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14135210000 = 24541413521
BaseRepresentation
bin11010010101000011…
…00011000000010000
31100111002220001211022
431022201203000100
5212422103210000
610254342335012
71010166205532
oct151241430020
940432801738
1014135210000
115aa3a5953a
1228a5a2a468
13144362cbb2
14981431852
1557ae40585
hex34a863010

14135210000 has 50 divisors (see below), whose sum is σ = 34222781142. Its totient is φ = 5654080000.

The previous prime is 14135209967. The next prime is 14135210009. The reversal of 14135210000 is 1253141.

It can be written as a sum of positive squares in 5 ways, for example, as 8856315664 + 5278894336 = 94108^2 + 72656^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (14135210009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 696761 + ... + 716760.

Almost surely, 214135210000 is an apocalyptic number.

14135210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14135210000 is an abundant number, since it is smaller than the sum of its proper divisors (20087571142).

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

14135210000 is an equidigital number, since it uses as much as digits as its factorization.

14135210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413549 (or 1413528 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 14135210000 its reverse (1253141), we get a palindrome (14136463141).

The spelling of 14135210000 in words is "fourteen billion, one hundred thirty-five million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1413521 2827042 5654084 7067605 11308168 14135210 22616336 28270420 35338025 56540840 70676050 113081680 141352100 176690125 282704200 353380250 565408400 706760500 883450625 1413521000 1766901250 2827042000 3533802500 7067605000 14135210000