Search a number
-
+
142886164464 = 2432992265031
BaseRepresentation
bin1000010100010010101…
…1011101011111110000
3111122210222112020002100
42011010223131133300
54320112324230324
6145350242220400
713215565233651
oct2050453353760
9448728466070
10142886164464
115566357322a
1223838354700
13106217ca414
146cb6a81528
153ab42cb4c9
hex2144add7f0

142886164464 has 30 divisors (see below), whose sum is σ = 399882807896. Its totient is φ = 47628721440.

The previous prime is 142886164457. The next prime is 142886164469. The reversal of 142886164464 is 464461688241.

142886164464 is a `hidden beast` number, since 1 + 42 + 8 + 86 + 1 + 64 + 464 = 666.

142886164464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142886164464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142886164469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 496132372 + ... + 496132659.

Almost surely, 2142886164464 is an apocalyptic number.

It is an amenable number.

142886164464 is an abundant number, since it is smaller than the sum of its proper divisors (256996643432).

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

142886164464 is a wasteful number, since it uses less digits than its factorization.

142886164464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992265045 (or 992265036 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 142886164464 in words is "one hundred forty-two billion, eight hundred eighty-six million, one hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 992265031 1984530062 2976795093 3969060124 5953590186 7938120248 8930385279 11907180372 15876240496 17860770558 23814360744 35721541116 47628721488 71443082232 142886164464