138030480
138,030,480 is an even composite number composed of six prime numbers multiplied together.
138030480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 138030480:
24 × 34 × 5 × 7 × 17 × 179
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 17 × 179)See below for interesting mathematical facts about the number 138030480 from the Numbermatics database.
Names of 138030480
- Cardinal: 138030480 can be written as One hundred thirty-eight million, thirty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3803048 × 108
Factors of 138030480
Divisors of 138030480
- Number of divisors d(n): 400
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 27 28 30 34 35 36 40 42 45 48 51 54 56 60 63 68 70 72 80 81 84 85 90 102 105 108 112 119 120 126 135 136 140 144 153 162 168 170 179 180 189 204 210 216 238 240 252 255 270 272 280 306 315 324 336 340 357 358 360 378 405 408 420 432 459 476 504 510 537 540 560 567 595 612 630 648 680 714 716 720 756 765 810 816 840 895 918 945 952 1008 1020 1071 1074 1080 1134 1190 1224 1253 1260 1296 1360 1377 1428 1432 1512 1530 1611 1620 1680 1785 1790 1836 1890 1904 2040 2142 2148 2160 2268 2295 2380 2448 2506 2520 2685 2754 2835 2856 2864 3024 3043 3060 3213 3222 3240 3570 3580 3672 3759 3780 4080 4284 4296 4536 4590 4760 4833 5012 5040 5355 5370 5508 5670 5712 6086 6120 6265 6426 6444 6480 6885 7140 7160 7344 7518 7560 8055 8568 8592 9072 9129 9180 9520 9639 9666 10024 10710 10740 11016 11277 11340 12172 12240 12530 12852 12888 13770 14280 14320 14499 15036 15120 15215 16065 16110 17136 18258 18360 18795 19278 19332 20048 21301 21420 21480 22032 22554 22680 24165 24344 25060 25704 25776 27387 27540 28560 28998 30072 30430 32130 32220 33831 36516 36720 37590 38556 38664 42602 42840 42960 45108 45360 45645 48195 48330 48688 50120 51408 54774 55080 56385 57996 60144 60860 63903 64260 64440 67662 72495 73032 75180 77112 77328 82161 85204 85680 90216 91290 96390 96660 100240 101493 106505 109548 110160 112770 115992 121720 127806 128520 128880 135324 136935 144990 146064 150360 154224 164322 169155 170408 180432 182580 191709 192780 193320 202986 213010 219096 225540 231984 243440 246483 255612 257040 270648 273870 289980 300720 319515 328644 338310 340816 365160 383418 385560 386640 405972 410805 426020 438192 451080 492966 507465 511224 541296 547740 575127 579960 639030 657288 676620 730320 766836 771120 811944 821610 852040 902160 958545 985932 1014930 1022448 1095480 1150254 1159920 1232415 1278060 1314576 1353240 1533672 1623888 1643220 1704080 1725381 1917090 1971864 2029860 2190960 2300508 2464830 2556120 2706480 2875635 3067344 3286440 3450762 3834180 3943728 4059720 4601016 4929660 5112240 5751270 6572880 6901524 7668360 8119440 8626905 9202032 9859320 11502540 13803048 15336720 17253810 19718640 23005080 27606096 34507620 46010160 69015240 138030480
- Sum of all divisors σ(n): 583355520
- Sum of proper divisors (its aliquot sum) s(n): 445325040
- 138030480 is an abundant number, because the sum of its proper divisors (445325040) is greater than itself. Its abundance is 307294560
Bases of 138030480
- Binary: 10000011101000101101100100002
- Hexadecimal: 0x83A2D90
- Base-36: 2A6H00
Squares and roots of 138030480
- 138030480 squared (1380304802) is 19052413409030400
- 138030480 cubed (1380304803) is 2629813768006902446592000
-
The
square root of 138030480 is 11748.6373677971 -
The
cube root of 138030480 is 516.8029683171
Scales and comparisons
How big is 138030480?- 138,030,480 seconds is equal to 4 years, 20 weeks, 1 day, 13 hours, 48 minutes.
-
To count from 1 to 138,030,480 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 138030480 cubic inches would be around 43.1 feet tall.
Recreational maths with 138030480
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 138030480 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 138030480 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138030480/
Chicago style:
Numbermatics. 2024. "Number 138030480 - Facts about the integer". https://numbermatics.com/n/138030480/
The information we have on file for 138030480 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 138030480, math, Factors of 138030480, curriculum, school, college, exams, university, Prime factorization of 138030480, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight million, thirty thousand, four hundred eighty.