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144084090 = 2354802803
BaseRepresentation
bin10001001011010…
…00110001111010
3101001010020012210
420211220301322
5243341142330
622144115550
73366460143
oct1045506172
9331106183
10144084090
1174371567
1240305bb6
1323b0a277
14151c8aca
15c9b18b0
hex8968c7a

144084090 has 16 divisors (see below), whose sum is σ = 345801888. Its totient is φ = 38422416.

The previous prime is 144084089. The next prime is 144084131. The reversal of 144084090 is 90480441.

It is a super-2 number, since 2×1440840902 = 41520449982256200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 4802803 = 144084090 / (1 + 4 + 4 + 0 + 8 + 4 + 0 + 9 + 0).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2401372 + ... + 2401431.

It is an arithmetic number, because the mean of its divisors is an integer number (21612618).

Almost surely, 2144084090 is an apocalyptic number.

144084090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144084090 is an abundant number, since it is smaller than the sum of its proper divisors (201717798).

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

144084090 is a wasteful number, since it uses less digits than its factorization.

144084090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802813.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 144084090 is about 12003.5032386383. The cubic root of 144084090 is about 524.2502859068.

The spelling of 144084090 in words is "one hundred forty-four million, eighty-four thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 4802803 9605606 14408409 24014015 28816818 48028030 72042045 144084090