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11441144 = 23111373137
BaseRepresentation
bin101011101001…
…001111111000
3210112021022002
4223221033320
510412104034
61045120132
7166151051
oct53511770
923467262
1011441144
1165049a0
1239b9048
1324a7810
14173b728
15100ee7e
hexae93f8

11441144 has 64 divisors (see below), whose sum is σ = 25734240. Its totient is φ = 4700160.

The previous prime is 11441141. The next prime is 11441149. The reversal of 11441144 is 44114411.

It is a happy number.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441141) 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, 83444 + ... + 83580.

Almost surely, 211441144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12867120).

11441144 is an abundant number, since it is smaller than the sum of its proper divisors (14293096).

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

11441144 is a wasteful number, since it uses less digits than its factorization.

11441144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 11441144 is about 3382.4760161751. The cubic root of 11441144 is about 225.3321448377.

Adding to 11441144 its reverse (44114411), we get a palindrome (55555555).

It can be divided in two parts, 11 and 441144, that multiplied together give a palindrome (4852584).

The spelling of 11441144 in words is "eleven million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 73 88 104 137 143 146 274 286 292 548 572 584 803 949 1096 1144 1507 1606 1781 1898 3014 3212 3562 3796 6028 6424 7124 7592 10001 10439 12056 14248 19591 20002 20878 39182 40004 41756 78364 80008 83512 110011 130013 156728 220022 260026 440044 520052 880088 1040104 1430143 2860286 5720572 11441144