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144042240441 = 31110740793611
BaseRepresentation
bin1000011000100110010…
…1100010100110111001
3111202210112212222012010
42012021211202212321
54324444303143231
6150101101040133
713256333561601
oct2061145424671
9452715788163
10144042240441
11560a70a9220
1223abb556049
1310777182c48
146d86419c01
153b30a3c546
hex21899629b9

144042240441 has 16 divisors (see below), whose sum is σ = 211474084608. Its totient is φ = 86482453200.

The previous prime is 144042240437. The next prime is 144042240443.

144042240441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144042240441 - 22 = 144042240437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144042240399 and 144042240408.

It is not an unprimeable number, because it can be changed into a prime (144042240443) 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, 20393275 + ... + 20400336.

It is an arithmetic number, because the mean of its divisors is an integer number (13217130288).

Almost surely, 2144042240441 is an apocalyptic number.

144042240441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144042240441 is a deficient number, since it is larger than the sum of its proper divisors (67431844167).

144042240441 is a wasteful number, since it uses less digits than its factorization.

144042240441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40793732.

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 144042 and 240441, that added together give a palindrome (384483).

The spelling of 144042240441 in words is "one hundred forty-four billion, forty-two million, two hundred forty thousand, four hundred forty-one".

Divisors: 1 3 11 33 107 321 1177 3531 40793611 122380833 448729721 1346189163 4364916377 13094749131 48014080147 144042240441