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13412244221431 = 1131390891006219
BaseRepresentation
bin1100001100101100100000…
…0011010110110111110111
31202111012100100201210102221
43003023020003112313313
53224221234010041211
644305255552543211
72553000625563106
oct303131003266767
952435310653387
1013412244221431
11430111222a960
121607471551b07
137639ccc296a3
1434522841a03d
15183d3ae92c71
hexc32c80d6df7

13412244221431 has 16 divisors (see below), whose sum is σ = 15103925683200. Its totient is φ = 11799314755200.

The previous prime is 13412244221423. The next prime is 13412244221449.

13412244221431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13412244221431 - 23 = 13412244221423 is a prime.

It is a super-2 number, since 2×134122442214312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13412244225431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12826240 + ... + 13832458.

It is an arithmetic number, because the mean of its divisors is an integer number (943995355200).

Almost surely, 213412244221431 is an apocalyptic number.

13412244221431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13412244221431 is a deficient number, since it is larger than the sum of its proper divisors (1691681461769).

13412244221431 is a wasteful number, since it uses less digits than its factorization.

13412244221431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045350.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 1341224 and 4221431, that added together give a palindrome (5562655).

The spelling of 13412244221431 in words is "thirteen trillion, four hundred twelve billion, two hundred forty-four million, two hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 11 31 341 39089 429979 1006219 1211759 11068409 13329349 31192789 343120679 39332094491 432653039401 1219294929221 13412244221431