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144208280 = 23517316841
BaseRepresentation
bin10001001100001…
…11000110011000
3101001100112120102
420212013012120
5243404131110
622150514532
73400515206
oct1046070630
9331315512
10144208280
11744468a7
1240365a48
1323b51958
141521c076
15c9d85a5
hex8987198

144208280 has 64 divisors (see below), whose sum is σ = 354689280. Its totient is φ = 52531200.

The previous prime is 144208279. The next prime is 144208289. The reversal of 144208280 is 82802441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144208289) 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 15 ways as a sum of consecutive naturals, for example, 17660 + ... + 24500.

It is an arithmetic number, because the mean of its divisors is an integer number (5542020).

Almost surely, 2144208280 is an apocalyptic number.

144208280 is a gapful number since it is divisible by the number (10) 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 144208280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177344640).

144208280 is an abundant number, since it is smaller than the sum of its proper divisors (210481000).

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

144208280 is a wasteful number, since it uses less digits than its factorization.

144208280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900 (or 6896 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 144208280 is about 12008.6751975395. The cubic root of 144208280 is about 524.4008645174.

The spelling of 144208280 in words is "one hundred forty-four million, two hundred eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 4216 5270 6841 10540 13682 21080 27364 34205 54728 68410 116297 136820 212071 232594 273640 424142 465188 581485 848284 930376 1060355 1162970 1696568 2120710 2325940 3605207 4241420 4651880 7210414 8482840 14420828 18026035 28841656 36052070 72104140 144208280