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1214341414300 = 2252717616132729
BaseRepresentation
bin10001101010111100011…
…000110111110110011100
311022002102112121102221001
4101222330120313312130
5124343432400224200
62325505530520044
7153506340466360
oct21527430676634
94262375542831
101214341414300
11428aaa085a03
12177420596024
138a686864b81
1442abb0b52a0
15218c3cad76a
hex11abc637d9c

1214341414300 has 288 divisors, whose sum is σ = 3247468398720. Its totient is φ = 384661094400.

The previous prime is 1214341414291. The next prime is 1214341414309. The reversal of 1214341414300 is 34141434121.

It is an interprime number because it is at equal distance from previous prime (1214341414291) and next prime (1214341414309).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214341414309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 444975336 + ... + 444978064.

It is an arithmetic number, because the mean of its divisors is an integer number (11275931940).

Almost surely, 21214341414300 is an apocalyptic number.

1214341414300 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 1214341414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623734199360).

1214341414300 is an abundant number, since it is smaller than the sum of its proper divisors (2033126984420).

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

1214341414300 is a wasteful number, since it uses less digits than its factorization.

1214341414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1214341414300 its reverse (34141434121), we get a palindrome (1248482848421).

The spelling of 1214341414300 in words is "one trillion, two hundred fourteen billion, three hundred forty-one million, four hundred fourteen thousand, three hundred".