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141312 = 211323
BaseRepresentation
bin100010100000000000
321011211210
4202200000
514010222
63010120
71125663
oct424000
9234753
10141312
1197196
1269940
134c422
14396da
152bd0c
hex22800

141312 has 48 divisors (see below), whose sum is σ = 393120. Its totient is φ = 45056.

The previous prime is 141311. The next prime is 141319. The reversal of 141312 is 213141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6133 + ... + 6155.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2141312 is an apocalyptic number.

141312 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 141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

141312 is an abundant number, since it is smaller than the sum of its proper divisors (251808).

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

141312 is an equidigital number, since it uses as much as digits as its factorization.

141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 28 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 141312 is about 375.9148839831. The cubic root of 141312 is about 52.0866405722.

Adding to 141312 its reverse (213141), we get a palindrome (354453).

It can be divided in two parts, 14 and 1312, that added together give a triangular number (1326 = T51).

The spelling of 141312 in words is "one hundred forty-one thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2048 2208 2944 3072 4416 5888 6144 8832 11776 17664 23552 35328 47104 70656 141312