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144048312 = 23322000671
BaseRepresentation
bin10001001011000…
…00000010111000
3101001001102010200
420211200002320
5243334021222
622143242200
73366250632
oct1045400270
9331042120
10144048312
11743476a1
12402a9360
1323ac6bb5
14151b9a52
15c9a5eac
hex89600b8

144048312 has 24 divisors (see below), whose sum is σ = 390131040. Its totient is φ = 48016080.

The previous prime is 144048301. The next prime is 144048313. The reversal of 144048312 is 213840441.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144048313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1000264 + ... + 1000407.

It is an arithmetic number, because the mean of its divisors is an integer number (16255460).

Almost surely, 2144048312 is an apocalyptic number.

144048312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144048312 is an abundant number, since it is smaller than the sum of its proper divisors (246082728).

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

144048312 is a wasteful number, since it uses less digits than its factorization.

144048312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000683 (or 2000676 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 144048312 is about 12002.0128311879. The cubic root of 144048312 is about 524.2068895368.

Adding to 144048312 its reverse (213840441), we get a palindrome (357888753).

The spelling of 144048312 in words is "one hundred forty-four million, forty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2000671 4001342 6002013 8002684 12004026 16005368 18006039 24008052 36012078 48016104 72024156 144048312