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142340636660 = 22561233500741
BaseRepresentation
bin1000010010010000101…
…0011011111111110100
3111121101222000112121212
42010210022123333310
54313003200333120
6145220153500552
713166222306615
oct2044412337764
9447358015555
10142340636660
1155403640102
1223705711758
13105657946c1
146c64437c0c
153a8146d6c5
hex212429bff4

142340636660 has 48 divisors (see below), whose sum is σ = 305120127312. Its totient is φ = 55762406400.

The previous prime is 142340636657. The next prime is 142340636677. The reversal of 142340636660 is 66636043241.

142340636660 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 8 ways, for example, as 82544737636 + 59795899024 = 287306^2 + 244532^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 33890 + ... + 534630.

It is an arithmetic number, because the mean of its divisors is an integer number (6356669319).

Almost surely, 2142340636660 is an apocalyptic number.

142340636660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142340636660 is an abundant number, since it is smaller than the sum of its proper divisors (162779490652).

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

142340636660 is a wasteful number, since it uses less digits than its factorization.

142340636660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501044 (or 501042 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 41.

The spelling of 142340636660 in words is "one hundred forty-two billion, three hundred forty million, six hundred thirty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 61 122 233 244 305 466 610 932 1165 1220 2330 4660 14213 28426 56852 71065 142130 284260 500741 1001482 2002964 2503705 5007410 10014820 30545201 61090402 116672653 122180804 152726005 233345306 305452010 466690612 583363265 610904020 1166726530 2333453060 7117031833 14234063666 28468127332 35585159165 71170318330 142340636660