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144313140 = 223517313903
BaseRepresentation
bin10001001101000…
…00101100110100
3101001112212102010
420212200230310
5243421010030
622153044220
73401433006
oct1046405464
9331485363
10144313140
1174508664
12403b6670
1323b8a5ba
1415248376
15ca096b0
hex89a0b34

144313140 has 48 divisors (see below), whose sum is σ = 406441728. Its totient is φ = 38258304.

The previous prime is 144313139. The next prime is 144313163. The reversal of 144313140 is 41313441.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3429 + ... + 17331.

It is an arithmetic number, because the mean of its divisors is an integer number (8467536).

Almost surely, 2144313140 is an apocalyptic number.

144313140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144313140 is an abundant number, since it is smaller than the sum of its proper divisors (262128588).

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

144313140 is a wasteful number, since it uses less digits than its factorization.

144313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14088 (or 14086 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 144313140 is about 12013.0404144829. The cubic root of 144313140 is about 524.5279384779.

Adding to 144313140 its reverse (41313441), we get a palindrome (185626581).

It can be divided in two parts, 144313 and 140, that added together give a triangular number (144453 = T537).

The spelling of 144313140 in words is "one hundred forty-four million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 173 346 519 692 865 1038 1730 2076 2595 3460 5190 10380 13903 27806 41709 55612 69515 83418 139030 166836 208545 278060 417090 834180 2405219 4810438 7215657 9620876 12026095 14431314 24052190 28862628 36078285 48104380 72156570 144313140