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14141412 = 2233235693
BaseRepresentation
bin110101111100…
…011111100100
3222121110101000
4311330133210
512110011122
61223033300
7231125415
oct65743744
928543330
1014141412
117a8971a
12489b830
132c118cc
141c4180c
1513950ac
hexd7c7e4

14141412 has 48 divisors (see below), whose sum is σ = 38263680. Its totient is φ = 4508064.

The previous prime is 14141411. The next prime is 14141423. The reversal of 14141412 is 21414141.

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

It is not an unprimeable number, because it can be changed into a prime (14141411) 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, 363 + ... + 5330.

It is an arithmetic number, because the mean of its divisors is an integer number (797160).

Almost surely, 214141412 is an apocalyptic number.

14141412 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 14141412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

14141412 is an abundant number, since it is smaller than the sum of its proper divisors (24122268).

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

14141412 is a wasteful number, since it uses less digits than its factorization.

14141412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5721 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 14141412 is about 3760.5068807276. The cubic root of 14141412 is about 241.8229928446.

Adding to 14141412 its reverse (21414141), we get a palindrome (35555553).

It can be divided in two parts, 1414141 and 2, that multiplied together give a palindrome (2828282).

The spelling of 14141412 in words is "fourteen million, one hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 5693 11386 17079 22772 34158 51237 68316 102474 130939 153711 204948 261878 307422 392817 523756 614844 785634 1178451 1571268 2356902 3535353 4713804 7070706 14141412