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20414140003321 = 1491129121353101
BaseRepresentation
bin1001010010001000010011…
…00100000011001111111001
32200021120110111221110200021
410221010021210003033321
510133431124320101241
6111230043151410441
74204605263664241
oct451041144031771
980246414843607
1020414140003321
116560651922199
122358492223a21
13b5107823c93c
1450809a33cb21
15256042d1a0d1
hex1291099033f9

20414140003321 has 8 divisors (see below), whose sum is σ = 20569350789000. Its totient is φ = 20259171926400.

The previous prime is 20414140003303. The next prime is 20414140003337. The reversal of 20414140003321 is 12330004141402.

It can be written as a sum of positive squares in 4 ways, for example, as 4037833038096 + 16376306965225 = 2009436^2 + 4046765^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20414140003321 - 25 = 20414140003289 is a prime.

It is a super-2 number, since 2×204141400033212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20414140003391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60508330 + ... + 60844771.

It is an arithmetic number, because the mean of its divisors is an integer number (2571168848625).

Almost surely, 220414140003321 is an apocalyptic number.

It is an amenable number.

20414140003321 is a deficient number, since it is larger than the sum of its proper divisors (155210785679).

20414140003321 is a wasteful number, since it uses less digits than its factorization.

20414140003321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121354379.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 20414140003321 its reverse (12330004141402), we get a palindrome (32744144144723).

The spelling of 20414140003321 in words is "twenty trillion, four hundred fourteen billion, one hundred forty million, three thousand, three hundred twenty-one".

Divisors: 1 149 1129 168221 121353101 18081612049 137007651029 20414140003321