Search a number
-
+
142442113632 = 25371367397613
BaseRepresentation
bin1000010010101000110…
…1100010101001100000
3111121200000222002212020
42010222031202221200
54313210140114012
6145234220501440
713201563663060
oct2045215425140
9447600862766
10142442113632
1155455950275
12237336aa880
1310580804550
146c73ad13a0
153a8a315a8c
hex212a362a60

142442113632 has 384 divisors, whose sum is σ = 469006562304. Its totient is φ = 36853014528.

The previous prime is 142442113607. The next prime is 142442113721. The reversal of 142442113632 is 236311244241.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142442113593 and 142442113602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232368558 + ... + 232369170.

It is an arithmetic number, because the mean of its divisors is an integer number (1221371256).

Almost surely, 2142442113632 is an apocalyptic number.

142442113632 is a gapful number since it is divisible by the number (12) 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 142442113632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234503281152).

142442113632 is an abundant number, since it is smaller than the sum of its proper divisors (326564448672).

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

142442113632 is a wasteful number, since it uses less digits than its factorization.

142442113632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 142442113632 its reverse (236311244241), we get a palindrome (378753357873).

The spelling of 142442113632 in words is "one hundred forty-two billion, four hundred forty-two million, one hundred thirteen thousand, six hundred thirty-two".