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4123434132 = 2232532161129
BaseRepresentation
bin1111010111000110…
…1001110010010100
3101122100222011020200
43311301221302110
531421044343012
61521055300500
7204116416566
oct36561516224
911570864220
104123434132
111826631104
12970b1a730
1350937b76c
142b18c5336
151920083dc
hexf5c69c94

4123434132 has 36 divisors (see below), whose sum is σ = 10619792820. Its totient is φ = 1348543872.

The previous prime is 4123434113. The next prime is 4123434149. The reversal of 4123434132 is 2314343214.

It can be written as a sum of positive squares in 2 ways, for example, as 2032567056 + 2090867076 = 45084^2 + 45726^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 4123434096 and 4123434105.

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 11 ways as a sum of consecutive naturals, for example, 1078657 + ... + 1082472.

It is an arithmetic number, because the mean of its divisors is an integer number (294994245).

Almost surely, 24123434132 is an apocalyptic number.

It is an amenable number.

4123434132 is an abundant number, since it is smaller than the sum of its proper divisors (6496358688).

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

4123434132 is a wasteful number, since it uses less digits than its factorization.

4123434132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161192 (or 2161187 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4123434132 is about 64213.9714703895. The cubic root of 4123434132 is about 1603.5642069765.

Adding to 4123434132 its reverse (2314343214), we get a palindrome (6437777346).

The spelling of 4123434132 in words is "four billion, one hundred twenty-three million, four hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2161129 4322258 6483387 8644516 12966774 19450161 25933548 38900322 77800644 114539837 229079674 343619511 458159348 687239022 1030858533 1374478044 2061717066 4123434132