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144314260 = 22541175993
BaseRepresentation
bin10001001101000…
…00111110010100
3101001112220221121
420212200332110
5243421024020
622153053324
73401436166
oct1046407624
9331486847
10144314260
1174509492
12403b7244
1323b8ac6c
1415248936
15ca09baa
hex89a0f94

144314260 has 24 divisors (see below), whose sum is σ = 310453416. Its totient is φ = 56317440.

The previous prime is 144314257. The next prime is 144314267. The reversal of 144314260 is 62413441.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 144048004 = 516^2 + 12002^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144314267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87177 + ... + 88816.

It is an arithmetic number, because the mean of its divisors is an integer number (12935559).

Almost surely, 2144314260 is an apocalyptic number.

144314260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144314260 is an abundant number, since it is smaller than the sum of its proper divisors (166139156).

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

144314260 is a wasteful number, since it uses less digits than its factorization.

144314260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176043 (or 176041 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 144314260 is about 12013.0870304015. The cubic root of 144314260 is about 524.5292954109.

The spelling of 144314260 in words is "one hundred forty-four million, three hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 175993 351986 703972 879965 1759930 3519860 7215713 14431426 28862852 36078565 72157130 144314260