Search a number
-
+
144964240 = 2451812053
BaseRepresentation
bin10001010001111…
…11101010010000
3101002202221112221
420220333222100
5244102323430
622215030424
73410114161
oct1050775220
9332687487
10144964240
1174912863
124066b414
1324057a75
1415377768
15cad757a
hex8a3fa90

144964240 has 20 divisors (see below), whose sum is σ = 337042044. Its totient is φ = 57985664.

The previous prime is 144964217. The next prime is 144964241. The reversal of 144964240 is 42469441.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 62663056 = 9072^2 + 7916^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 144964196 and 144964205.

It is not an unprimeable number, because it can be changed into a prime (144964241) 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 3 ways as a sum of consecutive naturals, for example, 905947 + ... + 906106.

Almost surely, 2144964240 is an apocalyptic number.

144964240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144964240 is an abundant number, since it is smaller than the sum of its proper divisors (192077804).

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

144964240 is a wasteful number, since it uses less digits than its factorization.

144964240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812066 (or 1812060 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 144964240 is about 12040.1096340523. The cubic root of 144964240 is about 525.3155955830.

The spelling of 144964240 in words is "one hundred forty-four million, nine hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1812053 3624106 7248212 9060265 14496424 18120530 28992848 36241060 72482120 144964240