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144134424 = 2333795327
BaseRepresentation
bin10001001011101…
…01000100011000
3101001012210021000
420211311010120
5243344300144
622145145000
73400056660
oct1045650430
9331183230
10144134424
11743a6365
124032b160
1323b27155
14151dd1a0
15c9c1769
hex8975118

144134424 has 64 divisors (see below), whose sum is σ = 457574400. Its totient is φ = 41180832.

The previous prime is 144134411. The next prime is 144134429. The reversal of 144134424 is 424431441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144134429) 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 15 ways as a sum of consecutive naturals, for example, 46152 + ... + 49175.

It is an arithmetic number, because the mean of its divisors is an integer number (7149600).

Almost surely, 2144134424 is an apocalyptic number.

144134424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144134424 is an abundant number, since it is smaller than the sum of its proper divisors (313439976).

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

144134424 is a wasteful number, since it uses less digits than its factorization.

144134424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95349 (or 95339 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 144134424 is about 12005.5996934764. The cubic root of 144134424 is about 524.3113255904.

Adding to 144134424 its reverse (424431441), we get a palindrome (568565865).

The spelling of 144134424 in words is "one hundred forty-four million, one hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 95327 190654 285981 381308 571962 667289 762616 857943 1143924 1334578 1715886 2001867 2287848 2573829 2669156 3431772 4003734 5147658 5338312 6005601 6863544 8007468 10295316 12011202 16014936 18016803 20590632 24022404 36033606 48044808 72067212 144134424