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144413776 = 24131740841
BaseRepresentation
bin10001001101110…
…01010001010000
3101001201222110101
420212321101100
5243432220101
622155142144
73402332263
oct1046712120
9331658411
10144413776
1174577231
1240444954
1323bc4350
1415272cda
15ca29401
hex89b9450

144413776 has 40 divisors (see below), whose sum is σ = 319057704. Its totient is φ = 62730240.

The previous prime is 144413747. The next prime is 144413807. The reversal of 144413776 is 677314441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45212176 + 99201600 = 6724^2 + 9960^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16885 + ... + 23956.

Almost surely, 2144413776 is an apocalyptic number.

144413776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144413776 is an abundant number, since it is smaller than the sum of its proper divisors (174643928).

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

144413776 is a wasteful number, since it uses less digits than its factorization.

144413776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40879 (or 40873 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 144413776 is about 12017.2282994042. The cubic root of 144413776 is about 524.6498357361.

The spelling of 144413776 in words is "one hundred forty-four million, four hundred thirteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 40841 81682 163364 326728 530933 653456 694297 1061866 1388594 2123732 2777188 4247464 5554376 8494928 9025861 11108752 18051722 36103444 72206888 144413776