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14122132400 = 245235305331
BaseRepresentation
bin11010010011011111…
…01010001110110000
31100110012021122201202
431021233222032300
5212410231214100
610253154150332
71006650100445
oct151157521660
940405248652
1014122132400
115a97637102
1228a15823a8
131440a0157c
1497d7c99cc
15579c0a7d5
hex349bea3b0

14122132400 has 30 divisors (see below), whose sum is σ = 33928424052. Its totient is φ = 5648852800.

The previous prime is 14122132391. The next prime is 14122132403. The reversal of 14122132400 is 423122141.

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

It is not an unprimeable number, because it can be changed into a prime (14122132403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17652266 + ... + 17653065.

Almost surely, 214122132400 is an apocalyptic number.

14122132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122132400 is an abundant number, since it is smaller than the sum of its proper divisors (19806291652).

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

14122132400 is a wasteful number, since it uses less digits than its factorization.

14122132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35305349 (or 35305338 counting only the distinct ones).

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

Adding to 14122132400 its reverse (423122141), we get a palindrome (14545254541).

The spelling of 14122132400 in words is "fourteen billion, one hundred twenty-two million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 35305331 70610662 141221324 176526655 282442648 353053310 564885296 706106620 882633275 1412213240 1765266550 2824426480 3530533100 7061066200 14122132400