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144500300 = 22527316659
BaseRepresentation
bin10001001110011…
…10011001001100
3101001220101010222
420213032121030
5243443002200
622201050512
73403142450
oct1047163114
9331811128
10144500300
117462623a
1240486a38
1323c24849
1415296660
15ca44d85
hex89ce64c

144500300 has 72 divisors (see below), whose sum is σ = 369976320. Its totient is φ = 47937600.

The previous prime is 144500299. The next prime is 144500303. The reversal of 144500300 is 3005441.

It is not an unprimeable number, because it can be changed into a prime (144500303) 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 23 ways as a sum of consecutive naturals, for example, 18371 + ... + 25029.

It is an arithmetic number, because the mean of its divisors is an integer number (5138560).

Almost surely, 2144500300 is an apocalyptic number.

144500300 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 144500300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184988160).

144500300 is an abundant number, since it is smaller than the sum of its proper divisors (225476020).

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

144500300 is a wasteful number, since it uses less digits than its factorization.

144500300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6711 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 144500300 is about 12020.8277585198. The cubic root of 144500300 is about 524.7545943003.

Adding to 144500300 its reverse (3005441), we get a palindrome (147505741).

The spelling of 144500300 in words is "one hundred forty-four million, five hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4340 5425 6659 10850 13318 21700 26636 33295 46613 66590 93226 133180 166475 186452 206429 233065 332950 412858 466130 665900 825716 932260 1032145 1165325 1445003 2064290 2330650 2890006 4128580 4661300 5160725 5780012 7225015 10321450 14450030 20642900 28900060 36125075 72250150 144500300