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142105321332 = 223213854335543
BaseRepresentation
bin1000010001011000100…
…0110001111101110100
3111120210120020021200100
42010112020301331310
54312012430240312
6145140550114100
713160334205242
oct2042610617564
9446716207610
10142105321332
11552a2827227
122365a94b930
1310528ac3c70
146c410a1792
153a6a98a5dc
hex2116231f74

142105321332 has 72 divisors (see below), whose sum is σ = 386898430464. Its totient is φ = 43718366016.

The previous prime is 142105321321. The next prime is 142105321349. The reversal of 142105321332 is 233123501241.

142105321332 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 0 + 5 + 321 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142105321296 and 142105321305.

It is a congruent 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, 3980353 + ... + 4015895.

It is an arithmetic number, because the mean of its divisors is an integer number (5373589312).

Almost surely, 2142105321332 is an apocalyptic number.

142105321332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142105321332 is an abundant number, since it is smaller than the sum of its proper divisors (244793109132).

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

142105321332 is a wasteful number, since it uses less digits than its factorization.

142105321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44109 (or 44104 counting only the distinct ones).

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

Adding to 142105321332 its reverse (233123501241), we get a palindrome (375228822573).

The spelling of 142105321332 in words is "one hundred forty-two billion, one hundred five million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 8543 17086 25629 34172 35543 51258 71086 76887 102516 106629 111059 142172 153774 213258 222118 307548 319887 333177 426516 444236 462059 639774 666354 924118 999531 1279548 1332708 1386177 1848236 1999062 2772354 3998124 4158531 5544708 8317062 16634124 303643849 607287698 910931547 1214575396 1821863094 2732794641 3643726188 3947370037 5465589282 7894740074 10931178564 11842110111 15789480148 23684220222 35526330333 47368440444 71052660666 142105321332