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14011112400 = 24352231992551
BaseRepresentation
bin11010000110010000…
…01001101111010000
31100011110101020220220
431003020021233100
5212143321044100
610234150433040
71004131330125
oct150310115720
940143336826
1014011112400
115a3a9a913a
122870362780
1314239ccb6c
1496cb6a74c
155700caaa0
hex343209bd0

14011112400 has 240 divisors, whose sum is σ = 47087462400. Its totient is φ = 3554496000.

The previous prime is 14011112393. The next prime is 14011112407. The reversal of 14011112400 is 421111041.

It is an interprime number because it is at equal distance from previous prime (14011112393) and next prime (14011112407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×140111124002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14011112400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011112407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5491125 + ... + 5493675.

It is an arithmetic number, because the mean of its divisors is an integer number (196197760).

Almost surely, 214011112400 is an apocalyptic number.

14011112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14011112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23543731200).

14011112400 is an abundant number, since it is smaller than the sum of its proper divisors (33076350000).

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

14011112400 is a wasteful number, since it uses less digits than its factorization.

14011112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 14011112400 its reverse (421111041), we get a palindrome (14432223441).

The spelling of 14011112400 in words is "fourteen billion, eleven million, one hundred twelve thousand, four hundred".