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144442001433201 = 3313741976751361
BaseRepresentation
bin100000110101111010000110…
…001011111010001001110001
3200221102112001102121111020020
4200311322012023322021301
5122413014204331330301
61231111423413434053
742265406306345223
oct4065720613721161
9627375042544206
10144442001433201
114202956623967a
12142499b203b929
136279a8c756504
14279505cb0a413
1511a740441e436
hex835e862fa271

144442001433201 has 16 divisors (see below), whose sum is σ = 204174918624768. Its totient is φ = 90669782937600.

The previous prime is 144442001433187. The next prime is 144442001433311. The reversal of 144442001433201 is 102334100244441.

It is a happy number.

It is not a de Polignac number, because 144442001433201 - 26 = 144442001433137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144442001433901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20988372240 + ... + 20988379121.

It is an arithmetic number, because the mean of its divisors is an integer number (12760932414048).

Almost surely, 2144442001433201 is an apocalyptic number.

It is an amenable number.

144442001433201 is a deficient number, since it is larger than the sum of its proper divisors (59732917191567).

144442001433201 is a wasteful number, since it uses less digits than its factorization.

144442001433201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41976751432.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 144442001433201 its reverse (102334100244441), we get a palindrome (246776101677642).

The spelling of 144442001433201 in words is "one hundred forty-four trillion, four hundred forty-two billion, one million, four hundred thirty-three thousand, two hundred one".

Divisors: 1 3 31 37 93 111 1147 3441 41976751361 125930254083 1301279292191 1553139800357 3903837876573 4659419401071 48147333811067 144442001433201