13144182400
13,144,182,400 is an even composite number composed of five prime numbers multiplied together.
13144182400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13144182400:
27 × 52 × 172 × 61 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 61 × 233)See below for interesting mathematical facts about the number 13144182400 from the Numbermatics database.
Names of 13144182400
- Cardinal: 13144182400 can be written as Thirteen billion, one hundred forty-four million, one hundred eighty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.31441824 × 1010
Factors of 13144182400
Divisors of 13144182400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 61 64 68 80 85 100 122 128 136 160 170 200 233 244 272 289 305 320 340 400 425 466 488 544 578 610 640 680 800 850 932 976 1037 1088 1156 1165 1220 1360 1445 1525 1600 1700 1864 1952 2074 2176 2312 2330 2440 2720 2890 3050 3200 3400 3728 3904 3961 4148 4624 4660 4880 5185 5440 5780 5825 6100 6800 7225 7456 7808 7922 8296 9248 9320 9760 10370 10880 11560 11650 12200 13600 14213 14450 14912 15844 16592 17629 18496 18640 19520 19805 20740 23120 23300 24400 25925 27200 28426 28900 29824 31688 33184 35258 36992 37280 39040 39610 41480 46240 46600 48800 51850 54400 56852 57800 63376 66368 67337 70516 71065 74560 79220 82960 88145 92480 93200 97600 99025 103700 113704 115600 126752 132736 134674 141032 142130 149120 158440 165920 176290 184960 186400 195200 198050 207400 227408 231200 241621 253504 269348 282064 284260 316880 331840 336685 352580 355325 372800 396100 414800 440725 454816 462400 483242 507008 538696 564128 568520 633760 663680 673370 705160 710650 745600 792200 829600 881450 909632 924800 966484 1077392 1128256 1137040 1208105 1267520 1346740 1410320 1421300 1584400 1659200 1683425 1762900 1819264 1932968 2154784 2256512 2274080 2416210 2535040 2693480 2820640 2842600 3168800 3318400 3366850 3525800 3865936 4107557 4309568 4548160 4832420 5386960 5641280 5685200 6040525 6337600 6733700 7051600 7731872 8215114 8619136 9096320 9664840 10773920 11282560 11370400 12081050 12675200 13467400 14103200 15463744 16430228 19329680 20537785 21547840 22740800 24162100 26934800 28206400 30927488 32860456 38659360 41075570 43095680 45481600 48324200 53869600 56412800 65720912 77318720 82151140 96648400 102688925 107739200 131441824 154637440 164302280 193296800 205377850 215478400 262883648 328604560 386593600 410755700 525767296 657209120 773187200 821511400 1314418240 1643022800 2628836480 3286045600 6572091200 13144182400
- Sum of all divisors σ(n): 35208522180
- Sum of proper divisors (its aliquot sum) s(n): 22064339780
- 13144182400 is an abundant number, because the sum of its proper divisors (22064339780) is greater than itself. Its abundance is 8920157380
Bases of 13144182400
- Binary: 11000011110111010001001110100000002
- Hexadecimal: 0x30F744E80
- Base-36: 61DPG1S
Squares and roots of 13144182400
- 13144182400 squared (131441824002) is 172769530964469760000
- 13144182400 cubed (131441824003) is 2270914228159438444724224000000
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The
square root of 13144182400 is 114648.0806642657 -
The
cube root of 13144182400 is 2359.9955951275
Scales and comparisons
How big is 13144182400?- 13,144,182,400 seconds is equal to 417 years, 49 weeks, 17 hours, 46 minutes, 40 seconds.
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To count from 1 to 13,144,182,400 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 13144182400 cubic inches would be around 196.7 feet tall.
Recreational maths with 13144182400
- 13144182400 backwards is 00428144131
- The number of decimal digits it has is: 11
- The sum of 13144182400's digits is 28
- More coming soon!
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