1331322428800
1,331,322,428,800 is an even composite number composed of seven prime numbers multiplied together.
1331322428800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1331322428800:
27 × 52 × 7 × 13 × 31 × 139 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 31 × 139 × 1061)See below for interesting mathematical facts about the number 1331322428800 from the Numbermatics database.
Names of 1331322428800
- Cardinal: 1331322428800 can be written as One trillion, three hundred thirty-one billion, three hundred twenty-two million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.3313224288 × 1012
Factors of 1331322428800
Divisors of 1331322428800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 50 52 56 62 64 65 70 80 91 100 104 112 124 128 130 139 140 155 160 175 182 200 208 217 224 248 260 278 280 310 320 325 350 364 400 403 416 434 448 455 496 520 556 560 620 640 650 695 700 728 775 800 806 832 868 896 910 973 992 1040 1061 1085 1112 1120 1240 1300 1390 1400 1456 1550 1600 1612 1664 1736 1807 1820 1946 1984 2015 2080 2122 2170 2224 2240 2275 2480 2600 2780 2800 2821 2912 3100 3200 3224 3472 3475 3614 3640 3892 3968 4030 4160 4244 4309 4340 4448 4480 4550 4865 4960 5200 5305 5425 5560 5600 5642 5824 6200 6448 6944 6950 7228 7280 7427 7784 8060 8320 8488 8618 8680 8896 9035 9100 9730 9920 10075 10400 10610 10850 11120 11200 11284 11648 12400 12649 12896 13793 13888 13900 14105 14456 14560 14854 15568 16120 16976 17236 17360 17792 18070 18200 19460 19840 20150 20800 21220 21545 21700 22240 22400 22568 24325 24800 25298 25792 26525 27586 27776 27800 28210 28912 29120 29708 30163 31136 32240 32891 33952 34472 34720 36140 36400 37135 38920 40300 41600 42440 43090 43400 44480 45136 45175 48650 49600 50596 51584 53050 55172 55600 56017 56420 57824 58240 59416 60326 62272 63245 64480 65782 67904 68944 68965 69440 70525 72280 72800 74270 77840 80600 84880 86180 86800 88960 90272 90350 96551 97300 99200 101192 106100 107725 110344 111200 112034 112840 115648 118832 120652 124544 126490 128960 131564 135808 137888 137930 138880 141050 144560 145600 147479 148540 150815 155680 161200 164455 169760 172360 173600 180544 180700 185675 193102 194600 202384 212200 215450 220688 222400 224068 225680 230237 231296 237664 241304 252980 257920 263128 275776 275860 280085 282100 289120 291200 294958 297080 301630 311360 316225 322400 328910 339520 344720 344825 347200 361088 361400 371350 386204 389200 392119 404768 424400 427583 430900 441376 444800 448136 451360 460474 475328 482608 482755 505960 526256 551552 551720 560170 564200 578240 589916 594160 603260 622720 632450 644800 657820 679040 689440 689650 694400 722800 737395 742700 754075 772408 778400 784238 809536 822275 848800 855166 861800 882752 896272 902720 920948 950656 965216 965510 1011920 1032353 1052512 1103440 1120340 1128400 1151185 1156480 1179832 1188320 1206520 1264900 1289600 1315640 1378880 1379300 1400425 1445600 1474790 1485400 1508150 1544816 1556800 1568476 1619072 1644550 1697600 1710332 1723600 1765504 1792544 1805440 1841896 1917227 1930432 1931020 1960595 2023840 2064706 2105024 2137915 2206880 2240680 2256800 2302370 2359664 2376640 2413040 2413775 2529800 2631280 2757760 2758600 2800850 2891200 2949580 2970800 2993081 3016300 3089632 3113600 3136952 3289100 3395200 3420664 3447200 3585088 3683792 3686975 3834454 3860864 3862040 3921190 4047680 4129412 4210048 4275830 4413760 4481360 4513600 4571849 4604740 4719328 4753280 4826080 4827550 5059600 5161765 5262560 5517200 5601700 5755925 5782400 5899160 5941600 5986162 6032600 6179264 6273904 6578200 6841328 6894400 7170176 7367584 7373950 7668908 7724080 7842380 8095360 8258824 8551660 8827520 8962720 9027200 9143698 9209480 9438656 9586135 9652160 9655100 9802975 10119200 10323530 10525120 10689575 11034400 11203400 11511850 11798320 11883200 11972324 12065200 12358528 12547808 13156400 13420589 13682656 13788800 14735168 14747900 14965405 15337816 15448160 15684760 16517648 17103320 17925440 18287396 18418960 18877312 19172270 19304320 19310200 19605950 20238400 20647060 21050240 21379150 22068800 22406800 22859245 23023700 23596640 23766400 23944648 24130400 25095616 25808825 26312800 26841178 27365312 29470336 29495800 29930810 30675632 30896320 31369520 32002943 33035296 34206640 35850880 36574792 36837920 38344540 38620400 39211900 40476800 41294120 42758300 44137600 44813600 45718490 46047400 47193280 47889296 47930675 48260800 50191232 51617650 52625600 53682356 54730624 58991600 59434037 59861620 61351264 61792640 62739040 64005886 66070592 67102945 68413280 73149584 73675840 74827025 76689080 77240800 78423800 82588240 85516600 89627200 91436980 92094800 94386560 95778592 95861350 96521600 103235300 105251200 107364712 114296225 117983200 118868074 119723240 122702528 125478080 128011772 132141184 134205890 136826560 146299168 147351680 149654050 153378160 154481600 156847600 160014715 165176480 171033200 179254400 182873960 184189600 191557184 191722700 206470600 214729424 228592450 235966400 237736148 239446480 245405056 250956160 256023544 268411780 273653120 292598336 297170185 299308100 306756320 308963200 313695200 320029430 330352960 335514725 342066400 365747920 368379200 383114368 383445400 412941200 416038259 429458848 457184900 471932800 475472296 478892960 512047088 536823560 585196672 594340370 598616200 613512640 627390400 640058860 660705920 671029450 684132800 731495840 736758400 766890800 800073575 825882400 832076518 858917696 914369800 950944592 957785920 1024094176 1073647120 1188680740 1197232400 1227025280 1254780800 1280117720 1342058900 1368265600 1462991680 1485850925 1533781600 1600147150 1651764800 1664153036 1717835392 1828739600 1901889184 1915571840 2048188352 2080191295 2147294240 2377361480 2394464800 2560235440 2684117800 2925983360 2971701850 3067563200 3200294300 3303529600 3328306072 3657479200 3803778368 4096376704 4160382590 4294588480 4754722960 4788929600 5120470880 5368235600 5943403700 6135126400 6400588600 6656612144 7314958400 7607556736 8320765180 8589176960 9509445920 9577859200 10240941760 10400956475 10736471200 11886807400 12801177200 13313224288 14629916800 16641530360 19018891840 20481883520 20801912950 21472942400 23773614800 25602354400 26626448576 33283060720 38037783680 41603825900 42945884800 47547229600 51204708800 53252897152 66566121440 83207651800 95094459200 102409417600 133132242880 166415303600 190188918400 266264485760 332830607200 665661214400 1331322428800
- Sum of all divisors σ(n): 4212330393600
- Sum of proper divisors (its aliquot sum) s(n): 2881007964800
- 1331322428800 is an abundant number, because the sum of its proper divisors (2881007964800) is greater than itself. Its abundance is 1549685536000
Bases of 1331322428800
- Binary: 100110101111110010000000000011101100000002
- Hexadecimal: 0x135F9001D80
- Base-36: GZLN00HS
Squares and roots of 1331322428800
- 1331322428800 squared (13313224288002) is 1772419409425931069440000
- 1331322428800 cubed (13313224288003) is 2359661713009192165068242255872000000
-
The
square root of 1331322428800 is 1153829.4626156849 -
The
cube root of 1331322428800 is 11000.8881618949
Scales and comparisons
How big is 1331322428800?- 1,331,322,428,800 seconds is equal to 42,331 years, 48 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 1,331,322,428,800 would take you about one hundred five thousand, eight hundred twenty-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 1331322428800 cubic inches would be around 916.7 feet tall.
Recreational maths with 1331322428800
- 1331322428800 backwards is 0088242231331
- The number of decimal digits it has is: 13
- The sum of 1331322428800's digits is 37
- More coming soon!
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The information we have on file for 1331322428800 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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