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14410031104300 = 2252131938311031381
BaseRepresentation
bin1101000110110001100011…
…0010010000000100101100
31220000120210211210012221211
43101230120302100010230
53342043220430314200
650351513224404204
73015043001261446
oct321543062200454
956016724705854
1014410031104300
114656294987127
121748916316664
13806b24850260
1437b64096d496
1519ec8829aaba
hexd1b18c9012c

14410031104300 has 288 divisors, whose sum is σ = 35598041579520. Its totient is φ = 5019237964800.

The previous prime is 14410031104297. The next prime is 14410031104309. The reversal of 14410031104300 is 340113001441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14410031104309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10434489610 + ... + 10434490990.

It is an arithmetic number, because the mean of its divisors is an integer number (123604311040).

Almost surely, 214410031104300 is an apocalyptic number.

14410031104300 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 14410031104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17799020789760).

14410031104300 is an abundant number, since it is smaller than the sum of its proper divisors (21188010475220).

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

14410031104300 is a wasteful number, since it uses less digits than its factorization.

14410031104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 14410031104300 its reverse (340113001441), we get a palindrome (14750144105741).

The spelling of 14410031104300 in words is "fourteen trillion, four hundred ten billion, thirty-one million, one hundred four thousand, three hundred".