Search a number
-
+
142311424 = 21543101
BaseRepresentation
bin10000111101110…
…00000000000000
3100220210011120111
420132320000000
5242412431144
622042121104
73345425053
oct1036700000
9326704514
10142311424
1173370752
123b7b0194
1323639458
1414c86a9a
15c761534
hex87b8000

142311424 has 64 divisors (see below), whose sum is σ = 294121080. Its totient is φ = 68812800.

The previous prime is 142311401. The next prime is 142311427. The reversal of 142311424 is 424113241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 142311395 and 142311404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142311427) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1408974 + ... + 1409074.

Almost surely, 2142311424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147060540).

142311424 is an abundant number, since it is smaller than the sum of its proper divisors (151809656).

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

142311424 is an frugal number, since it uses more digits than its factorization.

142311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 146 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 142311424 is about 11929.4351919946. The cubic root of 142311424 is about 522.0914584590.

Adding to 142311424 its reverse (424113241), we get a palindrome (566424665).

The spelling of 142311424 in words is "one hundred forty-two million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 101 128 172 202 256 344 404 512 688 808 1024 1376 1616 2048 2752 3232 4096 4343 5504 6464 8192 8686 11008 12928 16384 17372 22016 25856 32768 34744 44032 51712 69488 88064 103424 138976 176128 206848 277952 352256 413696 555904 704512 827392 1111808 1409024 1654784 2223616 3309568 4447232 8894464 17788928 35577856 71155712 142311424