542422944
542,422,944 is an even composite number composed of five prime numbers multiplied together.
542422944 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 542422944:
25 × 32 × 73 × 172 × 19
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 17 × 17 × 19)See below for interesting mathematical facts about the number 542422944 from the Numbermatics database.
Names of 542422944
- Cardinal: 542422944 can be written as Five hundred forty-two million, four hundred twenty-two thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 5.42422944 × 108
Factors of 542422944
Divisors of 542422944
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 28 32 34 36 38 42 48 49 51 56 57 63 68 72 76 84 96 98 102 112 114 119 126 133 136 144 147 152 153 168 171 196 204 224 228 238 252 266 272 288 289 294 304 306 323 336 342 343 357 392 399 408 441 456 476 504 532 544 578 588 608 612 646 672 684 686 714 784 798 816 833 867 882 912 931 952 969 1008 1029 1064 1071 1156 1176 1197 1224 1292 1368 1372 1428 1568 1596 1632 1666 1734 1764 1824 1862 1904 1938 2016 2023 2058 2128 2142 2261 2312 2352 2394 2448 2499 2584 2601 2736 2744 2793 2856 2907 3087 3192 3332 3468 3528 3724 3808 3876 4046 4116 4256 4284 4522 4624 4704 4788 4896 4998 5168 5202 5472 5488 5491 5586 5712 5814 5831 6069 6174 6384 6517 6664 6783 6936 7056 7448 7497 7752 8092 8232 8379 8568 9044 9248 9576 9996 10336 10404 10976 10982 11172 11424 11628 11662 12138 12348 12768 13034 13328 13566 13872 14112 14161 14896 14994 15504 15827 16184 16464 16473 16758 17136 17493 18088 18207 19152 19551 19992 20349 20808 21964 22344 23256 23324 24276 24696 26068 26656 27132 27744 28322 29792 29988 31008 31654 32368 32928 32946 33516 34272 34986 36176 36414 38304 38437 39102 39984 40698 41616 42483 43928 44688 46512 46648 47481 48552 49392 49419 52136 52479 54264 56644 58653 59976 63308 64736 65892 67032 69972 72352 72828 76874 78204 79968 81396 83232 84966 87856 89376 93024 93296 94962 97104 98784 98838 99127 104272 104958 108528 110789 113288 115311 117306 119952 126616 127449 131784 134064 139944 142443 145656 153748 156408 162792 169932 175712 186592 189924 194208 197676 198254 208544 209916 217056 221578 226576 230622 234612 239904 253232 254898 263568 268128 269059 279888 284886 291312 297381 307496 312816 325584 332367 339864 345933 379848 395352 396508 419832 443156 453152 461244 469224 506464 509796 527136 538118 559776 569772 582624 594762 614992 625632 651168 664734 679728 691866 759696 790704 793016 807177 839664 886312 892143 922488 938448 997101 1019592 1076236 1139544 1189524 1229984 1329468 1359456 1383732 1519392 1581408 1586032 1614354 1679328 1772624 1784286 1844976 1876896 1883413 1994202 2039184 2152472 2279088 2379048 2421531 2658936 2767464 3172064 3228708 3545248 3568572 3689952 3766826 3988404 4078368 4304944 4558176 4758096 4843062 5317872 5534928 5650239 6457416 7137144 7533652 7976808 8609888 9516192 9686124 10635744 11069856 11300478 12914832 14274288 15067304 15953616 16950717 19372248 22600956 25829664 28548576 30134608 31907232 33901434 38744496 45201912 60269216 67802868 77488992 90403824 135605736 180807648 271211472 542422944
- Sum of all divisors σ(n): 2011464000
- Sum of proper divisors (its aliquot sum) s(n): 1469041056
- 542422944 is an abundant number, because the sum of its proper divisors (1469041056) is greater than itself. Its abundance is 926618112
Bases of 542422944
- Binary: 1000000101010010110111101000002
- Hexadecimal: 0x2054B7A0
- Base-36: 8YY080
Squares and roots of 542422944
- 542422944 squared (5424229442) is 294222650177627136
- 542422944 cubed (5424229443) is 159593116100830634043408384
-
The
square root of 542422944 is 23289.9751824685 -
The
cube root of 542422944 is 815.5414089873
Scales and comparisons
How big is 542422944?- 542,422,944 seconds is equal to 17 years, 12 weeks, 6 days, 1 hour, 2 minutes, 24 seconds.
-
To count from 1 to 542,422,944 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 542422944 cubic inches would be around 68 feet tall.
Recreational maths with 542422944
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