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41421304021 = 10114923311813
BaseRepresentation
bin100110100100111001…
…101111000011010101
310221220201111021002011
4212210321233003111
51134312323212041
631010110144221
72664313163206
oct464471570325
9127821437064
1041421304021
1116626278869
12803bab2071
133ba167cb66
14200d2675ad
151126688e81
hex9a4e6f0d5

41421304021 has 16 divisors (see below), whose sum is σ = 42296482800. Its totient is φ = 40557683200.

The previous prime is 41421304013. The next prime is 41421304109. The reversal of 41421304021 is 12040312414.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 788823396 + 40632480625 = 28086^2 + 201575^2 .

It is a cyclic number.

It is not a de Polignac number, because 41421304021 - 23 = 41421304013 is a prime.

It is a super-2 number, since 2×414213040212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41421303983 and 41421304001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41421704021) 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 15 ways as a sum of consecutive naturals, for example, 3500511 + ... + 3512323.

It is an arithmetic number, because the mean of its divisors is an integer number (2643530175).

Almost surely, 241421304021 is an apocalyptic number.

It is an amenable number.

41421304021 is a deficient number, since it is larger than the sum of its proper divisors (875178779).

41421304021 is a wasteful number, since it uses less digits than its factorization.

41421304021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12296.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 41421304021 its reverse (12040312414), we get a palindrome (53461616435).

The spelling of 41421304021 in words is "forty-one billion, four hundred twenty-one million, three hundred four thousand, twenty-one".

Divisors: 1 101 149 233 11813 15049 23533 34717 1193113 1760137 2752429 3506417 177773837 277995329 410111921 41421304021