Search a number
-
+
142238707776 = 2633118119227
BaseRepresentation
bin1000010001111000010…
…1100111000001000000
3111121010212020000111000
42010132011213001000
54312301102122101
6145202113052000
713163544032064
oct2043605470100
9447125200430
10142238707776
1155361051460
1223697557000
131054a626c59
146c54aa3aa4
153a77537486
hex211e167040

142238707776 has 224 divisors, whose sum is σ = 456781570560. Its totient is φ = 43044825600.

The previous prime is 142238707771. The next prime is 142238707817. The reversal of 142238707776 is 677707832241.

142238707776 is a `hidden beast` number, since 1 + 422 + 3 + 87 + 0 + 77 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (142238707771) 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 31 ways as a sum of consecutive naturals, for example, 15410875 + ... + 15420101.

It is an arithmetic number, because the mean of its divisors is an integer number (2039203440).

Almost surely, 2142238707776 is an apocalyptic number.

142238707776 is a gapful number since it is divisible by the number (16) 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 142238707776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228390785280).

142238707776 is an abundant number, since it is smaller than the sum of its proper divisors (314542862784).

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

142238707776 is a wasteful number, since it uses less digits than its factorization.

142238707776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10070 (or 10054 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 142238707776 in words is "one hundred forty-two billion, two hundred thirty-eight million, seven hundred seven thousand, seven hundred seventy-six".