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13411112244432 = 2437385110364587
BaseRepresentation
bin1100001100101000010010…
…0101001101010011010000
31202111002102110201101220220
43003022010211031103100
53224211424213310212
644304551354433040
72552630602125450
oct303120445152320
952432373641826
1013411112244432
114300691264881
1216071b6432780
1376387c560c06
1434515bd55d60
15183cc18e238c
hexc328494d4d0

13411112244432 has 80 divisors (see below), whose sum is σ = 39604997832192. Its totient is φ = 3830750985600.

The previous prime is 13411112244389. The next prime is 13411112244437. The reversal of 13411112244432 is 23444221111431.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13411112244393 and 13411112244402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411112244437) 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 15 ways as a sum of consecutive naturals, for example, 3888358 + ... + 6476229.

Almost surely, 213411112244432 is an apocalyptic number.

13411112244432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13411112244432 is an abundant number, since it is smaller than the sum of its proper divisors (26193885587760).

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

13411112244432 is a wasteful number, since it uses less digits than its factorization.

13411112244432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368456 (or 10368450 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

Adding to 13411112244432 its reverse (23444221111431), we get a palindrome (36855333355863).

The spelling of 13411112244432 in words is "thirteen trillion, four hundred eleven billion, one hundred twelve million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3851 7702 11553 15404 23106 26957 30808 46212 53914 61616 80871 92424 107828 161742 184848 215656 323484 431312 646968 1293936 10364587 20729174 31093761 41458348 62187522 72552109 82916696 124375044 145104218 165833392 217656327 248750088 290208436 435312654 497500176 580416872 870625308 1160833744 1741250616 3482501232 39914024537 79828049074 119742073611 159656098148 239484147222 279398171759 319312196296 478968294444 558796343518 638624392592 838194515277 957936588888 1117592687036 1676389030554 1915873177776 2235185374072 3352778061108 4470370748144 6705556122216 13411112244432