42401442225512448
42,401,442,225,512,448 is an even composite number composed of four prime numbers multiplied together.
What does the number 42401442225512448 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 168 divisors.
42401442225512448 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 42401442225512448:
213 × 32 × 13 × 44238951307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 44238951307)See below for interesting mathematical facts about the number 42401442225512448 from the Numbermatics database.
Names of 42401442225512448
- Cardinal: 42401442225512448 can be written as Forty-two quadrillion, four hundred one trillion, four hundred forty-two billion, two hundred twenty-five million, five hundred twelve thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 4.2401442225512448 × 1016
Factors of 42401442225512448
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 44238951325
Divisors of 42401442225512448
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4096 4608 4992 6144 6656 7488 8192 9216 9984 12288 13312 14976 18432 19968 24576 26624 29952 36864 39936 53248 59904 73728 79872 106496 119808 159744 239616 319488 479232 958464 44238951307 88477902614 132716853921 176955805228 265433707842 353911610456 398150561763 530867415684 575106366991 707823220912 796301123526 1061734831368 1150212733982 1415646441824 1592602247052 1725319100973 2123469662736 2300425467964 2831292883648 3185204494104 3450638201946 4246939325472 4600850935928 5175957302919 5662585767296 6370408988208 6901276403892 8493878650944 9201701871856 10351914605838 11325171534592 12740817976416 13802552807784 16987757301888 18403403743712 20703829211676 22650343069184 25481635952832 27605105615568 33975514603776 36806807487424 41407658423352 45300686138368 50963271905664 55210211231136 67951029207552 73613614974848 82815316846704 90601372276736 101926543811328 110420422462272 135902058415104 147227229949696 165630633693408 181202744553472 203853087622656 220840844924544 271804116830208 294454459899392 331261267386816 362405489106944 407706175245312 441681689849088 543608233660416 588908919798784 662522534773632 815412350490624 883363379698176 1087216467320832 1177817839597568 1325045069547264 1630824700981248 1766726759396352 2355635679195136 2650090139094528 3261649401962496 3533453518792704 4711271358390272 5300180278189056 7066907037585408 10600360556378112 14133814075170816 21200721112756224 42401442225512448
- Sum of all divisors σ(n): 131907546548771448
- Sum of proper divisors (its aliquot sum) s(n): 89506104323259000
- 42401442225512448 is an abundant number, because the sum of its proper divisors (89506104323259000) is greater than itself. Its abundance is 47104662097746552
Bases of 42401442225512448
- Binary: 100101101010001111100011000101011101000011100000000000002
- Hexadecimal: 0x96A3E315D0E000
- Base-36: BLI21NC9VK0
Squares and roots of 42401442225512448
- 42401442225512448 squared (424014422255124482) is 1797882302803470019155896202952704
- 42401442225512448 cubed (424014422255124483) is 76232802590592610737065408721972353760937107259392
-
The
square root of 42401442225512448 is 205916104.8230867445 -
The
cube root of 42401442225512448 is 348706.6338866713
Scales and comparisons
How big is 42401442225512448?- 42,401,442,225,512,448 seconds is equal to 1,348,234,706 years, 25 weeks, 6 days, 15 hours, 40 minutes, 48 seconds.
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To count from 1 to 42,401,442,225,512,448 would take you about four billion, forty-four million, seven hundred four thousand, one hundred nineteen 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 42401442225512448 cubic inches would be around 29058.9 feet tall.
Recreational maths with 42401442225512448
- 42401442225512448 backwards is 84421552224410424
- The number of decimal digits it has is: 17
- The sum of 42401442225512448's digits is 54
- More coming soon!
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