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2442414132 = 223267844837
BaseRepresentation
bin1001000110010100…
…0100100000110100
320022012211111022200
42101211010200310
520000224223012
61042205224500
7114345114624
oct22145044064
96265744280
102442414132
111043751984
12581b62130
132cc019282
14192540884
15e46533dc
hex91944834

2442414132 has 18 divisors (see below), whose sum is σ = 6173880258. Its totient is φ = 814138032.

The previous prime is 2442414113. The next prime is 2442414151. The reversal of 2442414132 is 2314142442.

2442414132 is a `hidden beast` number, since 2 + 4 + 4 + 241 + 413 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2442414113) and next prime (2442414151).

It can be written as a sum of positive squares in only one way, i.e., 1511187876 + 931226256 = 38874^2 + 30516^2 .

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 = 2442414096 and 2442414105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33922383 + ... + 33922454.

Almost surely, 22442414132 is an apocalyptic number.

It is an amenable number.

2442414132 is an abundant number, since it is smaller than the sum of its proper divisors (3731466126).

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

2442414132 is a wasteful number, since it uses less digits than its factorization.

2442414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67844847 (or 67844842 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2442414132 is about 49420.7864364783. The cubic root of 2442414132 is about 1346.7069499381.

Adding to 2442414132 its reverse (2314142442), we get a palindrome (4756556574).

The spelling of 2442414132 in words is "two billion, four hundred forty-two million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67844837 135689674 203534511 271379348 407069022 610603533 814138044 1221207066 2442414132