113942400
113,942,400 is an even composite number composed of six prime numbers multiplied together.
113942400 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 113942400:
27 × 3 × 52 × 11 × 13 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 83)See below for interesting mathematical facts about the number 113942400 from the Numbermatics database.
Names of 113942400
- Cardinal: 113942400 can be written as One hundred thirteen million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.139424 × 108
Factors of 113942400
Divisors of 113942400
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 64 65 66 75 78 80 83 88 96 100 104 110 120 128 130 132 143 150 156 160 165 166 176 192 195 200 208 220 240 249 260 264 275 286 300 312 320 325 330 332 352 384 390 400 415 416 429 440 480 498 520 528 550 572 600 624 640 650 660 664 704 715 780 800 825 830 832 858 880 913 960 975 996 1040 1056 1079 1100 1144 1200 1245 1248 1300 1320 1328 1408 1430 1560 1600 1650 1660 1664 1716 1760 1826 1920 1950 1992 2075 2080 2112 2145 2158 2200 2288 2400 2490 2496 2600 2640 2656 2739 2860 3120 3200 3237 3300 3320 3432 3520 3575 3652 3900 3984 4150 4160 4224 4290 4316 4400 4565 4576 4800 4980 4992 5200 5280 5312 5395 5478 5720 6225 6240 6474 6600 6640 6864 7040 7150 7304 7800 7968 8300 8320 8580 8632 8800 9130 9152 9600 9960 10400 10560 10624 10725 10790 10956 11440 11869 12450 12480 12948 13200 13280 13695 13728 14300 14608 15600 15936 16185 16600 17160 17264 17600 18260 18304 19920 20800 21120 21450 21580 21912 22825 22880 23738 24900 24960 25896 26400 26560 26975 27390 27456 28600 29216 31200 31872 32370 33200 34320 34528 35200 35607 36520 39840 41600 42900 43160 43824 45650 45760 47476 49800 51792 52800 53120 53950 54780 54912 57200 58432 59345 62400 64740 66400 68475 68640 69056 71214 73040 79680 80925 85800 86320 87648 91300 91520 94952 99600 103584 105600 107900 109560 114400 116864 118690 124800 129480 132800 136950 137280 138112 142428 146080 159360 161850 171600 172640 175296 178035 182600 189904 199200 207168 215800 219120 228800 237380 258960 265600 273900 274560 284856 292160 296725 323700 343200 345280 350592 356070 365200 379808 398400 414336 431600 438240 457600 474760 517920 547800 569712 584320 593450 647400 686400 690560 712140 730400 759616 796800 863200 876480 890175 949520 1035840 1095600 1139424 1186900 1294800 1372800 1424280 1460800 1519232 1726400 1752960 1780350 1899040 2071680 2191200 2278848 2373800 2589600 2848560 2921600 3452800 3560700 3798080 4382400 4557696 4747600 5179200 5697120 7121400 7596160 8764800 9495200 10358400 11394240 14242800 18990400 22788480 28485600 37980800 56971200 113942400
- Sum of all divisors σ(n): 446221440
- Sum of proper divisors (its aliquot sum) s(n): 332279040
- 113942400 is an abundant number, because the sum of its proper divisors (332279040) is greater than itself. Its abundance is 218336640
Bases of 113942400
- Binary: 1101100101010011111100000002
- Hexadecimal: 0x6CA9F80
- Base-36: 1VU6IO
Squares and roots of 113942400
- 113942400 squared (1139424002) is 12982870517760000
- 113942400 cubed (1139424003) is 1479299425682817024000000
-
The
square root of 113942400 is 10674.3805440877 -
The
cube root of 113942400 is 484.7990806985
Scales and comparisons
How big is 113942400?- 113,942,400 seconds is equal to 3 years, 32 weeks, 2 days, 18 hours, 40 minutes.
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To count from 1 to 113,942,400 would take you about 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 113942400 cubic inches would be around 40.4 feet tall.
Recreational maths with 113942400
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