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144132231441 = 3115780975553
BaseRepresentation
bin1000011000111011110…
…0110101000100010001
3111210000211012222122010
42012032330311010101
54330140322401231
6150114033533133
713261505516202
oct2061674650421
9453024188563
10144132231441
1156142983850
1223b257141a9
131078ca00a63
146d943635a9
153b388b6546
hex218ef35111

144132231441 has 16 divisors (see below), whose sum is σ = 209653283520. Its totient is φ = 87350200320.

The previous prime is 144132231413. The next prime is 144132231553.

It is a happy number.

144132231441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144132231441 - 25 = 144132231409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144132231399 and 144132231408.

It is not an unprimeable number, because it can be changed into a prime (144132231041) 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 15 ways as a sum of consecutive naturals, for example, 1869921 + ... + 1945473.

It is an arithmetic number, because the mean of its divisors is an integer number (13103330220).

Almost surely, 2144132231441 is an apocalyptic number.

144132231441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144132231441 is a deficient number, since it is larger than the sum of its proper divisors (65521052079).

144132231441 is a wasteful number, since it uses less digits than its factorization.

144132231441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133376.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 144132 and 231441, that added together give a palindrome (375573).

The spelling of 144132231441 in words is "one hundred forty-four billion, one hundred thirty-two million, two hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 11 33 57809 75553 173427 226659 635899 831083 1907697 2493249 4367643377 13102930131 48044077147 144132231441