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144120264 = 2336005011
BaseRepresentation
bin10001001011100…
…01100111001000
3101001012001211120
420211301213020
5243343322024
622144555240
73400000461
oct1045614710
9331161746
10144120264
1174396762
1240322b20
1323b20882
14151d7d68
15c9bc479
hex89719c8

144120264 has 16 divisors (see below), whose sum is σ = 360300720. Its totient is φ = 48040080.

The previous prime is 144120259. The next prime is 144120269. The reversal of 144120264 is 462021441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144120259) and next prime (144120269).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 6005011 = 144120264 / (1 + 4 + 4 + 1 + 2 + 0 + 2 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (144120269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3002482 + ... + 3002529.

It is an arithmetic number, because the mean of its divisors is an integer number (22518795).

Almost surely, 2144120264 is an apocalyptic number.

It is an amenable number.

144120264 is an abundant number, since it is smaller than the sum of its proper divisors (216180456).

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

144120264 is a wasteful number, since it uses less digits than its factorization.

144120264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6005020 (or 6005016 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 144120264 is about 12005.0099541816. The cubic root of 144120264 is about 524.2941552959.

The spelling of 144120264 in words is "one hundred forty-four million, one hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 6005011 12010022 18015033 24020044 36030066 48040088 72060132 144120264