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14142312 = 23321031907
BaseRepresentation
bin110101111100…
…101101101000
3222121111121100
4311330231220
512110023222
61223041400
7231131142
oct65745550
928544540
1014142312
117a8a368
1248a0260
132c12142
141c41c92
1513954ac
hexd7cb68

14142312 has 48 divisors (see below), whose sum is σ = 38694240. Its totient is φ = 4665888.

The previous prime is 14142311. The next prime is 14142319. The reversal of 14142312 is 21324141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14142311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6463 + ... + 8369.

It is an arithmetic number, because the mean of its divisors is an integer number (806130).

Almost surely, 214142312 is an apocalyptic number.

14142312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19347120).

14142312 is an abundant number, since it is smaller than the sum of its proper divisors (24551928).

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

14142312 is a wasteful number, since it uses less digits than its factorization.

14142312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2015 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 14142312 is about 3760.6265435430. The cubic root of 14142312 is about 241.8281228386.

Adding to 14142312 its reverse (21324141), we get a palindrome (35466453).

The spelling of 14142312 in words is "fourteen million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 1907 2472 3708 3814 5721 7416 7628 11442 15256 17163 22884 34326 45768 68652 137304 196421 392842 589263 785684 1178526 1571368 1767789 2357052 3535578 4714104 7071156 14142312