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144341541220 = 22518014007261
BaseRepresentation
bin1000011001101101101…
…1010010000101100100
3111210120102002000200011
42012123123102011210
54331102413304340
6150150512100004
713266626566612
oct2063333220544
9453512060604
10144341541220
1156240045338
1223b83834604
13107c41976b6
146db408a6b2
153b4be5e0ea
hex219b6d2164

144341541220 has 24 divisors (see below), whose sum is σ = 303285617208. Its totient is φ = 57704544000.

The previous prime is 144341541191. The next prime is 144341541221. The reversal of 144341541220 is 22145143441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2562181924 + 141779359296 = 50618^2 + 376536^2 .

It is not an unprimeable number, because it can be changed into a prime (144341541221) 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, 1967611 + ... + 2039650.

It is an arithmetic number, because the mean of its divisors is an integer number (12636900717).

Almost surely, 2144341541220 is an apocalyptic number.

144341541220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144341541220 is an abundant number, since it is smaller than the sum of its proper divisors (158944075988).

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

144341541220 is a wasteful number, since it uses less digits than its factorization.

144341541220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009071 (or 4009069 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 144341541220 its reverse (22145143441), we get a palindrome (166486684661).

The spelling of 144341541220 in words is "one hundred forty-four billion, three hundred forty-one million, five hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1801 3602 7204 9005 18010 36020 4007261 8014522 16029044 20036305 40072610 80145220 7217077061 14434154122 28868308244 36085385305 72170770610 144341541220