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142436356461 = 32713117258737
BaseRepresentation
bin1000010010100111011…
…1100101000101101101
3111121122122010121111200
42010221313211011231
54313202201401321
6145233453240113
713201464024240
oct2045167450555
9447578117450
10142436356461
1155452678883
1223731793039
131057c569c39
146c73033257
153a89a79d26
hex2129de516d

142436356461 has 24 divisors (see below), whose sum is σ = 236927955264. Its totient is φ = 80770884480.

The previous prime is 142436356453. The next prime is 142436356463. The reversal of 142436356461 is 164653634241.

142436356461 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 3 + 635 + 6 + 4 + 6 + 1 = 666.

142436356461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142436356461 - 23 = 142436356453 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142436356463) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8621116 + ... + 8637621.

It is an arithmetic number, because the mean of its divisors is an integer number (9871998136).

Almost surely, 2142436356461 is an apocalyptic number.

It is an amenable number.

142436356461 is a deficient number, since it is larger than the sum of its proper divisors (94491598803).

142436356461 is a wasteful number, since it uses less digits than its factorization.

142436356461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17258881 (or 17258878 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 142436356461 in words is "one hundred forty-two billion, four hundred thirty-six million, three hundred fifty-six thousand, four hundred sixty-one".

Divisors: 1 3 7 9 21 63 131 393 917 1179 2751 8253 17258737 51776211 120811159 155328633 362433477 1087300431 2260894547 6782683641 15826261829 20348050923 47478785487 142436356461