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144244044 = 22337297281
BaseRepresentation
bin10001001100011…
…11110101001100
3101001102100122000
420212033311030
5243411302134
622151352300
73401024400
oct1046176514
9331370560
10144244044
117447075a
1240382690
1323b65009
141522b100
15c9e3e99
hex898fd4c

144244044 has 144 divisors (see below), whose sum is σ = 441070560. Its totient is φ = 40642560.

The previous prime is 144244039. The next prime is 144244049. The reversal of 144244044 is 440442441.

144244044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144244039) and next prime (144244049).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144243999 and 144244017.

It is not an unprimeable number, because it can be changed into a prime (144244049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513184 + ... + 513464.

It is an arithmetic number, because the mean of its divisors is an integer number (3062990).

Almost surely, 2144244044 is an apocalyptic number.

144244044 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 144244044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220535280).

144244044 is an abundant number, since it is smaller than the sum of its proper divisors (296826516).

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

144244044 is a wasteful number, since it uses less digits than its factorization.

144244044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 144244044 is about 12010.1641953805. The cubic root of 144244044 is about 524.4442118257. Note that the first 3 decimals are identical.

Adding to 144244044 its reverse (440442441), we get a palindrome (584686485).

The spelling of 144244044 in words is "one hundred forty-four million, two hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 97 98 108 126 147 189 194 196 252 281 291 294 378 388 441 562 582 588 679 756 843 873 882 1124 1164 1323 1358 1686 1746 1764 1967 2037 2529 2619 2646 2716 3372 3492 3934 4074 4753 5058 5238 5292 5901 6111 7587 7868 8148 9506 10116 10476 11802 12222 13769 14259 15174 17703 18333 19012 23604 24444 27257 27538 28518 30348 35406 36666 41307 42777 53109 54514 55076 57036 70812 73332 81771 82614 85554 106218 109028 123921 128331 163542 165228 171108 190799 212436 245313 247842 256662 327084 371763 381598 490626 495684 513324 572397 735939 743526 763196 981252 1144794 1335593 1471878 1487052 1717191 2289588 2671186 2943756 3434382 4006779 5151573 5342372 6868764 8013558 10303146 12020337 16027116 20606292 24040674 36061011 48081348 72122022 144244044