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42444442001 = 1318461176857
BaseRepresentation
bin100111100001111000…
…101100100110010001
311001120000201001112102
4213201320230212101
51143411234121001
631255415410145
73031545542603
oct474170544621
9131500631472
1042444442001
1117000865545
128286683955
13400562b850
1420a90b9173
1511863dae6b
hex9e1e2c991

42444442001 has 8 divisors (see below), whose sum is σ = 45712133544. Its totient is φ = 39177141120.

The previous prime is 42444441979. The next prime is 42444442031. The reversal of 42444442001 is 10024444424.

It can be written as a sum of positive squares in 4 ways, for example, as 2043040000 + 40401402001 = 45200^2 + 201001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-42444442001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42444442031) 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 7 ways as a sum of consecutive naturals, for example, 151565 + ... + 328421.

It is an arithmetic number, because the mean of its divisors is an integer number (5714016693).

Almost surely, 242444442001 is an apocalyptic number.

It is an amenable number.

42444442001 is a deficient number, since it is larger than the sum of its proper divisors (3267691543).

42444442001 is a wasteful number, since it uses less digits than its factorization.

42444442001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195331.

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 42444442001 its reverse (10024444424), we get a palindrome (52468886425).

The spelling of 42444442001 in words is "forty-two billion, four hundred forty-four million, four hundred forty-two thousand, one".

Divisors: 1 13 18461 176857 239993 2299141 3264957077 42444442001