230131440
230,131,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 230131440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
230131440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 230131440:
24 × 32 × 5 × 72 × 11 × 593
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 11 × 593)See below for interesting mathematical facts about the number 230131440 from the Numbermatics database.
Names of 230131440
- Cardinal: 230131440 can be written as Two hundred thirty million, one hundred thirty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 2.3013144 × 108
Factors of 230131440
Divisors of 230131440
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 33 35 36 40 42 44 45 48 49 55 56 60 63 66 70 72 77 80 84 88 90 98 99 105 110 112 120 126 132 140 144 147 154 165 168 176 180 196 198 210 220 231 240 245 252 264 280 294 308 315 330 336 360 385 392 396 420 440 441 462 490 495 504 528 539 560 588 593 616 630 660 693 720 735 770 784 792 840 880 882 924 980 990 1008 1078 1155 1176 1186 1232 1260 1320 1386 1470 1540 1584 1617 1680 1764 1779 1848 1960 1980 2156 2205 2310 2352 2372 2520 2640 2695 2772 2940 2965 3080 3234 3465 3528 3558 3696 3920 3960 4151 4312 4410 4620 4744 4851 5040 5337 5390 5544 5880 5930 6160 6468 6523 6930 7056 7116 7920 8085 8302 8624 8820 8895 9240 9488 9702 10674 10780 11088 11760 11860 12453 12936 13046 13860 14232 16170 16604 17640 17790 18480 19404 19569 20755 21348 21560 23720 24255 24906 25872 26092 26685 27720 28464 29057 32340 32615 33208 35280 35580 37359 38808 39138 41510 42696 43120 45661 47440 48510 49812 52184 53370 55440 58114 58707 62265 64680 65230 66416 71160 74718 77616 78276 83020 85392 87171 91322 97020 97845 99624 104368 106740 116228 117414 124530 129360 130460 136983 142320 145285 149436 156552 166040 174342 182644 186795 194040 195690 199248 213480 228305 232456 234828 249060 260920 261513 273966 290570 293535 298872 313104 319627 332080 348684 365288 373590 388080 391380 410949 426960 435855 456610 464912 469656 498120 521840 523026 547932 581140 587070 597744 639254 684915 697368 730576 747180 782760 821898 871710 913220 939312 958881 996240 1046052 1095864 1162280 1174140 1278508 1307565 1369830 1394736 1494360 1565520 1598135 1643796 1743420 1826440 1917762 2054745 2092104 2191728 2324560 2348280 2557016 2615130 2739660 2876643 2988720 3196270 3287592 3486840 3652880 3835524 4109490 4184208 4696560 4794405 5114032 5230260 5479320 5753286 6392540 6575184 6973680 7671048 8218980 9588810 10460520 10958640 11506572 12785080 14383215 15342096 16437960 19177620 20921040 23013144 25570160 28766430 32875920 38355240 46026288 57532860 76710480 115065720 230131440
- Sum of all divisors σ(n): 982423728
- Sum of proper divisors (its aliquot sum) s(n): 752292288
- 230131440 is an abundant number, because the sum of its proper divisors (752292288) is greater than itself. Its abundance is 522160848
Bases of 230131440
- Binary: 11011011011110000110111100002
- Hexadecimal: 0xDB786F0
- Base-36: 3T0IK0
Squares and roots of 230131440
- 230131440 squared (2301314402) is 52960479676473600
- 230131440 cubed (2301314403) is 12187871451037603689984000
-
The
square root of 230131440 is 15170.0837176333 -
The
cube root of 230131440 is 612.8092587911
Scales and comparisons
How big is 230131440?- 230,131,440 seconds is equal to 7 years, 16 weeks, 3 days, 13 hours, 24 minutes.
-
To count from 1 to 230,131,440 would take you about ten 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 230131440 cubic inches would be around 51.1 feet tall.
Recreational maths with 230131440
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 230131440 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 230131440 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/230131440/
Chicago style:
Numbermatics. 2024. "Number 230131440 - Facts about the integer". https://numbermatics.com/n/230131440/
The information we have on file for 230131440 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 230131440, math, Factors of 230131440, curriculum, school, college, exams, university, Prime factorization of 230131440, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty million, one hundred thirty-one thousand, four hundred forty.