Search a number
BaseRepresentation
bin10001001110000…
…00010001001000
3101001210102210000
420213000101020
5243434124230
622155523000
73402511662
oct1047002110
9331712700
10144442440
117459681a
1240459460
1323c043cc
141527d532
15ca32b60
hex89c0448

144442440 has 160 divisors (see below), whose sum is σ = 491139000. Its totient is φ = 38071296.

The previous prime is 144442433. The next prime is 144442451. The reversal of 144442440 is 44244441.

Adding to 144442440 its reverse (44244441), we get a palindrome (188686881).

It can be written as a sum of positive squares in 4 ways, for example, as 142420356 + 2022084 = 11934^2 + 1422^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 352956 + ... + 353364.

Almost surely, 2144442440 is an apocalyptic number.

144442440 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 144442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245569500).

144442440 is an abundant number, since it is smaller than the sum of its proper divisors (346696560).

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

144442440 is a wasteful number, since it uses less digits than its factorization.

144442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 144442440 is about 12018.4208613278. The cubic root of 144442440 is about 524.6845451857.

The spelling of 144442440 in words is "one hundred forty-four million, four hundred forty-two thousand, four hundred forty".