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1414202404104 = 2332717238218741
BaseRepresentation
bin10100100101000101000…
…010000010110100001000
312000012022012022200021200
4110211011002002310020
5141132241303412404
63001401533304200
7204113153045010
oct24450502026410
95005265280250
101414202404104
114a583a430746
121aa0b9635060
13a3488132399
144c63a92cc40
1526bbee24839
hex14945082d08

1414202404104 has 384 divisors, whose sum is σ = 4842737902080. Its totient is φ = 363270758400.

The previous prime is 1414202404093. The next prime is 1414202404133. The reversal of 1414202404104 is 4014042024141.

It is a happy number.

1414202404104 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 2 + 0 + 240 + 410 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161785174 + ... + 161793914.

It is an arithmetic number, because the mean of its divisors is an integer number (12611296620).

Almost surely, 21414202404104 is an apocalyptic number.

1414202404104 is a gapful number since it is divisible by the number (14) 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 1414202404104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421368951040).

1414202404104 is an abundant number, since it is smaller than the sum of its proper divisors (3428535497976).

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

1414202404104 is a wasteful number, since it uses less digits than its factorization.

1414202404104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9621 (or 9614 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1414202404104 its reverse (4014042024141), we get a palindrome (5428244428245).

The spelling of 1414202404104 in words is "one trillion, four hundred fourteen billion, two hundred two million, four hundred four thousand, one hundred four".