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3144144132 = 223287337337
BaseRepresentation
bin1011101101100111…
…1101010100000100
322010010021001220200
42323121331110010
522414400103012
61235553530500
7140625532653
oct27331752404
98103231820
103144144132
111373873028
12738b73a30
133b1512c1c
1421b80919a
151360683dc
hexbb67d504

3144144132 has 18 divisors (see below), whose sum is σ = 7947697758. Its totient is φ = 1048048032.

The previous prime is 3144144119. The next prime is 3144144139. The reversal of 3144144132 is 2314414413.

It can be written as a sum of positive squares in only one way, i.e., 2557729476 + 586414656 = 50574^2 + 24216^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 3144144096 and 3144144105.

It is not an unprimeable number, because it can be changed into a prime (3144144139) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 43668633 + ... + 43668704.

Almost surely, 23144144132 is an apocalyptic number.

It is an amenable number.

3144144132 is an abundant number, since it is smaller than the sum of its proper divisors (4803553626).

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

3144144132 is a wasteful number, since it uses less digits than its factorization.

3144144132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87337347 (or 87337342 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3144144132 is about 56072.6683153210. The cubic root of 3144144132 is about 1464.9882749783.

Adding to 3144144132 its reverse (2314414413), we get a palindrome (5458558545).

It can be divided in two parts, 314414413 and 2, that multiplied together give a palindrome (628828826).

The spelling of 3144144132 in words is "three billion, one hundred forty-four million, one hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 87337337 174674674 262012011 349349348 524024022 786036033 1048048044 1572072066 3144144132