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144548040 = 233572133161
BaseRepresentation
bin10001001110110…
…10000011001000
3101001222210122010
420213122003020
5244001014130
622202055520
73403431600
oct1047320310
9331883563
10144548040
117465909a
12404aa5a0
1323c404b0
14152a9c00
15ca540b0
hex89da0c8

144548040 has 384 divisors, whose sum is σ = 569963520. Its totient is φ = 29030400.

The previous prime is 144548039. The next prime is 144548057. The reversal of 144548040 is 40845441.

144548040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144547989 and 144548007.

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 95 ways as a sum of consecutive naturals, for example, 2369610 + ... + 2369670.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2144548040 is an apocalyptic number.

144548040 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 144548040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

144548040 is an abundant number, since it is smaller than the sum of its proper divisors (425415480).

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

144548040 is a wasteful number, since it uses less digits than its factorization.

144548040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 144548040 is about 12022.8133146947. The cubic root of 144548040 is about 524.8123774005.

The spelling of 144548040 in words is "one hundred forty-four million, five hundred forty-eight thousand, forty".