542214400
542,214,400 is an even composite number composed of five prime numbers multiplied together.
542214400 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 542214400:
28 × 52 × 73 × 13 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 13 × 19)See below for interesting mathematical facts about the number 542214400 from the Numbermatics database.
Names of 542214400
- Cardinal: 542214400 can be written as Five hundred forty-two million, two hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 5.422144 × 108
Factors of 542214400
Divisors of 542214400
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 32 35 38 40 49 50 52 56 64 65 70 76 80 91 95 98 100 104 112 128 130 133 140 152 160 175 182 190 196 200 208 224 245 247 256 260 266 280 304 320 325 343 350 364 380 392 400 416 448 455 475 490 494 520 532 560 608 637 640 650 665 686 700 728 760 784 800 832 896 910 931 950 980 988 1040 1064 1120 1216 1225 1235 1274 1280 1300 1330 1372 1400 1456 1520 1568 1600 1664 1715 1729 1792 1820 1862 1900 1960 1976 2080 2128 2240 2275 2432 2450 2470 2548 2600 2660 2744 2800 2912 3040 3136 3185 3200 3325 3328 3430 3458 3640 3724 3800 3920 3952 4160 4256 4459 4480 4550 4655 4864 4900 4940 5096 5200 5320 5488 5600 5824 6080 6175 6272 6370 6400 6517 6650 6860 6916 7280 7448 7600 7840 7904 8320 8512 8575 8645 8918 8960 9100 9310 9800 9880 10192 10400 10640 10976 11200 11648 12103 12160 12350 12544 12740 13034 13300 13720 13832 14560 14896 15200 15680 15808 15925 16640 17024 17150 17290 17836 18200 18620 19600 19760 20384 20800 21280 21952 22295 22400 23275 23296 24206 24320 24700 25480 26068 26600 27440 27664 29120 29792 30400 31360 31616 31850 32585 34048 34300 34580 35672 36400 37240 39200 39520 40768 41600 42560 43225 43904 44590 44800 46550 48412 49400 50960 52136 53200 54880 55328 58240 59584 60515 60800 62720 63232 63700 65170 68600 69160 71344 72800 74480 78400 79040 81536 83200 84721 85120 86450 87808 89180 93100 96824 98800 101920 104272 106400 109760 110656 111475 116480 119168 121030 121600 127400 130340 137200 138320 142688 145600 148960 156800 158080 162925 163072 169442 170240 172900 178360 186200 193648 197600 203840 208544 212800 219520 221312 222950 238336 242060 254800 260680 274400 276640 285376 291200 297920 302575 313600 316160 325850 338884 345800 356720 372400 387296 395200 407680 417088 423605 425600 439040 442624 445900 484120 509600 521360 548800 553280 570752 582400 595840 605150 651700 677768 691600 713440 744800 774592 790400 815360 834176 847210 851200 891800 968240 1019200 1042720 1097600 1106560 1141504 1191680 1210300 1303400 1355536 1383200 1426880 1489600 1549184 1580800 1668352 1694420 1783600 1936480 2038400 2085440 2118025 2195200 2213120 2420600 2606800 2711072 2766400 2853760 2979200 3098368 3388840 3567200 3872960 4076800 4170880 4236050 4841200 5213600 5422144 5532800 5707520 5958400 6777680 7134400 7745920 8341760 8472100 9682400 10427200 10844288 11065600 13555360 14268800 15491840 16944200 19364800 20854400 21688576 27110720 28537600 33888400 38729600 41708800 54221440 67776800 77459200 108442880 135553600 271107200 542214400
- Sum of all divisors σ(n): 1774192000
- Sum of proper divisors (its aliquot sum) s(n): 1231977600
- 542214400 is an abundant number, because the sum of its proper divisors (1231977600) is greater than itself. Its abundance is 689763200
Bases of 542214400
- Binary: 1000000101000110001001000000002
- Hexadecimal: 0x20518900
- Base-36: 8YTJB4
Squares and roots of 542214400
- 542214400 squared (5422144002) is 293996455567360000
- 542214400 cubed (5422144003) is 159409111757582761984000000
-
The
square root of 542214400 is 23285.4976326467 -
The
cube root of 542214400 is 815.4368791979
Scales and comparisons
How big is 542214400?- 542,214,400 seconds is equal to 17 years, 12 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 542,214,400 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 542214400 cubic inches would be around 68 feet tall.
Recreational maths with 542214400
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 542214400 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 542214400 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/542214400/
Chicago style:
Numbermatics. 2024. "Number 542214400 - Facts about the integer". https://numbermatics.com/n/542214400/
The information we have on file for 542214400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 542214400, math, Factors of 542214400, curriculum, school, college, exams, university, Prime factorization of 542214400, STEM, science, technology, engineering, physics, economics, calculator, five hundred forty-two million, two hundred fourteen thousand, four hundred.