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144165042 = 2337381389
BaseRepresentation
bin10001001011111…
…00100010110010
3101001021100021000
420211330202302
5243401240132
622145542430
73400245150
oct1045744262
9331240230
10144165042
117441736a
1240344a16
1323b38078
141520a3d0
15c9ca87c
hex897c8b2

144165042 has 32 divisors (see below), whose sum is σ = 366134400. Its totient is φ = 41189904.

The previous prime is 144165041. The next prime is 144165067. The reversal of 144165042 is 240561441.

144165042 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 650 + 4 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 144164997 and 144165015.

It is not an unprimeable number, because it can be changed into a prime (144165041) 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, 190317 + ... + 191072.

It is an arithmetic number, because the mean of its divisors is an integer number (11441700).

Almost surely, 2144165042 is an apocalyptic number.

144165042 is an abundant number, since it is smaller than the sum of its proper divisors (221969358).

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

144165042 is a wasteful number, since it uses less digits than its factorization.

144165042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381407 (or 381401 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 144165042 is about 12006.8747807246. The cubic root of 144165042 is about 524.3484488700.

The spelling of 144165042 in words is "one hundred forty-four million, one hundred sixty-five thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 381389 762778 1144167 2288334 2669723 3432501 5339446 6865002 8009169 10297503 16018338 20595006 24027507 48055014 72082521 144165042