Search a number
-
+
144351144 = 23327286411
BaseRepresentation
bin10001001101010…
…01111110101000
3101001121210112200
420212221332220
5243423214034
622153540200
73401651550
oct1046517650
9331553480
10144351144
1174534173
1240414660
1323ba19a2
1415258160
15ca15a99
hex89a9fa8

144351144 has 48 divisors (see below), whose sum is σ = 446802720. Its totient is φ = 41243040.

The previous prime is 144351143. The next prime is 144351157. The reversal of 144351144 is 441153441.

144351144 is a `hidden beast` number, since 144 + 3 + 511 + 4 + 4 = 666.

144351144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144351143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142702 + ... + 143709.

It is an arithmetic number, because the mean of its divisors is an integer number (9308390).

Almost surely, 2144351144 is an apocalyptic number.

144351144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144351144 is an abundant number, since it is smaller than the sum of its proper divisors (302451576).

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

144351144 is a wasteful number, since it uses less digits than its factorization.

144351144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286430 (or 286423 counting only the distinct ones).

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

The square root of 144351144 is about 12014.6220914351. The cubic root of 144351144 is about 524.5739781991.

The spelling of 144351144 in words is "one hundred forty-four million, three hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 286411 572822 859233 1145644 1718466 2004877 2291288 2577699 3436932 4009754 5155398 6014631 6873864 8019508 10310796 12029262 16039016 18043893 20621592 24058524 36087786 48117048 72175572 144351144