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239142144 = 2831013083
BaseRepresentation
bin11100100000100…
…00010100000000
3121122222200100110
432100100110000
5442210022034
635421351320
75632450263
oct1620202400
9548880313
10239142144
11112a9803a
1268108540
133a710537
1423a90cda
1515edbde9
hexe410500

239142144 has 72 divisors (see below), whose sum is σ = 642976992. Its totient is φ = 78899200.

The previous prime is 239142139. The next prime is 239142193. The reversal of 239142144 is 441241932.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76027 + ... + 79109.

It is an arithmetic number, because the mean of its divisors is an integer number (8930236).

Almost surely, 2239142144 is an apocalyptic number.

239142144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321488496).

239142144 is an abundant number, since it is smaller than the sum of its proper divisors (403834848).

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

239142144 is a wasteful number, since it uses less digits than its factorization.

239142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3189 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 239142144 is about 15464.2214159006. The cubic root of 239142144 is about 620.7051844425.

The spelling of 239142144 in words is "two hundred thirty-nine million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 606 768 808 1212 1616 2424 3083 3232 4848 6166 6464 9249 9696 12332 12928 18498 19392 24664 25856 36996 38784 49328 73992 77568 98656 147984 197312 295968 311383 394624 591936 622766 789248 934149 1183872 1245532 1868298 2367744 2491064 3736596 4982128 7473192 9964256 14946384 19928512 29892768 39857024 59785536 79714048 119571072 239142144