113385600
113,385,600 is an even composite number composed of five prime numbers multiplied together.
113385600 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 113385600:
27 × 32 × 52 × 31 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 127)See below for interesting mathematical facts about the number 113385600 from the Numbermatics database.
Names of 113385600
- Cardinal: 113385600 can be written as One hundred thirteen million, three hundred eighty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.133856 × 108
Factors of 113385600
Divisors of 113385600
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 127 128 144 150 155 160 180 186 192 200 225 240 248 254 279 288 300 310 320 360 372 381 384 400 450 465 480 496 508 558 576 600 620 635 640 720 744 762 775 800 900 930 960 992 1016 1116 1143 1152 1200 1240 1270 1395 1440 1488 1524 1550 1600 1800 1860 1905 1920 1984 2032 2232 2286 2325 2400 2480 2540 2790 2880 2976 3048 3100 3175 3200 3600 3720 3810 3937 3968 4064 4464 4572 4650 4800 4960 5080 5580 5715 5760 5952 6096 6200 6350 6975 7200 7440 7620 7874 8128 8928 9144 9300 9525 9600 9920 10160 11160 11430 11811 11904 12192 12400 12700 13950 14400 14880 15240 15748 16256 17856 18288 18600 19050 19685 19840 20320 22320 22860 23622 24384 24800 25400 27900 28575 28800 29760 30480 31496 35433 35712 36576 37200 38100 39370 40640 44640 45720 47244 48768 49600 50800 55800 57150 59055 59520 60960 62992 70866 73152 74400 76200 78740 81280 89280 91440 94488 98425 99200 101600 111600 114300 118110 121920 125984 141732 146304 148800 152400 157480 177165 178560 182880 188976 196850 203200 223200 228600 236220 243840 251968 283464 295275 297600 304800 314960 354330 365760 377952 393700 406400 446400 457200 472440 503936 566928 590550 609600 629920 708660 731520 755904 787400 885825 892800 914400 944880 1133856 1181100 1219200 1259840 1417320 1511808 1574800 1771650 1828800 1889760 2267712 2362200 2519680 2834640 3149600 3543300 3657600 3779520 4535424 4724400 5669280 6299200 7086600 7559040 9448800 11338560 12598400 14173200 18897600 22677120 28346400 37795200 56692800 113385600
- Sum of all divisors σ(n): 420925440
- Sum of proper divisors (its aliquot sum) s(n): 307539840
- 113385600 is an abundant number, because the sum of its proper divisors (307539840) is greater than itself. Its abundance is 194154240
Bases of 113385600
- Binary: 1101100001000100000100000002
- Hexadecimal: 0x6C22080
- Base-36: 1VI8W0
Squares and roots of 113385600
- 113385600 squared (1133856002) is 12856294287360000
- 113385600 cubed (1133856003) is 1457718641548886016000000
-
The
square root of 113385600 is 10648.2674647099 -
The
cube root of 113385600 is 484.0081049573
Scales and comparisons
How big is 113385600?- 113,385,600 seconds is equal to 3 years, 31 weeks, 3 days, 8 hours.
-
To count from 1 to 113,385,600 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 113385600 cubic inches would be around 40.3 feet tall.
Recreational maths with 113385600
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