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14301904900 = 2252143019049
BaseRepresentation
bin11010101000111010…
…11100000000000100
31100220201120001020111
431110131130000010
5213242241424100
610323055242404
71014262120513
oct152435340004
940821501214
1014301904900
11607a063918
122931819404
13146c025a2a
1499962467a
1558a8bb6ba
hex35475c004

14301904900 has 18 divisors (see below), whose sum is σ = 31035133850. Its totient is φ = 5720761920.

The previous prime is 14301904879. The next prime is 14301904907. The reversal of 14301904900 is 940910341.

It can be written as a sum of positive squares in 3 ways, for example, as 1756112836 + 12545792064 = 41906^2 + 112008^2 .

It is not an unprimeable number, because it can be changed into a prime (14301904907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71509425 + ... + 71509624.

Almost surely, 214301904900 is an apocalyptic number.

14301904900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14301904900 is an abundant number, since it is smaller than the sum of its proper divisors (16733228950).

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

14301904900 is a wasteful number, since it uses less digits than its factorization.

14301904900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143019063 (or 143019056 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 14301904900 in words is "fourteen billion, three hundred one million, nine hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 143019049 286038098 572076196 715095245 1430190490 2860380980 3575476225 7150952450 14301904900