Search a number
-
+
142314210 = 23253742737
BaseRepresentation
bin10000111101110…
…00101011100010
3100220210022101200
420132320223202
5242413023320
622042142030
73345436143
oct1036705342
9326708350
10142314210
1173372855
123b7b1916
132363a7bc
1414c87aca
15c762290
hex87b8ae2

142314210 has 48 divisors (see below), whose sum is σ = 380026296. Its totient is φ = 36923904.

The previous prime is 142314203. The next prime is 142314217. The reversal of 142314210 is 12413241.

142314210 is a `hidden beast` number, since 14 + 231 + 421 + 0 = 666.

142314210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142314203) and next prime (142314217).

It can be written as a sum of positive squares in 4 ways, for example, as 140351409 + 1962801 = 11847^2 + 1401^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (142314217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18039 + ... + 24698.

Almost surely, 2142314210 is an apocalyptic number.

142314210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142314210 is an abundant number, since it is smaller than the sum of its proper divisors (237712086).

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

142314210 is a wasteful number, since it uses less digits than its factorization.

142314210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42787 (or 42784 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142314210 is about 11929.5519614108. The cubic root of 142314210 is about 522.0948653940.

Adding to 142314210 its reverse (12413241), we get a palindrome (154727451).

The spelling of 142314210 in words is "one hundred forty-two million, three hundred fourteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 42737 85474 128211 213685 256422 384633 427370 641055 769266 1282110 1581269 1923165 3162538 3846330 4743807 7906345 9487614 14231421 15812690 23719035 28462842 47438070 71157105 142314210