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144204312 = 23373127689
BaseRepresentation
bin10001001100001…
…10001000011000
3101001100100010110
420212012020120
5243404014222
622150444320
73400500510
oct1046061030
9331310113
10144204312
117444391a
12403636a0
1323b4cbc5
141521a840
15c9d730c
hex8986218

144204312 has 64 divisors (see below), whose sum is σ = 425318400. Its totient is φ = 39870720.

The previous prime is 144204289. The next prime is 144204317. The reversal of 144204312 is 213402441.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144204317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8637 + ... + 19052.

It is an arithmetic number, because the mean of its divisors is an integer number (6645600).

Almost surely, 2144204312 is an apocalyptic number.

144204312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144204312 is an abundant number, since it is smaller than the sum of its proper divisors (281114088).

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

144204312 is a wasteful number, since it uses less digits than its factorization.

144204312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27736 (or 27732 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144204312 is about 12008.5099825082. The cubic root of 144204312 is about 524.3960547110.

Adding to 144204312 its reverse (213402441), we get a palindrome (357606753).

The spelling of 144204312 in words is "one hundred forty-four million, two hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 27689 55378 83067 110756 166134 193823 221512 332268 387646 581469 664536 775292 858359 1162938 1550584 1716718 2325876 2575077 3433436 4651752 5150154 6008513 6866872 10300308 12017026 18025539 20600616 24034052 36051078 48068104 72102156 144204312