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420313134141 = 32241193781989
BaseRepresentation
bin1100001110111001001…
…11010111010000111101
31111011220100022111112100
412013130213113100331
523341300130243031
6521031133055313
742236515456305
oct6073447272075
91434810274470
10420313134141
1115228789676a
1269562027539
1330834b62044
14164b3cba605
15adeedb9de6
hex61dc9d743d

420313134141 has 12 divisors (see below), whose sum is σ = 609638140540. Its totient is φ = 279046062720.

The previous prime is 420313134077. The next prime is 420313134167. The reversal of 420313134141 is 141431313024.

420313134141 is a `hidden beast` number, since 4 + 2 + 0 + 313 + 1 + 341 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 381712673241 + 38600460900 = 617829^2 + 196470^2 .

It is not a de Polignac number, because 420313134141 - 26 = 420313134077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420313114141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96888826 + ... + 96893163.

Almost surely, 2420313134141 is an apocalyptic number.

It is an amenable number.

420313134141 is a deficient number, since it is larger than the sum of its proper divisors (189325006399).

420313134141 is a wasteful number, since it uses less digits than its factorization.

420313134141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193782236 (or 193782233 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 420313134141 its reverse (141431313024), we get a palindrome (561744447165).

The spelling of 420313134141 in words is "four hundred twenty billion, three hundred thirteen million, one hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 241 723 2169 193781989 581345967 1744037901 46701459349 140104378047 420313134141