Search a number
-
+
142267006404 = 223228871368847
BaseRepresentation
bin1000010001111111000…
…1100011110111000100
3111121012211110201220100
42010133301203313010
54312330323201104
6145205003404100
713164336413265
oct2043761436704
9447184421810
10142267006404
115537601a656
12236a4b23630
13105534546c3
146c5874c96c
153a79c77139
hex211fc63dc4

142267006404 has 36 divisors (see below), whose sum is σ = 359744205184. Its totient is φ = 47405874672.

The previous prime is 142267006403. The next prime is 142267006421. The reversal of 142267006404 is 404600762241.

142267006404 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 6 + 7 + 0 + 0 + 640 + 4 = 666.

142267006404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1422670064042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142267006403) 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 11 ways as a sum of consecutive naturals, for example, 580492 + ... + 788355.

Almost surely, 2142267006404 is an apocalyptic number.

It is an amenable number.

142267006404 is an abundant number, since it is smaller than the sum of its proper divisors (217477198780).

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

142267006404 is a wasteful number, since it uses less digits than its factorization.

142267006404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371744 (or 1371739 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 142267006404 its reverse (404600762241), we get a palindrome (546867768645).

The spelling of 142267006404 in words is "one hundred forty-two billion, two hundred sixty-seven million, six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 2887 5774 8661 11548 17322 25983 34644 51966 103932 1368847 2737694 4106541 5475388 8213082 12319623 16426164 24639246 49278492 3951861289 7903722578 11855583867 15807445156 23711167734 35566751601 47422335468 71133503202 142267006404