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41424123420 = 22325557413167
BaseRepresentation
bin100110100101000100…
…011111011000011100
310221220220210111120100
4212211010133120130
51134314033422140
631010250421100
72664346145061
oct464504373034
9127826714510
1041424123420
1116627924049
128040a31790
133ba2129244
14200d79cc68
151126a44530
hex9a511f61c

41424123420 has 72 divisors (see below), whose sum is σ = 125879068224. Its totient is φ = 11026574208.

The previous prime is 41424123413. The next prime is 41424123427. The reversal of 41424123420 is 2432142414.

41424123420 is a `hidden beast` number, since 4 + 1 + 424 + 1 + 234 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41424123413) and next prime (41424123427).

It is a super-2 number, since 2×414241234202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41424123427) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 106324 + ... + 306843.

It is an arithmetic number, because the mean of its divisors is an integer number (1748320392).

Almost surely, 241424123420 is an apocalyptic number.

It is an amenable number.

41424123420 is an abundant number, since it is smaller than the sum of its proper divisors (84454944804).

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

41424123420 is a wasteful number, since it uses less digits than its factorization.

41424123420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413739 (or 413734 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41424123420 its reverse (2432142414), we get a palindrome (43856265834).

The spelling of 41424123420 in words is "forty-one billion, four hundred twenty-four million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 557 1114 1671 2228 2785 3342 5013 5570 6684 8355 10026 11140 16710 20052 25065 33420 50130 100260 413167 826334 1239501 1652668 2065835 2479002 3718503 4131670 4958004 6197505 7437006 8263340 12395010 14874012 18592515 24790020 37185030 74370060 230134019 460268038 690402057 920536076 1150670095 1380804114 2071206171 2301340190 2761608228 3452010285 4142412342 4602680380 6904020570 8284824684 10356030855 13808041140 20712061710 41424123420