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1332124144 = 241322927967
BaseRepresentation
bin100111101100110…
…1001100111110000
310102211121220210021
41033121221213300
510212010433034
6340104013224
745003603601
oct11731514760
93384556707
101332124144
11623a4964a
12312161214
13182ca4a50
14c8cc3da8
157be386b4
hex4f6699f0

1332124144 has 40 divisors (see below), whose sum is σ = 2791765760. Its totient is φ = 612119808.

The previous prime is 1332124139. The next prime is 1332124151. The reversal of 1332124144 is 4414212331.

It is a super-3 number, since 3×13321241443 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33649 + ... + 61615.

It is an arithmetic number, because the mean of its divisors is an integer number (69794144).

Almost surely, 21332124144 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 1332124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395882880).

1332124144 is an abundant number, since it is smaller than the sum of its proper divisors (1459641616).

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

1332124144 is a wasteful number, since it uses less digits than its factorization.

1332124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28217 (or 28211 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 1332124144 is about 36498.2759044862. The cubic root of 1332124144 is about 1100.3095943994.

Adding to 1332124144 its reverse (4414212331), we get a palindrome (5746336475).

The spelling of 1332124144 in words is "one billion, three hundred thirty-two million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 229 458 916 1832 2977 3664 5954 11908 23816 27967 47632 55934 111868 223736 363571 447472 727142 1454284 2908568 5817136 6404443 12808886 25617772 51235544 83257759 102471088 166515518 333031036 666062072 1332124144