13938384086400
13,938,384,086,400 is an even composite number composed of six prime numbers multiplied together.
13938384086400 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 13938384086400:
27 × 3 × 52 × 79 × 941 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 79 × 941 × 19531)See below for interesting mathematical facts about the number 13938384086400 from the Numbermatics database.
Names of 13938384086400
- Cardinal: 13938384086400 can be written as Thirteen trillion, nine hundred thirty-eight billion, three hundred eighty-four million, eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.39383840864 × 1013
Factors of 13938384086400
Divisors of 13938384086400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 79 80 96 100 120 128 150 158 160 192 200 237 240 300 316 320 384 395 400 474 480 600 632 640 790 800 941 948 960 1185 1200 1264 1580 1600 1882 1896 1920 1975 2370 2400 2528 2823 3160 3200 3764 3792 3950 4705 4740 4800 5056 5646 5925 6320 7528 7584 7900 9410 9480 9600 10112 11292 11850 12640 14115 15056 15168 15800 18820 18960 19531 22584 23525 23700 25280 28230 30112 30336 31600 37640 37920 39062 45168 47050 47400 50560 56460 58593 60224 63200 70575 74339 75280 75840 78124 90336 94100 94800 97655 112920 117186 120448 126400 141150 148678 150560 151680 156248 180672 188200 189600 195310 223017 225840 234372 252800 282300 292965 297356 301120 312496 361344 371695 376400 379200 390620 446034 451680 468744 488275 564600 585930 594712 602240 624992 743390 752800 758400 781240 892068 903360 937488 976550 1115085 1129200 1171860 1189424 1249984 1464825 1486780 1505600 1542949 1562480 1784136 1806720 1858475 1874976 1953100 2230170 2258400 2343720 2378848 2499968 2929650 2973560 3011200 3085898 3124960 3568272 3716950 3749952 3906200 4460340 4516800 4628847 4687440 4757696 5575425 5859300 5947120 6171796 6249920 7136544 7433900 7499904 7714745 7812400 8920680 9033600 9257694 9374880 9515392 11150850 11718600 11894240 12343592 12499840 14273088 14867800 15429490 15624800 17841360 18378671 18515388 18749760 22301700 23144235 23437200 23788480 24687184 28546176 29735600 30858980 31249600 35682720 36757342 37030776 37499520 38573725 44603400 46288470 46874400 47576960 49374368 55136013 59471200 61717960 62499200 71365440 73514684 74061552 77147450 89206800 91893355 92576940 93748800 98748736 110272026 115721175 118942400 123435920 142730880 147029368 148123104 154294900 178413600 183786710 185153880 187497600 197497472 220544052 231442350 237884800 246871840 275680065 294058736 296246208 308589800 356827200 367573420 370307760 441088104 459466775 462884700 493743680 551360130 588117472 592492416 617179600 713654400 735146840 740615520 882176208 918933550 925769400 987487360 1102720260 1176234944 1234359200 1378400325 1451915009 1470293680 1481231040 1764352416 1837867100 1851538800 2205440520 2352469888 2468718400 2756800650 2903830018 2940587360 2962462080 3528704832 3675734200 3703077600 4355745027 4410881040 4937436800 5513601300 5807660036 5881174720 7057409664 7259575045 7351468400 7406155200 8711490054 8821762080 11027202600 11615320072 11762349440 14519150090 14702936800 14812310400 17422980108 17643524160 21778725135 22054405200 23230640144 29038300180 29405873600 34845960216 35287048320 36297875225 43557450270 44108810400 46461280288 58076600360 58811747200 69691920432 72595750450 87114900540 88217620800 92922560576 108893625675 116153200720 139383840864 145191500900 174229801080 176435241600 185845121152 217787251350 232306401440 278767681728 290383001800 348459602160 435574502700 464612802880 557535363456 580766003600 696919204320 871149005400 929225605760 1161532007200 1393838408640 1742298010800 2323064014400 2787676817280 3484596021600 4646128028800 6969192043200 13938384086400
- Sum of all divisors σ(n): 46542474662400
- Sum of proper divisors (its aliquot sum) s(n): 32604090576000
- 13938384086400 is an abundant number, because the sum of its proper divisors (32604090576000) is greater than itself. Its abundance is 18665706489600
Bases of 13938384086400
- Binary: 110010101101010010000110111010100101100000002
- Hexadecimal: 0xCAD486EA580
- Base-36: 4XV7E08LC
Squares and roots of 13938384086400
- 13938384086400 squared (139383840864002) is 194278550940008762664960000
- 13938384086400 cubed (139383840864003) is 2707929062751069898605832918892544000000
-
The
square root of 13938384086400 is 3733414.5344978771 -
The
cube root of 13938384086400 is 24066.0127577983
Scales and comparisons
How big is 13938384086400?- 13,938,384,086,400 seconds is equal to 443,197 years, 25 weeks, 6 days, 21 hours, 20 minutes.
-
To count from 1 to 13,938,384,086,400 would take you about one million, one hundred seven thousand, nine hundred ninety-three 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 13938384086400 cubic inches would be around 2005.5 feet tall.
Recreational maths with 13938384086400
- 13938384086400 backwards is 00468048383931
- The number of decimal digits it has is: 14
- The sum of 13938384086400's digits is 57
- More coming soon!
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