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144491148 = 22332635087
BaseRepresentation
bin10001001110011…
…00001010001100
3101001212220121000
420213030022030
5243442204043
622200540300
73403103664
oct1047141214
9331786530
10144491148
117461a37a
1240481690
1323c20629
14152931a4
15ca422d3
hex89cc28c

144491148 has 48 divisors (see below), whose sum is σ = 376104960. Its totient is φ = 47971152.

The previous prime is 144491119. The next prime is 144491153. The reversal of 144491148 is 841194441.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 25861 + ... + 30947.

It is an arithmetic number, because the mean of its divisors is an integer number (7835520).

Almost surely, 2144491148 is an apocalyptic number.

144491148 is a gapful number since it is divisible by the number (18) 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 144491148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188052480).

144491148 is an abundant number, since it is smaller than the sum of its proper divisors (231613812).

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

144491148 is a wasteful number, since it uses less digits than its factorization.

144491148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5355 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 144491148 is about 12020.4470798719. The cubic root of 144491148 is about 524.7435155333.

The spelling of 144491148 in words is "one hundred forty-four million, four hundred ninety-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 263 526 789 1052 1578 2367 3156 4734 5087 7101 9468 10174 14202 15261 20348 28404 30522 45783 61044 91566 137349 183132 274698 549396 1337881 2675762 4013643 5351524 8027286 12040929 16054572 24081858 36122787 48163716 72245574 144491148