Search a number
-
+
142042131 = 3273114789
BaseRepresentation
bin10000111011101…
…10010000010011
3100220021111011200
420131312100103
5242330322011
622032242243
73343224000
oct1035662023
9326244150
10142042131
11731a73a0
123b6a0383
13235739ca
1414c168a7
15c70b856
hex8776413

142042131 has 96 divisors (see below), whose sum is σ = 269568000. Its totient is φ = 71406720.

The previous prime is 142042129. The next prime is 142042141. The reversal of 142042131 is 131240241.

It is not a de Polignac number, because 142042131 - 21 = 142042129 is a prime.

It is a super-2 number, since 2×1420421312 = 40351933958042322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142042111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1595935 + ... + 1596023.

It is an arithmetic number, because the mean of its divisors is an integer number (2808000).

Almost surely, 2142042131 is an apocalyptic number.

142042131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

142042131 is a deficient number, since it is larger than the sum of its proper divisors (127525869).

142042131 is a wasteful number, since it uses less digits than its factorization.

142042131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

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

The square root of 142042131 is about 11918.1429341991. The cubic root of 142042131 is about 521.7619361888.

Adding to 142042131 its reverse (131240241), we get a palindrome (273282372).

The spelling of 142042131 in words is "one hundred forty-two million, forty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 47 49 63 77 89 99 141 147 231 267 329 343 423 441 517 539 623 693 801 979 987 1029 1551 1617 1869 2303 2937 2961 3087 3619 3773 4183 4361 4653 4851 5607 6853 6909 8811 10857 11319 12549 13083 16121 20559 20727 25333 29281 30527 32571 33957 37647 39249 46013 47971 48363 61677 75999 87843 91581 138039 143913 145089 177331 204967 227997 263529 274743 322091 335797 414117 431739 531993 614901 966273 1007391 1434769 1595979 1844703 2254637 2898819 3022173 4304307 6763911 12912921 15782459 20291733 47347377 142042131