136424400
136,424,400 is an even composite number composed of six prime numbers multiplied together.
136424400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 136424400:
24 × 3 × 52 × 7 × 109 × 149
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 109 × 149)See below for interesting mathematical facts about the number 136424400 from the Numbermatics database.
Names of 136424400
- Cardinal: 136424400 can be written as One hundred thirty-six million, four hundred twenty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.364244 × 108
Factors of 136424400
Divisors of 136424400
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 109 112 120 140 149 150 168 175 200 210 218 240 280 298 300 327 336 350 400 420 436 447 525 545 560 596 600 654 700 745 763 840 872 894 1043 1050 1090 1192 1200 1308 1400 1490 1526 1635 1680 1744 1788 2086 2100 2180 2235 2289 2384 2616 2725 2800 2980 3052 3129 3270 3576 3725 3815 4172 4200 4360 4470 4578 5215 5232 5450 5960 6104 6258 6540 7152 7450 7630 8175 8344 8400 8720 8940 9156 10430 10900 11175 11445 11920 12208 12516 13080 14900 15260 15645 16241 16350 16688 17880 18312 19075 20860 21800 22350 22890 25032 26075 26160 29800 30520 31290 32482 32700 35760 36624 38150 41720 43600 44700 45780 48723 50064 52150 57225 59600 61040 62580 64964 65400 76300 78225 81205 83440 89400 91560 97446 104300 113687 114450 125160 129928 130800 152600 156450 162410 178800 183120 194892 208600 227374 228900 243615 250320 259856 305200 312900 324820 341061 389784 406025 417200 454748 457800 487230 568435 625800 649640 682122 779568 812050 909496 915600 974460 1136870 1218075 1251600 1299280 1364244 1624100 1705305 1818992 1948920 2273740 2436150 2728488 2842175 3248200 3410610 3897840 4547480 4872300 5456976 5684350 6496400 6821220 8526525 9094960 9744600 11368700 13642440 17053050 19489200 22737400 27284880 34106100 45474800 68212200 136424400
- Sum of all divisors σ(n): 507408000
- Sum of proper divisors (its aliquot sum) s(n): 370983600
- 136424400 is an abundant number, because the sum of its proper divisors (370983600) is greater than itself. Its abundance is 234559200
Bases of 136424400
- Binary: 10000010000110101011110100002
- Hexadecimal: 0x821ABD0
- Base-36: 2981QO
Squares and roots of 136424400
- 136424400 squared (1364244002) is 18611616915360000
- 136424400 cubed (1364244003) is 2539078670707838784000000
-
The
square root of 136424400 is 11680.0856161247 -
The
cube root of 136424400 is 514.7906900703
Scales and comparisons
How big is 136424400?- 136,424,400 seconds is equal to 4 years, 17 weeks, 3 days, 23 hours, 40 minutes.
-
To count from 1 to 136,424,400 would take you about six 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 136424400 cubic inches would be around 42.9 feet tall.
Recreational maths with 136424400
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