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144424644 = 223713132257
BaseRepresentation
bin10001001101110…
…11111011000100
3101001202112100220
420212323323010
5243433042034
622155304340
73402406050
oct1046737304
9331675326
10144424644
1174584411
124044b0b0
1323bc9290
1415276c60
15ca2c749
hex89bbec4

144424644 has 48 divisors (see below), whose sum is σ = 414761088. Its totient is φ = 38089728.

The previous prime is 144424633. The next prime is 144424649. The reversal of 144424644 is 446424441.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144424649) 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, 65037 + ... + 67220.

It is an arithmetic number, because the mean of its divisors is an integer number (8640856).

Almost surely, 2144424644 is an apocalyptic number.

144424644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144424644 is an abundant number, since it is smaller than the sum of its proper divisors (270336444).

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

144424644 is a wasteful number, since it uses less digits than its factorization.

144424644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132284 (or 132282 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

The square root of 144424644 is about 12017.6804750334. The cubic root of 144424644 is about 524.6629964182.

The spelling of 144424644 in words is "one hundred forty-four million, four hundred twenty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 132257 264514 396771 529028 793542 925799 1587084 1719341 1851598 2777397 3438682 3703196 5158023 5554794 6877364 10316046 11109588 12035387 20632092 24070774 36106161 48141548 72212322 144424644