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20414200345 = 5711127417511
BaseRepresentation
bin10011000000110001…
…111111101000011001
31221200200220211022021
4103000301333220121
5313302013402340
613213403054441
71321611561040
oct230061775031
957620824267
1020414200345
118726313960
123b58811421
131c0444b8b6
14db9305557
157e72d6e4a
hex4c0c7fa19

20414200345 has 32 divisors (see below), whose sum is σ = 30782324736. Its totient is φ = 12625502400.

The previous prime is 20414200337. The next prime is 20414200349. The reversal of 20414200345 is 54300241402.

It is a happy number.

It is not a de Polignac number, because 20414200345 - 23 = 20414200337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20414200349) 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 31 ways as a sum of consecutive naturals, for example, 159861 + ... + 257650.

It is an arithmetic number, because the mean of its divisors is an integer number (961947648).

Almost surely, 220414200345 is an apocalyptic number.

It is an amenable number.

20414200345 is a deficient number, since it is larger than the sum of its proper divisors (10368124391).

20414200345 is a wasteful number, since it uses less digits than its factorization.

20414200345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417661.

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 20414200345 its reverse (54300241402), we get a palindrome (74714441747).

The spelling of 20414200345 in words is "twenty billion, four hundred fourteen million, two hundred thousand, three hundred forty-five".

Divisors: 1 5 7 11 35 55 77 127 385 635 889 1397 4445 6985 9779 48895 417511 2087555 2922577 4592621 14612885 22963105 32148347 53023897 160741735 265119485 371167279 583262867 1855836395 2916314335 4082840069 20414200345