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141311324 = 227112711693
BaseRepresentation
bin10000110110000…
…11110101011100
3100211220100200202
420123003311130
5242133430244
622004443032
73334061240
oct1033036534
9324810622
10141311324
1172848320
123b3a9478
132337918b
1414aa6420
15c61504e
hex86c3d5c

141311324 has 48 divisors (see below), whose sum is σ = 309636096. Its totient is φ = 54820800.

The previous prime is 141311323. The next prime is 141311377. The reversal of 141311324 is 423113141.

141311324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 141311296 and 141311305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141311323) 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, 82622 + ... + 84314.

It is an arithmetic number, because the mean of its divisors is an integer number (6450752).

Almost surely, 2141311324 is an apocalyptic number.

141311324 is a gapful number since it is divisible by the number (14) 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 141311324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154818048).

141311324 is an abundant number, since it is smaller than the sum of its proper divisors (168324772).

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

141311324 is a wasteful number, since it uses less digits than its factorization.

141311324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1984 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 141311324 is about 11887.4439641161. The cubic root of 141311324 is about 520.8655751575.

Adding to 141311324 its reverse (423113141), we get a palindrome (564424465).

The spelling of 141311324 in words is "one hundred forty-one million, three hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 271 308 542 1084 1693 1897 2981 3386 3794 5962 6772 7588 11851 11924 18623 20867 23702 37246 41734 47404 74492 83468 130361 260722 458803 521444 917606 1835212 3211621 5046833 6423242 10093666 12846484 20187332 35327831 70655662 141311324