413041200
413,041,200 is an even composite number composed of seven prime numbers multiplied together.
413041200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 413041200:
24 × 3 × 52 × 11 × 13 × 29 × 83
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 29 × 83)See below for interesting mathematical facts about the number 413041200 from the Numbermatics database.
Names of 413041200
- Cardinal: 413041200 can be written as Four hundred thirteen million, forty-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.130412 × 108
Factors of 413041200
Divisors of 413041200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 29 30 33 39 40 44 48 50 52 55 58 60 65 66 75 78 80 83 87 88 100 104 110 116 120 130 132 143 145 150 156 165 166 174 176 195 200 208 220 232 240 249 260 264 275 286 290 300 312 319 325 330 332 348 377 390 400 415 429 435 440 464 498 520 528 550 572 580 600 624 638 650 660 664 696 715 725 754 780 825 830 858 870 880 913 957 975 996 1040 1079 1100 1131 1144 1160 1200 1245 1276 1300 1320 1328 1392 1430 1450 1508 1560 1595 1650 1660 1716 1740 1826 1885 1914 1950 1992 2075 2145 2158 2175 2200 2262 2288 2320 2407 2490 2552 2600 2640 2739 2860 2900 3016 3120 3190 3237 3300 3320 3432 3480 3575 3652 3770 3828 3900 3984 4147 4150 4290 4316 4350 4400 4524 4565 4785 4814 4980 5104 5200 5395 5478 5655 5720 5800 6032 6225 6380 6474 6600 6640 6864 6960 7150 7221 7304 7540 7656 7800 7975 8294 8300 8580 8632 8700 9048 9130 9425 9570 9628 9960 10725 10790 10956 11310 11440 11600 11869 12035 12441 12450 12760 12948 13200 13695 14300 14442 14608 15080 15312 15600 15950 16185 16588 16600 17160 17264 17400 18096 18260 18850 19140 19256 19920 20735 21450 21580 21912 22620 22825 23738 23925 24070 24882 24900 25520 25896 26477 26975 27390 28275 28600 28884 30160 31291 31900 32370 33176 33200 34320 34800 35607 36105 36520 37700 38280 38512 41470 42900 43160 43824 45240 45650 47476 47850 48140 49764 49800 51792 52954 53950 54780 56550 57200 57768 59345 60175 62205 62582 63800 64740 66352 68475 71214 72210 73040 75400 76560 79431 80925 82940 85800 86320 90480 91300 93873 94952 95700 96280 99528 99600 103675 105908 107900 109560 113100 115536 118690 120350 124410 125164 127600 129480 132385 136950 142428 144420 150800 156455 158862 161850 165880 171600 178035 180525 182600 187746 189904 191400 192560 199056 207350 211816 215800 219120 226200 237380 240700 248820 250328 258960 264770 273900 284856 288840 296725 311025 312910 317724 323700 331760 344201 356070 361050 365200 375492 382800 397155 414700 423632 431600 452400 469365 474760 481400 497640 500656 529540 547800 569712 577680 593450 622050 625820 635448 647400 661925 688402 712140 722100 750984 782275 794310 829400 890175 938730 949520 962800 995280 1032603 1059080 1095600 1186900 1244100 1251640 1270896 1294800 1323850 1376804 1424280 1444200 1501968 1564550 1588620 1658800 1721005 1780350 1877460 1985775 2065206 2118160 2346825 2373800 2488200 2503280 2647700 2753608 2848560 2888400 3129100 3177240 3442010 3560700 3754920 3971550 4130412 4693650 4747600 4976400 5163015 5295400 5507216 6258200 6354480 6884020 7121400 7509840 7943100 8260824 8605025 9387300 10326030 10590800 12516400 13768040 14242800 15886200 16521648 17210050 18774600 20652060 25815075 27536080 31772400 34420100 37549200 41304120 51630150 68840200 82608240 103260300 137680400 206520600 413041200
- Sum of all divisors σ(n): 1627395840
- Sum of proper divisors (its aliquot sum) s(n): 1214354640
- 413041200 is an abundant number, because the sum of its proper divisors (1214354640) is greater than itself. Its abundance is 801313440
Bases of 413041200
- Binary: 110001001111010000010001100002
- Hexadecimal: 0x189E8230
- Base-36: 6TWWMO
Squares and roots of 413041200
- 413041200 squared (4130412002) is 170603032897440000
- 413041200 cubed (4130412003) is 70466081431598094528000000
-
The
square root of 413041200 is 20323.4150673551 -
The
cube root of 413041200 is 744.7281863533
Scales and comparisons
How big is 413041200?- 413,041,200 seconds is equal to 13 years, 6 weeks, 6 days, 13 hours, 40 minutes.
-
To count from 1 to 413,041,200 would take you about nineteen 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 413041200 cubic inches would be around 62.1 feet tall.
Recreational maths with 413041200
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 413041200 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 413041200 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/413041200/
Chicago style:
Numbermatics. 2024. "Number 413041200 - Facts about the integer". https://numbermatics.com/n/413041200/
The information we have on file for 413041200 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 413041200, math, Factors of 413041200, curriculum, school, college, exams, university, Prime factorization of 413041200, STEM, science, technology, engineering, physics, economics, calculator, four hundred thirteen million, forty-one thousand, two hundred.