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34024256144 = 2417125089177
BaseRepresentation
bin11111101100000000…
…001111001010010000
310020211012122021222222
4133230000033022100
51024140202144034
623344105520212
72313103256024
oct375400171220
9106735567888
1034024256144
111347a89525a
1267167a3068
13329302a258
14190aab4384
15d4209112e
hex7ec00f290

34024256144 has 20 divisors (see below), whose sum is σ = 69799761324. Its totient is φ = 16011414528.

The previous prime is 34024256143. The next prime is 34024256207. The reversal of 34024256144 is 44165242043.

It can be written as a sum of positive squares in 2 ways, for example, as 24442195600 + 9582060544 = 156340^2 + 97888^2 .

It is not an unprimeable number, because it can be changed into a prime (34024256143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62544317 + ... + 62544860.

Almost surely, 234024256144 is an apocalyptic number.

34024256144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34024256144 is an abundant number, since it is smaller than the sum of its proper divisors (35775505180).

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

34024256144 is a wasteful number, since it uses less digits than its factorization.

34024256144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125089202 (or 125089196 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 34024256144 its reverse (44165242043), we get a palindrome (78189498187).

The spelling of 34024256144 in words is "thirty-four billion, twenty-four million, two hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 125089177 250178354 500356708 1000713416 2001426832 2126516009 4253032018 8506064036 17012128072 34024256144