Search a number
-
+
144214956 = 22324005971
BaseRepresentation
bin10001001100010…
…00101110101100
3101001100212201200
420212020232230
5243404334311
622151005500
73400543524
oct1046105654
9331325650
10144214956
1174450916
1240369890
1323b549c2
1415220684
15c9da556
hex8988bac

144214956 has 18 divisors (see below), whose sum is σ = 364543452. Its totient is φ = 48071640.

The previous prime is 144214951. The next prime is 144214979. The reversal of 144214956 is 659412441.

144214956 is a `hidden beast` number, since 144 + 21 + 495 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4005971 = 144214956 / (1 + 4 + 4 + 2 + 1 + 4 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 144214956.

It is not an unprimeable number, because it can be changed into a prime (144214951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2002950 + ... + 2003021.

It is an arithmetic number, because the mean of its divisors is an integer number (20252414).

Almost surely, 2144214956 is an apocalyptic number.

It is an amenable number.

144214956 is an abundant number, since it is smaller than the sum of its proper divisors (220328496).

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

144214956 is a wasteful number, since it uses less digits than its factorization.

144214956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005981 (or 4005976 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 144214956 is about 12008.9531600386. The cubic root of 144214956 is about 524.4089566236.

The spelling of 144214956 in words is "one hundred forty-four million, two hundred fourteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 4005971 8011942 12017913 16023884 24035826 36053739 48071652 72107478 144214956