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144332414144 = 2641179307289
BaseRepresentation
bin1000011001101011100…
…0011101110011000000
3111210112202220022200022
42012122320131303000
54331043044223034
6150145544313012
713266456164222
oct2063270356300
9453482808608
10144332414144
1156235980aa6
1223b80772768
13107c2320269
146db2b92412
153b4b259b2e
hex219ae1dcc0

144332414144 has 56 divisors (see below), whose sum is σ = 295035274800. Its totient is φ = 70012497920.

The previous prime is 144332414129. The next prime is 144332414227. The reversal of 144332414144 is 441414233441.

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 7 ways as a sum of consecutive naturals, for example, 316052 + ... + 623340.

It is an arithmetic number, because the mean of its divisors is an integer number (5268487050).

Almost surely, 2144332414144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144332414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147517637400).

144332414144 is an abundant number, since it is smaller than the sum of its proper divisors (150702860656).

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

144332414144 is a wasteful number, since it uses less digits than its factorization.

144332414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307521 (or 307511 counting only the distinct ones).

The product of its digits is 73728, while the sum is 35.

Adding to 144332414144 its reverse (441414233441), we get a palindrome (585746647585).

The spelling of 144332414144 in words is "one hundred forty-four billion, three hundred thirty-two million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 179 328 358 656 716 1312 1432 2624 2864 5728 7339 11456 14678 29356 58712 117424 234848 307289 469696 614578 1229156 2458312 4916624 9833248 12598849 19666496 25197698 50395396 55004731 100790792 110009462 201581584 220018924 403163168 440037848 806326336 880075696 1760151392 2255193971 3520302784 4510387942 9020775884 18041551768 36083103536 72166207072 144332414144