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144101441 = 1121319091
BaseRepresentation
bin10001001011011…
…01000001000001
3101001011010000102
420211231001001
5243342221231
622144332145
73366561551
oct1045550101
9331133012
10144101441
1174383600
1240314055
1323b15133
14151d1161
15c9b6acb
hex896d041

144101441 has 12 divisors (see below), whose sum is σ = 159619152. Its totient is φ = 129987000.

The previous prime is 144101437. The next prime is 144101443.

It is a happy number.

144101441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144101441 - 22 = 144101437 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144101443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11306 + ... + 20396.

It is an arithmetic number, because the mean of its divisors is an integer number (13301596).

Almost surely, 2144101441 is an apocalyptic number.

144101441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144101441 is a deficient number, since it is larger than the sum of its proper divisors (15517711).

144101441 is a wasteful number, since it uses less digits than its factorization.

144101441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 144101441 is about 12004.2259642178. The cubic root of 144101441 is about 524.2713289464.

It can be divided in two parts, 14410 and 1441, that added together give a palindrome (15851).

The spelling of 144101441 in words is "one hundred forty-four million, one hundred one thousand, four hundred forty-one".

Divisors: 1 11 121 131 1441 9091 15851 100001 1100011 1190921 13100131 144101441