542387664
542,387,664 is an even composite number composed of five prime numbers multiplied together.
542387664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 542387664:
24 × 36 × 72 × 13 × 73
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 73)See below for interesting mathematical facts about the number 542387664 from the Numbermatics database.
Names of 542387664
- Cardinal: 542387664 can be written as Five hundred forty-two million, three hundred eighty-seven thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 5.42387664 × 108
Factors of 542387664
Divisors of 542387664
- Number of divisors d(n): 420
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 49 52 54 56 63 72 73 78 81 84 91 98 104 108 112 117 126 144 146 147 156 162 168 182 189 196 208 216 219 234 243 252 273 292 294 312 324 336 351 364 378 392 432 438 441 468 486 504 511 546 567 584 588 624 637 648 657 702 728 729 756 784 819 876 882 936 949 972 1008 1022 1053 1092 1134 1168 1176 1274 1296 1314 1323 1404 1456 1458 1512 1533 1638 1701 1752 1764 1872 1898 1911 1944 1971 2044 2106 2184 2268 2352 2457 2548 2628 2646 2808 2847 2916 3024 3066 3159 3276 3402 3504 3528 3577 3796 3822 3888 3942 3969 4088 4212 4368 4536 4599 4914 5096 5103 5256 5292 5616 5694 5733 5832 5913 6132 6318 6552 6643 6804 7056 7154 7371 7592 7644 7884 7938 8176 8424 8541 9072 9198 9477 9828 10192 10206 10512 10584 10731 11388 11466 11664 11826 11907 12264 12636 13104 13286 13608 13797 14308 14742 15184 15288 15768 15876 16848 17082 17199 17739 18396 18954 19656 19929 20412 21168 21462 22113 22776 22932 23652 23814 24528 25272 25623 26572 27216 27594 28616 29484 30576 31536 31752 32193 34164 34398 35478 35721 36792 37908 39312 39858 40824 41391 42924 44226 45552 45864 46501 47304 47628 50544 51246 51597 53144 53217 55188 57232 58968 59787 63504 64386 66339 68328 68796 70956 71442 73584 75816 76869 79716 81648 82782 85848 88452 91728 93002 94608 95256 96579 102492 103194 106288 106434 110376 117936 119574 124173 128772 132678 136656 137592 139503 141912 142884 151632 153738 154791 159432 165564 171696 176904 179361 186004 190512 193158 204984 206388 212868 220752 230607 239148 248346 257544 265356 275184 279006 283824 285768 289737 307476 309582 318864 331128 353808 358722 372008 372519 386316 409968 412776 418509 425736 461214 464373 478296 496692 515088 530712 538083 558012 571536 579474 614952 619164 662256 691821 717444 744016 745038 772632 825552 837018 851472 869211 922428 928746 956592 993384 1061424 1076166 1116024 1158948 1229904 1238328 1255527 1383642 1434888 1490076 1545264 1614249 1674036 1738422 1844856 1857492 1986768 2152332 2232048 2317896 2476656 2511054 2607633 2767284 2869776 2980152 3228498 3348072 3476844 3689712 3714984 3766581 4304664 4635792 4842747 5022108 5215266 5534568 5960304 6456996 6696144 6953688 7429968 7533162 8609328 9685494 10044216 10430532 11069136 11299743 12913992 13907376 15066324 19370988 20088432 20861064 22599486 25827984 30132648 33899229 38741976 41722128 45198972 60265296 67798458 77483952 90397944 135596916 180795888 271193832 542387664
- Sum of all divisors σ(n): 2000858916
- Sum of proper divisors (its aliquot sum) s(n): 1458471252
- 542387664 is an abundant number, because the sum of its proper divisors (1458471252) is greater than itself. Its abundance is 916083588
Bases of 542387664
- Binary: 1000000101010000101101110100002
- Hexadecimal: 0x20542DD0
- Base-36: 8YX900
Squares and roots of 542387664
- 542387664 squared (5423876642) is 294184378059376896
- 542387664 cubed (5423876643) is 159561977600918287917010944
-
The
square root of 542387664 is 23289.2177627331 -
The
cube root of 542387664 is 815.5237272595
Scales and comparisons
How big is 542387664?- 542,387,664 seconds is equal to 17 years, 12 weeks, 5 days, 15 hours, 14 minutes, 24 seconds.
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To count from 1 to 542,387,664 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 542387664 cubic inches would be around 68 feet tall.
Recreational maths with 542387664
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