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42244142144 = 26837952587
BaseRepresentation
bin100111010101111100…
…100111010001000000
311001001001210202210012
4213111330213101000
51143004000022034
631223502324052
73023564166161
oct472574472100
9131031722705
1042244142144
1116a08798276
12822b589628
133ca2c9ac19
14208a659768
151173a22cce
hex9d5f27440

42244142144 has 28 divisors (see below), whose sum is σ = 84838208784. Its totient is φ = 20867585664.

The previous prime is 42244142111. The next prime is 42244142179. The reversal of 42244142144 is 44124144224.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 42244142144.

It is an unprimeable number.

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, 3970982 + ... + 3981605.

It is an arithmetic number, because the mean of its divisors is an integer number (3029936028).

Almost surely, 242244142144 is an apocalyptic number.

It is an amenable number.

42244142144 is an abundant number, since it is smaller than the sum of its proper divisors (42594066640).

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

42244142144 is an equidigital number, since it uses as much as digits as its factorization.

42244142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7952682 (or 7952672 counting only the distinct ones).

The product of its digits is 32768, while the sum is 32.

Adding to 42244142144 its reverse (44124144224), we get a palindrome (86368286368).

The spelling of 42244142144 in words is "forty-two billion, two hundred forty-four million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 1328 2656 5312 7952587 15905174 31810348 63620696 127241392 254482784 508965568 660064721 1320129442 2640258884 5280517768 10561035536 21122071072 42244142144