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144121431421 = 11149393122369
BaseRepresentation
bin1000011000111001001…
…1101000010101111101
3111210000001220021210101
42012032103220111331
54330130041301141
6150113010241101
713261314645232
oct2061623502575
9453001807711
10144121431421
1156137877610
1223b21b86191
131078a6bc006
146d92b51789
153b37981531
hex218e4e857d

144121431421 has 16 divisors (see below), whose sum is σ = 158325912000. Its totient is φ = 130101235200.

The previous prime is 144121431397. The next prime is 144121431473. The reversal of 144121431421 is 124134121441.

It is a happy number.

144121431421 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 a de Polignac number, because none of the positive numbers 2k-144121431421 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144121431421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144121431491) 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, 6431725 + ... + 6454093.

It is an arithmetic number, because the mean of its divisors is an integer number (9895369500).

Almost surely, 2144121431421 is an apocalyptic number.

144121431421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144121431421 is a deficient number, since it is larger than the sum of its proper divisors (14204480579).

144121431421 is a wasteful number, since it uses less digits than its factorization.

144121431421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26460.

The product of its digits is 3072, while the sum is 28.

Adding to 144121431421 its reverse (124134121441), we get a palindrome (268255552862).

The spelling of 144121431421 in words is "one hundred forty-four billion, one hundred twenty-one million, four hundred thirty-one thousand, four hundred twenty-one".

Divisors: 1 11 149 1639 3931 22369 43241 246059 585719 3332981 6442909 36662791 87932539 967257929 13101948311 144121431421