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14134210400 = 255217667763
BaseRepresentation
bin11010010100111011…
…01110111101100000
31100111001000021122002
431022131232331200
5212421324213100
610254305103132
71010154543332
oct151235567540
940431007562
1014134210400
115aa3436522
1228a5627aa8
13144336cc0b
14981251452
1557ace42d5
hex34a76ef60

14134210400 has 36 divisors (see below), whose sum is σ = 34505143092. Its totient is φ = 5653683840.

The previous prime is 14134210379. The next prime is 14134210439. The reversal of 14134210400 is 401243141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8833082 + ... + 8834681.

It is an arithmetic number, because the mean of its divisors is an integer number (958476197).

Almost surely, 214134210400 is an apocalyptic number.

14134210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14134210400 is an abundant number, since it is smaller than the sum of its proper divisors (20370932692).

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

14134210400 is a wasteful number, since it uses less digits than its factorization.

14134210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17667783 (or 17667770 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14134210400 its reverse (401243141), we get a palindrome (14535453541).

The spelling of 14134210400 in words is "fourteen billion, one hundred thirty-four million, two hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 17667763 35335526 70671052 88338815 141342104 176677630 282684208 353355260 441694075 565368416 706710520 883388150 1413421040 1766776300 2826842080 3533552600 7067105200 14134210400