542483136
542,483,136 is an even composite number composed of six prime numbers multiplied together.
542483136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 542483136:
26 × 33 × 13 × 19 × 31 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 19 × 31 × 41)See below for interesting mathematical facts about the number 542483136 from the Numbermatics database.
Names of 542483136
- Cardinal: 542483136 can be written as Five hundred forty-two million, four hundred eighty-three thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 5.42483136 × 108
Factors of 542483136
Divisors of 542483136
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 31 32 36 38 39 41 48 52 54 57 62 64 72 76 78 82 93 96 104 108 114 117 123 124 144 152 156 164 171 186 192 208 216 228 234 246 247 248 279 288 304 312 328 342 351 369 372 403 416 432 456 468 492 494 496 513 533 558 576 589 608 624 656 684 702 738 741 744 779 806 832 837 864 912 936 984 988 992 1026 1066 1107 1116 1178 1209 1216 1248 1271 1312 1368 1404 1476 1482 1488 1558 1599 1612 1674 1728 1767 1824 1872 1968 1976 1984 2052 2132 2214 2223 2232 2337 2356 2418 2496 2542 2624 2736 2808 2952 2964 2976 3116 3198 3224 3348 3534 3627 3648 3744 3813 3936 3952 4104 4264 4428 4446 4464 4674 4712 4797 4836 5084 5301 5472 5616 5904 5928 5952 6232 6396 6448 6669 6696 7011 7068 7254 7488 7626 7657 7872 7904 8208 8528 8856 8892 8928 9348 9424 9594 9672 10127 10168 10602 10881 10944 11232 11439 11808 11856 12464 12792 12896 13338 13392 14022 14136 14391 14508 15252 15314 15808 15903 16416 16523 17056 17712 17784 17856 18696 18848 19188 19344 20254 20336 21033 21204 21762 22464 22878 22971 23616 23712 24149 24928 25584 25792 26676 26784 28044 28272 28782 29016 30381 30504 30628 31806 32832 33046 34112 34317 35424 35568 37392 37696 38376 38688 40508 40672 42066 42408 43524 45756 45942 47424 48298 49569 49856 51168 53352 53568 56088 56544 57564 58032 60762 61008 61256 63612 66092 68634 68913 70848 71136 72447 74784 76752 77376 81016 81344 84132 84816 87048 91143 91512 91884 96596 99138 102336 106704 112176 113088 115128 116064 121524 122016 122512 127224 132184 137268 137826 142272 144894 148707 149568 153504 162032 168264 169632 174096 182286 183024 183768 193192 198276 206739 213408 217341 224352 230256 232128 243048 244032 245024 254448 264368 273429 274536 275652 289788 297414 307008 313937 324064 336528 339264 348192 364572 366048 367536 386384 396552 413478 426816 434682 446121 448704 460512 486096 490048 508896 528736 546858 549072 551304 579576 594828 627874 648128 652023 673056 696384 729144 732096 735072 772768 793104 826956 869364 892242 921024 941811 972192 1017792 1057472 1093716 1098144 1102608 1159152 1189656 1255748 1304046 1346112 1458288 1470144 1545536 1586208 1653912 1738728 1784484 1883622 1944384 2187432 2196288 2205216 2318304 2379312 2511496 2608092 2825433 2916576 3172416 3307824 3477456 3568968 3767244 4374864 4410432 4636608 4758624 5022992 5216184 5650866 5833152 6615648 6954912 7137936 7534488 8476299 8749728 9517248 10045984 10432368 11301732 13231296 13909824 14275872 15068976 16952598 17499456 20091968 20864736 22603464 28551744 30137952 33905196 41729472 45206928 60275904 67810392 90413856 135620784 180827712 271241568 542483136
- Sum of all divisors σ(n): 1911705600
- Sum of proper divisors (its aliquot sum) s(n): 1369222464
- 542483136 is an abundant number, because the sum of its proper divisors (1369222464) is greater than itself. Its abundance is 826739328
Bases of 542483136
- Binary: 1000000101010110100010110000002
- Hexadecimal: 0x2055A2C0
- Base-36: 8YZAO0
Squares and roots of 542483136
- 542483136 squared (5424831362) is 294287952844394496
- 542483136 cubed (5424831363) is 159646251546047246211219456
-
The
square root of 542483136 is 23291.2673764225 -
The
cube root of 542483136 is 815.5715744105
Scales and comparisons
How big is 542483136?- 542,483,136 seconds is equal to 17 years, 12 weeks, 6 days, 17 hours, 45 minutes, 36 seconds.
-
To count from 1 to 542,483,136 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 542483136 cubic inches would be around 68 feet tall.
Recreational maths with 542483136
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