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144397793441 = 1141443722737
BaseRepresentation
bin1000011001111011000…
…1110111100010100001
3111210201022220221012202
42012132301313202201
54331211313342231
6150200241502545
713301211664346
oct2063661674241
9453638827182
10144397793441
1156269876480
1223b9a641a55
1310802a31835
146dbb7307cd
153b51d715cb
hex219ec778a1

144397793441 has 16 divisors (see below), whose sum is σ = 161731418688. Its totient is φ = 127779724800.

The previous prime is 144397793437. The next prime is 144397793461.

144397793441 is nontrivially palindromic in base 10.

144397793441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 144397793441 - 22 = 144397793437 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144397793461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161576 + ... + 561161.

It is an arithmetic number, because the mean of its divisors is an integer number (10108213668).

Almost surely, 2144397793441 is an apocalyptic number.

144397793441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144397793441 is a deficient number, since it is larger than the sum of its proper divisors (17333625247).

144397793441 is a wasteful number, since it uses less digits than its factorization.

144397793441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723232.

The product of its digits is 9144576, while the sum is 56.

The spelling of 144397793441 in words is "one hundred forty-four billion, three hundred ninety-seven million, seven hundred ninety-three thousand, four hundred forty-one".

Divisors: 1 11 41 443 451 4873 18163 199793 722737 7950107 29632217 320172491 325954387 3521897401 13127072131 144397793441