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144353353441 = 113307541653
BaseRepresentation
bin1000011001110000100…
…0010101111011100001
3111210121020022010222211
42012130020111323201
54331113424302231
6150152013202121
713300132154563
oct2063410257341
9453536263884
10144353353441
1156246783000
1223b87790341
13107c677208b
146db5883333
153b4cee3eb1
hex219c215ee1

144353353441 has 32 divisors (see below), whose sum is σ = 159833874816. Its totient is φ = 130361140800.

The previous prime is 144353353439. The next prime is 144353353483.

144353353441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144353353441 - 21 = 144353353439 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 144353353394 and 144353353403.

It is not an unprimeable number, because it can be changed into a prime (144353350441) 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 31 ways as a sum of consecutive naturals, for example, 221061471 + ... + 221062123.

It is an arithmetic number, because the mean of its divisors is an integer number (4994808588).

Almost surely, 2144353353441 is an apocalyptic number.

144353353441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144353353441 is a deficient number, since it is larger than the sum of its proper divisors (15480521375).

144353353441 is an equidigital number, since it uses as much as digits as its factorization.

144353353441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1512 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 144353 and 353441, that added together give a palindrome (497794).

The spelling of 144353353441 in words is "one hundred forty-four billion, three hundred fifty-three million, three hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 11 121 307 541 653 1331 3377 5951 7183 37147 65461 79013 166087 200471 353273 408617 720071 869143 1826957 2205181 3886003 20096527 24256991 42746033 108454811 221061797 266826901 470206363 1193002921 13123032131 144353353441