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13424422442431 = 7111340932789759
BaseRepresentation
bin1100001101011001110111…
…1011100101010110111111
31202112100210002012112001011
43003112131323211112333
53224421204121124211
644315032230300051
72553611463005440
oct303263573452677
952470702175034
1013424422442431
1143062a1549610
1216098abab7627
13764bc0c91410
14345a6198b2c7
151843001b9921
hexc359dee55bf

13424422442431 has 32 divisors (see below), whose sum is σ = 18068469350400. Its totient is φ = 9632319310080.

The previous prime is 13424422442363. The next prime is 13424422442479.

13424422442431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13424422442431 - 211 = 13424422440383 is a prime.

It is a super-2 number, since 2×134244224424312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424422442731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15985471 + ... + 16804288.

It is an arithmetic number, because the mean of its divisors is an integer number (564639667200).

Almost surely, 213424422442431 is an apocalyptic number.

13424422442431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13424422442431 is a deficient number, since it is larger than the sum of its proper divisors (4644046907969).

13424422442431 is a wasteful number, since it uses less digits than its factorization.

13424422442431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32790199.

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 1342442 and 2442431, that added together give a palindrome (3784873).

The spelling of 13424422442431 in words is "thirteen trillion, four hundred twenty-four billion, four hundred twenty-two million, four hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 409 1001 2863 4499 5317 31493 37219 58487 409409 32789759 229528313 360687349 426266867 2524811443 2983868069 4688935537 13411011431 32822548759 93877080017 147521125741 174343148603 1032647880187 1220402040221 1917774634633 13424422442431