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20413334043144 = 233271391991464251
BaseRepresentation
bin1001010010000110110011…
…00001100011101000001000
32200021111101100101110011100
410221003121201203220020
510133423002003340034
6111225431201101400
74204546306305150
oct451033141435010
980244340343140
1020413334043144
1165602789903a9
1223582a8327860
13b50c7a280c23
145080212a1760
15255ee71b7099
hex1290d9863a08

20413334043144 has 192 divisors, whose sum is σ = 63958527360000. Its totient is φ = 5761320048000.

The previous prime is 20413334043121. The next prime is 20413334043169. The reversal of 20413334043144 is 44134043331402.

20413334043144 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 334 + 0 + 4 + 314 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20413334043099 and 20413334043108.

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 47 ways as a sum of consecutive naturals, for example, 13209019 + ... + 14673269.

It is an arithmetic number, because the mean of its divisors is an integer number (333117330000).

Almost surely, 220413334043144 is an apocalyptic number.

20413334043144 is a gapful number since it is divisible by the number (24) 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 20413334043144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31979263680000).

20413334043144 is an abundant number, since it is smaller than the sum of its proper divisors (43545193316856).

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

20413334043144 is a wasteful number, since it uses less digits than its factorization.

20413334043144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464608 (or 1464601 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 20413334043144 its reverse (44134043331402), we get a palindrome (64547377374546).

The spelling of 20413334043144 in words is "twenty trillion, four hundred thirteen billion, three hundred thirty-four million, forty-three thousand, one hundred forty-four".