Search a number
-
+
15141105024 = 27339429961
BaseRepresentation
bin11100001100111101…
…01110110110000000
31110002012122211101120
432012132232312000
5222002110330044
610542234232240
71044132161223
oct160636566600
943065584346
1015141105024
11646a839341
122b26885680
131573b52356
14a38c755ba
155d93d8519
hex3867aed80

15141105024 has 32 divisors (see below), whose sum is σ = 40218561240. Its totient is φ = 5047034880.

The previous prime is 15141105017. The next prime is 15141105043. The reversal of 15141105024 is 42050114151.

15141105024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×151411050242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 15141104985 and 15141105003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19714597 + ... + 19715364.

Almost surely, 215141105024 is an apocalyptic number.

It is an amenable number.

15141105024 is an abundant number, since it is smaller than the sum of its proper divisors (25077456216).

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

15141105024 is an equidigital number, since it uses as much as digits as its factorization.

15141105024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39429978 (or 39429966 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 15141105024 its reverse (42050114151), we get a palindrome (57191219175).

The spelling of 15141105024 in words is "fifteen billion, one hundred forty-one million, one hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 39429961 78859922 118289883 157719844 236579766 315439688 473159532 630879376 946319064 1261758752 1892638128 2523517504 3785276256 5047035008 7570552512 15141105024