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144350140 = 225114315259
BaseRepresentation
bin10001001101010…
…01101110111100
3101001121202011111
420212221232330
5243423201030
622153531404
73401645614
oct1046515674
9331552144
10144350140
1174533440
1240413b64
1323ba13ac
1415257a44
15ca1562a
hex89a9bbc

144350140 has 48 divisors (see below), whose sum is σ = 338405760. Its totient is φ = 51266880.

The previous prime is 144350137. The next prime is 144350147. The reversal of 144350140 is 41053441.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144350147) 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, 1831 + ... + 17089.

It is an arithmetic number, because the mean of its divisors is an integer number (7050120).

Almost surely, 2144350140 is an apocalyptic number.

144350140 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 144350140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169202880).

144350140 is an abundant number, since it is smaller than the sum of its proper divisors (194055620).

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

144350140 is a wasteful number, since it uses less digits than its factorization.

144350140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15322 (or 15320 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 144350140 is about 12014.5803089413. The cubic root of 144350140 is about 524.5727620131.

The spelling of 144350140 in words is "one hundred forty-four million, three hundred fifty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 15259 30518 61036 76295 152590 167849 305180 335698 656137 671396 839245 1312274 1678490 2624548 3280685 3356980 6561370 7217507 13122740 14435014 28870028 36087535 72175070 144350140