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142356132 = 223219732851
BaseRepresentation
bin10000111110000…
…10111010100100
3100220212102220100
420133002322210
5242420344012
622043104100
73346002312
oct1037027244
9326772810
10142356132
11733a12a6
123b812030
13236538c9
1414c990b2
15c76e8dc
hex87c2ea4

142356132 has 72 divisors (see below), whose sum is σ = 384107360. Its totient is φ = 44323200.

The previous prime is 142356119. The next prime is 142356143. The reversal of 142356132 is 231653241.

142356132 is a `hidden beast` number, since 1 + 42 + 3 + 5 + 613 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142356096 and 142356105.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48507 + ... + 51357.

Almost surely, 2142356132 is an apocalyptic number.

142356132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142356132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192053680).

142356132 is an abundant number, since it is smaller than the sum of its proper divisors (241751228).

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

142356132 is a wasteful number, since it uses less digits than its factorization.

142356132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2948 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 142356132 is about 11931.3088971831. The cubic root of 142356132 is about 522.1461254711.

The spelling of 142356132 in words is "one hundred forty-two million, three hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 73 76 114 146 171 219 228 292 342 438 657 684 876 1314 1387 2628 2774 2851 4161 5548 5702 8322 8553 11404 12483 16644 17106 24966 25659 34212 49932 51318 54169 102636 108338 162507 208123 216676 325014 416246 487521 624369 650028 832492 975042 1248738 1873107 1950084 2497476 3746214 3954337 7492428 7908674 11863011 15817348 23726022 35589033 47452044 71178066 142356132