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144292401 = 3311485833
BaseRepresentation
bin10001001100110…
…11101000110001
3101001111210222000
420212123220301
5243414324101
622152404213
73401315361
oct1046335061
9331453860
10144292401
11744a4020
12403a6669
1323b81026
14152409a1
15ca03486
hex899ba31

144292401 has 16 divisors (see below), whose sum is σ = 233200320. Its totient is φ = 87449760.

The previous prime is 144292399. The next prime is 144292417. The reversal of 144292401 is 104292441.

It is a happy number.

It is not a de Polignac number, because 144292401 - 21 = 144292399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144292451) 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, 242620 + ... + 243213.

It is an arithmetic number, because the mean of its divisors is an integer number (14575020).

Almost surely, 2144292401 is an apocalyptic number.

144292401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144292401 is a deficient number, since it is larger than the sum of its proper divisors (88907919).

144292401 is a wasteful number, since it uses less digits than its factorization.

144292401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485853 (or 485847 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144292401 is about 12012.1771964952. The cubic root of 144292401 is about 524.5028109299.

The spelling of 144292401 in words is "one hundred forty-four million, two hundred ninety-two thousand, four hundred one".

Divisors: 1 3 9 11 27 33 99 297 485833 1457499 4372497 5344163 13117491 16032489 48097467 144292401