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144565344 = 25337114153
BaseRepresentation
bin10001001110111…
…10010001100000
3101002000200101000
420213132101200
5244002042334
622202312000
73403533210
oct1047362140
9332020330
10144565344
11746700a0
12404b8600
1323c48331
14152b2240
15ca59299
hex89de460

144565344 has 384 divisors, whose sum is σ = 548674560. Its totient is φ = 35942400.

The previous prime is 144565271. The next prime is 144565361. The reversal of 144565344 is 443565441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144565299 and 144565308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2727622 + ... + 2727674.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2144565344 is an apocalyptic number.

144565344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144565344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

144565344 is an abundant number, since it is smaller than the sum of its proper divisors (404109216).

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

144565344 is a wasteful number, since it uses less digits than its factorization.

144565344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 144565344 is about 12023.5329250599. The cubic root of 144565344 is about 524.8333185147.

The spelling of 144565344 in words is "one hundred forty-four million, five hundred sixty-five thousand, three hundred forty-four".