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14221412415 = 325745147341
BaseRepresentation
bin11010011111010100…
…11000100000111111
31100201010002121022100
431033222120200333
5213111140144130
610311102120143
71012264003530
oct151752304077
940633077270
1014221412415
116038686701
12290a880053
131458452442
1498ca70687
155837bbc60
hex34fa9883f

14221412415 has 24 divisors (see below), whose sum is σ = 28171941408. Its totient is φ = 6501216960.

The previous prime is 14221412377. The next prime is 14221412423. The reversal of 14221412415 is 51421412241.

14221412415 is a `hidden beast` number, since 14 + 221 + 4 + 12 + 415 = 666.

It is not a de Polignac number, because 14221412415 - 29 = 14221411903 is a prime.

It is a super-2 number, since 2×142214124152 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22573356 + ... + 22573985.

It is an arithmetic number, because the mean of its divisors is an integer number (1173830892).

Almost surely, 214221412415 is an apocalyptic number.

14221412415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14221412415 is a deficient number, since it is larger than the sum of its proper divisors (13950528993).

14221412415 is a wasteful number, since it uses less digits than its factorization.

14221412415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45147359 (or 45147356 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

Adding to 14221412415 its reverse (51421412241), we get a palindrome (65642824656).

The spelling of 14221412415 in words is "fourteen billion, two hundred twenty-one million, four hundred twelve thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 45147341 135442023 225736705 316031387 406326069 677210115 948094161 1580156935 2031630345 2844282483 4740470805 14221412415