13142382400
13,142,382,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13142382400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
13142382400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13142382400:
26 × 52 × 7 × 29 × 43 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 29 × 43 × 941)See below for interesting mathematical facts about the number 13142382400 from the Numbermatics database.
Names of 13142382400
- Cardinal: 13142382400 can be written as Thirteen billion, one hundred forty-two million, three hundred eighty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.31423824 × 1010
Factors of 13142382400
Divisors of 13142382400
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 43 50 56 58 64 70 80 86 100 112 116 140 145 160 172 175 200 203 215 224 232 280 290 301 320 344 350 400 406 430 448 464 560 580 602 688 700 725 800 812 860 928 941 1015 1075 1120 1160 1204 1247 1376 1400 1450 1505 1600 1624 1720 1856 1882 2030 2150 2240 2320 2408 2494 2752 2800 2900 3010 3248 3440 3764 4060 4300 4640 4705 4816 4988 5075 5600 5800 6020 6235 6496 6587 6880 7525 7528 8120 8600 8729 9280 9410 9632 9976 10150 11200 11600 12040 12470 12992 13174 13760 15050 15056 16240 17200 17458 18820 19264 19952 20300 23200 23525 24080 24940 26348 27289 30100 30112 31175 32480 32935 34400 34916 37640 39904 40463 40600 43645 46400 47050 48160 49880 52696 54578 60200 60224 62350 64960 65870 68800 69832 75280 79808 80926 81200 87290 94100 96320 99760 105392 109156 120400 124700 131740 136445 139664 150560 161852 162400 164675 174580 188200 191023 199520 202315 210784 218225 218312 240800 249400 263480 272890 279328 283241 301120 323704 324800 329350 349160 376400 382046 399040 404630 421568 436450 436624 481600 498800 526960 545780 558656 566482 647408 658700 682225 698320 752800 764092 809260 872900 873248 955115 997600 1011575 1053920 1091560 1132964 1173427 1294816 1317400 1364450 1396640 1416205 1505600 1528184 1618520 1745800 1746496 1910230 1995200 2023150 2107840 2183120 2265928 2346854 2589632 2634800 2728900 2793280 2832410 3056368 3237040 3491600 3820460 4046300 4366240 4531856 4693708 4775575 5269600 5457800 5664820 5867135 6112736 6474080 6983200 7081025 7640920 8092600 8213989 8732480 9063712 9387416 9551150 10539200 10915600 11329640 11734270 12225472 12948160 13966400 14162050 15281840 16185200 16427978 18127424 18774832 19102300 21831200 22659280 23468540 28324100 29335675 30563680 32370400 32855956 37549664 38204600 41069945 43662400 45318560 46937080 56648200 58671350 61127360 64740800 65711912 75099328 76409200 82139890 90637120 93874160 113296400 117342700 131423824 152818400 164279780 187748320 205349725 226592800 234685400 262847648 305636800 328559560 375496640 410699450 453185600 469370800 525695296 657119120 821398900 938741600 1314238240 1642797800 1877483200 2628476480 3285595600 6571191200 13142382400
- Sum of all divisors σ(n): 39163386240
- Sum of proper divisors (its aliquot sum) s(n): 26021003840
- 13142382400 is an abundant number, because the sum of its proper divisors (26021003840) is greater than itself. Its abundance is 12878621440
Bases of 13142382400
- Binary: 11000011110101100011010111010000002
- Hexadecimal: 0x30F58D740
- Base-36: 61CMV5S
Squares and roots of 13142382400
- 13142382400 squared (131423824002) is 172722215147829760000
- 13142382400 cubed (131423824003) is 2269981400447851236020224000000
-
The
square root of 13142382400 is 114640.2302858817 -
The
cube root of 13142382400 is 2359.8878621427
Scales and comparisons
How big is 13142382400?- 13,142,382,400 seconds is equal to 417 years, 46 weeks, 21 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,142,382,400 would take you about eight hundred thirty-five 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 13142382400 cubic inches would be around 196.7 feet tall.
Recreational maths with 13142382400
- 13142382400 backwards is 00428324131
- 13142382400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13142382400's digits is 28
- More coming soon!
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