Search a number
-
+
144201440 = 2557431213
BaseRepresentation
bin10001001100001…
…01011011100000
3101001100012012002
420212011123200
5243403421230
622150423132
73400456235
oct1046053340
9331305162
10144201440
1174441749
1240361aa8
1323b4b7c6
141521978c
15c9d6545
hex89856e0

144201440 has 48 divisors (see below), whose sum is σ = 341415648. Its totient is φ = 57555456.

The previous prime is 144201413. The next prime is 144201443. The reversal of 144201440 is 44102441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144201443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118274 + ... + 119486.

It is an arithmetic number, because the mean of its divisors is an integer number (7112826).

Almost surely, 2144201440 is an apocalyptic number.

144201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144201440 is an abundant number, since it is smaller than the sum of its proper divisors (197214208).

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

144201440 is a wasteful number, since it uses less digits than its factorization.

144201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 144201440 is about 12008.3904000495. The cubic root of 144201440 is about 524.3925733647.

Adding to 144201440 its reverse (44102441), we get a palindrome (188303881).

The spelling of 144201440 in words is "one hundred forty-four million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 743 1213 1486 2426 2972 3715 4852 5944 6065 7430 9704 11888 12130 14860 19408 23776 24260 29720 38816 48520 59440 97040 118880 194080 901259 1802518 3605036 4506295 7210072 9012590 14420144 18025180 28840288 36050360 72100720 144201440