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2430414013 = 193133491171
BaseRepresentation
bin1001000011011101…
…0010110010111101
320021101020211020211
42100313102302331
514434141222023
61041100112421
7114141115066
oct22067226275
96241224224
102430414013
1110379a6025
12579b35711
132c96a7201
14190ad956d
15e3582a0d
hex90dd2cbd

2430414013 has 16 divisors (see below), whose sum is σ = 2576056000. Its totient is φ = 2286610560.

The previous prime is 2430414001. The next prime is 2430414017. The reversal of 2430414013 is 3104140342.

It is a cyclic number.

It is not a de Polignac number, because 2430414013 - 217 = 2430282941 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 (2430414017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2074918 + ... + 2076088.

It is an arithmetic number, because the mean of its divisors is an integer number (161003500).

Almost surely, 22430414013 is an apocalyptic number.

It is an amenable number.

2430414013 is a deficient number, since it is larger than the sum of its proper divisors (145641987).

2430414013 is a wasteful number, since it uses less digits than its factorization.

2430414013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852.

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2430414013 is about 49299.2293347472. The cubic root of 2430414013 is about 1344.4977718875.

Adding to 2430414013 its reverse (3104140342), we get a palindrome (5534554355).

The spelling of 2430414013 in words is "two billion, four hundred thirty million, four hundred fourteen thousand, thirteen".

Divisors: 1 19 313 349 1171 5947 6631 22249 109237 366523 408679 2075503 6963937 7764901 127916527 2430414013