542790144
542,790,144 is an even composite number composed of five prime numbers multiplied together.
542790144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 542790144:
29 × 32 × 132 × 17 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 17 × 41)See below for interesting mathematical facts about the number 542790144 from the Numbermatics database.
Names of 542790144
- Cardinal: 542790144 can be written as Five hundred forty-two million, seven hundred ninety thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 5.42790144 × 108
Factors of 542790144
Divisors of 542790144
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 41 48 51 52 64 68 72 78 82 96 102 104 117 123 128 136 144 153 156 164 169 192 204 208 221 234 246 256 272 288 306 312 328 338 369 384 408 416 442 468 492 507 512 533 544 576 612 624 656 663 676 697 738 768 816 832 884 936 984 1014 1066 1088 1152 1224 1248 1312 1326 1352 1394 1476 1521 1536 1599 1632 1664 1768 1872 1968 1989 2028 2091 2132 2176 2304 2448 2496 2624 2652 2704 2788 2873 2952 3042 3198 3264 3328 3536 3744 3936 3978 4056 4182 4264 4352 4608 4797 4896 4992 5248 5304 5408 5576 5746 5904 6084 6273 6396 6528 6656 6929 7072 7488 7872 7956 8112 8364 8528 8619 8704 9061 9594 9792 9984 10496 10608 10816 11152 11492 11808 12168 12546 12792 13056 13858 14144 14976 15744 15912 16224 16728 17056 17238 18122 19188 19584 19968 20787 20992 21216 21632 22304 22984 23616 24336 25092 25584 25857 26112 27183 27716 28288 29952 31488 31824 32448 33456 34112 34476 36244 38376 39168 41574 42432 43264 44608 45968 47232 48672 50184 51168 51714 54366 55432 56576 59904 62361 62976 63648 64896 66912 68224 68952 72488 76752 78336 81549 83148 84864 86528 89216 91936 94464 97344 100368 102336 103428 108732 110864 113152 117793 124722 127296 129792 133824 136448 137904 144976 153504 163098 166296 169728 178432 183872 188928 194688 200736 204672 206856 217464 221728 235586 249444 254592 259584 267648 272896 275808 289952 307008 326196 332592 339456 353379 356864 367744 389376 401472 409344 413712 434928 443456 471172 498888 509184 535296 551616 579904 614016 652392 665184 706758 735488 778752 802944 818688 827424 869856 886912 942344 997776 1018368 1060137 1070592 1103232 1159808 1228032 1304784 1330368 1413516 1470976 1605888 1654848 1739712 1773824 1884688 1995552 2120274 2206464 2319616 2456064 2609568 2660736 2827032 3211776 3309696 3479424 3547648 3769376 3991104 4240548 4412928 4639232 5219136 5321472 5654064 6619392 6958848 7538752 7982208 8481096 10438272 10642944 11308128 13238784 13917696 15077504 15964416 16962192 20876544 22616256 30155008 31928832 33924384 41753088 45232512 60310016 67848768 90465024 135697536 180930048 271395072 542790144
- Sum of all divisors σ(n): 1839890052
- Sum of proper divisors (its aliquot sum) s(n): 1297099908
- 542790144 is an abundant number, because the sum of its proper divisors (1297099908) is greater than itself. Its abundance is 754309764
Bases of 542790144
- Binary: 1000000101101001010010000000002
- Hexadecimal: 0x205A5200
- Base-36: 8Z5VK0
Squares and roots of 542790144
- 542790144 squared (5427901442) is 294621140423540736
- 542790144 cubed (5427901443) is 159917451235937897083305984
-
The
square root of 542790144 is 23297.8570688379 -
The
cube root of 542790144 is 815.7253977967
Scales and comparisons
How big is 542790144?- 542,790,144 seconds is equal to 17 years, 13 weeks, 3 days, 7 hours, 2 minutes, 24 seconds.
-
To count from 1 to 542,790,144 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 542790144 cubic inches would be around 68 feet tall.
Recreational maths with 542790144
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