313123200
313,123,200 is an even composite number composed of five prime numbers multiplied together.
313123200 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 313123200:
27 × 3 × 52 × 132 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 193)See below for interesting mathematical facts about the number 313123200 from the Numbermatics database.
Names of 313123200
- Cardinal: 313123200 can be written as Three hundred thirteen million, one hundred twenty-three thousand, two hundred.
Scientific notation
- Scientific notation: 3.131232 × 108
Factors of 313123200
Divisors of 313123200
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 169 192 193 195 200 208 240 260 300 312 320 325 338 384 386 390 400 416 480 507 520 579 600 624 640 650 676 772 780 800 832 845 960 965 975 1014 1040 1158 1200 1248 1300 1352 1544 1560 1600 1664 1690 1920 1930 1950 2028 2080 2316 2400 2496 2509 2535 2600 2704 2895 3088 3120 3200 3380 3860 3900 4056 4160 4225 4632 4800 4825 4992 5018 5070 5200 5408 5790 6176 6240 6760 7527 7720 7800 8112 8320 8450 9264 9600 9650 10036 10140 10400 10816 11580 12352 12480 12545 12675 13520 14475 15054 15440 15600 16224 16900 18528 19300 20072 20280 20800 21632 23160 24704 24960 25090 25350 27040 28950 30108 30880 31200 32448 32617 33800 37056 37635 38600 40144 40560 41600 46320 50180 50700 54080 57900 60216 61760 62400 62725 64896 65234 67600 74112 75270 77200 80288 81120 92640 97851 100360 101400 108160 115800 120432 123520 124800 125450 130468 135200 150540 154400 160576 162240 163085 185280 188175 195702 200720 202800 231600 240864 250900 260936 270400 301080 308800 321152 324480 326170 370560 376350 391404 401440 405600 463200 481728 489255 501800 521872 540800 602160 617600 652340 752700 782808 802880 811200 815425 926400 963456 978510 1003600 1043744 1204320 1304680 1505400 1565616 1605760 1622400 1630850 1852800 1957020 2007200 2087488 2408640 2446275 2609360 3010800 3131232 3261700 3914040 4014400 4174976 4817280 4892550 5218720 6021600 6262464 6523400 7828080 8028800 9785100 10437440 12043200 12524928 13046800 15656160 19570200 20874880 24086400 26093600 31312320 39140400 52187200 62624640 78280800 104374400 156561600 313123200
- Sum of all divisors σ(n): 1122573240
- Sum of proper divisors (its aliquot sum) s(n): 809450040
- 313123200 is an abundant number, because the sum of its proper divisors (809450040) is greater than itself. Its abundance is 496326840
Bases of 313123200
- Binary: 100101010100111100001100000002
- Hexadecimal: 0x12A9E180
- Base-36: 56FBEO
Squares and roots of 313123200
- 313123200 squared (3131232002) is 98046138378240000
- 313123200 cubed (3131232003) is 30700520596637319168000000
-
The
square root of 313123200 is 17695.2875082605 -
The
cube root of 313123200 is 679.0552046289
Scales and comparisons
How big is 313123200?- 313,123,200 seconds is equal to 9 years, 49 weeks, 5 days, 2 hours, 40 minutes.
-
To count from 1 to 313,123,200 would take you about fourteen 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 313123200 cubic inches would be around 56.6 feet tall.
Recreational maths with 313123200
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