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241212144 = 24319264487
BaseRepresentation
bin11100110000010…
…01101011110000
3121210212211212010
432120021223300
5443222242034
635534002520
75656161255
oct1630115360
9553784763
10241212144
11114181288
1268946440
133ac867a4
142406d42c
151629a3e9
hexe609af0

241212144 has 40 divisors (see below), whose sum is σ = 655930240. Its totient is φ = 76171968.

The previous prime is 241212089. The next prime is 241212151. The reversal of 241212144 is 441212142.

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

It is a self number, because there is not a number n which added to its sum of digits gives 241212144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131332 + ... + 133155.

It is an arithmetic number, because the mean of its divisors is an integer number (16398256).

Almost surely, 2241212144 is an apocalyptic number.

241212144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241212144 is an abundant number, since it is smaller than the sum of its proper divisors (414718096).

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

241212144 is a wasteful number, since it uses less digits than its factorization.

241212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264517 (or 264511 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 241212144 is about 15531.0058914418. The cubic root of 241212144 is about 622.4909706598.

Adding to 241212144 its reverse (441212142), we get a palindrome (682424286).

The spelling of 241212144 in words is "two hundred forty-one million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 264487 528974 793461 1057948 1586922 2115896 3173844 4231792 5025253 6347688 10050506 12695376 15075759 20101012 30151518 40202024 60303036 80404048 120606072 241212144