Search a number
-
+
144232232441 = 113472305613
BaseRepresentation
bin1000011001010011101…
…0010011010111111001
3111210021210101120012212
42012110322103113321
54330341422414231
6150132005144505
713264131514253
oct2062472232771
9453253346185
10144232232441
1156194376000
1223b530bb135
13107a7644b4b
146da3754cd3
153b4256b42b
hex2194e935f9

144232232441 has 16 divisors (see below), whose sum is σ = 162020107008. Its totient is φ = 128330363920.

The previous prime is 144232232377. The next prime is 144232232461.

It is a happy number.

144232232441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144232232441 - 26 = 144232232377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144232232398 and 144232232407.

It is not an unprimeable number, because it can be changed into a prime (144232232461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1090250 + ... + 1215363.

It is an arithmetic number, because the mean of its divisors is an integer number (10126256688).

Almost surely, 2144232232441 is an apocalyptic number.

144232232441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144232232441 is a deficient number, since it is larger than the sum of its proper divisors (17787874567).

144232232441 is an equidigital number, since it uses as much as digits as its factorization.

144232232441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305693 (or 2305671 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 144232 and 232441, that added together give a palindrome (376673).

The spelling of 144232232441 in words is "one hundred forty-four billion, two hundred thirty-two million, two hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 11 47 121 517 1331 5687 62557 2305613 25361743 108363811 278979173 1192001921 3068770903 13112021131 144232232441