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142022430000 = 2433541147819
BaseRepresentation
bin1000010001000100110…
…0100100110100110000
3111120120210020222011000
42010101030210310300
54311330220230000
6145124425322000
713155306510453
oct2042114446460
9446523228130
10142022430000
115525aa607a0
1223637036300
1310514890839
146c3408549a
153a63565000
hex2111324d30

142022430000 has 400 divisors, whose sum is σ = 555729609600. Its totient is φ = 34428960000.

The previous prime is 142022429999. The next prime is 142022430007. The reversal of 142022430000 is 34220241.

142022430000 is a `hidden beast` number, since 1 + 420 + 2 + 243 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (142022430007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2946091 + ... + 2993909.

It is an arithmetic number, because the mean of its divisors is an integer number (1389324024).

Almost surely, 2142022430000 is an apocalyptic number.

142022430000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142022430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277864804800).

142022430000 is an abundant number, since it is smaller than the sum of its proper divisors (413707179600).

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

142022430000 is a wasteful number, since it uses less digits than its factorization.

142022430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47867 (or 47840 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 142022430000 its reverse (34220241), we get a palindrome (142056650241).

The spelling of 142022430000 in words is "one hundred forty-two billion, twenty-two million, four hundred thirty thousand".