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144033140 = 225291032411
BaseRepresentation
bin10001001010111…
…00010101110100
3101001000122022202
420211130111310
5243333030030
622143044032
73366155456
oct1045342564
9331018282
10144033140
1174337259
12402a0618
1323ac0014
14151b42d6
15c9a1745
hex895c574

144033140 has 48 divisors (see below), whose sum is σ = 316068480. Its totient is φ = 55063680.

The previous prime is 144033083. The next prime is 144033143. The reversal of 144033140 is 41330441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144033143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58535 + ... + 60945.

It is an arithmetic number, because the mean of its divisors is an integer number (6584760).

Almost surely, 2144033140 is an apocalyptic number.

144033140 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 144033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158034240).

144033140 is an abundant number, since it is smaller than the sum of its proper divisors (172035340).

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

144033140 is a wasteful number, since it uses less digits than its factorization.

144033140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 144033140 is about 12001.3807538966. The cubic root of 144033140 is about 524.1884847251.

Adding to 144033140 its reverse (41330441), we get a palindrome (185363581).

The spelling of 144033140 in words is "one hundred forty-four million, thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 103 116 145 206 290 412 515 580 1030 2060 2411 2987 4822 5974 9644 11948 12055 14935 24110 29870 48220 59740 69919 139838 248333 279676 349595 496666 699190 993332 1241665 1398380 2483330 4966660 7201657 14403314 28806628 36008285 72016570 144033140