Search a number
-
+
1144115412 = 2231122738183
BaseRepresentation
bin100010000110001…
…1101000011010100
32221201212002021220
41010030131003110
54320343143122
6305310210340
740231551306
oct10414350324
92851762256
101144115412
11537906930
1227b1b39b0
1315305878b
14abd43976
156a69c25c
hex4431d0d4

1144115412 has 48 divisors (see below), whose sum is σ = 2925199872. Its totient is φ = 345165280.

The previous prime is 1144115411. The next prime is 1144115429. The reversal of 1144115412 is 2145114411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144115411) 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, 10873 + ... + 49055.

It is an arithmetic number, because the mean of its divisors is an integer number (60941664).

Almost surely, 21144115412 is an apocalyptic number.

1144115412 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 1144115412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462599936).

1144115412 is an abundant number, since it is smaller than the sum of its proper divisors (1781084460).

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

1144115412 is a wasteful number, since it uses less digits than its factorization.

1144115412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38428 (or 38426 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 1144115412 is about 33824.7751212037. The cubic root of 1144115412 is about 1045.8994757080.

Adding to 1144115412 its reverse (2145114411), we get a palindrome (3289229823).

The spelling of 1144115412 in words is "one billion, one hundred forty-four million, one hundred fifteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 227 454 681 908 1362 2497 2724 4994 7491 9988 14982 29964 38183 76366 114549 152732 229098 420013 458196 840026 1260039 1680052 2520078 5040156 8667541 17335082 26002623 34670164 52005246 95342951 104010492 190685902 286028853 381371804 572057706 1144115412