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1142424144 = 243229273569
BaseRepresentation
bin100010000011000…
…0000001001010000
32221121200011022100
41010012000021100
54314430033034
6305210040400
740211305431
oct10406001120
92847604270
101142424144
11536961194
1227a719100
131528b5a24
14aba23488
156a466099
hex44180250

1142424144 has 60 divisors (see below), whose sum is σ = 3307461300. Its totient is φ = 367675392.

The previous prime is 1142424119. The next prime is 1142424149. The reversal of 1142424144 is 4414242411.

It is a happy number.

1142424144 is a `hidden beast` number, since 1 + 1 + 4 + 242 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 253191744 + 889232400 = 15912^2 + 29820^2 .

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 (1142424149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132609 + ... + 140960.

It is an arithmetic number, because the mean of its divisors is an integer number (55124355).

Almost surely, 21142424144 is an apocalyptic number.

It is an amenable number.

1142424144 is an abundant number, since it is smaller than the sum of its proper divisors (2165037156).

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

1142424144 is a wasteful number, since it uses less digits than its factorization.

1142424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273612 (or 273603 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 1142424144 is about 33799.7654429731. The cubic root of 1142424144 is about 1045.3838608713.

Adding to 1142424144 its reverse (4414242411), we get a palindrome (5556666555).

The spelling of 1142424144 in words is "one billion, one hundred forty-two million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 273569 547138 820707 1094276 1641414 2188552 2462121 3282828 4377104 4924242 6565656 7933501 9848484 13131312 15867002 19696968 23800503 31734004 39393936 47601006 63468008 71401509 95202012 126936016 142803018 190404024 285606036 380808048 571212072 1142424144