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144243040 = 2556114779
BaseRepresentation
bin10001001100011…
…11100101100000
3101001102022020211
420212033211200
5243411234130
622151343504
73401021434
oct1046174540
9331368224
10144243040
117446aa27
1240381b94
1323b64716
141522a9c4
15c9e3a2a
hex898f960

144243040 has 48 divisors (see below), whose sum is σ = 346384080. Its totient is φ = 56747520.

The previous prime is 144243017. The next prime is 144243059. The reversal of 144243040 is 40342441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2371 + ... + 17149.

It is an arithmetic number, because the mean of its divisors is an integer number (7216335).

Almost surely, 2144243040 is an apocalyptic number.

144243040 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 144243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173192040).

144243040 is an abundant number, since it is smaller than the sum of its proper divisors (202141040).

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

144243040 is a wasteful number, since it uses less digits than its factorization.

144243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14855 (or 14847 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 144243040 is about 12010.1223973780. The cubic root of 144243040 is about 524.4429950379.

Adding to 144243040 its reverse (40342441), we get a palindrome (184585481).

The spelling of 144243040 in words is "one hundred forty-four million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 14779 29558 59116 73895 118232 147790 236464 295580 472928 591160 901519 1182320 1803038 2364640 3606076 4507595 7212152 9015190 14424304 18030380 28848608 36060760 72121520 144243040