13680634800
13,680,634,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13680634800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
13680634800 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 13680634800:
24 × 3 × 52 × 7 × 31 × 107 × 491
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 31 × 107 × 491)See below for interesting mathematical facts about the number 13680634800 from the Numbermatics database.
Names of 13680634800
- Cardinal: 13680634800 can be written as Thirteen billion, six hundred eighty million, six hundred thirty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36806348 × 1010
Factors of 13680634800
Divisors of 13680634800
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 35 40 42 48 50 56 60 62 70 75 80 84 93 100 105 107 112 120 124 140 150 155 168 175 186 200 210 214 217 240 248 280 300 310 321 336 350 372 400 420 428 434 465 491 496 525 535 560 600 620 642 651 700 744 749 775 840 856 868 930 982 1050 1070 1085 1200 1240 1284 1302 1400 1473 1488 1498 1550 1605 1680 1712 1736 1860 1964 2100 2140 2170 2247 2325 2455 2480 2568 2604 2675 2800 2946 2996 3100 3210 3255 3317 3437 3472 3720 3745 3928 4200 4280 4340 4494 4650 4910 5136 5208 5350 5425 5892 5992 6200 6420 6510 6634 6874 7365 7440 7490 7856 8025 8400 8560 8680 8988 9300 9820 9951 10311 10416 10700 10850 11235 11784 11984 12275 12400 12840 13020 13268 13748 14730 14980 15221 16050 16275 16585 17185 17360 17976 18600 18725 19640 19902 20622 21400 21700 22470 23219 23568 24550 25680 26040 26536 27496 29460 29960 30442 32100 32550 33170 34370 35952 36825 37200 37450 39280 39804 41244 42800 43400 44940 45663 46438 49100 49755 51555 52080 52537 53072 54992 56175 58920 59920 60884 64200 65100 66340 68740 69657 73650 74900 76105 79608 82488 82925 85925 86800 89880 91326 92876 98200 99510 103110 105074 106547 112350 116095 117840 121768 128400 130200 132680 137480 139314 147300 149800 152210 157611 159216 164976 165850 171850 179760 182652 185752 196400 199020 206220 210148 213094 224700 228315 232190 243536 248775 257775 260400 262685 265360 274960 278628 294600 299600 304420 315222 319641 331700 343700 348285 365304 367759 371504 380525 398040 412440 420296 426188 449400 456630 464380 497550 515550 525370 532735 557256 580475 589200 608840 630444 639282 663400 687400 696570 730608 735518 761050 788055 796080 824880 840592 852376 898800 913260 928760 995100 1031100 1050740 1065470 1103277 1114512 1141575 1160950 1217680 1260888 1278564 1313425 1326800 1374800 1393140 1471036 1522100 1576110 1598205 1628647 1704752 1741425 1826520 1838795 1857520 1990200 2062200 2101480 2130940 2206554 2283150 2321900 2521776 2557128 2626850 2663675 2786280 2942072 3044200 3152220 3196410 3257294 3482850 3653040 3677590 3940275 3980400 4124400 4202960 4261880 4413108 4566300 4643800 4885941 5114256 5253700 5327350 5516385 5572560 5884144 6088400 6304440 6392820 6514588 6965700 7355180 7880550 7991025 8143235 8523760 8826216 9132600 9193975 9287600 9771882 10507400 10654700 11032770 11400529 12608880 12785640 13029176 13931400 14710360 15761100 15982050 16286470 17652432 18265200 18387950 19543764 21014800 21309400 22065540 22801058 24429705 25571280 26058352 27581925 27862800 29420720 31522200 31964100 32572940 34201587 36775900 39087528 40716175 42618800 44131080 45602116 48859410 55163850 57002645 63044400 63928200 65145880 68403174 73551800 78175056 81432350 88262160 91204232 97718820 110327700 114005290 122148525 127856400 130291760 136806348 147103600 162864700 171007935 182408464 195437640 220655400 228010580 244297050 273612696 285013225 325729400 342015870 390875280 441310800 456021160 488594100 547225392 570026450 651458800 684031740 855039675 912042320 977188200 1140052900 1368063480 1710079350 1954376400 2280105800 2736126960 3420158700 4560211600 6840317400 13680634800
- Sum of all divisors σ(n): 52289224704
- Sum of proper divisors (its aliquot sum) s(n): 38608589904
- 13680634800 is an abundant number, because the sum of its proper divisors (38608589904) is greater than itself. Its abundance is 24927955104
Bases of 13680634800
- Binary: 11001011110110110111101011101100002
- Hexadecimal: 0x32F6DEBB0
- Base-36: 6A93HDC
Squares and roots of 13680634800
- 13680634800 squared (136806348002) is 187159768530971040000
- 13680634800 cubed (136806348003) is 2560464442524747287616192000000
-
The
square root of 13680634800 is 116964.2458189681 -
The
cube root of 13680634800 is 2391.6745557467
Scales and comparisons
How big is 13680634800?- 13,680,634,800 seconds is equal to 435 years, 16 hours, 20 minutes.
-
To count from 1 to 13,680,634,800 would take you about eight hundred seventy 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 13680634800 cubic inches would be around 199.3 feet tall.
Recreational maths with 13680634800
- 13680634800 backwards is 00843608631
- The number of decimal digits it has is: 11
- The sum of 13680634800's digits is 39
- More coming soon!
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 13680634800 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 13680634800 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/13680634800/
Chicago style:
Numbermatics. 2024. "Number 13680634800 - Facts about the integer". https://numbermatics.com/n/13680634800/
The information we have on file for 13680634800 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 13680634800, math, Factors of 13680634800, curriculum, school, college, exams, university, Prime factorization of 13680634800, STEM, science, technology, engineering, physics, economics, calculator, thirteen billion, six hundred eighty million, six hundred thirty-four thousand, eight hundred.