542331552
542,331,552 is an even composite number composed of six prime numbers multiplied together.
What does the number 542331552 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
542331552 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 542331552:
25 × 3 × 7 × 17 × 29 × 1637
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 29 × 1637)See below for interesting mathematical facts about the number 542331552 from the Numbermatics database.
Names of 542331552
- Cardinal: 542331552 can be written as Five hundred forty-two million, three hundred thirty-one thousand, five hundred fifty-two.
Scientific notation
- Scientific notation: 5.42331552 × 108
Factors of 542331552
Divisors of 542331552
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 32 34 42 48 51 56 58 68 84 87 96 102 112 116 119 136 168 174 203 204 224 232 238 272 336 348 357 406 408 464 476 493 544 609 672 696 714 812 816 928 952 986 1218 1392 1428 1479 1624 1632 1637 1904 1972 2436 2784 2856 2958 3248 3274 3451 3808 3944 4872 4911 5712 5916 6496 6548 6902 7888 9744 9822 10353 11424 11459 11832 13096 13804 15776 19488 19644 20706 22918 23664 26192 27608 27829 34377 39288 41412 45836 47328 47473 52384 55216 55658 68754 78576 82824 83487 91672 94946 110432 111316 137508 142419 157152 165648 166974 183344 189892 194803 222632 275016 284838 331296 332311 333948 366688 379784 389606 445264 550032 569676 584409 664622 667896 759568 779212 807041 890528 996933 1100064 1139352 1168818 1329244 1335792 1519136 1558424 1614082 1993866 2278704 2337636 2421123 2658488 2671584 3116848 3228164 3987732 4557408 4675272 4842246 5316976 5649287 6233696 6456328 7975464 9350544 9684492 10633952 11298574 12912656 15950928 16947861 18701088 19368984 22597148 25825312 31901856 33895722 38737968 45194296 67791444 77475936 90388592 135582888 180777184 271165776 542331552
- Sum of all divisors σ(n): 1783192320
- Sum of proper divisors (its aliquot sum) s(n): 1240860768
- 542331552 is an abundant number, because the sum of its proper divisors (1240860768) is greater than itself. Its abundance is 698529216
Bases of 542331552
- Binary: 1000000101001101010010101000002
- Hexadecimal: 0x205352A0
- Base-36: 8YW1PC
Squares and roots of 542331552
- 542331552 squared (5423315522) is 294123512294728704
- 542331552 cubed (5423315523) is 159512460902491299459268608
-
The
square root of 542331552 is 23288.0130539297 -
The
cube root of 542331552 is 815.4956033125
Scales and comparisons
How big is 542331552?- 542,331,552 seconds is equal to 17 years, 12 weeks, 4 days, 23 hours, 39 minutes, 12 seconds.
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To count from 1 to 542,331,552 would take you about twenty-five 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 542331552 cubic inches would be around 68 feet tall.
Recreational maths with 542331552
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