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144322120 = 2353608053
BaseRepresentation
bin10001001101000…
…10111001001000
3101001120022201201
420212202321020
5243421301440
622153153544
73401501125
oct1046427110
9331508651
10144322120
1174514388
12403bb8b4
1323b91707
141524b74c
15ca0c19a
hex89a2e48

144322120 has 16 divisors (see below), whose sum is σ = 324724860. Its totient is φ = 57728832.

The previous prime is 144322099. The next prime is 144322153. The reversal of 144322120 is 21223441.

It can be written as a sum of positive squares in 2 ways, for example, as 144144036 + 178084 = 12006^2 + 422^2 .

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 3 ways as a sum of consecutive naturals, for example, 1803987 + ... + 1804066.

Almost surely, 2144322120 is an apocalyptic number.

144322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144322120 is an abundant number, since it is smaller than the sum of its proper divisors (180402740).

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

144322120 is a wasteful number, since it uses less digits than its factorization.

144322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608064 (or 3608060 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 144322120 is about 12013.4141691694. The cubic root of 144322120 is about 524.5388179751.

Adding to 144322120 its reverse (21223441), we get a palindrome (165545561).

The spelling of 144322120 in words is "one hundred forty-four million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3608053 7216106 14432212 18040265 28864424 36080530 72161060 144322120