Search a number
-
+
142144000000 = 212562221
BaseRepresentation
bin1000010001100001110…
…0010101000000000000
3111120220021000100211121
42010120130111000000
54312102331000000
6145144451122024
713161314031112
oct2043034250000
9446807010747
10142144000000
1155312645072
122366b8a3314
1310533b17252
146c4628d3b2
153a6e07ab1a
hex2118715000

142144000000 has 182 divisors, whose sum is σ = 355472051462. Its totient is φ = 56832000000.

The previous prime is 142143999967. The next prime is 142144000051. The reversal of 142144000000 is 441241.

It can be written as a sum of positive squares in 7 ways, for example, as 141664915456 + 479084544 = 376384^2 + 21888^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 63998890 + ... + 64001110.

Almost surely, 2142144000000 is an apocalyptic number.

142144000000 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 142144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177736025731).

142144000000 is an abundant number, since it is smaller than the sum of its proper divisors (213328051462).

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

142144000000 is an frugal number, since it uses more digits than its factorization.

142144000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 142144000000 its reverse (441241), we get a palindrome (142144441241).

The spelling of 142144000000 in words is "one hundred forty-two billion, one hundred forty-four million", and thus it is an aban number.