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144082956 = 223175911971
BaseRepresentation
bin10001001011010…
…00100000001100
3101001010011122210
420211220200030
5243341123311
622144110420
73366453633
oct1045504014
9331104583
10144082956
1174370726
1240305410
1323b098b4
14151c851a
15c9b13a6
hex896880c

144082956 has 48 divisors (see below), whose sum is σ = 362033280. Its totient is φ = 44432640.

The previous prime is 144082903. The next prime is 144082957. The reversal of 144082956 is 659280441.

It is not an unprimeable number, because it can be changed into a prime (144082957) 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, 6051 + ... + 18021.

It is an arithmetic number, because the mean of its divisors is an integer number (7542360).

Almost surely, 2144082956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144082956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181016640).

144082956 is an abundant number, since it is smaller than the sum of its proper divisors (217950324).

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

144082956 is a wasteful number, since it uses less digits than its factorization.

144082956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12054 (or 12052 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 144082956 is about 12003.4560023353. The cubic root of 144082956 is about 524.2489105494.

The spelling of 144082956 in words is "one hundred forty-four million, eighty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 204 236 354 708 1003 2006 3009 4012 6018 11971 12036 23942 35913 47884 71826 143652 203507 407014 610521 706289 814028 1221042 1412578 2118867 2442084 2825156 4237734 8475468 12006913 24013826 36020739 48027652 72041478 144082956