Search a number
-
+
461411541146130 = 23565632343499117
BaseRepresentation
bin110100011101001101011111…
…1000000010101101000010010
32020111201111211122100101202120
41220322122333000111220102
5440434231314013134010
64313201311414555110
7166121612061561351
oct15072327700255022
92214644748311676
10461411541146130
11124024599003993
1243900793668a96
1316a5cbc9a8ac53
1481d261b283998
15385258e174e70
hex1a3a6bf015a12

461411541146130 has 32 divisors (see below), whose sum is σ = 1107556431159744. Its totient is φ = 123024329593536.

The previous prime is 461411541146113. The next prime is 461411541146201. The reversal of 461411541146130 is 31641145114164.

It is a happy number.

It is a super-2 number, since 2×4614115411461302 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1171552669 + ... + 1171946448.

It is an arithmetic number, because the mean of its divisors is an integer number (34611138473742).

Almost surely, 2461411541146130 is an apocalyptic number.

461411541146130 is an abundant number, since it is smaller than the sum of its proper divisors (646144890013614).

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

461411541146130 is a wasteful number, since it uses less digits than its factorization.

461411541146130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343505690.

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 461411541146130 in words is "four hundred sixty-one trillion, four hundred eleven billion, five hundred forty-one million, one hundred forty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 6563 13126 19689 32815 39378 65630 98445 196890 2343499117 4686998234 7030497351 11717495585 14060994702 23434991170 35152486755 70304973510 15380384704871 30760769409742 46141154114613 76901923524355 92282308229226 153803847048710 230705770573065 461411541146130