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142131010424 = 2313217193110499
BaseRepresentation
bin1000010001011110101…
…0110001101101111000
3111120212100120102111012
42010113222301231320
54312041014313144
6145143304453052
713161065440454
oct2042752615570
9446770512435
10142131010424
1155306282887
122366747a188
1310531219a00
146c4466b664
153a6cd61e9e
hex2117ab1b78

142131010424 has 192 divisors, whose sum is σ = 332035200000. Its totient is φ = 56598497280.

The previous prime is 142131010421. The next prime is 142131010499. The reversal of 142131010424 is 424010131241.

142131010424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142131010424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142131010421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13532327 + ... + 13542825.

It is an arithmetic number, because the mean of its divisors is an integer number (1729350000).

Almost surely, 2142131010424 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 142131010424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166017600000).

142131010424 is an abundant number, since it is smaller than the sum of its proper divisors (189904189576).

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

142131010424 is a wasteful number, since it uses less digits than its factorization.

142131010424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10598 (or 10581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 142131010424 its reverse (424010131241), we get a palindrome (566141141665).

The spelling of 142131010424 in words is "one hundred forty-two billion, one hundred thirty-one million, ten thousand, four hundred twenty-four".