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144131208 = 23313659701
BaseRepresentation
bin10001001011101…
…00010010001000
3101001012121211220
420211310102020
5243344144313
622145122040
73400044414
oct1045642210
9331177756
10144131208
11743a3a01
1240329320
1323b25850
14151dbd44
15c9c0823
hex8974488

144131208 has 64 divisors (see below), whose sum is σ = 389188800. Its totient is φ = 44217600.

The previous prime is 144131201. The next prime is 144131209. The reversal of 144131208 is 802131441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (144131201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205258 + ... + 205958.

It is an arithmetic number, because the mean of its divisors is an integer number (6081075).

Almost surely, 2144131208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144131208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194594400).

144131208 is an abundant number, since it is smaller than the sum of its proper divisors (245057592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144131208 is a wasteful number, since it uses less digits than its factorization.

144131208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 144131208 is about 12005.4657552300. The cubic root of 144131208 is about 524.3074259951.

Adding to 144131208 its reverse (802131441), we get a palindrome (946262649).

The spelling of 144131208 in words is "one hundred forty-four million, one hundred thirty-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 659 701 1318 1402 1977 2103 2636 2804 3954 4206 5272 5608 7908 8412 8567 9113 15816 16824 17134 18226 25701 27339 34268 36452 51402 54678 68536 72904 102804 109356 205608 218712 461959 923918 1385877 1847836 2771754 3695672 5543508 6005467 11087016 12010934 18016401 24021868 36032802 48043736 72065604 144131208