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144195432 = 2336008143
BaseRepresentation
bin10001001100000…
…11111101101000
3101001022212221120
420212003331220
5243403223212
622150335240
73400432563
oct1046037550
9331285846
10144195432
1174438187
124035a520
1323b48b54
14152174da
15c9d488c
hex8983f68

144195432 has 16 divisors (see below), whose sum is σ = 360488640. Its totient is φ = 48065136.

The previous prime is 144195421. The next prime is 144195439. The reversal of 144195432 is 234591441.

It is a junction number, because it is equal to n+sod(n) for n = 144195393 and 144195402.

It is not an unprimeable number, because it can be changed into a prime (144195439) 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 3 ways as a sum of consecutive naturals, for example, 3004048 + ... + 3004095.

It is an arithmetic number, because the mean of its divisors is an integer number (22530540).

Almost surely, 2144195432 is an apocalyptic number.

144195432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144195432 is an abundant number, since it is smaller than the sum of its proper divisors (216293208).

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

144195432 is a wasteful number, since it uses less digits than its factorization.

144195432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008152 (or 6008148 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 144195432 is about 12008.1402390212. The cubic root of 144195432 is about 524.3852905101.

The spelling of 144195432 in words is "one hundred forty-four million, one hundred ninety-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 6008143 12016286 18024429 24032572 36048858 48065144 72097716 144195432