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141414 = 23721337
BaseRepresentation
bin100010100001100110
321011222120
4202201212
514011124
63010410
71126200
oct424146
9234876
10141414
1197279
1269a06
134c4a0
1439770
152bd79
hex22866

141414 has 48 divisors (see below), whose sum is σ = 363888. Its totient is φ = 36288.

The previous prime is 141413. The next prime is 141439. The reversal of 141414 is 414141.

141414 is nontrivially palindromic in base 11.

It is an alternating number because its digits alternate between odd and even.

141414 is an undulating number in base 10.

141414 is a modest number, since divided by 1414 gives 14 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 141393 and 141402.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 141414.

It is not an unprimeable number, because it can be changed into a prime (141413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3804 + ... + 3840.

It is an arithmetic number, because the mean of its divisors is an integer number (7581).

2141414 is an apocalyptic number.

141414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181944).

141414 is an abundant number, since it is smaller than the sum of its proper divisors (222474).

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

141414 is a wasteful number, since it uses less digits than its factorization.

141414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 62 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 141414 is about 376.0505285198. The cubic root of 141414 is about 52.0991697265.

Adding to 141414 its reverse (414141), we get a palindrome (555555).

It can be divided in two parts, 141 and 414, that added together give a palindrome (555).

The spelling of 141414 in words is "one hundred forty-one thousand, four hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 49 74 78 91 98 111 147 182 222 259 273 294 481 518 546 637 777 962 1274 1443 1554 1813 1911 2886 3367 3626 3822 5439 6734 10101 10878 20202 23569 47138 70707 141414