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144308444 = 22717734153
BaseRepresentation
bin10001001100111…
…11100011011100
3101001112121222012
420212133203130
5243420332234
622153010352
73401413220
oct1046374334
9331477865
10144308444
1174505085
12403b39b8
1323b88417
1415246780
15ca080ce
hex899f8dc

144308444 has 48 divisors (see below), whose sum is σ = 309855168. Its totient is φ = 57397248.

The previous prime is 144308443. The next prime is 144308447. The reversal of 144308444 is 444803441.

It is a super-2 number, since 2×1443084442 = 41649854019402272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144308444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144308443) 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, 32672 + ... + 36824.

It is an arithmetic number, because the mean of its divisors is an integer number (6455316).

Almost surely, 2144308444 is an apocalyptic number.

144308444 is a gapful number since it is divisible by the number (14) 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 144308444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154927584).

144308444 is an abundant number, since it is smaller than the sum of its proper divisors (165546724).

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

144308444 is a wasteful number, since it uses less digits than its factorization.

144308444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 144308444 is about 12012.8449586266. The cubic root of 144308444 is about 524.5222489754.

The spelling of 144308444 in words is "one hundred forty-four million, three hundred eight thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 73 119 146 238 292 476 511 1022 1241 2044 2482 4153 4964 8306 8687 16612 17374 29071 34748 58142 70601 116284 141202 282404 303169 494207 606338 988414 1212676 1976828 2122183 4244366 5153873 8488732 10307746 20615492 36077111 72154222 144308444