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144434421141 = 31922720035573
BaseRepresentation
bin1000011010000011110…
…1100101110110010101
3111210210212211210222020
42012200331211312111
54331300202434031
6150204030523353
713302135215553
oct2064075456625
9453725753866
10144434421141
11562885133aa
1223baa966559
131080a4b742a
146dc2546bd3
153b551a9096
hex21a0f65d95

144434421141 has 32 divisors (see below), whose sum is σ = 203746199040. Its totient is φ = 90758251584.

The previous prime is 144434421139. The next prime is 144434421203. The reversal of 144434421141 is 141124434441.

144434421141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144434421141 - 21 = 144434421139 is a prime.

It is a super-2 number, since 2×1444344211412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144434421041) 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 31 ways as a sum of consecutive naturals, for example, 25914031 + ... + 25919603.

It is an arithmetic number, because the mean of its divisors is an integer number (6367068720).

Almost surely, 2144434421141 is an apocalyptic number.

It is an amenable number.

144434421141 is a deficient number, since it is larger than the sum of its proper divisors (59311777899).

144434421141 is a wasteful number, since it uses less digits than its factorization.

144434421141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825.

The product of its digits is 24576, while the sum is 33.

Adding to 144434421141 its reverse (141124434441), we get a palindrome (285558855582).

The spelling of 144434421141 in words is "one hundred forty-four billion, four hundred thirty-four million, four hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 19 57 227 681 2003 4313 5573 6009 12939 16719 38057 105887 114171 317661 454681 1265071 1364043 3795213 8638939 11162719 24036349 25916817 33488157 72109047 212091661 636274983 2533937213 7601811639 48144807047 144434421141