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144256265344 = 271995663327
BaseRepresentation
bin1000011001011001010…
…1111110110010000000
3111210100110121120011101
42012112111332302000
54330414100442334
6150134224224144
713264543011112
oct2062625766200
9453313546141
10144256265344
11561a69a0304
1223b5b16b054
13107ac60aab9
146da6a0d3b2
153b44717214
hex219657ec80

144256265344 has 32 divisors (see below), whose sum is σ = 288829728000. Its totient is φ = 71765667072.

The previous prime is 144256265299. The next prime is 144256265353. The reversal of 144256265344 is 443562652441.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 144256265294 and 144256265303.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2806192 + ... + 2857135.

It is an arithmetic number, because the mean of its divisors is an integer number (9025929000).

Almost surely, 2144256265344 is an apocalyptic number.

It is an amenable number.

144256265344 is an abundant number, since it is smaller than the sum of its proper divisors (144573462656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144256265344 is an equidigital number, since it uses as much as digits as its factorization.

144256265344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663540 (or 5663528 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 46.

It can be divided in two parts, 144256 and 265344, that added together give a square (409600 = 6402).

The spelling of 144256265344 in words is "one hundred forty-four billion, two hundred fifty-six million, two hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 199 398 796 1592 3184 6368 12736 25472 5663327 11326654 22653308 45306616 90613232 181226464 362452928 724905856 1127002073 2254004146 4508008292 9016016584 18032033168 36064066336 72128132672 144256265344