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144133002 = 23213247381
BaseRepresentation
bin10001001011101…
…00101110001010
3101001012201022100
420211310232022
5243344224002
622145134230
73400052556
oct1045645612
9331181270
10144133002
11743a5292
124032a376
1323b26600
14151dc866
15c9c111c
hex8974b8a

144133002 has 36 divisors (see below), whose sum is σ = 338165334. Its totient is φ = 44347680.

The previous prime is 144133001. The next prime is 144133009. The reversal of 144133002 is 200331441.

It can be written as a sum of positive squares in 3 ways, for example, as 105083001 + 39050001 = 10251^2 + 6249^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (144133001) 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 17 ways as a sum of consecutive naturals, for example, 20649 + ... + 26732.

Almost surely, 2144133002 is an apocalyptic number.

144133002 is an abundant number, since it is smaller than the sum of its proper divisors (194032332).

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

144133002 is a wasteful number, since it uses less digits than its factorization.

144133002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47415 (or 47399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 144133002 is about 12005.5404709659. The cubic root of 144133002 is about 524.3096013362.

Adding to 144133002 its reverse (200331441), we get a palindrome (344464443).

It can be divided in two parts, 1441 and 33002, that added together give a palindrome (34443).

The spelling of 144133002 in words is "one hundred forty-four million, one hundred thirty-three thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 47381 94762 142143 284286 426429 615953 852858 1231906 1847859 3695718 5543577 8007389 11087154 16014778 24022167 48044334 72066501 144133002