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144144040 = 2355416661
BaseRepresentation
bin10001001011101…
…11011010101000
3101001020021110011
420211313122220
5243400102130
622145301304
73400130005
oct1045673250
9331207404
10144144040
1174402607
1240334834
1323b2b641
14152028ac
15c9c452a
hex89776a8

144144040 has 32 divisors (see below), whose sum is σ = 324972360. Its totient is φ = 57542400.

The previous prime is 144144031. The next prime is 144144053. The reversal of 144144040 is 40441441.

It is a happy number.

144144040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 135629316 + 8514724 = 11646^2 + 2918^2 .

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, 18310 + ... + 24970.

Almost surely, 2144144040 is an apocalyptic number.

144144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144144040 is an abundant number, since it is smaller than the sum of its proper divisors (180828320).

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

144144040 is a wasteful number, since it uses less digits than its factorization.

144144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 144144040 is about 12006.0001665834. Note that the first 3 decimals coincide. The cubic root of 144144040 is about 524.3229852283.

Adding to 144144040 its reverse (40441441), we get a palindrome (184585481).

The spelling of 144144040 in words is "one hundred forty-four million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 541 1082 2164 2705 4328 5410 6661 10820 13322 21640 26644 33305 53288 66610 133220 266440 3603601 7207202 14414404 18018005 28828808 36036010 72072020 144144040