542048416
542,048,416 is an even composite number composed of six prime numbers multiplied together.
542048416 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 542048416:
25 × 7 × 13 × 19 × 97 × 101
(2 × 2 × 2 × 2 × 2 × 7 × 13 × 19 × 97 × 101)See below for interesting mathematical facts about the number 542048416 from the Numbermatics database.
Names of 542048416
- Cardinal: 542048416 can be written as Five hundred forty-two million, forty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 5.42048416 × 108
Factors of 542048416
Divisors of 542048416
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 97 101 104 112 133 152 182 194 202 208 224 247 266 304 364 388 404 416 494 532 608 679 707 728 776 808 988 1064 1261 1313 1358 1414 1456 1552 1616 1729 1843 1919 1976 2128 2522 2626 2716 2828 2912 3104 3232 3458 3686 3838 3952 4256 5044 5252 5432 5656 6916 7372 7676 7904 8827 9191 9797 10088 10504 10864 11312 12901 13433 13832 14744 15352 17654 18382 19594 20176 21008 21728 22624 23959 24947 25802 26866 27664 29488 30704 35308 36764 39188 40352 42016 47918 49894 51604 53732 55328 58976 61408 68579 70616 73528 78376 95836 99788 103208 107464 127361 137158 141232 147056 156752 167713 174629 186143 191672 199576 206416 214928 254722 274316 282464 294112 313504 335426 349258 372286 383344 399152 412832 429856 509444 548632 670852 698516 744572 766688 798304 891527 1018888 1097264 1303001 1341704 1397032 1489144 1783054 2037776 2194528 2419859 2606002 2683408 2794064 2978288 3566108 4075552 4839718 5212004 5366816 5588128 5956576 7132216 9679436 10424008 14264432 16939013 19358872 20848016 28528864 33878026 38717744 41696032 67756052 77435488 135512104 271024208 542048416
- Sum of all divisors σ(n): 1410635520
- Sum of proper divisors (its aliquot sum) s(n): 868587104
- 542048416 is an abundant number, because the sum of its proper divisors (868587104) is greater than itself. Its abundance is 326538688
Bases of 542048416
- Binary: 1000000100111100000000101000002
- Hexadecimal: 0x204F00A0
- Base-36: 8YPZ8G
Squares and roots of 542048416
- 542048416 squared (5420484162) is 293816485288109056
- 542048416 cubed (5420484163) is 159262760445106817440055296
-
The
square root of 542048416 is 23281.9332530613 -
The
cube root of 542048416 is 815.3536628609
Scales and comparisons
How big is 542048416?- 542,048,416 seconds is equal to 17 years, 12 weeks, 1 day, 17 hours, 16 seconds.
-
To count from 1 to 542,048,416 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 542048416 cubic inches would be around 67.9 feet tall.
Recreational maths with 542048416
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