542424168
542,424,168 is an even composite number composed of six prime numbers multiplied together.
542424168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 542424168:
23 × 33 × 11 × 13 × 17 × 1033
(2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 17 × 1033)See below for interesting mathematical facts about the number 542424168 from the Numbermatics database.
Names of 542424168
- Cardinal: 542424168 can be written as Five hundred forty-two million, four hundred twenty-four thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 5.42424168 × 108
Factors of 542424168
Divisors of 542424168
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 17 18 22 24 26 27 33 34 36 39 44 51 52 54 66 68 72 78 88 99 102 104 108 117 132 136 143 153 156 187 198 204 216 221 234 264 286 297 306 312 351 374 396 408 429 442 459 468 561 572 594 612 663 702 748 792 858 884 918 936 1033 1122 1144 1188 1224 1287 1326 1404 1496 1683 1716 1768 1836 1989 2066 2244 2376 2431 2574 2652 2808 3099 3366 3432 3672 3861 3978 4132 4488 4862 5049 5148 5304 5967 6198 6732 7293 7722 7956 8264 9297 9724 10098 10296 11363 11934 12396 13429 13464 14586 15444 15912 17561 18594 19448 20196 21879 22726 23868 24792 26858 27891 29172 30888 34089 35122 37188 40287 40392 43758 45452 47736 52683 53716 55782 58344 65637 68178 70244 74376 80574 87516 90904 102267 105366 107432 111564 120861 131274 136356 140488 147719 158049 161148 175032 193171 204534 210732 223128 228293 241722 262548 272712 295438 306801 316098 322296 362583 386342 409068 421464 443157 456586 474147 483444 525096 579513 590876 613602 632196 684879 725166 772684 818136 886314 913172 948294 966888 1159026 1181752 1227204 1264392 1329471 1369758 1450332 1545368 1738539 1772628 1826344 1896588 2054637 2318052 2454408 2511223 2658942 2739516 2900664 3477078 3545256 3793176 3988413 4109274 4636104 5022446 5215617 5317884 5479032 6163911 6954156 7533669 7976826 8218548 10044892 10431234 10635768 12327822 13908312 15067338 15953652 16437096 20089784 20862468 22601007 24655644 30134676 31907304 41724936 45202014 49311288 60269352 67803021 90404028 135606042 180808056 271212084 542424168
- Sum of all divisors σ(n): 1876089600
- Sum of proper divisors (its aliquot sum) s(n): 1333665432
- 542424168 is an abundant number, because the sum of its proper divisors (1333665432) is greater than itself. Its abundance is 791241264
Bases of 542424168
- Binary: 1000000101010010111100011010002
- Hexadecimal: 0x2054BC68
- Base-36: 8YY160
Squares and roots of 542424168
- 542424168 squared (5424241682) is 294223978030492224
- 542424168 cubed (5424241683) is 159594196488840023233669632
-
The
square root of 542424168 is 23290.0014598539 -
The
cube root of 542424168 is 815.5420224213
Scales and comparisons
How big is 542424168?- 542,424,168 seconds is equal to 17 years, 12 weeks, 6 days, 1 hour, 22 minutes, 48 seconds.
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To count from 1 to 542,424,168 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 542424168 cubic inches would be around 68 feet tall.
Recreational maths with 542424168
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