Search a number
-
+
144504360 = 2332571113401
BaseRepresentation
bin10001001110011…
…11011000101000
3101001220120201100
420213033120220
5243443114420
622201121400
73403160340
oct1047173050
9331816640
10144504360
11746292a0
1240489260
1323c26650
1415297d20
15ca46190
hex89cf628

144504360 has 384 divisors, whose sum is σ = 632136960. Its totient is φ = 27648000.

The previous prime is 144504307. The next prime is 144504391. The reversal of 144504360 is 63405441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360160 + ... + 360560.

It is an arithmetic number, because the mean of its divisors is an integer number (1646190).

Almost surely, 2144504360 is an apocalyptic number.

144504360 is a gapful number since it is divisible by the number (10) 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 144504360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316068480).

144504360 is an abundant number, since it is smaller than the sum of its proper divisors (487632600).

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

144504360 is a wasteful number, since it uses less digits than its factorization.

144504360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 144504360 is about 12020.9966308955. The cubic root of 144504360 is about 524.7595089007.

The spelling of 144504360 in words is "one hundred forty-four million, five hundred four thousand, three hundred sixty".