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4114133421420 = 223511107163419853
BaseRepresentation
bin111011110111100101011…
…101100000110101101100
3112120022022000212020112110
4323313211131200311230
51014401221123441140
612430001245204020
7603144030040641
oct73674535406554
915508260766473
104114133421420
111346881074440
1256541ab60610
1323ac6575cc19
141031a7487dc8
1572040dd0380
hex3bde5760d6c

4114133421420 has 384 divisors, whose sum is σ = 12807527362560. Its totient is φ = 978490782720.

The previous prime is 4114133421353. The next prime is 4114133421421. The reversal of 4114133421420 is 241243314114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4114133421421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4823133714 + ... + 4823134566.

It is an arithmetic number, because the mean of its divisors is an integer number (33352935840).

Almost surely, 24114133421420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114133421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403763681280).

4114133421420 is an abundant number, since it is smaller than the sum of its proper divisors (8693393941140).

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

4114133421420 is a wasteful number, since it uses less digits than its factorization.

4114133421420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 4114133421420 its reverse (241243314114), we get a palindrome (4355376735534).

The spelling of 4114133421420 in words is "four trillion, one hundred fourteen billion, one hundred thirty-three million, four hundred twenty-one thousand, four hundred twenty".