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142786492641 = 3213296892
BaseRepresentation
bin1000010011111010111…
…1001111100011100001
3111122120000222101001100
42010332233033203201
54314411320231031
6145332322025013
713213245106362
oct2047657174341
9448500871040
10142786492641
1155612286321
122380aaa8169
1310606c70100
146ca7737b69
153aaa68dde6
hex213ebcf8e1

142786492641 has 27 divisors (see below), whose sum is σ = 223355771769. Its totient is φ = 87859541952.

The previous prime is 142786492591. The next prime is 142786492747. The reversal of 142786492641 is 146294687241.

The square root of 142786492641 is 377871.

It is a perfect power (a square), and thus also a powerful number.

142786492641 is a `hidden beast` number, since 1 + 42 + 78 + 6 + 492 + 6 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15191795025 + 127594697616 = 123255^2 + 357204^2 .

It is a de Polignac number, because none of the positive numbers 2k-142786492641 is a prime.

It is a super-3 number, since 3×1427864926413 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (142786499641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14732125 + ... + 14741813.

Almost surely, 2142786492641 is an apocalyptic number.

142786492641 is the 377871-st square number.

142786492641 is the 188936-th centered octagonal number.

It is an amenable number.

142786492641 is a deficient number, since it is larger than the sum of its proper divisors (80569279128).

142786492641 is an frugal number, since it uses more digits than its factorization.

142786492641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19410 (or 9705 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 142786492641 in words is "one hundred forty-two billion, seven hundred eighty-six million, four hundred ninety-two thousand, six hundred forty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 9689 29067 87201 125957 377871 1133613 1637441 4912323 14736969 93876721 281630163 844890489 1220397373 3661192119 10983576357 15865165849 47595497547 142786492641