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144016610441 = 113315959159
BaseRepresentation
bin1000011000100000001…
…1110001010010001001
3111202201202122211102212
42012020003301102021
54324421223013231
6150054343434505
713255602663554
oct2061003612211
9452652584385
10144016610441
1156093693000
1223ab2a55a35
1310771a7b072
146d82c6769b
153b2d67842b
hex21880f1489

144016610441 has 32 divisors (see below), whose sum is σ = 166291660800. Its totient is φ = 124551253200.

The previous prime is 144016610429. The next prime is 144016610453.

144016610441 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (144016610429) and next prime (144016610453).

It is not a de Polignac number, because 144016610441 - 210 = 144016609417 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144016610398 and 144016610407.

It is not an unprimeable number, because it can be changed into a prime (144016610741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2404820 + ... + 2463978.

It is an arithmetic number, because the mean of its divisors is an integer number (5196614400).

Almost surely, 2144016610441 is an apocalyptic number.

144016610441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144016610441 is a deficient number, since it is larger than the sum of its proper divisors (22275050359).

144016610441 is an equidigital number, since it uses as much as digits as its factorization.

144016610441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59282 (or 59260 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 144016 and 610441, that added together give a palindrome (754457).

The spelling of 144016610441 in words is "one hundred forty-four billion, sixteen million, six hundred ten thousand, four hundred forty-one".

Divisors: 1 11 31 59 121 341 649 1331 1829 3751 7139 20119 41261 59159 78529 221309 650749 1833929 2434399 3490381 7158239 20173219 38394191 78740629 108201811 221905409 422336101 1190219921 2440959499 4645697111 13092419131 144016610441