130407200
130,407,200 is an even composite number composed of six prime numbers multiplied together.
130407200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 130407200:
25 × 52 × 7 × 11 × 29 × 73
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 29 × 73)See below for interesting mathematical facts about the number 130407200 from the Numbermatics database.
Names of 130407200
- Cardinal: 130407200 can be written as One hundred thirty million, four hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.304072 × 108
Factors of 130407200
Divisors of 130407200
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 29 32 35 40 44 50 55 56 58 70 73 77 80 88 100 110 112 116 140 145 146 154 160 175 176 200 203 220 224 232 275 280 290 292 308 319 350 352 365 385 400 406 440 464 511 550 560 580 584 616 638 700 725 730 770 800 803 812 880 928 1015 1022 1100 1120 1160 1168 1232 1276 1400 1450 1460 1540 1595 1606 1624 1760 1825 1925 2030 2044 2117 2200 2233 2320 2336 2464 2552 2555 2800 2900 2920 3080 3190 3212 3248 3650 3850 4015 4060 4088 4234 4400 4466 4640 5075 5104 5110 5600 5621 5800 5840 6160 6380 6424 6496 7300 7700 7975 8030 8120 8176 8468 8800 8932 10150 10208 10220 10585 11165 11242 11600 11680 12320 12760 12775 12848 14600 14819 15400 15950 16060 16240 16352 16936 17864 20075 20300 20440 21170 22330 22484 23200 23287 25520 25550 25696 28105 29200 29638 30800 31900 32120 32480 33872 35728 40150 40600 40880 42340 44660 44968 46574 51040 51100 52925 55825 56210 58400 59276 61600 63800 64240 67744 71456 74095 80300 81200 81760 84680 89320 89936 93148 102200 105850 111650 112420 116435 118552 127600 128480 140525 148190 160600 162400 163009 169360 178640 179872 186296 204400 211700 223300 224840 232870 237104 255200 281050 296380 321200 326018 338720 357280 370475 372592 408800 423400 446600 449680 465740 474208 562100 582175 592760 642400 652036 740950 745184 815045 846800 893200 899360 931480 1124200 1164350 1185520 1304072 1481900 1630090 1693600 1786400 1862960 2248400 2328700 2371040 2608144 2963800 3260180 3725920 4075225 4496800 4657400 5216288 5927600 6520360 8150450 9314800 11855200 13040720 16300900 18629600 26081440 32601800 65203600 130407200
- Sum of all divisors σ(n): 416223360
- Sum of proper divisors (its aliquot sum) s(n): 285816160
- 130407200 is an abundant number, because the sum of its proper divisors (285816160) is greater than itself. Its abundance is 155408960
Bases of 130407200
- Binary: 1111100010111011011001000002
- Hexadecimal: 0x7C5DB20
- Base-36: 25N2U8
Squares and roots of 130407200
- 130407200 squared (1304072002) is 17006037811840000
- 130407200 cubed (1304072003) is 2217709774136181248000000
-
The
square root of 130407200 is 11419.5971907945 -
The
cube root of 130407200 is 507.1080717869
Scales and comparisons
How big is 130407200?- 130,407,200 seconds is equal to 4 years, 7 weeks, 4 days, 8 hours, 13 minutes, 20 seconds.
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To count from 1 to 130,407,200 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 130407200 cubic inches would be around 42.3 feet tall.
Recreational maths with 130407200
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