248 133721929453 152825062232 197063896036 215161600774 225215881184 267443858906 305650124464 394127792072 430323201548 450431762368 534887717812 611300248928 753065602709 788255584144 860646403096 900863524736 936053506171 1069775435624 1222600497856 1506131205418 1576511168288 1721292806192 1872107012342 2044035207353 2139550871248 2445200995712 3012262410836 3153022336576 3442585612384 3744214024684 4088070414706 4279101742496 5271459218963 6024524821672 6306044673152 6885171224768 7488428049368 8176140829412 8558203484992 10542918437926 12049049643344 13770342449536 14308246451471 14976856098736 16352281658824 17116406969984 21085836875852 24098099286688 28616492902942 29953712197472 32704563317648 42171673751704 48196198573376 57232985805884 59907424394944 65409126635296 84343347503408 96392397146752 100157725160297 114465971611768 119814848789888 130818253270592 168686695006816 200315450320594 228931943223536 261636506541184 337373390013632 400630900641188 457863886447072 674746780027264 801261801282376 915727772894144 1602523602564752 1831455545788288 3205047205129504 6410094410259008 12820188820518016
- Sum of all divisors σ(n): 31566016635415200
- Sum of proper divisors (its aliquot sum) s(n): 18745827814897184
- 12820188820518016 is an abundant number, because the sum of its proper divisors (18745827814897184) is greater than itself. Its abundance is 5925638994379168
Bases of 12820188820518016
- Binary: 1011011000101111100100110100001001100110110100100000002
- Hexadecimal: 0x2D8BE4D099B480
- Base-36: 3I8DLFS9Q4G
Squares and roots of 12820188820518016
- 12820188820518016 squared (128201888205180162) is 164357241393735118263830580576256
- 12820188820518016 cubed (128201888205180163) is 2107090868687143861965155710500382790685709828096
-
The
square root of 12820188820518016 is 113226272.6601826099 -
The
cube root of 12820188820518016 is 234044.3387656189
Scales and comparisons
How big is 12820188820518016?- 12,820,188,820,518,016 seconds is equal to 407,642,349 years, 2 weeks, 2 days, 7 hours, 16 seconds.
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To count from 1 to 12,820,188,820,518,016 would take you about one billion, two hundred twenty-two million, nine hundred twenty-seven thousand and forty-seven 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 12820188820518016 cubic inches would be around 19503.7 feet tall.
Recreational maths with 12820188820518016
- 12820188820518016 backwards is 61081502888102821
- The number of decimal digits it has is: 17
- The sum of 12820188820518016's digits is 61
- More coming soon!
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