13830007680
13,830,007,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 13830007680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
13830007680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13830007680:
27 × 32 × 5 × 31 × 73 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 73 × 1061)See below for interesting mathematical facts about the number 13830007680 from the Numbermatics database.
Names of 13830007680
- Cardinal: 13830007680 can be written as Thirteen billion, eight hundred thirty million, seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.383000768 × 1010
Factors of 13830007680
Divisors of 13830007680
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 64 72 73 80 90 93 96 120 124 128 144 146 155 160 180 186 192 219 240 248 279 288 292 310 320 360 365 372 384 438 465 480 496 558 576 584 620 640 657 720 730 744 876 930 960 992 1061 1095 1116 1152 1168 1240 1314 1395 1440 1460 1488 1752 1860 1920 1984 2122 2190 2232 2263 2336 2480 2628 2790 2880 2920 2976 3183 3285 3504 3720 3968 4244 4380 4464 4526 4672 4960 5256 5305 5580 5760 5840 5952 6366 6570 6789 7008 7440 8488 8760 8928 9052 9344 9549 9920 10512 10610 11160 11315 11680 11904 12732 13140 13578 14016 14880 15915 16976 17520 17856 18104 19098 19840 20367 21024 21220 22320 22630 23360 25464 26280 27156 28032 29760 31830 32891 33945 33952 35040 35712 36208 38196 40734 42048 42440 44640 45260 46720 47745 50928 52560 54312 59520 63660 65782 67890 67904 70080 72416 76392 77453 81468 84096 84880 89280 90520 95490 98673 101835 101856 105120 108624 127320 131564 135780 135808 140160 144832 152784 154906 162936 164455 169760 178560 181040 190980 197346 203670 203712 210240 217248 232359 254640 263128 271560 289664 296019 305568 309812 325872 328910 339520 362080 381960 387265 394692 407340 407424 420480 434496 464718 493365 509280 526256 543120 592038 611136 619624 651744 657820 679040 697077 724160 763920 774530 789384 814680 868992 929436 986730 1018560 1052512 1086240 1161795 1184076 1222272 1239248 1303488 1315640 1394154 1448320 1480095 1527840 1549060 1578768 1629360 1858872 1973460 2037120 2105024 2172480 2323590 2368152 2401043 2478496 2606976 2631280 2788308 2960190 3055680 3098120 3157536 3258720 3485385 3717744 3946920 4210048 4344960 4647180 4736304 4802086 4956992 5262560 5576616 5920380 6111360 6196240 6315072 6517440 6970770 7203129 7435488 7893840 9294360 9472608 9604172 9913984 10525120 11153232 11840760 12005215 12392480 12630144 13034880 13941540 14406258 14870976 15787680 18588720 18945216 19208344 21050240 21609387 22306464 23681520 24010430 24784960 27883080 28812516 29741952 31575360 36015645 37177440 37890432 38416688 43218774 44612928 47363040 48020860 49569920 55766160 57625032 63150720 72031290 74354880 76833376 86437548 89225856 94726080 96041720 108046935 111532320 115250064 144062580 148709760 153666752 172875096 189452160 192083440 216093870 223064640 230500128 288125160 307333504 345750192 384166880 432187740 446129280 461000256 576250320 691500384 768333760 864375480 922000512 1152500640 1383000768 1536667520 1728750960 2305001280 2766001536 3457501920 4610002560 6915003840 13830007680
- Sum of all divisors σ(n): 50019690240
- Sum of proper divisors (its aliquot sum) s(n): 36189682560
- 13830007680 is an abundant number, because the sum of its proper divisors (36189682560) is greater than itself. Its abundance is 22359674880
Bases of 13830007680
- Binary: 11001110000101010100101011100000002
- Hexadecimal: 0x338552B80
- Base-36: 6CQ1280
Squares and roots of 13830007680
- 13830007680 squared (138300076802) is 191269112428858982400
- 13830007680 cubed (138300076803) is 2645253293837903180228984832000
-
The
square root of 13830007680 is 117601.0530565097 -
The
cube root of 13830007680 is 2400.3476163155
Scales and comparisons
How big is 13830007680?- 13,830,007,680 seconds is equal to 439 years, 39 weeks, 12 hours, 48 minutes.
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To count from 1 to 13,830,007,680 would take you about eight hundred seventy-nine 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 13830007680 cubic inches would be around 200 feet tall.
Recreational maths with 13830007680
- 13830007680 backwards is 08670003831
- 13830007680 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13830007680's digits is 36
- More coming soon!
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The information we have on file for 13830007680 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!
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