Search a number
-
+
142132044100 = 225219113662003
BaseRepresentation
bin1000010001011110111…
…0101110000101000100
3111120212102111221102111
42010113232232011010
54312041300402400
6145143342550404
713161110304214
oct2042756560504
9446772457374
10142132044100
1155306919462
1223667898404
13105314bc357
146c4485a244
153a6ceb83ba
hex2117bae144

142132044100 has 72 divisors (see below), whose sum is σ = 327533099040. Its totient is φ = 53383841280.

The previous prime is 142132044083. The next prime is 142132044149. The reversal of 142132044100 is 1440231241.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116302 + ... + 545701.

It is an arithmetic number, because the mean of its divisors is an integer number (4549070820).

Almost surely, 2142132044100 is an apocalyptic number.

142132044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142132044100 is an abundant number, since it is smaller than the sum of its proper divisors (185401054940).

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

142132044100 is a wasteful number, since it uses less digits than its factorization.

142132044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662149 (or 662142 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 142132044100 its reverse (1440231241), we get a palindrome (143572275341).

The spelling of 142132044100 in words is "one hundred forty-two billion, one hundred thirty-two million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 113 190 226 380 452 475 565 950 1130 1900 2147 2260 2825 4294 5650 8588 10735 11300 21470 42940 53675 107350 214700 662003 1324006 2648012 3310015 6620030 12578057 13240060 16550075 25156114 33100150 50312228 62890285 66200300 74806339 125780570 149612678 251561140 299225356 314451425 374031695 628902850 748063390 1257805700 1421320441 1496126780 1870158475 2842640882 3740316950 5685281764 7106602205 7480633900 14213204410 28426408820 35533011025 71066022050 142132044100