13278028400
13,278,028,400 is an even composite number composed of seven prime numbers multiplied together.
13278028400 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 13278028400:
24 × 52 × 7 × 13 × 19 × 73 × 263
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 19 × 73 × 263)See below for interesting mathematical facts about the number 13278028400 from the Numbermatics database.
Names of 13278028400
- Cardinal: 13278028400 can be written as Thirteen billion, two hundred seventy-eight million, twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.32780284 × 1010
Factors of 13278028400
Divisors of 13278028400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 25 26 28 35 38 40 50 52 56 65 70 73 76 80 91 95 100 104 112 130 133 140 146 152 175 182 190 200 208 247 260 263 266 280 292 304 325 350 364 365 380 400 455 475 494 511 520 526 532 560 584 650 665 700 728 730 760 910 949 950 988 1022 1040 1052 1064 1168 1235 1300 1315 1330 1387 1400 1456 1460 1520 1729 1820 1825 1841 1898 1900 1976 2044 2104 2128 2275 2470 2555 2600 2630 2660 2774 2800 2920 3325 3419 3458 3640 3650 3682 3796 3800 3952 4088 4208 4550 4745 4940 4997 5110 5200 5260 5320 5548 5840 6175 6575 6643 6650 6838 6916 6935 7280 7300 7364 7592 7600 8176 8645 9100 9205 9490 9709 9880 9994 10220 10520 10640 11096 12350 12775 13150 13286 13300 13676 13832 13870 14600 14728 15184 17095 17290 18031 18200 18410 18980 19199 19418 19760 19988 20440 21040 22192 23725 23933 24700 24985 25550 26300 26572 26600 27352 27664 27740 29200 29456 33215 34190 34580 34675 34979 36062 36400 36820 37960 38398 38836 39976 40880 43225 46025 47450 47866 48545 49400 49970 51100 52600 53144 53200 54704 55480 64961 66430 68380 69160 69350 69958 72124 73640 75920 76796 77672 79952 85475 86450 90155 92050 94900 95732 95995 97090 98800 99940 102200 105200 106288 110960 119665 124925 126217 129922 132860 134393 136760 138320 138700 139916 144248 147280 153592 155344 166075 170950 172900 174895 180310 184100 189800 191464 191990 194180 199880 204400 239330 242725 249587 249850 252434 259844 265720 268786 273520 277400 279832 288496 307184 324805 332150 341900 345800 349790 360620 364781 368200 379600 382928 383980 388360 399760 450775 454727 478660 479975 485450 499174 499700 504868 519688 531440 537572 554800 559664 598325 631085 649610 664300 671965 683800 691600 699580 721240 729562 736400 767960 776720 874475 901550 909454 957320 959950 970900 998348 999400 1009736 1039376 1075144 1196650 1247935 1262170 1299220 1328600 1343930 1367600 1399160 1442480 1459124 1535920 1624025 1747109 1748950 1803100 1818908 1823905 1914640 1919900 1941800 1996696 1998800 2019472 2150288 2273635 2393300 2495870 2524340 2553467 2598440 2657200 2687860 2798320 2918248 3155425 3248050 3359825 3494218 3497900 3606200 3637816 3647810 3839800 3883600 3993392 4547270 4742153 4786600 4991740 5048680 5106934 5196880 5375720 5836496 6239675 6310850 6496100 6719650 6988436 6995800 7212400 7275632 7295620 7679600 8735545 9094540 9119525 9484306 9573200 9983480 10097360 10213868 10751440 11368175 12479350 12621700 12767335 12992200 13439300 13976872 13991600 14591240 17471090 18189080 18239050 18968612 19966960 20427736 22736350 23710765 24958700 25243400 25534670 25984400 26878600 27953744 29182480 33195071 34942180 36378160 36478100 37937224 40855472 43677725 45472700 47421530 49917400 50486800 51069340 53757200 63836675 66390142 69884360 72956200 75874448 87355450 90945400 94843060 99834800 102138680 118553825 127673350 132780284 139768720 145912400 165975355 174710900 181890800 189686120 204277360 237107650 255346700 265560568 331950710 349421800 379372240 474215300 510693400 531121136 663901420 698843600 829876775 948430600 1021386800 1327802840 1659753550 1896861200 2655605680 3319507100 6639014200 13278028400
- Sum of all divisors σ(n): 42053975040
- Sum of proper divisors (its aliquot sum) s(n): 28775946640
- 13278028400 is an abundant number, because the sum of its proper divisors (28775946640) is greater than itself. Its abundance is 15497918240
Bases of 13278028400
- Binary: 11000101110110111010100010011100002
- Hexadecimal: 0x3176EA270
- Base-36: 63LE8A8
Squares and roots of 13278028400
- 13278028400 squared (132780284002) is 176306038191206560000
- 13278028400 cubed (132780284003) is 2340996582194325333946304000000
-
The
square root of 13278028400 is 115230.3276051925 -
The
cube root of 13278028400 is 2367.9790970503
Scales and comparisons
How big is 13278028400?- 13,278,028,400 seconds is equal to 422 years, 10 weeks, 2 days, 21 hours, 13 minutes, 20 seconds.
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To count from 1 to 13,278,028,400 would take you about eight hundred forty-four 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 13278028400 cubic inches would be around 197.3 feet tall.
Recreational maths with 13278028400
- 13278028400 backwards is 00482087231
- 13278028400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13278028400's digits is 35
- More coming soon!
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