542136672
542,136,672 is an even composite number composed of six prime numbers multiplied together.
542136672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 542136672:
25 × 33 × 7 × 11 × 29 × 281
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 29 × 281)See below for interesting mathematical facts about the number 542136672 from the Numbermatics database.
Names of 542136672
- Cardinal: 542136672 can be written as Five hundred forty-two million, one hundred thirty-six thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 5.42136672 × 108
Factors of 542136672
Divisors of 542136672
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 29 32 33 36 42 44 48 54 56 58 63 66 72 77 84 87 88 96 99 108 112 116 126 132 144 154 168 174 176 189 198 203 216 224 231 232 252 261 264 281 288 297 308 319 336 348 352 378 396 406 432 462 464 504 522 528 562 594 609 616 638 672 693 696 756 783 792 812 843 864 924 928 957 1008 1044 1056 1124 1188 1218 1232 1276 1386 1392 1512 1566 1584 1624 1686 1827 1848 1914 1967 2016 2079 2088 2233 2248 2376 2436 2464 2529 2552 2772 2784 2871 3024 3091 3132 3168 3248 3372 3654 3696 3828 3934 4158 4176 4466 4496 4752 4872 5058 5104 5481 5544 5742 5901 6048 6182 6264 6496 6699 6744 7308 7392 7587 7656 7868 8149 8316 8352 8613 8932 8992 9273 9504 9744 10116 10208 10962 11088 11484 11802 12364 12528 13398 13488 14616 15174 15312 15736 16298 16632 17226 17703 17864 18546 19488 20097 20232 21637 21924 22176 22968 23604 24447 24728 25056 26796 26976 27819 29232 30348 30624 31472 32596 33264 34452 35406 35728 37092 40194 40464 43274 43848 45936 47208 48894 49456 53109 53592 55638 57043 58464 60291 60696 62944 64911 65192 66528 68904 70812 71456 73341 74184 80388 80928 83457 86548 87696 89639 91872 94416 97788 98912 106218 107184 111276 114086 120582 121392 129822 130384 137808 141624 146682 148368 160776 166914 171129 173096 175392 179278 188832 194733 195576 212436 214368 220023 222552 228172 241164 242784 259644 260768 268917 275616 283248 293364 296736 321552 333828 342258 346192 358556 389466 391152 424872 440046 445104 456344 482328 513387 519288 537834 566496 584199 586728 627473 643104 667656 684516 692384 717112 778932 782304 806751 849744 880092 890208 912688 964656 1026774 1038576 1075668 1168398 1173456 1254946 1335312 1369032 1434224 1540161 1557864 1613502 1699488 1760184 1825376 1882419 1929312 2053548 2077152 2151336 2336796 2346912 2420253 2509892 2670624 2738064 2868448 3080322 3115728 3227004 3520368 3764838 4107096 4302672 4673592 4840506 5019784 5476128 5647257 6160644 6231456 6454008 7040736 7529676 8214192 8605344 9347184 9681012 10039568 11294514 12321288 12908016 15059352 16428384 16941771 18694368 19362024 20079136 22589028 24642576 25816032 30118704 33883542 38724048 45178056 49285152 60237408 67767084 77448096 90356112 135534168 180712224 271068336 542136672
- Sum of all divisors σ(n): 2046643200
- Sum of proper divisors (its aliquot sum) s(n): 1504506528
- 542136672 is an abundant number, because the sum of its proper divisors (1504506528) is greater than itself. Its abundance is 962369856
Bases of 542136672
- Binary: 1000000101000001011001011000002
- Hexadecimal: 0x20505960
- Base-36: 8YRVC0
Squares and roots of 542136672
- 542136672 squared (5421366722) is 293912171127235584
- 542136672 cubed (5421366723) is 159340566315213988069736448
-
The
square root of 542136672 is 23283.8285511641 -
The
cube root of 542136672 is 815.3979122587
Scales and comparisons
How big is 542136672?- 542,136,672 seconds is equal to 17 years, 12 weeks, 2 days, 17 hours, 31 minutes, 12 seconds.
-
To count from 1 to 542,136,672 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 542136672 cubic inches would be around 67.9 feet tall.
Recreational maths with 542136672
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