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144312060 = 223515311571
BaseRepresentation
bin10001001101000…
…00011011111100
3101001112210221010
420212200123330
5243420441220
622153035220
73401426604
oct1046403374
9331483833
10144312060
1174507872
12403b5b10
1323b89c69
1415247c04
15ca091e0
hex89a06fc

144312060 has 48 divisors (see below), whose sum is σ = 404595072. Its totient is φ = 38433600.

The previous prime is 144312019. The next prime is 144312061. The reversal of 144312060 is 60213441.

It is a super-2 number, since 2×1443120602 = 41651941322887200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144312061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91075 + ... + 92645.

It is an arithmetic number, because the mean of its divisors is an integer number (8429064).

Almost surely, 2144312060 is an apocalyptic number.

144312060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144312060 is an abundant number, since it is smaller than the sum of its proper divisors (260283012).

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

144312060 is a wasteful number, since it uses less digits than its factorization.

144312060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 144312060 is about 12012.9954632473. The cubic root of 144312060 is about 524.5266300002.

The spelling of 144312060 in words is "one hundred forty-four million, three hundred twelve thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1531 1571 3062 3142 4593 4713 6124 6284 7655 7855 9186 9426 15310 15710 18372 18852 22965 23565 30620 31420 45930 47130 91860 94260 2405201 4810402 7215603 9620804 12026005 14431206 24052010 28862412 36078015 48104020 72156030 144312060