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144321123441 = 311314127112697
BaseRepresentation
bin1000011001101000110…
…1011001010001110001
3111210111222122200202010
42012122031121101301
54331032201422231
6150144502313133
713266261210555
oct2063215312161
9453458580663
10144321123441
115622a56a140
1223b78a287a9
13107bcb99081
146db1493865
153b4a279546
hex219a359471

144321123441 has 64 divisors (see below), whose sum is σ = 222815158272. Its totient is φ = 82270080000.

The previous prime is 144321123403. The next prime is 144321123469.

It is a happy number.

144321123441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144321123441 - 229 = 143784252529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144321123399 and 144321123408.

It is not an unprimeable number, because it can be changed into a prime (144321123491) 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 63 ways as a sum of consecutive naturals, for example, 11360205 + ... + 11372901.

It is an arithmetic number, because the mean of its divisors is an integer number (3481486848).

Almost surely, 2144321123441 is an apocalyptic number.

144321123441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144321123441 is a deficient number, since it is larger than the sum of its proper divisors (78494034831).

144321123441 is a wasteful number, since it uses less digits than its factorization.

144321123441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13054.

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

It can be divided in two parts, 144321 and 123441, that added together give a palindrome (267762).

The spelling of 144321123441 in words is "one hundred forty-four billion, three hundred twenty-one million, one hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 3 11 31 33 41 93 123 271 341 451 813 1023 1271 1353 2981 3813 8401 8943 11111 12697 13981 25203 33333 38091 41943 92411 122221 139667 277233 344441 366663 393607 419001 520577 1033323 1180821 1561731 3440887 3788851 4329677 5726347 10322661 11366553 12989031 16137887 17179041 37849757 48413661 106667497 113549271 141076367 177516757 320002491 423229101 532550271 1173342467 1551840037 3520027401 4373367377 4655520111 13120102131 48107041147 144321123441