131206400
131,206,400 is an even composite number composed of five prime numbers multiplied together.
131206400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 131206400:
28 × 52 × 13 × 19 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 19 × 83)See below for interesting mathematical facts about the number 131206400 from the Numbermatics database.
Names of 131206400
- Cardinal: 131206400 can be written as One hundred thirty-one million, two hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.312064 × 108
Factors of 131206400
Divisors of 131206400
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 83 95 100 104 128 130 152 160 166 190 200 208 247 256 260 304 320 325 332 380 400 415 416 475 494 520 608 640 650 664 760 800 830 832 950 988 1040 1079 1216 1235 1280 1300 1328 1520 1577 1600 1660 1664 1900 1976 2075 2080 2158 2432 2470 2600 2656 3040 3154 3200 3320 3328 3800 3952 4150 4160 4316 4864 4940 5200 5312 5395 6080 6175 6308 6400 6640 7600 7885 7904 8300 8320 8632 9880 10400 10624 10790 12160 12350 12616 13280 15200 15770 15808 16600 16640 17264 19760 20501 20800 21248 21580 24320 24700 25232 26560 26975 30400 31540 31616 33200 34528 39425 39520 41002 41600 43160 49400 50464 53120 53950 60800 63080 63232 66400 69056 78850 79040 82004 83200 86320 98800 100928 102505 106240 107900 121600 126160 132800 138112 157700 158080 164008 172640 197600 201856 205010 215800 252320 265600 276224 315400 316160 328016 345280 395200 403712 410020 431600 504640 512525 531200 630800 656032 690560 790400 820040 863200 1009280 1025050 1261600 1312064 1381120 1580800 1640080 1726400 2018560 2050100 2523200 2624128 3280160 3452800 4100200 5046400 5248256 6560320 6905600 8200400 10092800 13120640 16400800 26241280 32801600 65603200 131206400
- Sum of all divisors σ(n): 372580320
- Sum of proper divisors (its aliquot sum) s(n): 241373920
- 131206400 is an abundant number, because the sum of its proper divisors (241373920) is greater than itself. Its abundance is 110167520
Bases of 131206400
- Binary: 1111101001000001101000000002
- Hexadecimal: 0x7D20D00
- Base-36: 2647I8
Squares and roots of 131206400
- 131206400 squared (1312064002) is 17215119400960000
- 131206400 cubed (1312064003) is 2258733842170118144000000
-
The
square root of 131206400 is 11454.5362193325 -
The
cube root of 131206400 is 508.1418993103
Scales and comparisons
How big is 131206400?- 131,206,400 seconds is equal to 4 years, 8 weeks, 6 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 131,206,400 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 131206400 cubic inches would be around 42.3 feet tall.
Recreational maths with 131206400
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