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142412205 = 351323113281
BaseRepresentation
bin10000111110100…
…00100110101101
3100220222021211010
420133100212231
5242424142310
622044215433
73346324635
oct1037204655
9326867733
10142412205
117342a441
123b83a579
13236732a0
1414cb16c5
15c781320
hex87d09ad

142412205 has 64 divisors (see below), whose sum is σ = 259241472. Its totient is φ = 66232320.

The previous prime is 142412203. The next prime is 142412227. The reversal of 142412205 is 502214241.

142412205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142412205 - 21 = 142412203 is a prime.

It is a super-2 number, since 2×1424122052 = 40562472265924050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142412203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 506665 + ... + 506945.

It is an arithmetic number, because the mean of its divisors is an integer number (4050648).

Almost surely, 2142412205 is an apocalyptic number.

142412205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142412205 is a deficient number, since it is larger than the sum of its proper divisors (116829267).

142412205 is a wasteful number, since it uses less digits than its factorization.

142412205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 142412205 is about 11933.6584918457. The cubic root of 142412205 is about 522.2146729372.

Adding to 142412205 its reverse (502214241), we get a palindrome (644626446).

The spelling of 142412205 in words is "one hundred forty-two million, four hundred twelve thousand, two hundred five".

Divisors: 1 3 5 13 15 23 39 65 69 113 115 195 281 299 339 345 565 843 897 1405 1469 1495 1695 2599 3653 4215 4407 4485 6463 7345 7797 10959 12995 18265 19389 22035 31753 32315 33787 38985 54795 84019 95259 96945 101361 158765 168935 252057 412789 420095 476295 506805 730319 1238367 1260285 2063945 2190957 3651595 6191835 9494147 10954785 28482441 47470735 142412205