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144304444403441 = 760913384488693
BaseRepresentation
bin100000110011111001111111…
…001001011110111011110001
3200220221100222211210100122022
4200303321333021132323301
5122403241000231402231
61230524314021121225
742252436441031150
oct4063717711367361
9626840884710568
10144304444403441
1141a86197947203
1214227202559215
136269b0a04694a
14278c52db25597
1511a3a52e10c7b
hex833e7f25eef1

144304444403441 has 8 divisors (see below), whose sum is σ = 164946440990784. Its totient is φ = 123669216805680.

The previous prime is 144304444403423. The next prime is 144304444403467.

144304444403441 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-144304444403441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144304444403392 and 144304444403401.

It is not an unprimeable number, because it can be changed into a prime (144304444403411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1692201710 + ... + 1692286983.

It is an arithmetic number, because the mean of its divisors is an integer number (20618305123848).

Almost surely, 2144304444403441 is an apocalyptic number.

It is an amenable number.

144304444403441 is a deficient number, since it is larger than the sum of its proper divisors (20641996587343).

144304444403441 is an equidigital number, since it uses as much as digits as its factorization.

144304444403441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384494791.

The product of its (nonzero) digits is 2359296, while the sum is 44.

The spelling of 144304444403441 in words is "one hundred forty-four trillion, three hundred four billion, four hundred forty-four million, four hundred three thousand, four hundred forty-one".

Divisors: 1 7 6091 42637 3384488693 23691420851 20614920629063 144304444403441