130305120
130,305,120 is an even composite number composed of seven prime numbers multiplied together.
130305120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 130305120:
25 × 3 × 5 × 11 × 23 × 29 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 23 × 29 × 37)See below for interesting mathematical facts about the number 130305120 from the Numbermatics database.
Names of 130305120
- Cardinal: 130305120 can be written as One hundred thirty million, three hundred five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3030512 × 108
Factors of 130305120
Divisors of 130305120
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 29 30 32 33 37 40 44 46 48 55 58 60 66 69 74 80 87 88 92 96 110 111 115 116 120 132 138 145 148 160 165 174 176 184 185 220 222 230 232 240 253 264 276 290 296 319 330 345 348 352 368 370 407 435 440 444 460 464 480 506 528 552 555 580 592 638 660 667 690 696 736 740 759 814 851 870 880 888 920 928 957 1012 1056 1073 1104 1110 1160 1184 1221 1265 1276 1320 1334 1380 1392 1480 1518 1595 1628 1702 1740 1760 1776 1840 1914 2001 2024 2035 2146 2208 2220 2320 2442 2530 2552 2553 2640 2668 2760 2784 2960 3036 3190 3219 3256 3335 3404 3480 3552 3680 3795 3828 4002 4048 4070 4255 4292 4440 4640 4785 4884 5060 5104 5106 5280 5336 5365 5520 5920 6072 6105 6380 6438 6512 6670 6808 6960 7337 7590 7656 8004 8096 8140 8510 8584 8880 9361 9570 9768 10005 10120 10208 10212 10672 10730 11040 11803 12144 12210 12760 12765 12876 13024 13340 13616 13920 14674 15180 15312 16008 16095 16280 17020 17168 17760 18722 19140 19536 20010 20240 20424 21344 21460 22011 23606 24288 24420 24679 25520 25530 25752 26680 27232 28083 29348 30360 30624 32016 32190 32560 34040 34336 35409 36685 37444 38280 39072 40020 40480 40848 42920 44022 46805 47212 48840 49358 51040 51060 51504 53360 56166 58696 59015 60720 64032 64380 65120 68080 70818 73370 74037 74888 76560 80040 81696 85840 88044 93610 94424 97680 98716 102120 103008 106720 110055 112332 117392 118030 121440 123395 128760 136160 140415 141636 146740 148074 149776 153120 160080 171680 176088 177045 187220 188848 195360 197432 204240 220110 224664 234784 236060 246790 257520 271469 280830 283272 293480 296148 299552 320160 352176 354090 370185 374440 377696 394864 408480 440220 449328 472120 493580 515040 542938 561660 566544 586960 592296 704352 708180 740370 748880 789728 814407 880440 898656 944240 987160 1085876 1123320 1133088 1173920 1184592 1357345 1416360 1480740 1497760 1628814 1760880 1888480 1974320 2171752 2246640 2369184 2714690 2832720 2961480 3257628 3521760 3948640 4072035 4343504 4493280 5429380 5665440 5922960 6515256 8144070 8687008 10858760 11845920 13030512 16288140 21717520 26061024 32576280 43435040 65152560 130305120
- Sum of all divisors σ(n): 496419840
- Sum of proper divisors (its aliquot sum) s(n): 366114720
- 130305120 is an abundant number, because the sum of its proper divisors (366114720) is greater than itself. Its abundance is 235809600
Bases of 130305120
- Binary: 1111100010001001100011000002
- Hexadecimal: 0x7C44C60
- Base-36: 25KW2O
Squares and roots of 130305120
- 130305120 squared (1303051202) is 16979424298214400
- 130305120 cubed (1303051203) is 2212505920709743177728000
-
The
square root of 130305120 is 11415.1268061289 -
The
cube root of 130305120 is 506.9757194197
Scales and comparisons
How big is 130305120?- 130,305,120 seconds is equal to 4 years, 7 weeks, 3 days, 3 hours, 52 minutes.
-
To count from 1 to 130,305,120 would take you about six 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 130305120 cubic inches would be around 42.2 feet tall.
Recreational maths with 130305120
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 130305120 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
APA style:
Numbermatics. (2024). Number 130305120 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/130305120/
Chicago style:
Numbermatics. 2024. "Number 130305120 - Facts about the integer". https://numbermatics.com/n/130305120/
The information we have on file for 130305120 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 130305120, math, Factors of 130305120, curriculum, school, college, exams, university, Prime factorization of 130305120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty million, three hundred five thousand, one hundred twenty.