Search a number
-
+
142434550434 = 231119137382727
BaseRepresentation
bin1000010010100111000…
…0101100001010100010
3111121122111201212002210
42010221300230022202
54313201221103214
6145233350422550
713201442462661
oct2045160541242
9447574655083
10142434550434
11554516549a0
1223731061a56
131057c086b97
146c72ac2dd8
153a8981eb59
hex2129c2c2a2

142434550434 has 64 divisors (see below), whose sum is σ = 327364623360. Its totient is φ = 40860025920.

The previous prime is 142434550327. The next prime is 142434550451. The reversal of 142434550434 is 434055434241.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 142434550392 and 142434550401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1680379 + ... + 1763105.

It is an arithmetic number, because the mean of its divisors is an integer number (5115072240).

Almost surely, 2142434550434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142434550434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163682311680).

142434550434 is an abundant number, since it is smaller than the sum of its proper divisors (184930072926).

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

142434550434 is a wasteful number, since it uses less digits than its factorization.

142434550434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84135.

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 142434550434 its reverse (434055434241), we get a palindrome (576489984675).

The spelling of 142434550434 in words is "one hundred forty-two billion, four hundred thirty-four million, five hundred fifty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1373 2746 4119 8238 15103 26087 30206 45309 52174 78261 82727 90618 156522 165454 248181 286957 496362 573914 860871 909997 1571813 1721742 1819994 2729991 3143626 4715439 5459982 9430878 17289943 34579886 51869829 103739658 113584171 227168342 340752513 681505026 1249425881 2158099249 2498851762 3748277643 4316198498 6474297747 7496555286 12948595494 23739091739 47478183478 71217275217 142434550434