Search a number
-
+
461460141 = 32319911669
BaseRepresentation
bin11011100000010…
…101001010101101
31012011022121022100
4123200111022231
51421113211031
6113442405313
714302226562
oct3340251255
91164277270
10461460141
1121753391a
1210a660839
13747b004c
1445402869
152a7a3de6
hex1b8152ad

461460141 has 24 divisors (see below), whose sum is σ = 689162240. Its totient is φ = 297237600.

The previous prime is 461460127. The next prime is 461460143. The reversal of 461460141 is 141064164.

461460141 is a `hidden beast` number, since 4 + 6 + 14 + 601 + 41 = 666.

It is not a de Polignac number, because 461460141 - 226 = 394351277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461460143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275655 + ... + 277323.

Almost surely, 2461460141 is an apocalyptic number.

It is an amenable number.

461460141 is a deficient number, since it is larger than the sum of its proper divisors (227702099).

461460141 is a wasteful number, since it uses less digits than its factorization.

461460141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 461460141 is about 21481.6233325138. The cubic root of 461460141 is about 772.7601737783.

The spelling of 461460141 in words is "four hundred sixty-one million, four hundred sixty thousand, one hundred forty-one".

Divisors: 1 3 9 31 93 279 991 1669 2973 5007 8919 15021 30721 51739 92163 155217 276489 465651 1653979 4961937 14885811 51273349 153820047 461460141