Search a number
-
+
142642246240 = 255133834889
BaseRepresentation
bin1000010011011000100…
…0111111001001100000
3111122011222112220012001
42010312020333021200
54314112403334430
6145310130213344
713206544042054
oct2046610771140
9448158486161
10142642246240
115554891391a
122378a724254
13105b3107000
146c92509c64
153a9cb993ca
hex213623f260

142642246240 has 192 divisors, whose sum is σ = 369536126400. Its totient is φ = 52022710272.

The previous prime is 142642246199. The next prime is 142642246247. The reversal of 142642246240 is 42642246241.

It is a self number, because there is not a number n which added to its sum of digits gives 142642246240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142642246247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29173716 + ... + 29178604.

It is an arithmetic number, because the mean of its divisors is an integer number (1924667325).

Almost surely, 2142642246240 is an apocalyptic number.

142642246240 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 142642246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184768063200).

142642246240 is an abundant number, since it is smaller than the sum of its proper divisors (226893880160).

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

142642246240 is an equidigital number, since it uses as much as digits as its factorization.

142642246240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Subtracting from 142642246240 its reverse (42642246241), we obtain a palindrome (99999999999).

The spelling of 142642246240 in words is "one hundred forty-two billion, six hundred forty-two million, two hundred forty-six thousand, two hundred forty".