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4000042144 = 25717857331
BaseRepresentation
bin1110111001101011…
…1100110010100000
3101022202210012021001
43232122330302200
531143002322034
61500530441344
7201060540310
oct35632746240
911282705231
104000042144
111772a1295a
12937733254
134b9937957
1429d365440
15186282a14
hexee6bcca0

4000042144 has 24 divisors (see below), whose sum is σ = 9000095328. Its totient is φ = 1714303680.

The previous prime is 4000042133. The next prime is 4000042147. The reversal of 4000042144 is 4412400004.

It is a super-2 number, since 2×40000421442 = 32000674307552233472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4000042147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8928442 + ... + 8928889.

It is an arithmetic number, because the mean of its divisors is an integer number (375003972).

Almost surely, 24000042144 is an apocalyptic number.

It is an amenable number.

4000042144 is an abundant number, since it is smaller than the sum of its proper divisors (5000053184).

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

4000042144 is a wasteful number, since it uses less digits than its factorization.

4000042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17857348 (or 17857340 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 4000042144 is about 63245.8863800643. The cubic root of 4000042144 is about 1587.4066269011.

Adding to 4000042144 its reverse (4412400004), we get a palindrome (8412442148).

The spelling of 4000042144 in words is "four billion, forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 17857331 35714662 71429324 125001317 142858648 250002634 285717296 500005268 571434592 1000010536 2000021072 4000042144