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1414424000000 = 29561116073
BaseRepresentation
bin10100100101010010001…
…111010111011000000000
312000012212122021220201002
4110211102033113120000
5141133220021000000
63001435531031132
7204121513426124
oct24452217273000
95005778256632
101414424000000
114a5943523a50
121aa15b89b4a8
13a34c200b30b
144c65c133584
1526bd45e78d5
hex149523d7600

1414424000000 has 280 divisors, whose sum is σ = 3853943325144. Its totient is φ = 514304000000.

The previous prime is 1414423999997. The next prime is 1414424000047. The reversal of 1414424000000 is 4244141.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 87991964 + ... + 88008036.

Almost surely, 21414424000000 is an apocalyptic number.

1414424000000 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 1414424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926971662572).

1414424000000 is an abundant number, since it is smaller than the sum of its proper divisors (2439519325144).

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

1414424000000 is an frugal number, since it uses more digits than its factorization.

1414424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16132 (or 16091 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1414424000000 its reverse (4244141), we get a palindrome (1414428244141).

The spelling of 1414424000000 in words is "one trillion, four hundred fourteen billion, four hundred twenty-four million", and thus it is an aban number.