42144646023200
42,144,646,023,200 is an even composite number composed of four prime numbers multiplied together.
42144646023200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-two divisors.
Prime factorization of 42144646023200:
25 × 52 × 72 × 327892
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 32789 × 32789)See below for interesting mathematical facts about the number 42144646023200 from the Numbermatics database.
Names of 42144646023200
- Cardinal: 42144646023200 can be written as Forty-two trillion, one hundred forty-four billion, six hundred forty-six million, twenty-three thousand, two hundred.
Scientific notation
- Scientific notation: 4.21446460232 × 1013
Factors of 42144646023200
Divisors of 42144646023200
- Number of divisors d(n): 162
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 140 160 175 196 200 224 245 280 350 392 400 490 560 700 784 800 980 1120 1225 1400 1568 1960 2450 2800 3920 4900 5600 7840 9800 19600 32789 39200 65578 131156 163945 229523 262312 327890 459046 524624 655780 819725 918092 1049248 1147615 1311560 1606661 1639450 1836184 2295230 2623120 3213322 3278900 3672368 4590460 5246240 5738075 6426644 6557800 7344736 8033305 9180920 11476150 12853288 13115600 16066610 18361840 22952300 25706576 26231200 32133220 36723680 40166525 45904600 51413152 64266440 80333050 91809200 128532880 160666100 183618400 257065760 321332200 642664400 1075118521 1285328800 2150237042 4300474084 5375592605 7525829647 8600948168 10751185210 15051659294 17201896336 21502370420 26877963025 30103318588 34403792672 37629148235 43004740840 52680807529 53755926050 60206637176 75258296470 86009481680 105361615058 107511852100 120413274352 150516592940 172018963360 188145741175 210723230116 215023704200 240826548704 263404037645 301033185880 376291482350 421446460232 430047408400 526808075290 602066371760 752582964700 842892920464 860094816800 1053616150580 1204132743520 1317020188225 1505165929400 1685785840928 2107232301160 2634040376450 3010331858800 4214464602320 5268080752900 6020663717600 8428929204640 10536161505800 21072323011600 42144646023200
- Sum of all divisors σ(n): 119686919091831
- Sum of proper divisors (its aliquot sum) s(n): 77542273068631
- 42144646023200 is an abundant number, because the sum of its proper divisors (77542273068631) is greater than itself. Its abundance is 35397627045431
Bases of 42144646023200
- Binary: 10011001010100100100001010011111001000001000002
- Hexadecimal: 0x265490A7C820
- Base-36: EXSZE3L7K
Squares and roots of 42144646023200
- 42144646023200 squared (421446460232002) is 1776171188420827574938240000
- 42144646023200 cubed (421446460232003) is 74856106012602248744173796401607168000000
-
The
square root of 42144646023200 is 6491890.7895311979 -
The
cube root of 42144646023200 is 34800.1249674025
Scales and comparisons
How big is 42144646023200?- 42,144,646,023,200 seconds is equal to 1,340,069 years, 19 weeks, 5 days, 21 hours, 33 minutes, 20 seconds.
-
To count from 1 to 42,144,646,023,200 would take you about three million, three hundred fifty thousand, one 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 42144646023200 cubic inches would be around 2900 feet tall.
Recreational maths with 42144646023200
- 42144646023200 backwards is 00232064644124
- The number of decimal digits it has is: 14
- The sum of 42144646023200's digits is 38
- More coming soon!
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