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144529936 = 24312111381
BaseRepresentation
bin10001001110101…
…01101000010000
3101001221212210121
420213111220100
5243444424221
622201440024
73403325035
oct1047255020
9331855717
10144529936
1174646531
12404a0014
1323c35195
14152a338c
15ca4da41
hex89d5a10

144529936 has 40 divisors (see below), whose sum is σ = 290640128. Its totient is φ = 69552000.

The previous prime is 144529933. The next prime is 144529949. The reversal of 144529936 is 639925441.

It is a junction number, because it is equal to n+sod(n) for n = 144529892 and 144529901.

It is not an unprimeable number, because it can be changed into a prime (144529933) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 103966 + ... + 105346.

Almost surely, 2144529936 is an apocalyptic number.

144529936 is a gapful number since it is divisible by the number (16) 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 144529936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145320064).

144529936 is an abundant number, since it is smaller than the sum of its proper divisors (146110192).

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

144529936 is a wasteful number, since it uses less digits than its factorization.

144529936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1625 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 144529936 is about 12022.0603891346. The cubic root of 144529936 is about 524.7904663460.

The spelling of 144529936 in words is "one hundred forty-four million, five hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 62 124 211 248 422 496 844 1381 1688 2762 3376 5524 6541 11048 13082 22096 26164 42811 52328 85622 104656 171244 291391 342488 582782 684976 1165564 2331128 4662256 9033121 18066242 36132484 72264968 144529936