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144000430 = 25719108271
BaseRepresentation
bin10001001010101…
…00010110101110
3101000221222110021
420211110112232
5243331003210
622142232354
73365661220
oct1045242656
9330858407
10144000430
1174314722
12402856ba
1323aab172
14151a6410
15c996bda
hex89545ae

144000430 has 32 divisors (see below), whose sum is σ = 311823360. Its totient is φ = 46772640.

The previous prime is 144000413. The next prime is 144000481. The reversal of 144000430 is 34000441.

144000430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1440004302 = 41472247680369800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52806 + ... + 55465.

It is an arithmetic number, because the mean of its divisors is an integer number (9744480).

Almost surely, 2144000430 is an apocalyptic number.

144000430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144000430 is an abundant number, since it is smaller than the sum of its proper divisors (167822930).

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

144000430 is a wasteful number, since it uses less digits than its factorization.

144000430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108304.

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 144000430 is about 12000.0179166533. The cubic root of 144000430 is about 524.1488005629.

Adding to 144000430 its reverse (34000441), we get a palindrome (178000871).

The spelling of 144000430 in words is "one hundred forty-four million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1330 108271 216542 541355 757897 1082710 1515794 2057149 3789485 4114298 7578970 10285745 14400043 20571490 28800086 72000215 144000430