Search a number
-
+
142541166132 = 22323959476837
BaseRepresentation
bin1000010011000000011…
…1011001011000110100
3111121220221100111100100
42010300013121120310
54313411014304012
6145252115514100
713204205630631
oct2046007313064
9447827314310
10142541166132
11554a6854942
12237608b8930
13105981a59b1
146c82d17188
153a93d7e8dc
hex21301d9634

142541166132 has 18 divisors (see below), whose sum is σ = 360312392258. Its totient is φ = 47513722032.

The previous prime is 142541166121. The next prime is 142541166191. The reversal of 142541166132 is 231661145241.

142541166132 is a `hidden beast` number, since 1 + 4 + 25 + 4 + 1 + 16 + 613 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112127201316 + 30413964816 = 334854^2 + 174396^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3959476837 = 142541166132 / (1 + 4 + 2 + 5 + 4 + 1 + 1 + 6 + 6 + 1 + 3 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1979738383 + ... + 1979738454.

Almost surely, 2142541166132 is an apocalyptic number.

142541166132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142541166132 is an abundant number, since it is smaller than the sum of its proper divisors (217771226126).

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

142541166132 is a wasteful number, since it uses less digits than its factorization.

142541166132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959476847 (or 3959476842 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 142541166132 in words is "one hundred forty-two billion, five hundred forty-one million, one hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3959476837 7918953674 11878430511 15837907348 23756861022 35635291533 47513722044 71270583066 142541166132