Search a number
-
+
142331904 = 212351113
BaseRepresentation
bin10000111101111…
…01000000000000
3100220211012200000
420132331000000
5242414110104
622042400000
73345541551
oct1036750000
9326735600
10142331904
1173385080
123b800000
1323645880
1414c90328
15c767639
hex87bd000

142331904 has 312 divisors, whose sum is σ = 500896032. Its totient is φ = 39813120.

The previous prime is 142331899. The next prime is 142331911. The reversal of 142331904 is 409133241.

It is a tau number, because it is divible by the number of its divisors (312).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10948602 + ... + 10948614.

It is an arithmetic number, because the mean of its divisors is an integer number (1605436).

Almost surely, 2142331904 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 142331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250448016).

142331904 is an abundant number, since it is smaller than the sum of its proper divisors (358564128).

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

142331904 is an equidigital number, since it uses as much as digits as its factorization.

142331904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 142331904 is about 11930.2935420718. The cubic root of 142331904 is about 522.1165019396.

The spelling of 142331904 in words is "one hundred forty-two million, three hundred thirty-one thousand, nine hundred four".