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142635135780 = 22325792417421
BaseRepresentation
bin1000010011010110110…
…1110111001100100100
3111122011111011122110200
42010311231313030210
54314104043321110
6145305313550500
713206426435624
oct2046555671444
9448144148420
10142635135780
11555448a7705
1223788275430
13105b17b7737
146c915b8884
153a9c2426c0
hex2135b77324

142635135780 has 36 divisors (see below), whose sum is σ = 432659912412. Its totient is φ = 38036036160.

The previous prime is 142635135779. The next prime is 142635135833. The reversal of 142635135780 is 87531536241.

It is a happy number.

142635135780 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 3 + 513 + 57 + 80 = 666.

142635135780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 46886973156 + 95748162624 = 216534^2 + 309432^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396208531 + ... + 396208890.

Almost surely, 2142635135780 is an apocalyptic number.

142635135780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142635135780 is an abundant number, since it is smaller than the sum of its proper divisors (290024776632).

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

142635135780 is a wasteful number, since it uses less digits than its factorization.

142635135780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792417436 (or 792417431 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 142635135780 in words is "one hundred forty-two billion, six hundred thirty-five million, one hundred thirty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 792417421 1584834842 2377252263 3169669684 3962087105 4754504526 7131756789 7924174210 9509009052 11886261315 14263513578 15848348420 23772522630 28527027156 35658783945 47545045260 71317567890 142635135780