542390016
542,390,016 is an even composite number composed of five prime numbers multiplied together.
542390016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 542390016:
28 × 3 × 73 × 29 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 29 × 71)See below for interesting mathematical facts about the number 542390016 from the Numbermatics database.
Names of 542390016
- Cardinal: 542390016 can be written as Five hundred forty-two million, three hundred ninety thousand and sixteen.
Scientific notation
- Scientific notation: 5.42390016 × 108
Factors of 542390016
Divisors of 542390016
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 64 71 84 87 96 98 112 116 128 142 147 168 174 192 196 203 213 224 232 256 284 294 336 343 348 384 392 406 426 448 464 497 568 588 609 672 686 696 768 784 812 852 896 928 994 1029 1136 1176 1218 1344 1372 1392 1421 1491 1568 1624 1704 1792 1856 1988 2058 2059 2272 2352 2436 2688 2744 2784 2842 2982 3136 3248 3408 3479 3712 3976 4116 4118 4263 4544 4704 4872 5376 5488 5568 5684 5964 6177 6272 6496 6816 6958 7424 7952 8232 8236 8526 9088 9408 9744 9947 10437 10976 11136 11368 11928 12354 12544 12992 13632 13916 14413 15904 16464 16472 17052 18176 18816 19488 19894 20874 21952 22272 22736 23856 24353 24708 25984 27264 27832 28826 29841 31808 32928 32944 34104 37632 38976 39788 41748 43239 43904 45472 47712 48706 49416 51968 54528 55664 57652 59682 63616 65856 65888 68208 73059 77952 79576 83496 86478 87808 90944 95424 97412 98832 100891 111328 115304 119364 127232 131712 131776 136416 146118 155904 159152 166992 172956 181888 190848 194824 197664 201782 222656 230608 238728 263424 263552 272832 292236 302673 318304 333984 345912 363776 381696 389648 395328 403564 445312 461216 477456 527104 545664 584472 605346 636608 667968 691824 706237 779296 790656 807128 890624 922432 954912 1091328 1168944 1210692 1273216 1335936 1383648 1412474 1558592 1581312 1614256 1844864 1909824 2118711 2337888 2421384 2546432 2671872 2767296 2824948 3117184 3228512 3689728 3819648 4237422 4675776 4842768 5534592 5649896 6234368 6457024 7639296 8474844 9351552 9685536 11069184 11299792 12914048 16949688 18703104 19371072 22599584 25828096 33899376 38742144 45199168 67798752 77484288 90398336 135597504 180796672 271195008 542390016
- Sum of all divisors σ(n): 1766016000
- Sum of proper divisors (its aliquot sum) s(n): 1223625984
- 542390016 is an abundant number, because the sum of its proper divisors (1223625984) is greater than itself. Its abundance is 681235968
Bases of 542390016
- Binary: 1000000101010000110111000000002
- Hexadecimal: 0x20543700
- Base-36: 8YXATC
Squares and roots of 542390016
- 542390016 squared (5423900162) is 294186929456480256
- 542390016 cubed (5423900163) is 159564053374891197355524096
-
The
square root of 542390016 is 23289.2682581485 -
The
cube root of 542390016 is 815.5249060651
Scales and comparisons
How big is 542390016?- 542,390,016 seconds is equal to 17 years, 12 weeks, 5 days, 15 hours, 53 minutes, 36 seconds.
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To count from 1 to 542,390,016 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 542390016 cubic inches would be around 68 feet tall.
Recreational maths with 542390016
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